diff --git a/pom.xml b/pom.xml
index 7c29bd36811b8eb16cf3d30ca3756f2ec563b9be..c1e8a16daf8e60d25a813c02f84b0bdbd92566a8 100644
--- a/pom.xml
+++ b/pom.xml
@@ -175,6 +175,9 @@
<contributor>
<name>Espen Bjørntvedt</name>
</contributor>
+ <contributor>
+ <name>Bryan Cazabonne</name>
+ </contributor>
<contributor>
<name>Paul Cefola</name>
</contributor>
diff --git a/src/main/java/org/orekit/errors/OrekitMessages.java b/src/main/java/org/orekit/errors/OrekitMessages.java
index d489d8cea8704c223d8e71ec51c68e9bd6728b68..a105fd09f849028ade823ebc0267835531914c9e 100644
--- a/src/main/java/org/orekit/errors/OrekitMessages.java
+++ b/src/main/java/org/orekit/errors/OrekitMessages.java
@@ -218,7 +218,10 @@ public enum OrekitMessages implements Localizable {
DIMENSION_INCONSISTENT_WITH_PARAMETERS("dimension {0} is inconsistent with parameters list: {1}"),
NOT_A_SUPPORTED_UNIX_COMPRESSED_FILE("file {0} is not a supported Unix-compressed file"),
UNEXPECTED_END_OF_FILE("unexpected end of file {0}"),
- CORRUPTED_FILE("file {0} is corrupted");
+ CORRUPTED_FILE("file {0} is corrupted"),
+ VIENNA_ACOEF_OR_ZENITH_DELAY_NOT_LOADED("Vienna coefficients ah or aw or zh or zw could not be loaded from {0}"),
+ VIENNA_ACOEF_OR_ZENITH_DELAY_NOT_AVAILABLE_FOR_DATE("Vienna coefficients ah or aw or zh or zw not available for date {0}"),
+ NO_VIENNA_ACOEF_OR_ZENITH_DELAY_IN_FILE("file {0} does not contain Vienna coefficients ah, aw, zh or zw");
// CHECKSTYLE: resume JavadocVariable check
diff --git a/src/main/java/org/orekit/estimation/measurements/modifiers/AngularTroposphericDelayModifier.java b/src/main/java/org/orekit/estimation/measurements/modifiers/AngularTroposphericDelayModifier.java
index 556a2ceb2d4d0329579bf7963e312d7d08bb726c..999f2e4d4d3b6f549e5086e8ffce2a6b868347b8 100644
--- a/src/main/java/org/orekit/estimation/measurements/modifiers/AngularTroposphericDelayModifier.java
+++ b/src/main/java/org/orekit/estimation/measurements/modifiers/AngularTroposphericDelayModifier.java
@@ -16,7 +16,6 @@
*/
package org.orekit.estimation.measurements.modifiers;
-import java.util.Collections;
import java.util.List;
import org.hipparchus.geometry.euclidean.threed.Vector3D;
@@ -26,7 +25,7 @@ import org.orekit.estimation.measurements.EstimatedMeasurement;
import org.orekit.estimation.measurements.EstimationModifier;
import org.orekit.estimation.measurements.GroundStation;
import org.orekit.frames.Frame;
-import org.orekit.models.earth.TroposphericModel;
+import org.orekit.models.earth.DiscreteTroposphericModel;
import org.orekit.propagation.SpacecraftState;
import org.orekit.time.AbsoluteDate;
import org.orekit.utils.Constants;
@@ -47,13 +46,13 @@ import org.orekit.utils.ParameterDriver;
public class AngularTroposphericDelayModifier implements EstimationModifier<AngularAzEl> {
/** Tropospheric delay model. */
- private final TroposphericModel tropoModel;
+ private final DiscreteTroposphericModel tropoModel;
/** Constructor.
*
* @param model Tropospheric delay model appropriate for the current angular measurement method.
*/
- public AngularTroposphericDelayModifier(final TroposphericModel model) {
+ public AngularTroposphericDelayModifier(final DiscreteTroposphericModel model) {
tropoModel = model;
}
@@ -89,7 +88,7 @@ public class AngularTroposphericDelayModifier implements EstimationModifier<Angu
final double height = getStationHeightAMSL(station);
// delay in meters
- final double delay = tropoModel.pathDelay(elevation, height);
+ final double delay = tropoModel.pathDelay(elevation, height, tropoModel.getParameters(), state.getDate());
// one-way measurement.
return delay;
@@ -101,7 +100,7 @@ public class AngularTroposphericDelayModifier implements EstimationModifier<Angu
/** {@inheritDoc} */
@Override
public List<ParameterDriver> getParametersDrivers() {
- return Collections.emptyList();
+ return tropoModel.getParametersDrivers();
}
@Override
diff --git a/src/main/java/org/orekit/estimation/measurements/modifiers/RangeRateTroposphericDelayModifier.java b/src/main/java/org/orekit/estimation/measurements/modifiers/RangeRateTroposphericDelayModifier.java
index 273929ae56f37bc72fcc10ae38bb420c82fdbb07..95c3180b994d1e9dfd0c02a6a3a2089a6ab49210 100644
--- a/src/main/java/org/orekit/estimation/measurements/modifiers/RangeRateTroposphericDelayModifier.java
+++ b/src/main/java/org/orekit/estimation/measurements/modifiers/RangeRateTroposphericDelayModifier.java
@@ -17,17 +17,22 @@
package org.orekit.estimation.measurements.modifiers;
import java.util.Arrays;
-import java.util.Collections;
import java.util.List;
+import org.hipparchus.Field;
+import org.hipparchus.RealFieldElement;
+import org.hipparchus.analysis.differentiation.DerivativeStructure;
+import org.hipparchus.geometry.euclidean.threed.FieldVector3D;
import org.hipparchus.geometry.euclidean.threed.Vector3D;
import org.orekit.estimation.measurements.EstimatedMeasurement;
import org.orekit.estimation.measurements.EstimationModifier;
import org.orekit.estimation.measurements.GroundStation;
import org.orekit.estimation.measurements.RangeRate;
+import org.orekit.models.earth.DiscreteTroposphericModel;
import org.orekit.models.earth.TroposphericModel;
import org.orekit.orbits.OrbitType;
import org.orekit.orbits.PositionAngle;
+import org.orekit.propagation.FieldSpacecraftState;
import org.orekit.propagation.Propagator;
import org.orekit.propagation.SpacecraftState;
import org.orekit.utils.Differentiation;
@@ -49,7 +54,7 @@ import org.orekit.utils.StateFunction;
public class RangeRateTroposphericDelayModifier implements EstimationModifier<RangeRate> {
/** Tropospheric delay model. */
- private final TroposphericModel tropoModel;
+ private final DiscreteTroposphericModel tropoModel;
/** Two-way measurement factor. */
private final double fTwoWay;
@@ -59,7 +64,7 @@ public class RangeRateTroposphericDelayModifier implements EstimationModifier<Ra
* @param model Tropospheric delay model appropriate for the current range-rate measurement method.
* @param tw Flag indicating whether the measurement is two-way.
*/
- public RangeRateTroposphericDelayModifier(final TroposphericModel model, final boolean tw) {
+ public RangeRateTroposphericDelayModifier(final DiscreteTroposphericModel model, final boolean tw) {
tropoModel = model;
if (tw) {
fTwoWay = 2.;
@@ -79,6 +84,18 @@ public class RangeRateTroposphericDelayModifier implements EstimationModifier<Ra
return height;
}
+ /** Get the station height above mean sea level.
+ * @param <T> type of the element
+ * @param field field of the elements
+ * @param station ground station (or measuring station)
+ * @return the measuring station height above sea level, m
+ */
+ private <T extends RealFieldElement<T>> T getStationHeightAMSL(final Field<T> field, final GroundStation station) {
+ // FIXME heigth should be computed with respect to geoid WGS84+GUND = EGM2008 for example
+ final T height = station.getBaseFrame().getPoint(field).getAltitude();
+ return height;
+ }
+
/** Compute the measurement error due to Troposphere.
* @param station station
* @param state spacecraft state
@@ -105,7 +122,7 @@ public class RangeRateTroposphericDelayModifier implements EstimationModifier<Ra
// only consider measures above the horizon
if (elevation1 > 0) {
// tropospheric delay in meters
- final double d1 = tropoModel.pathDelay(elevation1, height);
+ final double d1 = tropoModel.pathDelay(elevation1, height, tropoModel.getParameters(), state.getDate());
// propagate spacecraft state forward by dt
final SpacecraftState state2 = state.shiftedBy(dt);
@@ -119,7 +136,7 @@ public class RangeRateTroposphericDelayModifier implements EstimationModifier<Ra
state2.getDate());
// tropospheric delay dt after
- final double d2 = tropoModel.pathDelay(elevation2, height);
+ final double d2 = tropoModel.pathDelay(elevation2, height, tropoModel.getParameters(), state2.getDate());
return fTwoWay * (d2 - d1) / dt;
}
@@ -128,16 +145,68 @@ public class RangeRateTroposphericDelayModifier implements EstimationModifier<Ra
}
- /** Compute the Jacobian of the delay term wrt state.
- *
+ /** Compute the measurement error due to Troposphere.
+ * @param <T> type of the element
* @param station station
- * @param refstate spacecraft state
- * @param delay current tropospheric delay
- * @return Jacobian of the delay wrt state
+ * @param state spacecraft state
+ * @param parameters tropospheric model parameters
+ * @return the measurement error due to Troposphere
*/
+ public <T extends RealFieldElement<T>> T rangeRateErrorTroposphericModel(final GroundStation station,
+ final FieldSpacecraftState<T> state,
+ final T[] parameters) {
+ // Field
+ final Field<T> field = state.getDate().getField();
+ final T zero = field.getZero();
+
+ // The effect of tropospheric correction on the range rate is
+ // computed using finite differences.
+
+ final double dt = 10; // s
+
+ // station altitude AMSL in meters
+ final T height = getStationHeightAMSL(field, station);
+
+ // spacecraft position and elevation as seen from the ground station
+ final FieldVector3D<T> position = state.getPVCoordinates().getPosition();
+ final T elevation1 = station.getBaseFrame().getElevation(position,
+ state.getFrame(),
+ state.getDate());
+
+ // only consider measures above the horizon
+ if (elevation1.getReal() > 0) {
+ // tropospheric delay in meters
+ final T d1 = tropoModel.pathDelay(elevation1, height, parameters, state.getDate());
+
+ // propagate spacecraft state forward by dt
+ final FieldSpacecraftState<T> state2 = state.shiftedBy(dt);
+
+ // spacecraft position and elevation as seen from the ground station
+ final FieldVector3D<T> position2 = state2.getPVCoordinates().getPosition();
+
+ // elevation
+ final T elevation2 = station.getBaseFrame().getElevation(position2,
+ state2.getFrame(),
+ state2.getDate());
+
+
+ // tropospheric delay dt after
+ final T d2 = tropoModel.pathDelay(elevation2, height, parameters, state2.getDate());
+
+ return (d2.subtract(d1)).divide(dt).multiply(fTwoWay);
+ }
+
+ return zero;
+ }
+
+ /** Compute the Jacobian of the delay term wrt state.
+ *
+ * @param station station
+ * @param refstate spacecraft state
+ * @return Jacobian of the delay wrt state
+ */
private double[][] rangeRateErrorJacobianState(final GroundStation station,
- final SpacecraftState refstate,
- final double delay) {
+ final SpacecraftState refstate) {
final double[][] finiteDifferencesJacobian =
Differentiation.differentiate(new StateFunction() {
public double[] value(final SpacecraftState state) {
@@ -152,18 +221,33 @@ public class RangeRateTroposphericDelayModifier implements EstimationModifier<Ra
return finiteDifferencesJacobian;
}
+ /** Compute the Jacobian of the delay term wrt state using
+ * automatic differentiation.
+ *
+ * @param derivatives tropospheric delay derivatives
+ * @param freeStateParameters dimension of the state.
+ *
+ * @return Jacobian of the delay wrt state
+ */
+ private double[][] rangeRateErrorJacobianState(final double[] derivatives, final int freeStateParameters) {
+ final double[][] finiteDifferencesJacobian = new double[1][6];
+ for (int i = 0; i < freeStateParameters; i++) {
+ // First element is the value of the delay
+ finiteDifferencesJacobian[0][i] = derivatives[i + 1];
+ }
+ return finiteDifferencesJacobian;
+ }
+
/** Compute the derivative of the delay term wrt parameters.
*
* @param station ground station
* @param driver driver for the station offset parameter
* @param state spacecraft state
- * @param delay current ionospheric delay
* @return derivative of the delay wrt station offset parameter
*/
private double rangeRateErrorParameterDerivative(final GroundStation station,
final ParameterDriver driver,
- final SpacecraftState state,
- final double delay) {
+ final SpacecraftState state) {
final ParameterFunction rangeError = new ParameterFunction() {
/** {@inheritDoc} */
@@ -180,10 +264,31 @@ public class RangeRateTroposphericDelayModifier implements EstimationModifier<Ra
}
+ /** Compute the derivative of the delay term wrt parameters using
+ * automatic differentiation.
+ *
+ * @param derivatives tropospheric delay derivatives
+ * @param freeStateParameters dimension of the state.
+ * @return derivative of the delay wrt tropospheric model parameters
+ */
+ private double[] rangeRateErrorParameterDerivative(final double[] derivatives, final int freeStateParameters) {
+ // 0 -> value of the delay
+ // 1 ... freeStateParameters -> derivatives of the delay wrt state
+ // freeStateParameters + 1 ... n -> derivatives of the delay wrt tropospheric parameters
+ final int dim = derivatives.length - 1 - freeStateParameters;
+ final double[] rangeError = new double[dim];
+
+ for (int i = 0; i < dim; i++) {
+ rangeError[i] = derivatives[1 + freeStateParameters + i];
+ }
+
+ return rangeError;
+ }
+
/** {@inheritDoc} */
@Override
public List<ParameterDriver> getParametersDrivers() {
- return Collections.emptyList();
+ return tropoModel.getParametersDrivers();
}
/** {@inheritDoc} */
@@ -195,18 +300,21 @@ public class RangeRateTroposphericDelayModifier implements EstimationModifier<Ra
final double[] oldValue = estimated.getEstimatedValue();
- final double delay = rangeRateErrorTroposphericModel(station, state);
-
- // update estimated value taking into account the tropospheric delay.
- // The tropospheric delay is directly added to the range.
- final double[] newValue = oldValue.clone();
- newValue[0] = newValue[0] + delay;
- estimated.setEstimatedValue(newValue);
-
// update estimated derivatives with Jacobian of the measure wrt state
- final double[][] djac = rangeRateErrorJacobianState(station,
- state,
- delay);
+ final TroposphericDSConverter converter = new TroposphericDSConverter(state, 6, Propagator.DEFAULT_LAW);
+ final FieldSpacecraftState<DerivativeStructure> dsState = converter.getState(tropoModel);
+ final DerivativeStructure[] dsParameters = converter.getParameters(dsState, tropoModel);
+ final DerivativeStructure dsDelay = rangeRateErrorTroposphericModel(station, dsState, dsParameters);
+ final double[] derivatives = dsDelay.getAllDerivatives();
+
+ double[][] djac = new double[1][6];
+ // This implementation will disappear when the implementations of TroposphericModel
+ // will directly be implementations of DiscreteTroposphericModel
+ if (tropoModel instanceof TroposphericModel) {
+ djac = rangeRateErrorJacobianState(station, state);
+ } else {
+ djac = rangeRateErrorJacobianState(derivatives, converter.getFreeStateParameters());
+ }
final double[][] stateDerivatives = estimated.getStateDerivatives(0);
for (int irow = 0; irow < stateDerivatives.length; ++irow) {
for (int jcol = 0; jcol < stateDerivatives[0].length; ++jcol) {
@@ -215,6 +323,19 @@ public class RangeRateTroposphericDelayModifier implements EstimationModifier<Ra
}
estimated.setStateDerivatives(0, stateDerivatives);
+ int index = 0;
+ for (final ParameterDriver driver : getParametersDrivers()) {
+ if (driver.isSelected()) {
+ // update estimated derivatives with derivative of the modification wrt tropospheric parameters
+ double parameterDerivative = estimated.getParameterDerivatives(driver)[0];
+ final double[] dDelaydP = rangeRateErrorParameterDerivative(derivatives, converter.getFreeStateParameters());
+ parameterDerivative += dDelaydP[index];
+ estimated.setParameterDerivatives(driver, parameterDerivative);
+ index += 1;
+ }
+
+ }
+
for (final ParameterDriver driver : Arrays.asList(station.getClockOffsetDriver(),
station.getEastOffsetDriver(),
station.getNorthOffsetDriver(),
@@ -222,11 +343,17 @@ public class RangeRateTroposphericDelayModifier implements EstimationModifier<Ra
if (driver.isSelected()) {
// update estimated derivatives with derivative of the modification wrt station parameters
double parameterDerivative = estimated.getParameterDerivatives(driver)[0];
- parameterDerivative += rangeRateErrorParameterDerivative(station, driver, state, delay);
+ parameterDerivative += rangeRateErrorParameterDerivative(station, driver, state);
estimated.setParameterDerivatives(driver, parameterDerivative);
}
}
+ // update estimated value taking into account the tropospheric delay.
+ // The tropospheric delay is directly added to the range.
+ final double[] newValue = oldValue.clone();
+ newValue[0] = newValue[0] + dsDelay.getReal();
+ estimated.setEstimatedValue(newValue);
+
}
}
diff --git a/src/main/java/org/orekit/estimation/measurements/modifiers/RangeTroposphericDelayModifier.java b/src/main/java/org/orekit/estimation/measurements/modifiers/RangeTroposphericDelayModifier.java
index 01929c602bb3f9d48b332daf98cf5981c2ce3b3e..a8f67c163ce8cf81b7bc8f67d8283232025770be 100644
--- a/src/main/java/org/orekit/estimation/measurements/modifiers/RangeTroposphericDelayModifier.java
+++ b/src/main/java/org/orekit/estimation/measurements/modifiers/RangeTroposphericDelayModifier.java
@@ -17,17 +17,22 @@
package org.orekit.estimation.measurements.modifiers;
import java.util.Arrays;
-import java.util.Collections;
import java.util.List;
+import org.hipparchus.Field;
+import org.hipparchus.RealFieldElement;
+import org.hipparchus.analysis.differentiation.DerivativeStructure;
+import org.hipparchus.geometry.euclidean.threed.FieldVector3D;
import org.hipparchus.geometry.euclidean.threed.Vector3D;
import org.orekit.estimation.measurements.EstimatedMeasurement;
import org.orekit.estimation.measurements.EstimationModifier;
import org.orekit.estimation.measurements.GroundStation;
import org.orekit.estimation.measurements.Range;
+import org.orekit.models.earth.DiscreteTroposphericModel;
import org.orekit.models.earth.TroposphericModel;
import org.orekit.orbits.OrbitType;
import org.orekit.orbits.PositionAngle;
+import org.orekit.propagation.FieldSpacecraftState;
import org.orekit.propagation.Propagator;
import org.orekit.propagation.SpacecraftState;
import org.orekit.utils.Differentiation;
@@ -49,13 +54,13 @@ import org.orekit.utils.StateFunction;
public class RangeTroposphericDelayModifier implements EstimationModifier<Range> {
/** Tropospheric delay model. */
- private final TroposphericModel tropoModel;
+ private final DiscreteTroposphericModel tropoModel;
/** Constructor.
*
* @param model Tropospheric delay model appropriate for the current range measurement method.
*/
- public RangeTroposphericDelayModifier(final TroposphericModel model) {
+ public RangeTroposphericDelayModifier(final DiscreteTroposphericModel model) {
tropoModel = model;
}
@@ -70,6 +75,18 @@ public class RangeTroposphericDelayModifier implements EstimationModifier<Range>
return height;
}
+ /** Get the station height above mean sea level.
+ * @param <T> type of the elements
+ * @param field field of the elements
+ * @param station ground station (or measuring station)
+ * @return the measuring station height above sea level, m
+ */
+ private <T extends RealFieldElement<T>> T getStationHeightAMSL(final Field<T> field, final GroundStation station) {
+ // FIXME heigth should be computed with respect to geoid WGS84+GUND = EGM2008 for example
+ final T height = station.getBaseFrame().getPoint(field).getAltitude();
+ return height;
+ }
+
/** Compute the measurement error due to Troposphere.
* @param station station
* @param state spacecraft state
@@ -90,7 +107,7 @@ public class RangeTroposphericDelayModifier implements EstimationModifier<Range>
final double height = getStationHeightAMSL(station);
// delay in meters
- final double delay = tropoModel.pathDelay(elevation, height);
+ final double delay = tropoModel.pathDelay(elevation, height, tropoModel.getParameters(), state.getDate());
return delay;
}
@@ -98,41 +115,91 @@ public class RangeTroposphericDelayModifier implements EstimationModifier<Range>
return 0;
}
- /** Compute the Jacobian of the delay term wrt state.
- *
+ /** Compute the measurement error due to Troposphere.
+ * @param <T> type of the element
* @param station station
- * @param refstate reference spacecraft state
- *
- * @return Jacobian of the delay wrt state
+ * @param state spacecraft state
+ * @param parameters tropospheric model parameters
+ * @return the measurement error due to Troposphere
*/
+ private <T extends RealFieldElement<T>> T rangeErrorTroposphericModel(final GroundStation station,
+ final FieldSpacecraftState<T> state,
+ final T[] parameters) {
+
+ // Field
+ final Field<T> field = state.getDate().getField();
+ final T zero = field.getZero();
+
+ // satellite elevation
+ final FieldVector3D<T> position = state.getPVCoordinates().getPosition();
+ final T elevation = station.getBaseFrame().getElevation(position,
+ state.getFrame(),
+ state.getDate());
+
+
+ // only consider measures above the horizon
+ if (elevation.getReal() > 0) {
+ // altitude AMSL in meters
+ final T height = getStationHeightAMSL(field, station);
+
+ // delay in meters
+ final T delay = tropoModel.pathDelay(elevation, height, parameters, state.getDate());
+
+ return delay;
+ }
+
+ return zero;
+ }
+
+ /** Compute the Jacobian of the delay term wrt state using
+ * automatic differentiation.
+ *
+ * @param derivatives tropospheric delay derivatives
+ * @param freeStateParameters dimension of the state.
+ *
+ * @return Jacobian of the delay wrt state
+ */
+ private double[][] rangeErrorJacobianState(final double[] derivatives, final int freeStateParameters) {
+ final double[][] finiteDifferencesJacobian = new double[1][6];
+ for (int i = 0; i < freeStateParameters; i++) {
+ // First element is the value of the delay
+ finiteDifferencesJacobian[0][i] = derivatives[i + 1];
+ }
+ return finiteDifferencesJacobian;
+ }
+
+ /** Compute the Jacobian of the delay term wrt state.
+ *
+ * @param station station
+ * @param refstate reference spacecraft state
+ *
+ * @return Jacobian of the delay wrt state
+ */
private double[][] rangeErrorJacobianState(final GroundStation station, final SpacecraftState refstate) {
final double[][] finiteDifferencesJacobian =
- Differentiation.differentiate(new StateFunction() {
- public double[] value(final SpacecraftState state) {
- // evaluate target's elevation with a changed target position
- final double value = rangeErrorTroposphericModel(station, state);
+ Differentiation.differentiate(new StateFunction() {
+ public double[] value(final SpacecraftState state) {
+ // evaluate target's elevation with a changed target position
+ final double value = rangeErrorTroposphericModel(station, state);
- return new double[] {value };
- }
- }, 1, Propagator.DEFAULT_LAW, OrbitType.CARTESIAN,
- PositionAngle.TRUE, 15.0, 3).value(refstate);
+ return new double[] {value };
+ }
+ }, 1, Propagator.DEFAULT_LAW, OrbitType.CARTESIAN,
+ PositionAngle.TRUE, 15.0, 3).value(refstate);
return finiteDifferencesJacobian;
}
-
/** Compute the derivative of the delay term wrt parameters.
*
* @param station ground station
* @param driver driver for the station offset parameter
* @param state spacecraft state
- * @param delay current ionospheric delay
* @return derivative of the delay wrt station offset parameter
*/
private double rangeErrorParameterDerivative(final GroundStation station,
final ParameterDriver driver,
- final SpacecraftState state,
- final double delay) {
+ final SpacecraftState state) {
final ParameterFunction rangeError = new ParameterFunction() {
/** {@inheritDoc} */
@@ -149,10 +216,31 @@ public class RangeTroposphericDelayModifier implements EstimationModifier<Range>
}
+ /** Compute the derivative of the delay term wrt parameters using
+ * automatic differentiation.
+ *
+ * @param derivatives tropospheric delay derivatives
+ * @param freeStateParameters dimension of the state.
+ * @return derivative of the delay wrt tropospheric model parameters
+ */
+ private double[] rangeErrorParameterDerivative(final double[] derivatives, final int freeStateParameters) {
+ // 0 -> value of the delay
+ // 1 ... freeStateParameters -> derivatives of the delay wrt state
+ // freeStateParameters + 1 ... n -> derivatives of the delay wrt tropospheric parameters
+ final int dim = derivatives.length - 1 - freeStateParameters;
+ final double[] rangeError = new double[dim];
+
+ for (int i = 0; i < dim; i++) {
+ rangeError[i] = derivatives[1 + freeStateParameters + i];
+ }
+
+ return rangeError;
+ }
+
/** {@inheritDoc} */
@Override
public List<ParameterDriver> getParametersDrivers() {
- return Collections.emptyList();
+ return tropoModel.getParametersDrivers();
}
/** {@inheritDoc} */
@@ -164,17 +252,22 @@ public class RangeTroposphericDelayModifier implements EstimationModifier<Range>
final double[] oldValue = estimated.getEstimatedValue();
- final double delay = rangeErrorTroposphericModel(station, state);
+ // update estimated derivatives with Jacobian of the measure wrt state
+ final TroposphericDSConverter converter = new TroposphericDSConverter(state, 6, Propagator.DEFAULT_LAW);
+ final FieldSpacecraftState<DerivativeStructure> dsState = converter.getState(tropoModel);
+ final DerivativeStructure[] dsParameters = converter.getParameters(dsState, tropoModel);
+ final DerivativeStructure dsDelay = rangeErrorTroposphericModel(station, dsState, dsParameters);
+ final double[] derivatives = dsDelay.getAllDerivatives();
- // update estimated value taking into account the tropospheric delay.
- // The tropospheric delay is directly added to the range.
- final double[] newValue = oldValue.clone();
- newValue[0] = newValue[0] + delay;
- estimated.setEstimatedValue(newValue);
+ double[][] djac = new double[1][6];
+ // This implementation will disappear when the implementations of TroposphericModel
+ // will directly be implementations of DiscreteTroposphericModel
+ if (tropoModel instanceof TroposphericModel) {
+ djac = rangeErrorJacobianState(station, state);
+ } else {
+ djac = rangeErrorJacobianState(derivatives, converter.getFreeStateParameters());
+ }
- // update estimated derivatives with Jacobian of the measure wrt state
- final double[][] djac = rangeErrorJacobianState(station,
- state);
final double[][] stateDerivatives = estimated.getStateDerivatives(0);
for (int irow = 0; irow < stateDerivatives.length; ++irow) {
for (int jcol = 0; jcol < stateDerivatives[0].length; ++jcol) {
@@ -183,6 +276,19 @@ public class RangeTroposphericDelayModifier implements EstimationModifier<Range>
}
estimated.setStateDerivatives(0, stateDerivatives);
+ int index = 0;
+ for (final ParameterDriver driver : getParametersDrivers()) {
+ if (driver.isSelected()) {
+ // update estimated derivatives with derivative of the modification wrt tropospheric parameters
+ double parameterDerivative = estimated.getParameterDerivatives(driver)[0];
+ final double[] dDelaydP = rangeErrorParameterDerivative(derivatives, converter.getFreeStateParameters());
+ parameterDerivative += dDelaydP[index];
+ estimated.setParameterDerivatives(driver, parameterDerivative);
+ index = index + 1;
+ }
+
+ }
+
for (final ParameterDriver driver : Arrays.asList(station.getClockOffsetDriver(),
station.getEastOffsetDriver(),
station.getNorthOffsetDriver(),
@@ -190,11 +296,17 @@ public class RangeTroposphericDelayModifier implements EstimationModifier<Range>
if (driver.isSelected()) {
// update estimated derivatives with derivative of the modification wrt station parameters
double parameterDerivative = estimated.getParameterDerivatives(driver)[0];
- parameterDerivative += rangeErrorParameterDerivative(station, driver, state, delay);
+ parameterDerivative += rangeErrorParameterDerivative(station, driver, state);
estimated.setParameterDerivatives(driver, parameterDerivative);
}
}
+ // update estimated value taking into account the tropospheric delay.
+ // The tropospheric delay is directly added to the range.
+ final double[] newValue = oldValue.clone();
+ newValue[0] = newValue[0] + dsDelay.getReal();
+ estimated.setEstimatedValue(newValue);
+
}
}
diff --git a/src/main/java/org/orekit/estimation/measurements/modifiers/TroposphericDSConverter.java b/src/main/java/org/orekit/estimation/measurements/modifiers/TroposphericDSConverter.java
new file mode 100644
index 0000000000000000000000000000000000000000..60ebb1bec4d3d6d2feb8ecb444f77bd2c7813660
--- /dev/null
+++ b/src/main/java/org/orekit/estimation/measurements/modifiers/TroposphericDSConverter.java
@@ -0,0 +1,226 @@
+/* Copyright 2002-2019 CS Systèmes d'Information
+ * Licensed to CS Systèmes d'Information (CS) under one or more
+ * contributor license agreements. See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * CS licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License. You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.orekit.estimation.measurements.modifiers;
+
+import java.util.ArrayList;
+import java.util.List;
+
+import org.hipparchus.analysis.differentiation.DSFactory;
+import org.hipparchus.analysis.differentiation.DerivativeStructure;
+import org.hipparchus.geometry.euclidean.threed.FieldRotation;
+import org.hipparchus.geometry.euclidean.threed.FieldVector3D;
+import org.hipparchus.geometry.euclidean.threed.Vector3D;
+import org.orekit.attitudes.AttitudeProvider;
+import org.orekit.attitudes.FieldAttitude;
+import org.orekit.models.earth.DiscreteTroposphericModel;
+import org.orekit.orbits.FieldCartesianOrbit;
+import org.orekit.orbits.FieldOrbit;
+import org.orekit.propagation.FieldSpacecraftState;
+import org.orekit.propagation.SpacecraftState;
+import org.orekit.utils.FieldAngularCoordinates;
+import org.orekit.utils.FieldPVCoordinates;
+import org.orekit.utils.ParameterDriver;
+import org.orekit.utils.TimeStampedFieldAngularCoordinates;
+import org.orekit.utils.TimeStampedFieldPVCoordinates;
+
+/** Converter for states and parameters arrays.
+ * @author Luc Maisonobe
+ */
+public class TroposphericDSConverter {
+
+ /** Dimension of the state. */
+ private final int freeStateParameters;
+
+ /** States with various number of additional parameters for tropospheric models. */
+ private final List<FieldSpacecraftState<DerivativeStructure>> dsStates;
+
+ /** Simple constructor.
+ * @param state regular state
+ * @param freeStateParameters number of free parameters, either 3 (position) or 6 (position-velocity)
+ * @param provider provider to use if attitude needs to be recomputed
+ */
+ public TroposphericDSConverter(final SpacecraftState state, final int freeStateParameters, final AttitudeProvider provider) {
+
+ this.freeStateParameters = freeStateParameters;
+
+ // prepare derivation variables, position, optionally velocity
+ final DSFactory factory = new DSFactory(freeStateParameters, 1);
+
+ // position always has derivatives
+ final Vector3D pos = state.getPVCoordinates().getPosition();
+ final FieldVector3D<DerivativeStructure> posDS = new FieldVector3D<>(factory.variable(0, pos.getX()),
+ factory.variable(1, pos.getY()),
+ factory.variable(2, pos.getZ()));
+
+ // velocity may have derivatives or not
+ final Vector3D vel = state.getPVCoordinates().getVelocity();
+ final FieldVector3D<DerivativeStructure> velDS;
+ if (freeStateParameters > 3) {
+ velDS = new FieldVector3D<>(factory.variable(3, vel.getX()),
+ factory.variable(4, vel.getY()),
+ factory.variable(5, vel.getZ()));
+ } else {
+ velDS = new FieldVector3D<>(factory.constant(vel.getX()),
+ factory.constant(vel.getY()),
+ factory.constant(vel.getZ()));
+ }
+
+ // acceleration never has derivatives
+ final Vector3D acc = state.getPVCoordinates().getAcceleration();
+ final FieldVector3D<DerivativeStructure> accDS = new FieldVector3D<>(factory.constant(acc.getX()),
+ factory.constant(acc.getY()),
+ factory.constant(acc.getZ()));
+
+ // mass never has derivatives
+ final DerivativeStructure dsM = factory.constant(state.getMass());
+
+ final FieldOrbit<DerivativeStructure> dsOrbit =
+ new FieldCartesianOrbit<>(new TimeStampedFieldPVCoordinates<>(state.getDate(), posDS, velDS, accDS),
+ state.getFrame(), state.getMu());
+
+ final FieldAttitude<DerivativeStructure> dsAttitude;
+ if (freeStateParameters > 3) {
+ // compute attitude partial derivatives with respect to position/velocity
+ dsAttitude = provider.getAttitude(dsOrbit, dsOrbit.getDate(), dsOrbit.getFrame());
+ } else {
+ // force model does not depend on attitude, don't bother recomputing it
+ dsAttitude = new FieldAttitude<>(factory.getDerivativeField(), state.getAttitude());
+ }
+
+ // initialize the list with the state having 0 formce model parameters
+ dsStates = new ArrayList<>();
+ dsStates.add(new FieldSpacecraftState<>(dsOrbit, dsAttitude, dsM));
+
+ }
+
+ /** Get the number of free state parameters.
+ * @return number of free state parameters
+ */
+ public int getFreeStateParameters() {
+ return freeStateParameters;
+ }
+
+ /** Get the state with the number of parameters consistent with tropospheric model.
+ * @param tropoModel tropospheric model
+ * @return state with the number of parameters consistent with tropospheric model
+ */
+ public FieldSpacecraftState<DerivativeStructure> getState(final DiscreteTroposphericModel tropoModel) {
+
+ // count the required number of parameters
+ int nbParams = 0;
+ for (final ParameterDriver driver : tropoModel.getParametersDrivers()) {
+ if (driver.isSelected()) {
+ ++nbParams;
+ }
+ }
+
+ // fill in intermediate slots
+ while (dsStates.size() < nbParams + 1) {
+ dsStates.add(null);
+ }
+
+ if (dsStates.get(nbParams) == null) {
+ // it is the first time we need this number of parameters
+ // we need to create the state
+ final DSFactory factory = new DSFactory(freeStateParameters + nbParams, 1);
+ final FieldSpacecraftState<DerivativeStructure> s0 = dsStates.get(0);
+
+ // orbit
+ final FieldPVCoordinates<DerivativeStructure> pv0 = s0.getPVCoordinates();
+ final FieldOrbit<DerivativeStructure> dsOrbit =
+ new FieldCartesianOrbit<>(new TimeStampedFieldPVCoordinates<>(s0.getDate().toAbsoluteDate(),
+ extend(pv0.getPosition(), factory),
+ extend(pv0.getVelocity(), factory),
+ extend(pv0.getAcceleration(), factory)),
+ s0.getFrame(), s0.getMu());
+
+ // attitude
+ final FieldAngularCoordinates<DerivativeStructure> ac0 = s0.getAttitude().getOrientation();
+ final FieldAttitude<DerivativeStructure> dsAttitude =
+ new FieldAttitude<>(s0.getAttitude().getReferenceFrame(),
+ new TimeStampedFieldAngularCoordinates<>(dsOrbit.getDate(),
+ extend(ac0.getRotation(), factory),
+ extend(ac0.getRotationRate(), factory),
+ extend(ac0.getRotationAcceleration(), factory)));
+
+ // mass
+ final DerivativeStructure dsM = extend(s0.getMass(), factory);
+
+ dsStates.set(nbParams, new FieldSpacecraftState<>(dsOrbit, dsAttitude, dsM));
+
+ }
+
+ return dsStates.get(nbParams);
+
+ }
+
+ /** Add zero derivatives.
+ * @param original original scalar
+ * @param factory factory for the extended derivatives
+ * @return extended scalar
+ */
+ private DerivativeStructure extend(final DerivativeStructure original, final DSFactory factory) {
+ final double[] originalDerivatives = original.getAllDerivatives();
+ final double[] extendedDerivatives = new double[factory.getCompiler().getSize()];
+ System.arraycopy(originalDerivatives, 0, extendedDerivatives, 0, originalDerivatives.length);
+ return factory.build(extendedDerivatives);
+ }
+
+ /** Add zero derivatives.
+ * @param original original vector
+ * @param factory factory for the extended derivatives
+ * @return extended vector
+ */
+ private FieldVector3D<DerivativeStructure> extend(final FieldVector3D<DerivativeStructure> original, final DSFactory factory) {
+ return new FieldVector3D<>(extend(original.getX(), factory),
+ extend(original.getY(), factory),
+ extend(original.getZ(), factory));
+ }
+
+ /** Add zero derivatives.
+ * @param original original rotation
+ * @param factory factory for the extended derivatives
+ * @return extended rotation
+ */
+ private FieldRotation<DerivativeStructure> extend(final FieldRotation<DerivativeStructure> original, final DSFactory factory) {
+ return new FieldRotation<>(extend(original.getQ0(), factory),
+ extend(original.getQ1(), factory),
+ extend(original.getQ2(), factory),
+ extend(original.getQ3(), factory),
+ false);
+ }
+
+ /** Get the tropospheric model parameters.
+ * @param state state as returned by {@link #getState(DiscreteTroposphericModel)}
+ * @param tropoModel tropospheric model associated with the parameters
+ * @return tropospheric model parameters
+ */
+ public DerivativeStructure[] getParameters(final FieldSpacecraftState<DerivativeStructure> state,
+ final DiscreteTroposphericModel tropoModel) {
+ final DSFactory factory = state.getMass().getFactory();
+ final List<ParameterDriver> drivers = tropoModel.getParametersDrivers();
+ final DerivativeStructure[] parameters = new DerivativeStructure[drivers.size()];
+ int index = freeStateParameters;
+ for (int i = 0; i < drivers.size(); ++i) {
+ parameters[i] = drivers.get(i).isSelected() ?
+ factory.variable(index++, drivers.get(i).getValue()) :
+ factory.constant(drivers.get(i).getValue());
+ }
+ return parameters;
+ }
+
+}
diff --git a/src/main/java/org/orekit/estimation/measurements/modifiers/TurnAroundRangeTroposphericDelayModifier.java b/src/main/java/org/orekit/estimation/measurements/modifiers/TurnAroundRangeTroposphericDelayModifier.java
index eaf1944d142fb0dcdb1912a9b3be706aca76e934..86821ee5c7057a4dc3b3ee5c24ef864f4925c351 100644
--- a/src/main/java/org/orekit/estimation/measurements/modifiers/TurnAroundRangeTroposphericDelayModifier.java
+++ b/src/main/java/org/orekit/estimation/measurements/modifiers/TurnAroundRangeTroposphericDelayModifier.java
@@ -17,17 +17,22 @@
package org.orekit.estimation.measurements.modifiers;
import java.util.Arrays;
-import java.util.Collections;
import java.util.List;
+import org.hipparchus.Field;
+import org.hipparchus.RealFieldElement;
+import org.hipparchus.analysis.differentiation.DerivativeStructure;
+import org.hipparchus.geometry.euclidean.threed.FieldVector3D;
import org.hipparchus.geometry.euclidean.threed.Vector3D;
import org.orekit.estimation.measurements.EstimatedMeasurement;
import org.orekit.estimation.measurements.EstimationModifier;
import org.orekit.estimation.measurements.GroundStation;
import org.orekit.estimation.measurements.TurnAroundRange;
+import org.orekit.models.earth.DiscreteTroposphericModel;
import org.orekit.models.earth.TroposphericModel;
import org.orekit.orbits.OrbitType;
import org.orekit.orbits.PositionAngle;
+import org.orekit.propagation.FieldSpacecraftState;
import org.orekit.propagation.Propagator;
import org.orekit.propagation.SpacecraftState;
import org.orekit.utils.Differentiation;
@@ -48,13 +53,13 @@ import org.orekit.utils.StateFunction;
public class TurnAroundRangeTroposphericDelayModifier implements EstimationModifier<TurnAroundRange> {
/** Tropospheric delay model. */
- private final TroposphericModel tropoModel;
+ private final DiscreteTroposphericModel tropoModel;
/** Constructor.
*
* @param model Tropospheric delay model appropriate for the current TurnAroundRange measurement method.
*/
- public TurnAroundRangeTroposphericDelayModifier(final TroposphericModel model) {
+ public TurnAroundRangeTroposphericDelayModifier(final DiscreteTroposphericModel model) {
tropoModel = model;
}
@@ -69,6 +74,19 @@ public class TurnAroundRangeTroposphericDelayModifier implements EstimationModif
return height;
}
+ /** Get the station height above mean sea level.
+ * @param <T> type of the elements
+ * @param field field of the elements
+ * @param station ground station (or measuring station)
+ * @return the measuring station height above sea level, m
+ */
+ private <T extends RealFieldElement<T>> T getStationHeightAMSL(final Field<T> field,
+ final GroundStation station) {
+ // FIXME heigth should be computed with respect to geoid WGS84+GUND = EGM2008 for example
+ final T height = station.getBaseFrame().getPoint(field).getAltitude();
+ return height;
+ }
+
/** Compute the measurement error due to Troposphere.
* @param station station
* @param state spacecraft state
@@ -89,7 +107,7 @@ public class TurnAroundRangeTroposphericDelayModifier implements EstimationModif
final double height = getStationHeightAMSL(station);
// Delay in meters
- final double delay = tropoModel.pathDelay(elevation, height);
+ final double delay = tropoModel.pathDelay(elevation, height, tropoModel.getParameters(), state.getDate());
return delay;
}
@@ -97,13 +115,47 @@ public class TurnAroundRangeTroposphericDelayModifier implements EstimationModif
return 0;
}
- /** Compute the Jacobian of the delay term wrt state.
- *
+ /** Compute the measurement error due to Troposphere.
+ * @param <T> type of the element
* @param station station
- * @param refstate reference spacecraft state
- *
- * @return Jacobian of the delay wrt state
+ * @param state spacecraft state
+ * @param parameters tropospheric model parameters
+ * @return the measurement error due to Troposphere
*/
+ private <T extends RealFieldElement<T>> T rangeErrorTroposphericModel(final GroundStation station,
+ final FieldSpacecraftState<T> state,
+ final T[] parameters) {
+ // Field
+ final Field<T> field = state.getDate().getField();
+ final T zero = field.getZero();
+
+ //
+ final FieldVector3D<T> position = state.getPVCoordinates().getPosition();
+ final T dsElevation = station.getBaseFrame().getElevation(position,
+ state.getFrame(),
+ state.getDate());
+
+ // only consider measures above the horizon
+ if (dsElevation.getReal() > 0) {
+ // altitude AMSL in meters
+ final T height = getStationHeightAMSL(field, station);
+
+ // Delay in meters
+ final T delay = tropoModel.pathDelay(dsElevation, height, parameters, state.getDate());
+
+ return delay;
+ }
+
+ return zero;
+ }
+
+ /** Compute the Jacobian of the delay term wrt state.
+ *
+ * @param station station
+ * @param refstate reference spacecraft state
+ *
+ * @return Jacobian of the delay wrt state
+ */
private double[][] rangeErrorJacobianState(final GroundStation station, final SpacecraftState refstate) {
final double[][] finiteDifferencesJacobian =
Differentiation.differentiate(new StateFunction() {
@@ -119,6 +171,23 @@ public class TurnAroundRangeTroposphericDelayModifier implements EstimationModif
return finiteDifferencesJacobian;
}
+ /** Compute the Jacobian of the delay term wrt state using
+ * automatic differentiation.
+ *
+ * @param derivatives tropospheric delay derivatives
+ * @param freeStateParameters dimension of the state.
+ *
+ * @return Jacobian of the delay wrt state
+ */
+ private double[][] rangeErrorJacobianState(final double[] derivatives, final int freeStateParameters) {
+ final double[][] finiteDifferencesJacobian = new double[1][6];
+ for (int i = 0; i < freeStateParameters; i++) {
+ // First element is the value of the delay
+ finiteDifferencesJacobian[0][i] = derivatives[i + 1];
+ }
+ return finiteDifferencesJacobian;
+ }
+
/** Compute the derivative of the delay term wrt parameters.
*
@@ -145,10 +214,31 @@ public class TurnAroundRangeTroposphericDelayModifier implements EstimationModif
}
+ /** Compute the derivative of the delay term wrt parameters using
+ * automatic differentiation.
+ *
+ * @param derivatives tropospheric delay derivatives
+ * @param freeStateParameters dimension of the state.
+ * @return derivative of the delay wrt tropospheric model parameters
+ */
+ private double[] rangeErrorParameterDerivative(final double[] derivatives, final int freeStateParameters) {
+ // 0 -> value of the delay
+ // 1 ... freeStateParameters -> derivatives of the delay wrt state
+ // freeStateParameters + 1 ... n -> derivatives of the delay wrt tropospheric parameters
+ final int dim = derivatives.length - 1 - freeStateParameters;
+ final double[] rangeError = new double[dim];
+
+ for (int i = 0; i < dim; i++) {
+ rangeError[i] = derivatives[1 + freeStateParameters + i];
+ }
+
+ return rangeError;
+ }
+
/** {@inheritDoc} */
@Override
public List<ParameterDriver> getParametersDrivers() {
- return Collections.emptyList();
+ return tropoModel.getParametersDrivers();
}
/** {@inheritDoc} */
@@ -161,17 +251,26 @@ public class TurnAroundRangeTroposphericDelayModifier implements EstimationModif
final double[] oldValue = estimated.getEstimatedValue();
- // Update estimated value taking into account the tropospheric delay.
- // The tropospheric delay is directly added to the TurnAroundRange.
- final double masterDelay = rangeErrorTroposphericModel(masterStation, state);
- final double slaveDelay = rangeErrorTroposphericModel(slaveStation, state);
- final double[] newValue = oldValue.clone();
- newValue[0] = newValue[0] + masterDelay + slaveDelay;
- estimated.setEstimatedValue(newValue);
-
// Update estimated derivatives with Jacobian of the measure wrt state
- final double[][] masterDjac = rangeErrorJacobianState(masterStation, state);
- final double[][] slaveDjac = rangeErrorJacobianState(slaveStation, state);
+ final TroposphericDSConverter converter = new TroposphericDSConverter(state, 6, Propagator.DEFAULT_LAW);
+ final FieldSpacecraftState<DerivativeStructure> dsState = converter.getState(tropoModel);
+ final DerivativeStructure[] dsParameters = converter.getParameters(dsState, tropoModel);
+ final DerivativeStructure masterDSDelay = rangeErrorTroposphericModel(masterStation, dsState, dsParameters);
+ final DerivativeStructure slaveDSDelay = rangeErrorTroposphericModel(slaveStation, dsState, dsParameters);
+ final double[] masterDerivatives = masterDSDelay.getAllDerivatives();
+ final double[] slaveDerivatives = masterDSDelay.getAllDerivatives();
+
+ double[][] masterDjac = new double[1][6];
+ double[][] slaveDjac = new double[1][6];
+ // This implementation will disappear when the implementations of TroposphericModel
+ // will directly be implementations of DiscreteTroposphericModel
+ if (tropoModel instanceof TroposphericModel) {
+ masterDjac = rangeErrorJacobianState(masterStation, state);
+ slaveDjac = rangeErrorJacobianState(slaveStation, state);
+ } else {
+ masterDjac = rangeErrorJacobianState(masterDerivatives, converter.getFreeStateParameters());
+ slaveDjac = rangeErrorJacobianState(slaveDerivatives, converter.getFreeStateParameters());
+ }
final double[][] stateDerivatives = estimated.getStateDerivatives(0);
for (int irow = 0; irow < stateDerivatives.length; ++irow) {
for (int jcol = 0; jcol < stateDerivatives[0].length; ++jcol) {
@@ -180,6 +279,32 @@ public class TurnAroundRangeTroposphericDelayModifier implements EstimationModif
}
estimated.setStateDerivatives(0, stateDerivatives);
+ int indexMaster = 0;
+ for (final ParameterDriver driver : getParametersDrivers()) {
+ if (driver.isSelected()) {
+ // update estimated derivatives with derivative of the modification wrt tropospheric parameters
+ double parameterDerivative = estimated.getParameterDerivatives(driver)[0];
+ final double[] derivatives = rangeErrorParameterDerivative(masterDerivatives, converter.getFreeStateParameters());
+ parameterDerivative += derivatives[indexMaster];
+ estimated.setParameterDerivatives(driver, parameterDerivative);
+ indexMaster += 1;
+ }
+
+ }
+
+ int indexSlave = 0;
+ for (final ParameterDriver driver : getParametersDrivers()) {
+ if (driver.isSelected()) {
+ // update estimated derivatives with derivative of the modification wrt tropospheric parameters
+ double parameterDerivative = estimated.getParameterDerivatives(driver)[0];
+ final double[] derivatives = rangeErrorParameterDerivative(slaveDerivatives, converter.getFreeStateParameters());
+ parameterDerivative += derivatives[indexSlave];
+ estimated.setParameterDerivatives(driver, parameterDerivative);
+ indexSlave += 1;
+ }
+
+ }
+
// Update derivatives with respect to master station position
for (final ParameterDriver driver : Arrays.asList(masterStation.getClockOffsetDriver(),
masterStation.getEastOffsetDriver(),
@@ -202,6 +327,13 @@ public class TurnAroundRangeTroposphericDelayModifier implements EstimationModif
estimated.setParameterDerivatives(driver, parameterDerivative);
}
}
+
+ // Update estimated value taking into account the tropospheric delay.
+ // The tropospheric delay is directly added to the TurnAroundRange.
+ final double[] newValue = oldValue.clone();
+ newValue[0] = newValue[0] + masterDSDelay.getReal() + slaveDSDelay.getReal();
+ estimated.setEstimatedValue(newValue);
+
}
}
diff --git a/src/main/java/org/orekit/frames/TopocentricFrame.java b/src/main/java/org/orekit/frames/TopocentricFrame.java
index 761855b951509ad3ddc519a312d7f144a995543c..4eb5a3f2ba375901a2912fc4eaae6a2b40ff8f22 100644
--- a/src/main/java/org/orekit/frames/TopocentricFrame.java
+++ b/src/main/java/org/orekit/frames/TopocentricFrame.java
@@ -16,19 +16,25 @@
*/
package org.orekit.frames;
+import org.hipparchus.Field;
+import org.hipparchus.RealFieldElement;
import org.hipparchus.analysis.UnivariateFunction;
import org.hipparchus.analysis.solvers.BracketingNthOrderBrentSolver;
import org.hipparchus.analysis.solvers.UnivariateSolver;
import org.hipparchus.exception.MathRuntimeException;
+import org.hipparchus.geometry.euclidean.threed.FieldVector3D;
import org.hipparchus.geometry.euclidean.threed.Rotation;
import org.hipparchus.geometry.euclidean.threed.Vector3D;
import org.hipparchus.util.FastMath;
import org.hipparchus.util.MathUtils;
import org.orekit.bodies.BodyShape;
+import org.orekit.bodies.FieldGeodeticPoint;
import org.orekit.bodies.GeodeticPoint;
import org.orekit.errors.OrekitException;
import org.orekit.time.AbsoluteDate;
+import org.orekit.time.FieldAbsoluteDate;
import org.orekit.utils.Constants;
+import org.orekit.utils.FieldPVCoordinates;
import org.orekit.utils.PVCoordinates;
import org.orekit.utils.PVCoordinatesProvider;
import org.orekit.utils.TimeStampedPVCoordinates;
@@ -95,6 +101,19 @@ public class TopocentricFrame extends Frame implements PVCoordinatesProvider {
return point;
}
+ /** Get the surface point defining the origin of the frame.
+ * @param <T> tyoe of the elements
+ * @param field of the elements
+ * @return surface point defining the origin of the frame
+ * @since 9.3
+ */
+ public <T extends RealFieldElement<T>> FieldGeodeticPoint<T> getPoint(final Field<T> field) {
+ final T zero = field.getZero();
+ return new FieldGeodeticPoint<>(zero.add(point.getLatitude()),
+ zero.add(point.getLongitude()),
+ zero.add(point.getAltitude()));
+ }
+
/** Get the zenith direction of topocentric frame, expressed in parent shape frame.
* <p>The zenith direction is defined as the normal to local horizontal plane.</p>
* @return unit vector in the zenith direction
@@ -170,6 +189,27 @@ public class TopocentricFrame extends Frame implements PVCoordinatesProvider {
return extPointTopo.getDelta();
}
+ /** Get the elevation of a point with regards to the local point.
+ * <p>The elevation is the angle between the local horizontal and
+ * the direction from local point to given point.</p>
+ * @param <T> type of the elements
+ * @param extPoint point for which elevation shall be computed
+ * @param frame frame in which the point is defined
+ * @param date computation date
+ * @return elevation of the point
+ * @since 9.3
+ */
+ public <T extends RealFieldElement<T>> T getElevation(final FieldVector3D<T> extPoint, final Frame frame,
+ final FieldAbsoluteDate<T> date) {
+
+ // Transform given point from given frame to topocentric frame
+ final FieldTransform<T> t = frame.getTransformTo(this, date);
+ final FieldVector3D<T> extPointTopo = t.transformPosition(extPoint);
+
+ // Elevation angle is PI/2 - angle between zenith and given point direction
+ return extPointTopo.getDelta();
+ }
+
/** Get the azimuth of a point with regards to the topocentric frame center point.
* <p>The azimuth is the angle between the North direction at local point and
* the projection in local horizontal plane of the direction from local point
@@ -195,6 +235,33 @@ public class TopocentricFrame extends Frame implements PVCoordinatesProvider {
}
+ /** Get the azimuth of a point with regards to the topocentric frame center point.
+ * <p>The azimuth is the angle between the North direction at local point and
+ * the projection in local horizontal plane of the direction from local point
+ * to given point. Azimuth angles are counted clockwise, i.e positive towards the East.</p>
+ * @param <T> type of the elements
+ * @param extPoint point for which elevation shall be computed
+ * @param frame frame in which the point is defined
+ * @param date computation date
+ * @return azimuth of the point
+ * @since 9.3
+ */
+ public <T extends RealFieldElement<T>> T getAzimuth(final FieldVector3D<T> extPoint, final Frame frame,
+ final FieldAbsoluteDate<T> date) {
+
+ // Transform given point from given frame to topocentric frame
+ final FieldTransform<T> t = getTransformTo(frame, date).getInverse();
+ final FieldVector3D<T> extPointTopo = t.transformPosition(extPoint);
+
+ // Compute azimuth
+ T azimuth = FastMath.atan2(extPointTopo.getX(), extPointTopo.getY());
+ if (azimuth.getReal() < 0.) {
+ azimuth = azimuth.add(MathUtils.TWO_PI);
+ }
+ return azimuth;
+
+ }
+
/** Get the range of a point with regards to the topocentric frame center point.
* @param extPoint point for which range shall be computed
* @param frame frame in which the point is defined
@@ -213,6 +280,26 @@ public class TopocentricFrame extends Frame implements PVCoordinatesProvider {
}
+ /** Get the range of a point with regards to the topocentric frame center point.
+ * @param <T> type of the elements
+ * @param extPoint point for which range shall be computed
+ * @param frame frame in which the point is defined
+ * @param date computation date
+ * @return range (distance) of the point
+ * @since 9.3
+ */
+ public <T extends RealFieldElement<T>> T getRange(final FieldVector3D<T> extPoint, final Frame frame,
+ final FieldAbsoluteDate<T> date) {
+
+ // Transform given point from given frame to topocentric frame
+ final FieldTransform<T> t = frame.getTransformTo(this, date);
+ final FieldVector3D<T> extPointTopo = t.transformPosition(extPoint);
+
+ // Compute range
+ return extPointTopo.getNorm();
+
+ }
+
/** Get the range rate of a point with regards to the topocentric frame center point.
* @param extPV point/velocity for which range rate shall be computed
* @param frame frame in which the point is defined
@@ -232,6 +319,27 @@ public class TopocentricFrame extends Frame implements PVCoordinatesProvider {
}
+ /** Get the range rate of a point with regards to the topocentric frame center point.
+ * @param <T> type of the elements
+ * @param extPV point/velocity for which range rate shall be computed
+ * @param frame frame in which the point is defined
+ * @param date computation date
+ * @return range rate of the point (positive if point departs from frame)
+ * @since 9.3
+ */
+ public <T extends RealFieldElement<T>> T getRangeRate(final FieldPVCoordinates<T> extPV, final Frame frame,
+ final FieldAbsoluteDate<T> date) {
+
+ // Transform given point from given frame to topocentric frame
+ final FieldTransform<T> t = frame.getTransformTo(this, date);
+ final FieldPVCoordinates<T> extPVTopo = t.transformPVCoordinates(extPV);
+
+ // Compute range rate (doppler) : relative rate along the line of sight
+ return FieldVector3D.dotProduct(extPVTopo.getPosition(), extPVTopo.getVelocity()).divide(
+ extPVTopo.getPosition().getNorm());
+
+ }
+
/**
* Compute the limit visibility point for a satellite in a given direction.
* <p>
diff --git a/src/main/java/org/orekit/models/earth/DiscreteTroposphericModel.java b/src/main/java/org/orekit/models/earth/DiscreteTroposphericModel.java
new file mode 100644
index 0000000000000000000000000000000000000000..de541fd3289c02eaaa11622746bf30d0a185374c
--- /dev/null
+++ b/src/main/java/org/orekit/models/earth/DiscreteTroposphericModel.java
@@ -0,0 +1,91 @@
+/* Copyright 2011-2012 Space Applications Services
+ * Licensed to CS Communication & Systèmes (CS) under one or more
+ * contributor license agreements. See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * CS licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License. You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.orekit.models.earth;
+
+import org.hipparchus.RealFieldElement;
+import org.orekit.time.AbsoluteDate;
+import org.orekit.time.FieldAbsoluteDate;
+
+/** Defines a tropospheric model, used to calculate the path delay imposed to
+ * electro-magnetic signals between an orbital satellite and a ground station.
+ * <p>
+ * Models that implement this interface split the delay into hydrostatic
+ * and non-hydrostatic part:
+ * </p>
+ * <pre>
+ * δ = δ<sub>h</sub> + δ<sub>nh</sub>
+ * </pre>
+ * With:
+ * <ul>
+ * <li> δ<sub>h</sub> = hydrostatic delay </li>
+ * <li> δ<sub>nh</sub> = non-hydrostatic (or wet) delay </li>
+ * </ul>
+ * @author Bryan Cazabonne
+ */
+public interface DiscreteTroposphericModel extends MappingFunction {
+
+ /** Calculates the tropospheric path delay for the signal path from a ground
+ * station to a satellite.
+ *
+ * @param elevation the elevation of the satellite, in radians
+ * @param height the height of the station in m above sea level
+ * @param parameters tropospheric model parameters.
+ * @param date current date
+ * @return the path delay due to the troposphere in m
+ */
+ double pathDelay(double elevation, double height, double[] parameters, AbsoluteDate date);
+
+ /** Calculates the tropospheric path delay for the signal path from a ground
+ * station to a satellite.
+ *
+ * @param <T> type of the elements
+ * @param elevation the elevation of the satellite, in radians
+ * @param height the height of the station in m above sea level
+ * @param parameters tropospheric model parameters.
+ * @param date current date
+ * @return the path delay due to the troposphere in m
+ */
+ <T extends RealFieldElement<T>> T pathDelay(T elevation, T height, T[] parameters, FieldAbsoluteDate<T> date);
+
+ /** This method allows the computation of the zenith hydrostatic and
+ * zenith wet delay. The resulting element is an array having the following form:
+ * <ul>
+ * <li>double[0] = D<sub>hz</sub> -> zenith hydrostatic delay
+ * <li>double[1] = D<sub>wz</sub> -> zenith wet delay
+ * </ul>
+ * @param height the height of the station in m above sea level.
+ * @param parameters tropospheric model parameters.
+ * @param date current date
+ * @return a two components array containing the zenith hydrostatic and wet delays.
+ */
+ double[] computeZenithDelay(double height, double[] parameters, AbsoluteDate date);
+
+ /** This method allows the computation of the zenith hydrostatic and
+ * zenith wet delay. The resulting element is an array having the following form:
+ * <ul>
+ * <li>T[0] = D<sub>hz</sub> -> zenith hydrostatic delay
+ * <li>T[1] = D<sub>wz</sub> -> zenith wet delay
+ * </ul>
+ * @param <T> type of the elements
+ * @param height the height of the station in m above sea level.
+ * @param parameters tropospheric model parameters.
+ * @param date current date
+ * @return a two components array containing the zenith hydrostatic and wet delays.
+ */
+ <T extends RealFieldElement<T>> T[] computeZenithDelay(T height, T[] parameters, FieldAbsoluteDate<T> date);
+
+}
diff --git a/src/main/java/org/orekit/models/earth/EstimatedTroposphericModel.java b/src/main/java/org/orekit/models/earth/EstimatedTroposphericModel.java
new file mode 100644
index 0000000000000000000000000000000000000000..6860d35937842fc017b2fa15c95a8683845cd2f4
--- /dev/null
+++ b/src/main/java/org/orekit/models/earth/EstimatedTroposphericModel.java
@@ -0,0 +1,209 @@
+/* Copyright 2002-2019 CS Systèmes d'Information
+ * Licensed to CS Systèmes d'Information (CS) under one or more
+ * contributor license agreements. See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * CS licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License. You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.orekit.models.earth;
+
+import java.util.Collections;
+import java.util.List;
+
+import org.hipparchus.Field;
+import org.hipparchus.RealFieldElement;
+import org.hipparchus.util.FastMath;
+import org.hipparchus.util.MathArrays;
+import org.orekit.time.AbsoluteDate;
+import org.orekit.time.FieldAbsoluteDate;
+import org.orekit.utils.ParameterDriver;
+
+/** An estimated tropospheric model. The tropospheric delay is computed according to the formula:
+ * <pre>
+ * δ = δ<sub>h</sub> * m<sub>h</sub> + (δ<sub>t</sub> - δ<sub>h</sub>) * m<sub>w</sub>
+ * </pre>
+ * With:
+ * <ul>
+ * <li>δ<sub>h</sub>: Tropospheric zenith hydro-static delay.</li>
+ * <li>δ<sub>t</sub>: Tropospheric total zenith delay.</li>
+ * <li>m<sub>h</sub>: Hydro-static mapping function.</li>
+ * <li>m<sub>w</sub>: Wet mapping function.</li>
+ * </ul>
+ * <p>
+ * The mapping functions m<sub>h</sub>(e) and m<sub>w</sub>(e) are
+ * computed thanks to a {@link #model} initialized by the user.
+ * The user has the possiblility to use several mapping function models for the computations:
+ * the {@link GlobalMappingFunctionModel Global Mapping Function}, or
+ * the {@link NiellMappingFunctionModel Niell Mapping Function}
+ * </p> <p>
+ * The tropospheric zenith delay δ<sub>h</sub> is computed empirically with a {@link SaastamoinenModel}
+ * while the tropospheric total zenith delay δ<sub>t</sub> is estimated as a {@link ParameterDriver}
+ */
+public class EstimatedTroposphericModel implements DiscreteTroposphericModel {
+
+ /** Name of the parameter of this model: the total zenith delay. */
+ public static final String TOTAL_ZENITH_DELAY = "total zenith delay";
+
+ /** Serializable UID. */
+ private static final long serialVersionUID = 3550108249909528948L;
+
+ /** Mapping Function model. */
+ private final MappingFunction model;
+
+ /** Driver for the tropospheric zenith total delay.*/
+ private final ParameterDriver totalZenithDelay;
+
+ /** The temperature at the station [K]. */
+ private double t0;
+
+ /** The atmospheric pressure [mbar]. */
+ private double p0;
+
+ /** Build a new instance using the given environmental conditions.
+ * @param t0 the temperature at the station [K]
+ * @param p0 the atmospheric pressure at the station [mbar]
+ * @param model mapping function model (NMF or GMF).
+ * @param totalDelay initial value for the tropospheric zenith total delay [m]
+ */
+ public EstimatedTroposphericModel(final double t0, final double p0,
+ final MappingFunction model, final double totalDelay) {
+
+ totalZenithDelay = new ParameterDriver(EstimatedTroposphericModel.TOTAL_ZENITH_DELAY,
+ totalDelay, FastMath.scalb(1.0, 0), 0.0, Double.POSITIVE_INFINITY);
+
+ this.t0 = t0;
+ this.p0 = p0;
+ this.model = model;
+ }
+
+ /** Build a new instance using a standard atmosphere model.
+ * <ul>
+ * <li>temperature: 18 degree Celsius
+ * <li>pressure: 1013.25 mbar
+ * </ul>
+ * @param model mapping function model (NMF or GMF).
+ * @param totalDelay initial value for the tropospheric zenith total delay [m]
+ */
+ public EstimatedTroposphericModel(final MappingFunction model, final double totalDelay) {
+ this(273.15 + 18.0, 1013.25, model, totalDelay);
+ }
+
+ @Override
+ public double[] mappingFactors(final double elevation, final double height,
+ final double[] parameters, final AbsoluteDate date) {
+ return model.mappingFactors(elevation, height, parameters, date);
+ }
+
+ @Override
+ public <T extends RealFieldElement<T>> T[] mappingFactors(final T elevation, final T height,
+ final T[] parameters, final FieldAbsoluteDate<T> date) {
+ return model.mappingFactors(elevation, height, parameters, date);
+ }
+
+ @Override
+ public List<ParameterDriver> getParametersDrivers() {
+ return Collections.singletonList(totalZenithDelay);
+ }
+
+ @Override
+ public double pathDelay(final double elevation, final double height,
+ final double[] parameters, final AbsoluteDate date) {
+
+ // Mapping functions
+ final double[] mf = mappingFactors(elevation, height, parameters, date);
+ // Zenith delays
+ final double[] delays = computeZenithDelay(height, parameters, date);
+ // Total delay
+ return mf[0] * delays[0] + mf[1] * (delays[1] - delays[0]);
+ }
+
+ @Override
+ public <T extends RealFieldElement<T>> T pathDelay(final T elevation, final T height,
+ final T[] parameters, final FieldAbsoluteDate<T> date) {
+
+ // Mapping functions
+ final T[] mf = mappingFactors(elevation, height, parameters, date);
+ // Zenith delays
+ final T[] delays = computeZenithDelay(height, parameters, date);
+ // Total delay
+ return mf[0].multiply(delays[0]).add(mf[1].multiply(delays[1].subtract(delays[0])));
+ }
+
+ /** This method allows the computation of the zenith hydrostatic and zenith total delays.
+ * The resulting element is an array having the following form:
+ * <ul>
+ * <li>double[0] = D<sub>hz</sub> -> zenith hydrostatic delay
+ * <li>double[1] = D<sub>tz</sub> -> zenith total delay
+ * </ul>
+ * <p>
+ * The user have to be careful because the others tropospheric models in Orekit
+ * compute the zenith wet delay instead of the total zenith delay.
+ * </p>
+ * @param height the height of the station in m above sea level.
+ * @param parameters tropospheric model parameters.
+ * @param date current date
+ * @return a two components array containing the zenith hydrostatic and wet delays.
+ */
+ public double[] computeZenithDelay(final double height, final double[] parameters,
+ final AbsoluteDate date) {
+
+ // Use an empirical model for tropospheric zenith hydro-static delay : Saastamoinen model
+ final SaastamoinenModel saastamoinen = new SaastamoinenModel(t0, p0, 0.0, (String) null);
+
+ // elevation = pi/2 because we compute the delay in the zenith direction
+ final double zhd = saastamoinen.pathDelay(0.5 * FastMath.PI, height, parameters, date);
+ final double ztd = parameters[0];
+
+ return new double[] {
+ zhd,
+ ztd
+ };
+ }
+
+ /** This method allows the computation of the zenith hydrostatic and zenith total delays.
+ * The resulting element is an array having the following form:
+ * <ul>
+ * <li>double[0] = D<sub>hz</sub> -> zenith hydrostatic delay
+ * <li>double[1] = D<sub>tz</sub> -> zenith total delay
+ * </ul>
+ * <p>
+ * The user have to be careful because the others tropospheric models in Orekit
+ * compute the zenith wet delay instead of the total zenith delay.
+ * </p>
+ * @param <T> type of the elements
+ * @param height the height of the station in m above sea level.
+ * @param parameters tropospheric model parameters.
+ * @param date current date
+ * @return a two components array containing the zenith hydrostatic and wet delays.
+ */
+ public <T extends RealFieldElement<T>> T[] computeZenithDelay(final T height, final T[] parameters,
+ final FieldAbsoluteDate<T> date) {
+
+ // Field
+ final Field<T> field = date.getField();
+ final T zero = field.getZero();
+
+ // Use an empirical model for tropospheric zenith hydro-static delay : Saastamoinen model
+ final SaastamoinenModel saastamoinen = new SaastamoinenModel(t0, p0, 0.0, (String) null);
+
+ // elevation = pi/2 because we compute the delay in the zenith direction
+ final T zhd = saastamoinen.pathDelay(zero.add(0.5 * FastMath.PI), height, parameters, date);
+ final T ztd = parameters[0];
+
+ final T[] delays = MathArrays.buildArray(field, 2);
+ delays[0] = zhd;
+ delays[1] = ztd;
+
+ return delays;
+ }
+
+}
diff --git a/src/main/java/org/orekit/models/earth/GlobalMappingFunctionModel.java b/src/main/java/org/orekit/models/earth/GlobalMappingFunctionModel.java
new file mode 100644
index 0000000000000000000000000000000000000000..a9dac273e3e4966bcc349bdeb3b9de9f2e9cf32a
--- /dev/null
+++ b/src/main/java/org/orekit/models/earth/GlobalMappingFunctionModel.java
@@ -0,0 +1,945 @@
+/* Copyright 2002-2019 CS Systèmes d'Information
+ * Licensed to CS Systèmes d'Information (CS) under one or more
+ * contributor license agreements. See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * CS licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License. You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.orekit.models.earth;
+
+import java.util.Collections;
+import java.util.List;
+
+import org.hipparchus.Field;
+import org.hipparchus.RealFieldElement;
+import org.hipparchus.util.CombinatoricsUtils;
+import org.hipparchus.util.FastMath;
+import org.hipparchus.util.MathArrays;
+import org.orekit.time.AbsoluteDate;
+import org.orekit.time.DateTimeComponents;
+import org.orekit.time.FieldAbsoluteDate;
+import org.orekit.time.TimeScalesFactory;
+import org.orekit.utils.ParameterDriver;
+
+/** The Global Mapping Function model for radio techniques.
+ * This model is an empirical mapping function. It only needs the
+ * values of the station latitude, longitude, height and the
+ * date for the computations.
+ * <p>
+ * The Global Mapping Function is based on spherical harmonics up
+ * to degree and order of 9. It was developed to be consistent
+ * with the {@link ViennaOneModel Vienna1} mapping function model.
+ * </p>
+ *
+ * @see Boehm, J., A.E. Niell, P. Tregoning, H. Schuh (2006),
+ * Global Mapping Functions (GMF): A new empirical mapping function based
+ * on numerical weather model data, Geoph. Res. Letters, Vol. 33, L07304,
+ * doi:10.1029/2005GL025545.
+ *
+ * @see <p>Petit, G. and Luzum, B. (eds.), IERS Conventions (2010),
+ * IERS Technical Note No. 36, BKG (2010)</p>
+ *
+ * @author Bryan Cazabonne
+ *
+ */
+public class GlobalMappingFunctionModel implements MappingFunction {
+
+ /** Serializable UID. */
+ private static final long serialVersionUID = -9007141744989481150L;
+
+ /** Geodetic site latitude, radians.*/
+ private final double latitude;
+
+ /** Geodetic site longitude, radians.*/
+ private final double longitude;
+
+ /** Build a new instance.
+ * @param latitude geodetic latitude of the station, in radians
+ * @param longitude geodetic latitude of the station, in radians
+ */
+ public GlobalMappingFunctionModel(final double latitude, final double longitude) {
+ this.latitude = latitude;
+ this.longitude = longitude;
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public double[] mappingFactors(final double elevation, final double height,
+ final double[] parameters, final AbsoluteDate date) {
+ // Day of year computation
+ final DateTimeComponents dtc = date.getComponents(TimeScalesFactory.getUTC());
+ final int dofyear = dtc.getDate().getDayOfYear();
+
+ // bh and ch constants (Boehm, J et al, 2006) | HYDROSTATIC PART
+ final double bh = 0.0029;
+ final double c0h = 0.062;
+ final double c10h;
+ final double c11h;
+ final double psi;
+
+ if (FastMath.sin(latitude) > 0) {
+ // northern hemisphere case
+ c10h = 0.001;
+ c11h = 0.005;
+ psi = 0.0;
+ } else {
+ // southern hemisphere case
+ c10h = 0.002;
+ c11h = 0.007;
+ psi = FastMath.PI;
+ }
+
+ double t0 = 28;
+ if (latitude < 0) {
+ // southern hemisphere: t0 = 28 + an integer half of year
+ t0 += 183;
+ }
+ final double coef = ((dofyear + 1 - t0) / 365.25) * 2 * FastMath.PI + psi;
+ final double ch = c0h + ((FastMath.cos(coef) + 1) * (c11h / 2.0) + c10h) * (1.0 - FastMath.cos(latitude));
+
+ // bw and cw constants (Boehm, J et al, 2006) | WET PART
+ final double bw = 0.00146;
+ final double cw = 0.04391;
+
+ // Compute coefficients ah and aw with spherical harmonics Eq. 3 (Ref 1)
+
+ // Compute Legendre Polynomials Pnm(sin(phi))
+ final int degree = 9;
+ final int order = 9;
+ final LegendrePolynomials p = new LegendrePolynomials(degree, order);
+
+ double a0Hydro = 0.;
+ double amplHydro = 0.;
+ double a0Wet = 0.;
+ double amplWet = 0.;
+ final ABCoefficients abCoef = new ABCoefficients();
+ int j = 0;
+ for (int n = 0; n <= 9; n++) {
+ for (int m = 0; m <= n; m++) {
+ a0Hydro = a0Hydro + (abCoef.getAHMean(j) * p.getPnm(n, m) * FastMath.cos(m * longitude) +
+ abCoef.getBHMean(j) * p.getPnm(n, m) * FastMath.sin(m * longitude)) * 1e-5;
+
+ a0Wet = a0Wet + (abCoef.getAWMean(j) * p.getPnm(n, m) * FastMath.cos(m * longitude) +
+ abCoef.getBWMean(j) * p.getPnm(n, m) * FastMath.sin(m * longitude)) * 1e-5;
+
+ amplHydro = amplHydro + (abCoef.getAHAmplitude(j) * p.getPnm(n, m) * FastMath.cos(m * longitude) +
+ abCoef.getBHAmplitude(j) * p.getPnm(n, m) * FastMath.sin(m * longitude)) * 1e-5;
+
+ amplWet = amplWet + (abCoef.getAWAmplitude(j) * p.getPnm(n, m) * FastMath.cos(m * longitude) +
+ abCoef.getBWAmplitude(j) * p.getPnm(n, m) * FastMath.sin(m * longitude)) * 1e-5;
+
+ j = j + 1;
+ }
+ }
+
+ // Eq. 2 (Ref 1)
+ final double ah = a0Hydro + amplHydro * FastMath.cos(coef - psi);
+ final double aw = a0Wet + amplWet * FastMath.cos(coef - psi);
+
+ final double[] function = new double[2];
+ function[0] = computeFunction(ah, bh, ch, elevation);
+ function[1] = computeFunction(aw, bw, cw, elevation);
+
+ // Apply height correction
+ final double correction = computeHeightCorrection(elevation, height);
+ function[0] = function[0] + correction;
+
+ return function;
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public <T extends RealFieldElement<T>> T[] mappingFactors(final T elevation, final T height,
+ final T[] parameters, final FieldAbsoluteDate<T> date) {
+ // Day of year computation
+ final DateTimeComponents dtc = date.getComponents(TimeScalesFactory.getUTC());
+ final int dofyear = dtc.getDate().getDayOfYear();
+
+ final Field<T> field = date.getField();
+ final T zero = field.getZero();
+
+ // bh and ch constants (Boehm, J et al, 2006) | HYDROSTATIC PART
+ final T bh = zero.add(0.0029);
+ final T c0h = zero.add(0.062);
+ final T c10h;
+ final T c11h;
+ final T psi;
+
+ // sin(latitude) > 0 -> northern hemisphere
+ if (FastMath.sin(latitude) > 0) {
+ c10h = zero.add(0.001);
+ c11h = zero.add(0.005);
+ psi = zero;
+ } else {
+ c10h = zero.add(0.002);
+ c11h = zero.add(0.007);
+ psi = zero.add(FastMath.PI);
+ }
+
+ double t0 = 28;
+ if (latitude < 0) {
+ // southern hemisphere: t0 = 28 + an integer half of year
+ t0 += 183;
+ }
+ final T coef = psi.add(((dofyear + 1 - t0) / 365.25) * 2 * FastMath.PI);
+ final T ch = c11h.divide(2.0).multiply(FastMath.cos(coef).add(1.0)).add(c10h).multiply(1 - FastMath.cos(latitude)).add(c0h);
+
+ // bw and cw constants (Boehm, J et al, 2006) | WET PART
+ final T bw = zero.add(0.00146);
+ final T cw = zero.add(0.04391);
+
+ // Compute coefficients ah and aw with spherical harmonics Eq. 3 (Ref 1)
+
+ // Compute Legendre Polynomials Pnm(sin(phi))
+ final int degree = 9;
+ final int order = 9;
+ final LegendrePolynomials p = new LegendrePolynomials(degree, order);
+
+ T a0Hydro = zero;
+ T amplHydro = zero;
+ T a0Wet = zero;
+ T amplWet = zero;
+ final ABCoefficients abCoef = new ABCoefficients();
+ int j = 0;
+ for (int n = 0; n <= 9; n++) {
+ for (int m = 0; m <= n; m++) {
+ a0Hydro = a0Hydro.add((abCoef.getAHMean(j) * p.getPnm(n, m) * FastMath.cos(m * longitude) +
+ abCoef.getBHMean(j) * p.getPnm(n, m) * FastMath.sin(m * longitude)) * 1e-5);
+
+ a0Wet = a0Wet.add((abCoef.getAWMean(j) * p.getPnm(n, m) * FastMath.cos(m * longitude) +
+ abCoef.getBWMean(j) * p.getPnm(n, m) * FastMath.sin(m * longitude)) * 1e-5);
+
+ amplHydro = amplHydro.add((abCoef.getAHAmplitude(j) * p.getPnm(n, m) * FastMath.cos(m * longitude) +
+ abCoef.getBHAmplitude(j) * p.getPnm(n, m) * FastMath.sin(m * longitude)) * 1e-5);
+
+ amplWet = amplWet.add((abCoef.getAWAmplitude(j) * p.getPnm(n, m) * FastMath.cos(m * longitude) +
+ abCoef.getBWAmplitude(j) * p.getPnm(n, m) * FastMath.sin(m * longitude)) * 1e-5);
+
+ j = j + 1;
+ }
+ }
+
+ // Eq. 2 (Ref 1)
+ final T ah = a0Hydro.add(amplHydro.multiply(FastMath.cos(coef.subtract(psi))));
+ final T aw = a0Wet.add(amplWet.multiply(FastMath.cos(coef.subtract(psi))));
+
+ final T[] function = MathArrays.buildArray(field, 2);
+ function[0] = computeFunction(ah, bh, ch, elevation);
+ function[1] = computeFunction(aw, bw, cw, elevation);
+
+ // Apply height correction
+ final T correction = computeHeightCorrection(elevation, height, field);
+ function[0] = function[0].add(correction);
+
+ return function;
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public List<ParameterDriver> getParametersDrivers() {
+ return Collections.emptyList();
+ }
+
+ /** Compute the mapping function related to the coefficient values and the elevation.
+ * @param a a coefficient
+ * @param b b coefficient
+ * @param c c coefficient
+ * @param elevation the elevation of the satellite, in radians.
+ * @return the value of the function at a given elevation
+ */
+ private double computeFunction(final double a, final double b, final double c, final double elevation) {
+ final double sinE = FastMath.sin(elevation);
+ // Numerator
+ final double numMP = 1 + a / (1 + b / (1 + c));
+ // Denominator
+ final double denMP = sinE + a / (sinE + b / (sinE + c));
+
+ final double fElevation = numMP / denMP;
+
+ return fElevation;
+ }
+
+ /** Compute the mapping function related to the coefficient values and the elevation.
+ * @param <T> type of the elements
+ * @param a a coefficient
+ * @param b b coefficient
+ * @param c c coefficient
+ * @param elevation the elevation of the satellite, in radians.
+ * @return the value of the function at a given elevation
+ */
+ private <T extends RealFieldElement<T>> T computeFunction(final T a, final T b, final T c, final T elevation) {
+ final T sinE = FastMath.sin(elevation);
+ // Numerator
+ final T numMP = a.divide(b.divide(c.add(1.0)).add(1.0)).add(1.0);
+ // Denominator
+ final T denMP = a.divide(b.divide(c.add(sinE)).add(sinE)).add(sinE);
+
+ final T fElevation = numMP.divide(denMP);
+
+ return fElevation;
+ }
+
+ /** This method computes the height correction for the hydrostatic
+ * component of the mapping function.
+ * The formulas are given by Neill's paper, 1996:
+ *<p>
+ * Niell A. E. (1996)
+ * "Global mapping functions for the atmosphere delay of radio wavelengths,”
+ * J. Geophys. Res., 101(B2), pp. 3227–3246, doi: 10.1029/95JB03048.
+ *</p>
+ * @param elevation the elevation of the satellite, in radians.
+ * @param height the height of the station in m above sea level.
+ * @return the height correction, in m
+ */
+ private double computeHeightCorrection(final double elevation, final double height) {
+ final double fixedHeight = FastMath.max(0.0, height);
+ final double sinE = FastMath.sin(elevation);
+ // Ref: Eq. 4
+ final double function = computeFunction(2.53e-5, 5.49e-3, 1.14e-3, elevation);
+ // Ref: Eq. 6
+ final double dmdh = (1 / sinE) - function;
+ // Ref: Eq. 7
+ final double correction = dmdh * (fixedHeight / 1000.0);
+ return correction;
+ }
+
+ /** This method computes the height correction for the hydrostatic
+ * component of the mapping function.
+ * The formulas are given by Neill's paper, 1996:
+ *<p>
+ * Niell A. E. (1996)
+ * "Global mapping functions for the atmosphere delay of radio wavelengths,”
+ * J. Geophys. Res., 101(B2), pp. 3227–3246, doi: 10.1029/95JB03048.
+ *</p>
+ * @param <T> type of the elements
+ * @param elevation the elevation of the satellite, in radians.
+ * @param height the height of the station in m above sea level.
+ * @param field field to which the elements belong
+ * @return the height correction, in m
+ */
+ private <T extends RealFieldElement<T>> T computeHeightCorrection(final T elevation, final T height, final Field<T> field) {
+ final T zero = field.getZero();
+ final T fixedHeight = FastMath.max(zero, height);
+ final T sinE = FastMath.sin(elevation);
+ // Ref: Eq. 4
+ final T function = computeFunction(zero.add(2.53e-5), zero.add(5.49e-3), zero.add(1.14e-3), elevation);
+ // Ref: Eq. 6
+ final T dmdh = sinE.reciprocal().subtract(function);
+ // Ref: Eq. 7
+ final T correction = dmdh.multiply(fixedHeight.divide(1000.0));
+ return correction;
+ }
+
+ /** Computes the P<sub>nm</sub>(sin(Φ)) coefficients of Eq. 3 (Boehm et al, 2006).
+ * The computation of the Legendre polynomials is performed following:
+ * Heiskanen and Moritz, Physical Geodesy, 1967, eq. 1-62
+ * <p>
+ * This computation is the one used by the IERS 2010 Conventions.
+ * Petit, G. and Luzum, B. (eds.), IERS Conventions (2010),
+ * IERS Technical Note No. 36, BKG (2010)
+ * </p>
+ */
+ private class LegendrePolynomials {
+
+ /** Array for the Legendre polynomials. */
+ private double[][] pCoef;
+
+ /** Create Legendre polynomials for the given degree and order.
+ * @param degree degree of the spherical harmonics
+ * @param order order of the spherical harmonics
+ */
+ LegendrePolynomials(final int degree, final int order) {
+
+ this.pCoef = new double[degree + 1][order + 1];
+
+ final double t = FastMath.sin(latitude);
+ final double t2 = t * t;
+
+ for (int n = 0; n <= degree; n++) {
+
+ // m shall be <= n (Heiskanen and Moritz, 1967, pp 21)
+ for (int m = 0; m <= FastMath.min(n, order); m++) {
+
+ // r = int((n - m) / 2)
+ final int r = (int) (n - m) / 2;
+ double sum = 0.;
+ for (int k = 0; k <= r; k++) {
+ final double term = FastMath.pow(-1.0, k) * CombinatoricsUtils.factorialDouble(2 * n - 2 * k) /
+ (CombinatoricsUtils.factorialDouble(k) * CombinatoricsUtils.factorialDouble(n - k) *
+ CombinatoricsUtils.factorialDouble(n - m - 2 * k)) *
+ FastMath.pow(t, n - m - 2 * k);
+ sum = sum + term;
+ }
+
+ pCoef[n][m] = FastMath.pow(2, -n) * FastMath.pow(1.0 - t2, 0.5 * m) * sum;
+
+ }
+
+ }
+
+ }
+
+ /** Return the coefficient P<sub>nm</sub>.
+ * @param n index
+ * @param m index
+ * @return The coefficient P<sub>nm</sub>
+ */
+ public double getPnm(final int n, final int m) {
+ return pCoef[n][m];
+ }
+
+ }
+
+ private static class ABCoefficients {
+
+ /** Mean hydrostatic coefficients a.*/
+ private static final double[] AH_MEAN = {
+ 1.2517e02,
+ 8.503e-01,
+ 6.936e-02,
+ -6.760e+00,
+ 1.771e-01,
+ 1.130e-02,
+ 5.963e-01,
+ 1.808e-02,
+ 2.801e-03,
+ -1.414e-03,
+ -1.212e+00,
+ 9.300e-02,
+ 3.683e-03,
+ 1.095e-03,
+ 4.671e-05,
+ 3.959e-01,
+ -3.867e-02,
+ 5.413e-03,
+ -5.289e-04,
+ 3.229e-04,
+ 2.067e-05,
+ 3.000e-01,
+ 2.031e-02,
+ 5.900e-03,
+ 4.573e-04,
+ -7.619e-05,
+ 2.327e-06,
+ 3.845e-06,
+ 1.182e-01,
+ 1.158e-02,
+ 5.445e-03,
+ 6.219e-05,
+ 4.204e-06,
+ -2.093e-06,
+ 1.540e-07,
+ -4.280e-08,
+ -4.751e-01,
+ -3.490e-02,
+ 1.758e-03,
+ 4.019e-04,
+ -2.799e-06,
+ -1.287e-06,
+ 5.468e-07,
+ 7.580e-08,
+ -6.300e-09,
+ -1.160e-01,
+ 8.301e-03,
+ 8.771e-04,
+ 9.955e-05,
+ -1.718e-06,
+ -2.012e-06,
+ 1.170e-08,
+ 1.790e-08,
+ -1.300e-09,
+ 1.000e-10
+ };
+
+ /** Mean hydrostatic coefficients b.*/
+ private static final double[] BH_MEAN = {
+ 0.000e+00,
+ 0.000e+00,
+ 3.249e-02,
+ 0.000e+00,
+ 3.324e-02,
+ 1.850e-02,
+ 0.000e+00,
+ -1.115e-01,
+ 2.519e-02,
+ 4.923e-03,
+ 0.000e+00,
+ 2.737e-02,
+ 1.595e-02,
+ -7.332e-04,
+ 1.933e-04,
+ 0.000e+00,
+ -4.796e-02,
+ 6.381e-03,
+ -1.599e-04,
+ -3.685e-04,
+ 1.815e-05,
+ 0.000e+00,
+ 7.033e-02,
+ 2.426e-03,
+ -1.111e-03,
+ -1.357e-04,
+ -7.828e-06,
+ 2.547e-06,
+ 0.000e+00,
+ 5.779e-03,
+ 3.133e-03,
+ -5.312e-04,
+ -2.028e-05,
+ 2.323e-07,
+ -9.100e-08,
+ -1.650e-08,
+ 0.000e+00,
+ 3.688e-02,
+ -8.638e-04,
+ -8.514e-05,
+ -2.828e-05,
+ 5.403e-07,
+ 4.390e-07,
+ 1.350e-08,
+ 1.800e-09,
+ 0.000e+00,
+ -2.736e-02,
+ -2.977e-04,
+ 8.113e-05,
+ 2.329e-07,
+ 8.451e-07,
+ 4.490e-08,
+ -8.100e-09,
+ -1.500e-09,
+ 2.000e-10
+ };
+
+ /** Amplitude for hydrostatic coefficients a.*/
+ private static final double[] AH_AMPL = {
+ -2.738e-01,
+ -2.837e+00,
+ 1.298e-02,
+ -3.588e-01,
+ 2.413e-02,
+ 3.427e-02,
+ -7.624e-01,
+ 7.272e-02,
+ 2.160e-02,
+ -3.385e-03,
+ 4.424e-01,
+ 3.722e-02,
+ 2.195e-02,
+ -1.503e-03,
+ 2.426e-04,
+ 3.013e-01,
+ 5.762e-02,
+ 1.019e-02,
+ -4.476e-04,
+ 6.790e-05,
+ 3.227e-05,
+ 3.123e-01,
+ -3.535e-02,
+ 4.840e-03,
+ 3.025e-06,
+ -4.363e-05,
+ 2.854e-07,
+ -1.286e-06,
+ -6.725e-01,
+ -3.730e-02,
+ 8.964e-04,
+ 1.399e-04,
+ -3.990e-06,
+ 7.431e-06,
+ -2.796e-07,
+ -1.601e-07,
+ 4.068e-02,
+ -1.352e-02,
+ 7.282e-04,
+ 9.594e-05,
+ 2.070e-06,
+ -9.620e-08,
+ -2.742e-07,
+ -6.370e-08,
+ -6.300e-09,
+ 8.625e-02,
+ -5.971e-03,
+ 4.705e-04,
+ 2.335e-05,
+ 4.226e-06,
+ 2.475e-07,
+ -8.850e-08,
+ -3.600e-08,
+ -2.900e-09,
+ 0.000e+00
+ };
+
+ /** Amplitude for hydrostatic coefficients b.*/
+ private static final double[] BH_AMPL = {
+ 0.000e+00,
+ 0.000e+00,
+ -1.136e-01,
+ 0.000e+00,
+ -1.868e-01,
+ -1.399e-02,
+ 0.000e+00,
+ -1.043e-01,
+ 1.175e-02,
+ -2.240e-03,
+ 0.000e+00,
+ -3.222e-02,
+ 1.333e-02,
+ -2.647e-03,
+ -2.316e-05,
+ 0.000e+00,
+ 5.339e-02,
+ 1.107e-02,
+ -3.116e-03,
+ -1.079e-04,
+ -1.299e-05,
+ 0.000e+00,
+ 4.861e-03,
+ 8.891e-03,
+ -6.448e-04,
+ -1.279e-05,
+ 6.358e-06,
+ -1.417e-07,
+ 0.000e+00,
+ 3.041e-02,
+ 1.150e-03,
+ -8.743e-04,
+ -2.781e-05,
+ 6.367e-07,
+ -1.140e-08,
+ -4.200e-08,
+ 0.000e+00,
+ -2.982e-02,
+ -3.000e-03,
+ 1.394e-05,
+ -3.290e-05,
+ -1.705e-07,
+ 7.440e-08,
+ 2.720e-08,
+ -6.600e-09,
+ 0.000e+00,
+ 1.236e-02,
+ -9.981e-04,
+ -3.792e-05,
+ -1.355e-05,
+ 1.162e-06,
+ -1.789e-07,
+ 1.470e-08,
+ -2.400e-09,
+ -4.000e-10
+ };
+
+ /** Mean wet coefficients a.*/
+ private static final double[] AW_MEAN = {
+ 5.640e+01,
+ 1.555e+00,
+ -1.011e+00,
+ -3.975e+00,
+ 3.171e-02,
+ 1.065e-01,
+ 6.175e-01,
+ 1.376e-01,
+ 4.229e-02,
+ 3.028e-03,
+ 1.688e+00,
+ -1.692e-01,
+ 5.478e-02,
+ 2.473e-02,
+ 6.059e-04,
+ 2.278e+00,
+ 6.614e-03,
+ -3.505e-04,
+ -6.697e-03,
+ 8.402e-04,
+ 7.033e-04,
+ -3.236e+00,
+ 2.184e-01,
+ -4.611e-02,
+ -1.613e-02,
+ -1.604e-03,
+ 5.420e-05,
+ 7.922e-05,
+ -2.711e-01,
+ -4.406e-01,
+ -3.376e-02,
+ -2.801e-03,
+ -4.090e-04,
+ -2.056e-05,
+ 6.894e-06,
+ 2.317e-06,
+ 1.941e+00,
+ -2.562e-01,
+ 1.598e-02,
+ 5.449e-03,
+ 3.544e-04,
+ 1.148e-05,
+ 7.503e-06,
+ -5.667e-07,
+ -3.660e-08,
+ 8.683e-01,
+ -5.931e-02,
+ -1.864e-03,
+ -1.277e-04,
+ 2.029e-04,
+ 1.269e-05,
+ 1.629e-06,
+ 9.660e-08,
+ -1.015e-07,
+ -5.000e-10
+ };
+
+ /** Mean wet coefficients b.*/
+ private static final double[] BW_MEAN = {
+ 0.000e+00,
+ 0.000e+00,
+ 2.592e-01,
+ 0.000e+00,
+ 2.974e-02,
+ -5.471e-01,
+ 0.000e+00,
+ -5.926e-01,
+ -1.030e-01,
+ -1.567e-02,
+ 0.000e+00,
+ 1.710e-01,
+ 9.025e-02,
+ 2.689e-02,
+ 2.243e-03,
+ 0.000e+00,
+ 3.439e-01,
+ 2.402e-02,
+ 5.410e-03,
+ 1.601e-03,
+ 9.669e-05,
+ 0.000e+00,
+ 9.502e-02,
+ -3.063e-02,
+ -1.055e-03,
+ -1.067e-04,
+ -1.130e-04,
+ 2.124e-05,
+ 0.000e+00,
+ -3.129e-01,
+ 8.463e-03,
+ 2.253e-04,
+ 7.413e-05,
+ -9.376e-05,
+ -1.606e-06,
+ 2.060e-06,
+ 0.000e+00,
+ 2.739e-01,
+ 1.167e-03,
+ -2.246e-05,
+ -1.287e-04,
+ -2.438e-05,
+ -7.561e-07,
+ 1.158e-06,
+ 4.950e-08,
+ 0.000e+00,
+ -1.344e-01,
+ 5.342e-03,
+ 3.775e-04,
+ -6.756e-05,
+ -1.686e-06,
+ -1.184e-06,
+ 2.768e-07,
+ 2.730e-08,
+ 5.700e-09
+ };
+
+ /** Amplitude for wet coefficients a.*/
+ private static final double[] AW_AMPL = {
+ 1.023e-01,
+ -2.695e+00,
+ 3.417e-01,
+ -1.405e-01,
+ 3.175e-01,
+ 2.116e-01,
+ 3.536e+00,
+ -1.505e-01,
+ -1.660e-02,
+ 2.967e-02,
+ 3.819e-01,
+ -1.695e-01,
+ -7.444e-02,
+ 7.409e-03,
+ -6.262e-03,
+ -1.836e+00,
+ -1.759e-02,
+ -6.256e-02,
+ -2.371e-03,
+ 7.947e-04,
+ 1.501e-04,
+ -8.603e-01,
+ -1.360e-01,
+ -3.629e-02,
+ -3.706e-03,
+ -2.976e-04,
+ 1.857e-05,
+ 3.021e-05,
+ 2.248e+00,
+ -1.178e-01,
+ 1.255e-02,
+ 1.134e-03,
+ -2.161e-04,
+ -5.817e-06,
+ 8.836e-07,
+ -1.769e-07,
+ 7.313e-01,
+ -1.188e-01,
+ 1.145e-02,
+ 1.011e-03,
+ 1.083e-04,
+ 2.570e-06,
+ -2.140e-06,
+ -5.710e-08,
+ 2.000e-08,
+ -1.632e+00,
+ -6.948e-03,
+ -3.893e-03,
+ 8.592e-04,
+ 7.577e-05,
+ 4.539e-06,
+ -3.852e-07,
+ -2.213e-07,
+ -1.370e-08,
+ 5.800e-09
+ };
+
+ /** Amplitude for wet coefficients b.*/
+ private static final double[] BW_AMPL = {
+ 0.000e+00,
+ 0.000e+00,
+ -8.865e-02,
+ 0.000e+00,
+ -4.309e-01,
+ 6.340e-02,
+ 0.000e+00,
+ 1.162e-01,
+ 6.176e-02,
+ -4.234e-03,
+ 0.000e+00,
+ 2.530e-01,
+ 4.017e-02,
+ -6.204e-03,
+ 4.977e-03,
+ 0.000e+00,
+ -1.737e-01,
+ -5.638e-03,
+ 1.488e-04,
+ 4.857e-04,
+ -1.809e-04,
+ 0.000e+00,
+ -1.514e-01,
+ -1.685e-02,
+ 5.333e-03,
+ -7.611e-05,
+ 2.394e-05,
+ 8.195e-06,
+ 0.000e+00,
+ 9.326e-02,
+ -1.275e-02,
+ -3.071e-04,
+ 5.374e-05,
+ -3.391e-05,
+ -7.436e-06,
+ 6.747e-07,
+ 0.000e+00,
+ -8.637e-02,
+ -3.807e-03,
+ -6.833e-04,
+ -3.861e-05,
+ -2.268e-05,
+ 1.454e-06,
+ 3.860e-07,
+ -1.068e-07,
+ 0.000e+00,
+ -2.658e-02,
+ -1.947e-03,
+ 7.131e-04,
+ -3.506e-05,
+ 1.885e-07,
+ 5.792e-07,
+ 3.990e-08,
+ 2.000e-08,
+ -5.700e-09
+ };
+
+ /** Build a new instance. */
+ ABCoefficients() {
+
+ }
+
+ /** Get the value of the mean hydrostatique coefficient ah for the given index.
+ * @param index index
+ * @return the mean hydrostatique coefficient ah for the given index
+ */
+ public double getAHMean(final int index) {
+ return AH_MEAN[index];
+ }
+
+ /** Get the value of the mean hydrostatique coefficient bh for the given index.
+ * @param index index
+ * @return the mean hydrostatique coefficient bh for the given index
+ */
+ public double getBHMean(final int index) {
+ return BH_MEAN[index];
+ }
+
+ /** Get the value of the mean wet coefficient aw for the given index.
+ * @param index index
+ * @return the mean wet coefficient aw for the given index
+ */
+ public double getAWMean(final int index) {
+ return AW_MEAN[index];
+ }
+
+ /** Get the value of the mean wet coefficient bw for the given index.
+ * @param index index
+ * @return the mean wet coefficient bw for the given index
+ */
+ public double getBWMean(final int index) {
+ return BW_MEAN[index];
+ }
+
+ /** Get the value of the amplitude of the hydrostatique coefficient ah for the given index.
+ * @param index index
+ * @return the amplitude of the hydrostatique coefficient ah for the given index
+ */
+ public double getAHAmplitude(final int index) {
+ return AH_AMPL[index];
+ }
+
+ /** Get the value of the amplitude of the hydrostatique coefficient bh for the given index.
+ * @param index index
+ * @return the amplitude of the hydrostatique coefficient bh for the given index
+ */
+ public double getBHAmplitude(final int index) {
+ return BH_AMPL[index];
+ }
+
+ /** Get the value of the amplitude of the wet coefficient aw for the given index.
+ * @param index index
+ * @return the amplitude of the wet coefficient aw for the given index
+ */
+ public double getAWAmplitude(final int index) {
+ return AW_AMPL[index];
+ }
+
+ /** Get the value of the amplitude of the wet coefficient bw for the given index.
+ * @param index index
+ * @return the amplitude of the wet coefficient bw for the given index
+ */
+ public double getBWAmplitude(final int index) {
+ return BW_AMPL[index];
+ }
+ }
+}
diff --git a/src/main/java/org/orekit/models/earth/MappingFunction.java b/src/main/java/org/orekit/models/earth/MappingFunction.java
new file mode 100644
index 0000000000000000000000000000000000000000..58ecf1ded2eac882294690061a37cb0971a91a72
--- /dev/null
+++ b/src/main/java/org/orekit/models/earth/MappingFunction.java
@@ -0,0 +1,93 @@
+/* Copyright 2011-2012 Space Applications Services
+ * Licensed to CS Communication & Systèmes (CS) under one or more
+ * contributor license agreements. See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * CS licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License. You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.orekit.models.earth;
+
+import java.io.Serializable;
+import java.util.List;
+
+import org.hipparchus.Field;
+import org.hipparchus.RealFieldElement;
+import org.hipparchus.util.MathArrays;
+import org.orekit.time.AbsoluteDate;
+import org.orekit.time.FieldAbsoluteDate;
+import org.orekit.utils.ParameterDriver;
+
+/** Interface for mapping functions used in the tropospheric delay computation.
+ * @author Bryan Cazabonne
+ */
+public interface MappingFunction extends Serializable {
+
+ /** This method allows the computation of the hydrostatic and
+ * wet mapping functions. The resulting element is an array having the following form:
+ * <ul>
+ * <li>double[0] = m<sub>h</sub>(e) -> hydrostatic mapping function
+ * <li>double[1] = m<sub>w</sub>(e) -> wet mapping function
+ * </ul>
+ * @param elevation the elevation of the satellite, in radians.
+ * @param height the height of the station in m above sea level.
+ * @param parameters tropospheric model parameters.
+ * @param date current date
+ * @return a two components array containing the hydrostatic and wet mapping functions.
+ */
+ double[] mappingFactors(double elevation, double height, double[] parameters, AbsoluteDate date);
+
+ /** This method allows the computation of the hydrostatic and
+ * wet mapping functions. The resulting element is an array having the following form:
+ * <ul>
+ * <li>T[0] = m<sub>h</sub>(e) -> hydrostatic mapping function
+ * <li>T[1] = m<sub>w</sub>(e) -> wet mapping function
+ * </ul>
+ * @param elevation the elevation of the satellite, in radians.
+ * @param height the height of the station in m above sea level.
+ * @param parameters tropospheric model parameters.
+ * @param date current date
+ * @param <T> type of the elements
+ * @return a two components array containing the hydrostatic and wet mapping functions.
+ */
+ <T extends RealFieldElement<T>> T[] mappingFactors(T elevation, T height, T[] parameters, FieldAbsoluteDate<T> date);
+
+ /** Get the drivers for tropospheric model parameters.
+ * @return drivers for tropospheric model parameters
+ */
+ List<ParameterDriver> getParametersDrivers();
+
+ /** Get tropospheric model parameters.
+ * @return tropospheric model parameters
+ */
+ default double[] getParameters() {
+ final List<ParameterDriver> drivers = getParametersDrivers();
+ final double[] parameters = new double[drivers.size()];
+ for (int i = 0; i < drivers.size(); ++i) {
+ parameters[i] = drivers.get(i).getValue();
+ }
+ return parameters;
+ }
+
+ /** Get tropospheric model parameters.
+ * @param field field to which the elements belong
+ * @param <T> type of the elements
+ * @return tropospheric model parameters
+ */
+ default <T extends RealFieldElement<T>> T[] getParameters(final Field<T> field) {
+ final List<ParameterDriver> drivers = getParametersDrivers();
+ final T[] parameters = MathArrays.buildArray(field, drivers.size());
+ for (int i = 0; i < drivers.size(); ++i) {
+ parameters[i] = field.getZero().add(drivers.get(i).getValue());
+ }
+ return parameters;
+ }
+}
diff --git a/src/main/java/org/orekit/models/earth/MariniMurrayModel.java b/src/main/java/org/orekit/models/earth/MariniMurrayModel.java
index 9d2ae63a29480d3fee3beb4ca333adc94f4a7fd6..033b5d4a0ede98fe83a6e54285d86f1bf7b38d8a 100644
--- a/src/main/java/org/orekit/models/earth/MariniMurrayModel.java
+++ b/src/main/java/org/orekit/models/earth/MariniMurrayModel.java
@@ -75,7 +75,7 @@ public class MariniMurrayModel implements TroposphericModel {
* @param latitude site latitude
* @param lambda laser wavelength (c/f), nm
*
- * @return a Saastamoinen model with standard environmental values
+ * @return a Marini-Murray model with standard environmental values
*/
public static MariniMurrayModel getStandardModel(final double latitude, final double lambda) {
return new MariniMurrayModel(273.15 + 20, 1013.25, 0.5, latitude, lambda);
diff --git a/src/main/java/org/orekit/models/earth/MendesPavlisModel.java b/src/main/java/org/orekit/models/earth/MendesPavlisModel.java
new file mode 100644
index 0000000000000000000000000000000000000000..ff29a266fb1f98639a10a1834f381b323c5a0923
--- /dev/null
+++ b/src/main/java/org/orekit/models/earth/MendesPavlisModel.java
@@ -0,0 +1,386 @@
+/* Copyright 2002-2019 CS Systèmes d'Information
+ * Licensed to CS Systèmes d'Information (CS) under one or more
+ * contributor license agreements. See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * CS licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License. You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.orekit.models.earth;
+
+import java.util.Collections;
+import java.util.List;
+
+import org.hipparchus.Field;
+import org.hipparchus.RealFieldElement;
+import org.hipparchus.util.FastMath;
+import org.hipparchus.util.MathArrays;
+import org.orekit.time.AbsoluteDate;
+import org.orekit.time.FieldAbsoluteDate;
+import org.orekit.utils.ParameterDriver;
+
+/** The Mendes - Pavlis tropospheric delay model for optical techniques.
+* It is valid for a wide range of wavelengths from 0.355µm to 1.064µm (Mendes and Pavlis, 2003)
+*
+* @see Mendes, V. B., & Pavlis, E. C. (2004). High‐accuracy zenith delay prediction at
+* optical wavelengths. Geophysical Research Letters, 31(14).
+*
+* @see <p>Petit, G. and Luzum, B. (eds.), IERS Conventions (2010),
+* IERS Technical Note No. 36, BKG (2010)</p>
+*
+* @author Bryan Cazabonne
+*/
+public class MendesPavlisModel implements DiscreteTroposphericModel {
+
+ /** Serializable UID. */
+ private static final long serialVersionUID = 6433588032679366305L;
+
+ /** Coefficients for the dispertion equation for the hydrostatic component [µm<sup>-2</sup>]. */
+ private static final double[] K_COEFFICIENTS = {
+ 238.0185, 19990.975, 57.362, 579.55174
+ };
+
+ /** Coefficients for the dispertion equation for the non-hydrostatic component. */
+ private static final double[] W_COEFFICIENTS = {
+ 295.235, 2.6422, -0.032380, 0.004028
+ };
+
+ /** Coefficients for the mapping function. */
+ private static final double[][] A_COEFFICIENTS = {
+ {12100.8e-7, 1729.5e-9, 319.1e-7, -1847.8e-11},
+ {30496.5e-7, 234.4e-8, -103.5e-6, -185.6e-10},
+ {6877.7e-5, 197.2e-7, -345.8e-5, 106.0e-9}
+ };
+
+ /** Carbon dioxyde content (IAG recommendations). */
+ private static final double C02 = 0.99995995;
+
+ /** Geodetic site latitude [rad]. */
+ private double latitude;
+
+ /** Laser wavelength [µm]. */
+ private double lambda;
+
+ /** The atmospheric pressure [hPa]. */
+ private double P0;
+
+ /** The temperature at the station [K]. */
+ private double T0;
+
+ /** Water vapor pressure at the laser site [hPa]. */
+ private double e0;
+
+ /** Create a new Mendes-Pavlis model for the troposphere.
+ * This initialisation will compute the water vapor pressure
+ * thanks to the values of the pressure, the temperature and the humidity
+ * @param t0 the temperature at the station, K
+ * @param p0 the atmospheric pressure at the station, hPa
+ * @param rh the humidity at the station, percent (50% -> 0.5)
+ * @param latitude geodetic latitude of the station, radians
+ * @param lambda laser wavelength, µm
+ * */
+ public MendesPavlisModel(final double t0, final double p0, final double rh,
+ final double latitude, final double lambda) {
+ this.P0 = p0;
+ this.T0 = t0;
+ this.e0 = getWaterVapor(rh);
+ this.latitude = latitude;
+ this.lambda = lambda;
+ }
+
+ /** Create a new Mendes-Pavlis model using a standard atmosphere model.
+ *
+ * <ul>
+ * <li>temperature: 18 degree Celsius
+ * <li>pressure: 1013.25 hPa
+ * <li>humidity: 50%
+ * </ul>
+ *
+ * @param latitude site latitude, radians
+ * @param lambda laser wavelength, µm
+ *
+ * @return a Mendes-Pavlis model with standard environmental values
+ */
+ public static MendesPavlisModel getStandardModel(final double latitude, final double lambda) {
+ return new MendesPavlisModel(273.15 + 18, 1013.25, 0.5, latitude, lambda);
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public double pathDelay(final double elevation, final double height,
+ final double[] parameters, final AbsoluteDate date) {
+ // Zenith delay
+ final double[] zenithDelay = computeZenithDelay(height, parameters, date);
+ // Mapping function
+ final double[] mappingFunction = mappingFactors(elevation, height, parameters, date);
+ // Tropospheric path delay
+ return zenithDelay[0] * mappingFunction[0] + zenithDelay[1] * mappingFunction[1];
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public <T extends RealFieldElement<T>> T pathDelay(final T elevation, final T height,
+ final T[] parameters, final FieldAbsoluteDate<T> date) {
+ // Zenith delay
+ final T[] delays = computeZenithDelay(height, parameters, date);
+ // Mapping function
+ final T[] mappingFunction = mappingFactors(elevation, height, parameters, date);
+ // Tropospheric path delay
+ return delays[0].multiply(mappingFunction[0]).add(delays[1].multiply(mappingFunction[1]));
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public double[] computeZenithDelay(final double height, final double[] parameters, final AbsoluteDate date) {
+ final double fsite = getSiteFunctionValue(height);
+
+ // Array for zenith delay
+ final double[] delay = new double[2];
+
+ // Dispertion Equation for the Hydrostatic component
+ final double sigma = 1 / lambda;
+ final double sigma2 = sigma * sigma;
+ final double coef1 = K_COEFFICIENTS[0] + sigma2;
+ final double coef2 = K_COEFFICIENTS[0] - sigma2;
+ final double coef3 = K_COEFFICIENTS[2] + sigma2;
+ final double coef4 = K_COEFFICIENTS[2] - sigma2;
+
+ final double frac1 = coef1 / (coef2 * coef2);
+ final double frac2 = coef3 / (coef4 * coef4);
+
+ final double fLambdaH = 0.01 * (K_COEFFICIENTS[1] * frac1 + K_COEFFICIENTS[3] * frac2) * C02;
+
+ // Zenith delay for the hydrostatic component
+ delay[0] = 0.002416579 * (fLambdaH / fsite) * P0;
+
+ // Dispertion Equation for the Non-Hydrostatic component
+ final double sigma4 = sigma2 * sigma2;
+ final double sigma6 = sigma4 * sigma2;
+ final double w1s2 = 3 * W_COEFFICIENTS[1] * sigma2;
+ final double w2s4 = 5 * W_COEFFICIENTS[2] * sigma4;
+ final double w3s6 = 7 * W_COEFFICIENTS[3] * sigma6;
+
+ final double fLambdaNH = 0.003101 * (W_COEFFICIENTS[0] + w1s2 + w2s4 + w3s6);
+
+ // Zenith delay for the non-hydrostatic component
+ delay[1] = 0.0001 * (5.316 * fLambdaNH - 3.759 * fLambdaH) * (e0 / fsite);
+
+ return delay;
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public <T extends RealFieldElement<T>> T[] computeZenithDelay(final T height, final T[] parameters,
+ final FieldAbsoluteDate<T> date) {
+ final Field<T> field = height.getField();
+ final T zero = field.getZero();
+
+ final T fsite = getSiteFunctionValue(height);
+
+ // Array for zenith delay
+ final T[] delay = MathArrays.buildArray(field, 2);
+
+ // Dispertion Equation for the Hydrostatic component
+ final T sigma = zero.add(1 / lambda);
+ final T sigma2 = sigma.multiply(sigma);
+ final T coef1 = sigma2.add(K_COEFFICIENTS[0]);
+ final T coef2 = sigma2.negate().add(K_COEFFICIENTS[0]);
+ final T coef3 = sigma2.add(K_COEFFICIENTS[2]);
+ final T coef4 = sigma2.negate().add(K_COEFFICIENTS[2]);
+
+ final T frac1 = coef1.divide(coef2.multiply(coef2));
+ final T frac2 = coef3.divide(coef4.multiply(coef4));
+
+ final T fLambdaH = frac1.multiply(K_COEFFICIENTS[1]).add(frac2.multiply(K_COEFFICIENTS[3])).multiply(0.01 * C02);
+
+ // Zenith delay for the hydrostatic component
+ delay[0] = fLambdaH.divide(fsite).multiply(P0).multiply(0.002416579);
+
+ // Dispertion Equation for the Non-Hydrostatic component
+ final T sigma4 = sigma2.multiply(sigma2);
+ final T sigma6 = sigma4.multiply(sigma2);
+ final T w1s2 = sigma2.multiply(3 * W_COEFFICIENTS[1]);
+ final T w2s4 = sigma4.multiply(5 * W_COEFFICIENTS[2]);
+ final T w3s6 = sigma6.multiply(7 * W_COEFFICIENTS[3]);
+
+ final T fLambdaNH = w1s2.add(w2s4).add(w3s6).add(W_COEFFICIENTS[0]).multiply(0.003101);
+
+ // Zenith delay for the non-hydrostatic component
+ delay[1] = fLambdaNH.multiply(5.316).subtract(fLambdaH.multiply(3.759)).multiply(fsite.divide(e0).reciprocal()).multiply(0.0001);
+
+ return delay;
+ }
+
+ /** With the Mendes Pavlis tropospheric model, the mapping
+ * function is not split into hydrostatic and wet component.
+ * <p>
+ * Therefore, the two components of the resulting array are
+ * equals.
+ * <ul>
+ * <li>double[0] = m(e) -> total mapping function
+ * <li>double[1] = m(e) -> total mapping function
+ * </ul>
+ * </p><p>
+ * The total delay will thus be computed as this:
+ * <pre>
+ * δ = D<sub>hz</sub> * m(e) + D<sub>wz</sub> * m(e)
+ * </pre>
+ * <pre>
+ * δ = (D<sub>hz</sub> + D<sub>wz</sub>) * m(e) = δ<sub>z</sub> * m(e)
+ * </pre>
+ * </p>
+ * */
+ @Override
+ public double[] mappingFactors(final double elevation, final double height,
+ final double[] parameters, final AbsoluteDate date) {
+ final double sinE = FastMath.sin(elevation);
+
+ final double T2degree = T0 - 273.15;
+
+ // Mapping function coefficients
+ final double a1 = computeMFCoeffient(A_COEFFICIENTS[0][0], A_COEFFICIENTS[0][1],
+ A_COEFFICIENTS[0][2], A_COEFFICIENTS[0][3],
+ T2degree, height);
+ final double a2 = computeMFCoeffient(A_COEFFICIENTS[1][0], A_COEFFICIENTS[1][1],
+ A_COEFFICIENTS[1][2], A_COEFFICIENTS[1][3],
+ T2degree, height);
+ final double a3 = computeMFCoeffient(A_COEFFICIENTS[2][0], A_COEFFICIENTS[2][1],
+ A_COEFFICIENTS[2][2], A_COEFFICIENTS[2][3],
+ T2degree, height);
+
+ // Numerator
+ final double numMP = 1 + a1 / (1 + a2 / (1 + a3));
+ // Denominator
+ final double denMP = sinE + a1 / (sinE + a2 / (sinE + a3));
+
+ final double factor = numMP / denMP;
+
+ return new double[] {
+ factor,
+ factor
+ };
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public <T extends RealFieldElement<T>> T[] mappingFactors(final T elevation, final T height,
+ final T[] parameters, final FieldAbsoluteDate<T> date) {
+ final Field<T> field = date.getField();
+
+ final T sinE = FastMath.sin(elevation);
+
+ final double T2degree = T0 - 273.15;
+
+ // Mapping function coefficients
+ final T a1 = computeMFCoeffient(A_COEFFICIENTS[0][0], A_COEFFICIENTS[0][1],
+ A_COEFFICIENTS[0][2], A_COEFFICIENTS[0][3],
+ T2degree, height);
+ final T a2 = computeMFCoeffient(A_COEFFICIENTS[1][0], A_COEFFICIENTS[1][1],
+ A_COEFFICIENTS[1][2], A_COEFFICIENTS[1][3],
+ T2degree, height);
+ final T a3 = computeMFCoeffient(A_COEFFICIENTS[2][0], A_COEFFICIENTS[2][1],
+ A_COEFFICIENTS[2][2], A_COEFFICIENTS[2][3],
+ T2degree, height);
+
+ // Numerator
+ final T numMP = a1.divide(a2.divide(a3.add(1.0)).add(1.0)).add(1.0);
+ // Denominator
+ final T denMP = a1.divide(a2.divide(a3.add(sinE)).add(sinE)).add(sinE);
+
+ final T factor = numMP.divide(denMP);
+
+ final T[] mapping = MathArrays.buildArray(field, 2);
+ mapping[0] = factor;
+ mapping[1] = factor;
+
+ return mapping;
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public List<ParameterDriver> getParametersDrivers() {
+ return Collections.emptyList();
+ }
+
+ /** Get the laser frequency parameter f(lambda).
+ *
+ * @param height height above the geoid, m
+ * @return the laser frequency parameter f(lambda).
+ */
+ private double getSiteFunctionValue(final double height) {
+ return 1. - 0.00266 * FastMath.cos(2 * latitude) - 0.00000028 * height;
+ }
+
+ /** Get the laser frequency parameter f(lambda).
+ *
+ * @param <T> type of the elements
+ * @param height height above the geoid, m
+ * @return the laser frequency parameter f(lambda).
+ */
+ private <T extends RealFieldElement<T>> T getSiteFunctionValue(final T height) {
+ return height.multiply(0.00000028).negate().add(1. - 0.00266 * FastMath.cos(2 * latitude));
+ }
+
+ /** Compute the coefficients of the Mapping Function.
+ *
+ * @param T the temperature at the station site, °C
+ * @param a0 first coefficient
+ * @param a1 second coefficient
+ * @param a2 third coefficient
+ * @param a3 fourth coefficient
+ * @param height the height of the station in m above sea level
+ * @return the value of the coefficient
+ */
+ private double computeMFCoeffient(final double a0, final double a1, final double a2, final double a3,
+ final double T, final double height) {
+ return a0 + a1 * T + a2 * FastMath.cos(latitude) + a3 * height;
+ }
+
+ /** Compute the coefficients of the Mapping Function.
+ *
+ * @param <T> type of the elements
+ * @param temp the temperature at the station site, °C
+ * @param a0 first coefficient
+ * @param a1 second coefficient
+ * @param a2 third coefficient
+ * @param a3 fourth coefficient
+ * @param height the height of the station in m above sea level
+ * @return the value of the coefficient
+ */
+ private <T extends RealFieldElement<T>> T computeMFCoeffient(final double a0, final double a1, final double a2, final double a3,
+ final double temp, final T height) {
+ return height.multiply(a3).add(a0 + a1 * temp + a2 * FastMath.cos(latitude));
+ }
+
+ /** Get the water vapor.
+ * The water vapor model is the one of Giacomo and Davis as indicated in IERS TN 32, chap. 9.
+ *
+ * See: Giacomo, P., Equation for the dertermination of the density of moist air, Metrologia, V. 18, 1982
+ *
+ * @param rh relative humidity, in percent (50% -> 0.5).
+ * @return the water vapor, in mbar (1 mbar = 1 hPa).
+ */
+ private double getWaterVapor(final double rh) {
+
+ // saturation water vapor, equation (3) of reference paper, in mbar
+ // with amended 1991 values (see reference paper)
+ final double es = 0.01 * FastMath.exp((1.2378847 * 1e-5) * T0 * T0 -
+ (1.9121316 * 1e-2) * T0 +
+ 33.93711047 -
+ (6.3431645 * 1e3) * 1. / T0);
+
+ // enhancement factor, equation (4) of reference paper
+ final double fw = 1.00062 + (3.14 * 1e-6) * P0 + (5.6 * 1e-7) * FastMath.pow(T0 - 273.15, 2);
+
+ final double e = rh * fw * es;
+ return e;
+ }
+}
diff --git a/src/main/java/org/orekit/models/earth/NiellMappingFunctionModel.java b/src/main/java/org/orekit/models/earth/NiellMappingFunctionModel.java
new file mode 100644
index 0000000000000000000000000000000000000000..28c446131aba4bb0195ab7e2db6bcf1362894998
--- /dev/null
+++ b/src/main/java/org/orekit/models/earth/NiellMappingFunctionModel.java
@@ -0,0 +1,322 @@
+/* Copyright 2002-2019 CS Systèmes d'Information
+ * Licensed to CS Systèmes d'Information (CS) under one or more
+ * contributor license agreements. See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * CS licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License. You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.orekit.models.earth;
+
+import java.util.Collections;
+import java.util.List;
+
+import org.hipparchus.Field;
+import org.hipparchus.RealFieldElement;
+import org.hipparchus.analysis.UnivariateFunction;
+import org.hipparchus.analysis.interpolation.LinearInterpolator;
+import org.hipparchus.util.FastMath;
+import org.hipparchus.util.MathArrays;
+import org.orekit.time.AbsoluteDate;
+import org.orekit.time.DateTimeComponents;
+import org.orekit.time.FieldAbsoluteDate;
+import org.orekit.time.TimeScalesFactory;
+import org.orekit.utils.ParameterDriver;
+
+/** The Niell Mapping Function model for radio wavelengths.
+ * This model is an empirical mapping function. It only needs the
+ * values of the station latitude, height and the date for the computations.
+ * <p>
+ * With this model, the hydrostatic mapping function is time and latitude dependent
+ * whereas the wet mapping function is only latitude dependent.
+ * </p>
+ *
+ * @see A. E. Niell(1996), "Global mapping functions for the atmosphere delay of radio wavelengths,”
+ * J. Geophys. Res., 101(B2), pp. 3227–3246, doi: 10.1029/95JB03048.
+ *
+ * @author Bryan Cazabonne
+ *
+ */
+public class NiellMappingFunctionModel implements MappingFunction {
+
+ /** Serializable UID. */
+ private static final long serialVersionUID = 7990311232335034375L;
+
+ /** Values for the ah average function. */
+ private static final double[] VALUES_FOR_AH_AVERAGE = {
+ 1.2769934e-3, 1.2683230e-3, 1.2465397e-3, 1.2196049e-3, 1.2045996e-3
+ };
+
+ /** Values for the bh average function. */
+ private static final double[] VALUES_FOR_BH_AVERAGE = {
+ 2.9153695e-3, 2.9152299e-3, 2.9288445e-3, 2.9022565e-3, 2.9024912e-3
+ };
+
+ /** Values for the ch average function. */
+ private static final double[] VALUES_FOR_CH_AVERAGE = {
+ 62.610505e-3, 62.837393e-3, 63.721774e-3, 63.824265e-3, 64.258455e-3
+ };
+
+ /** Values for the ah amplitude function. */
+ private static final double[] VALUES_FOR_AH_AMPLITUDE = {
+ 0.0, 1.2709626e-5, 2.6523662e-5, 3.4000452e-5, 4.1202191e-5
+ };
+
+ /** Values for the bh amplitude function. */
+ private static final double[] VALUES_FOR_BH_AMPLITUDE = {
+ 0.0, 2.1414979e-5, 3.0160779e-5, 7.2562722e-5, 11.723375e-5
+ };
+
+ /** X values for the ch amplitude function. */
+ private static final double[] VALUES_FOR_CH_AMPLITUDE = {
+ 0.0, 9.0128400e-5, 4.3497037e-5, 84.795348e-5, 170.37206e-5
+ };
+
+ /** Values for the aw function. */
+ private static final double[] VALUES_FOR_AW = {
+ 5.8021897e-4, 5.6794847e-4, 5.8118019e-4, 5.9727542e-4, 6.1641693e-4
+ };
+
+ /** Values for the bw function. */
+ private static final double[] VALUES_FOR_BW = {
+ 1.4275268e-3, 1.5138625e-3, 1.4572752e-3, 1.5007428e-3, 1.7599082e-3
+ };
+
+ /** Values for the cw function. */
+ private static final double[] VALUES_FOR_CW = {
+ 4.3472961e-2, 4.6729510e-2, 4.3908931e-2, 4.4626982e-2, 5.4736038e-2
+ };
+
+ /** Values for the cw function. */
+ private static final double[] LATITUDE_VALUES = {
+ FastMath.toRadians(15.0), FastMath.toRadians(30.0), FastMath.toRadians(45.0), FastMath.toRadians(60.0), FastMath.toRadians(75.0),
+ };
+
+ /** Interpolation function for the ah (average) term. */
+ private final transient UnivariateFunction ahAverageFunction;
+
+ /** Interpolation function for the bh (average) term. */
+ private final transient UnivariateFunction bhAverageFunction;
+
+ /** Interpolation function for the ch (average) term. */
+ private final transient UnivariateFunction chAverageFunction;
+
+ /** Interpolation function for the ah (amplitude) term. */
+ private final transient UnivariateFunction ahAmplitudeFunction;
+
+ /** Interpolation function for the bh (amplitude) term. */
+ private final transient UnivariateFunction bhAmplitudeFunction;
+
+ /** Interpolation function for the ch (amplitude) term. */
+ private final transient UnivariateFunction chAmplitudeFunction;
+
+ /** Interpolation function for the aw term. */
+ private final transient UnivariateFunction awFunction;
+
+ /** Interpolation function for the bw term. */
+ private final transient UnivariateFunction bwFunction;
+
+ /** Interpolation function for the cw term. */
+ private final transient UnivariateFunction cwFunction;
+
+ /** Geodetic site latitude, radians.*/
+ private final double latitude;
+
+ /** Buils a new instance.
+ * @param latitude geodetic latitude of the station, in radians
+ */
+ public NiellMappingFunctionModel(final double latitude) {
+ // Interpolation functions for hydrostatic coefficients
+ this.ahAverageFunction = new LinearInterpolator().interpolate(LATITUDE_VALUES, VALUES_FOR_AH_AVERAGE);
+ this.bhAverageFunction = new LinearInterpolator().interpolate(LATITUDE_VALUES, VALUES_FOR_BH_AVERAGE);
+ this.chAverageFunction = new LinearInterpolator().interpolate(LATITUDE_VALUES, VALUES_FOR_CH_AVERAGE);
+ this.ahAmplitudeFunction = new LinearInterpolator().interpolate(LATITUDE_VALUES, VALUES_FOR_AH_AMPLITUDE);
+ this.bhAmplitudeFunction = new LinearInterpolator().interpolate(LATITUDE_VALUES, VALUES_FOR_BH_AMPLITUDE);
+ this.chAmplitudeFunction = new LinearInterpolator().interpolate(LATITUDE_VALUES, VALUES_FOR_CH_AMPLITUDE);
+
+ // Interpolation functions for wet coefficients
+ this.awFunction = new LinearInterpolator().interpolate(LATITUDE_VALUES, VALUES_FOR_AW);
+ this.bwFunction = new LinearInterpolator().interpolate(LATITUDE_VALUES, VALUES_FOR_BW);
+ this.cwFunction = new LinearInterpolator().interpolate(LATITUDE_VALUES, VALUES_FOR_CW);
+
+ this.latitude = latitude;
+ }
+
+ @Override
+ public double[] mappingFactors(final double elevation, final double height,
+ final double[] parameters, final AbsoluteDate date) {
+ // Day of year computation
+ final DateTimeComponents dtc = date.getComponents(TimeScalesFactory.getUTC());
+ final int dofyear = dtc.getDate().getDayOfYear();
+
+ // Temporal factor
+ double t0 = 28;
+ if (latitude < 0) {
+ // southern hemisphere: t0 = 28 + an integer half of year
+ t0 += 183;
+ }
+ final double coef = 2 * FastMath.PI * ((dofyear - t0) / 365.25);
+ final double cosCoef = FastMath.cos(coef);
+
+ // Compute ah, bh and ch Eq. 5
+ double absLatidude = FastMath.abs(latitude);
+ // there are no data in the model for latitudes lower than 15°
+ absLatidude = FastMath.max(FastMath.toRadians(15.0), absLatidude);
+ // there are no data in the model for latitudes greater than 75°
+ absLatidude = FastMath.min(FastMath.toRadians(75.0), absLatidude);
+ final double ah = ahAverageFunction.value(absLatidude) - ahAmplitudeFunction.value(absLatidude) * cosCoef;
+ final double bh = bhAverageFunction.value(absLatidude) - bhAmplitudeFunction.value(absLatidude) * cosCoef;
+ final double ch = chAverageFunction.value(absLatidude) - chAmplitudeFunction.value(absLatidude) * cosCoef;
+
+ final double[] function = new double[2];
+
+ // Hydrostatic mapping factor
+ function[0] = computeFunction(ah, bh, ch, elevation);
+
+ // Wet mapping factor
+ function[1] = computeFunction(awFunction.value(absLatidude), bwFunction.value(absLatidude), cwFunction.value(absLatidude), elevation);
+
+ // Apply height correction
+ final double correction = computeHeightCorrection(elevation, height);
+ function[0] = function[0] + correction;
+
+ return function;
+ }
+
+ @Override
+ public <T extends RealFieldElement<T>> T[] mappingFactors(final T elevation, final T height,
+ final T[] parameters, final FieldAbsoluteDate<T> date) {
+ final Field<T> field = height.getField();
+ final T zero = field.getZero();
+
+ // Day of year computation
+ final DateTimeComponents dtc = date.getComponents(TimeScalesFactory.getUTC());
+ final int dofyear = dtc.getDate().getDayOfYear();
+
+ // Temporal factor
+ double t0 = 28;
+ if (latitude < 0) {
+ // southern hemisphere: t0 = 28 + an integer half of year
+ t0 += 183;
+ }
+ final T coef = zero.add(2 * FastMath.PI * ((dofyear - t0) / 365.25));
+ final T cosCoef = FastMath.cos(coef);
+
+ // Compute ah, bh and ch Eq. 5
+ double absLatidude = FastMath.abs(latitude);
+ // there are no data in the model for latitudes lower than 15°
+ absLatidude = FastMath.max(FastMath.toRadians(15.0), absLatidude);
+ // there are no data in the model for latitudes greater than 75°
+ absLatidude = FastMath.min(FastMath.toRadians(75.0), absLatidude);
+ final T ah = cosCoef.multiply(ahAmplitudeFunction.value(absLatidude)).negate().add(ahAverageFunction.value(absLatidude));
+ final T bh = cosCoef.multiply(bhAmplitudeFunction.value(absLatidude)).negate().add(bhAverageFunction.value(absLatidude));
+ final T ch = cosCoef.multiply(chAmplitudeFunction.value(absLatidude)).negate().add(chAverageFunction.value(absLatidude));
+
+ final T[] function = MathArrays.buildArray(field, 2);
+
+ // Hydrostatic mapping factor
+ function[0] = computeFunction(ah, bh, ch, elevation);
+
+ // Wet mapping factor
+ function[1] = computeFunction(zero.add(awFunction.value(absLatidude)), zero.add(bwFunction.value(absLatidude)),
+ zero.add(cwFunction.value(absLatidude)), elevation);
+
+ // Apply height correction
+ final T correction = computeHeightCorrection(elevation, height, field);
+ function[0] = function[0].add(correction);
+
+ return function;
+ }
+
+ @Override
+ public List<ParameterDriver> getParametersDrivers() {
+ return Collections.emptyList();
+ }
+
+ /** Compute the mapping function related to the coefficient values and the elevation.
+ * @param a a coefficient
+ * @param b b coefficient
+ * @param c c coefficient
+ * @param elevation the elevation of the satellite, in radians.
+ * @return the value of the function at a given elevation
+ */
+ private double computeFunction(final double a, final double b, final double c, final double elevation) {
+ final double sinE = FastMath.sin(elevation);
+ // Numerator
+ final double numMP = 1 + a / (1 + b / (1 + c));
+ // Denominator
+ final double denMP = sinE + a / (sinE + b / (sinE + c));
+
+ final double felevation = numMP / denMP;
+
+ return felevation;
+ }
+
+ /** Compute the mapping function related to the coefficient values and the elevation.
+ * @param <T> type of the elements
+ * @param a a coefficient
+ * @param b b coefficient
+ * @param c c coefficient
+ * @param elevation the elevation of the satellite, in radians.
+ * @return the value of the function at a given elevation
+ */
+ private <T extends RealFieldElement<T>> T computeFunction(final T a, final T b, final T c, final T elevation) {
+ final T sinE = FastMath.sin(elevation);
+ // Numerator
+ final T numMP = a.divide(b.divide(c.add(1.0)).add(1.0)).add(1.0);
+ // Denominator
+ final T denMP = a.divide(b.divide(c.add(sinE)).add(sinE)).add(sinE);
+
+ final T felevation = numMP.divide(denMP);
+
+ return felevation;
+ }
+
+ /** This method computes the height correction for the hydrostatic
+ * component of the mapping function (Neill, 1996).
+ * @param elevation the elevation of the satellite, in radians.
+ * @param height the height of the station in m above sea level.
+ * @return the height correction, in m
+ */
+ private double computeHeightCorrection(final double elevation, final double height) {
+ final double fixedHeight = FastMath.max(0.0, height);
+ final double sinE = FastMath.sin(elevation);
+ // Ref: Eq. 4
+ final double function = computeFunction(2.53e-5, 5.49e-3, 1.14e-3, elevation);
+ // Ref: Eq. 6
+ final double dmdh = (1 / sinE) - function;
+ // Ref: Eq. 7
+ final double correction = dmdh * (fixedHeight / 1000.0);
+ return correction;
+ }
+
+ /** This method computes the height correction for the hydrostatic
+ * component of the mapping function (Neill, 1996).
+ * @param <T> type of the elements
+ * @param elevation the elevation of the satellite, in radians.
+ * @param height the height of the station in m above sea level.
+ * @param field field to which the elements belong
+ * @return the height correction, in m
+ */
+ private <T extends RealFieldElement<T>> T computeHeightCorrection(final T elevation, final T height, final Field<T> field) {
+ final T zero = field.getZero();
+ final T fixedHeight = FastMath.max(zero, height);
+ final T sinE = FastMath.sin(elevation);
+ // Ref: Eq. 4
+ final T function = computeFunction(zero.add(2.53e-5), zero.add(5.49e-3), zero.add(1.14e-3), elevation);
+ // Ref: Eq. 6
+ final T dmdh = sinE.reciprocal().subtract(function);
+ // Ref: Eq. 7
+ final T correction = dmdh.multiply(fixedHeight.divide(1000.0));
+ return correction;
+ }
+
+}
diff --git a/src/main/java/org/orekit/models/earth/TroposphericModel.java b/src/main/java/org/orekit/models/earth/TroposphericModel.java
index 031c8343e5500c45b78fbff49622cef78be0b400..190e2828c82a705a9a3acfaf497632a3523a446e 100644
--- a/src/main/java/org/orekit/models/earth/TroposphericModel.java
+++ b/src/main/java/org/orekit/models/earth/TroposphericModel.java
@@ -16,14 +16,27 @@
*/
package org.orekit.models.earth;
-import java.io.Serializable;
+import java.util.Collections;
+import java.util.List;
+
+import org.hipparchus.Field;
+import org.hipparchus.RealFieldElement;
+import org.hipparchus.util.FastMath;
+import org.hipparchus.util.MathArrays;
+import org.orekit.time.AbsoluteDate;
+import org.orekit.time.FieldAbsoluteDate;
+import org.orekit.utils.ParameterDriver;
/** Defines a tropospheric model, used to calculate the path delay imposed to
* electro-magnetic signals between an orbital satellite and a ground station.
+ * <p>
+ * Models that implement this interface don't split the delay into hydrostatic
+ * and non-hydrostatic part.
+ * </p>
* @author Thomas Neidhart
* @since 7.1
*/
-public interface TroposphericModel extends Serializable {
+public interface TroposphericModel extends DiscreteTroposphericModel {
/** Calculates the tropospheric path delay for the signal path from a ground
* station to a satellite.
@@ -34,4 +47,134 @@ public interface TroposphericModel extends Serializable {
*/
double pathDelay(double elevation, double height);
+ /** Calculates the tropospheric path delay for the signal path from a ground
+ * station to a satellite.
+ * <p>
+ * It is discourage to use this method. It has been developed to respect the
+ * current architecture of the tropospheric models.
+ * </p>
+ * @param <T> type of the elements
+ * @param elevation the elevation of the satellite, in radians
+ * @param height the height of the station in m above sea level
+ * @return the path delay due to the troposphere in m
+ */
+ default <T extends RealFieldElement<T>> T pathDelay(T elevation, T height) {
+ final T zero = height.getField().getZero();
+ return zero.add(pathDelay(elevation.getReal(), height.getReal()));
+ }
+
+ /** Calculates the tropospheric path delay for the signal path from a ground
+ * station to a satellite.
+ *
+ * @param elevation the elevation of the satellite, in radians
+ * @param height the height of the station in m above sea level
+ * @param parameters tropospheric model parameters.
+ * @param date current date
+ * @return the path delay due to the troposphere in m
+ */
+ default double pathDelay(double elevation, double height, double[] parameters, AbsoluteDate date) {
+ return pathDelay(elevation, height);
+ }
+
+ /** Calculates the tropospheric path delay for the signal path from a ground
+ * station to a satellite.
+ *
+ * @param <T> type of the elements
+ * @param elevation the elevation of the satellite, in radians
+ * @param height the height of the station in m above sea level
+ * @param parameters tropospheric model parameters.
+ * @param date current date
+ * @return the path delay due to the troposphere in m
+ */
+ default <T extends RealFieldElement<T>> T pathDelay(T elevation, T height, T[] parameters, FieldAbsoluteDate<T> date) {
+ return pathDelay(elevation, height);
+ }
+
+ /** This method allows the computation of the zenith hydrostatic and
+ * zenith wet delay. The resulting element is an array having the following form:
+ * <ul>
+ * <li>double[0] = D<sub>hz</sub> -> zenith hydrostatic delay
+ * <li>double[1] = D<sub>wz</sub> -> zenith wet delay
+ * </ul>
+ * @param height the height of the station in m above sea level.
+ * @param parameters tropospheric model parameters.
+ * @param date current date
+ * @return a two components array containing the zenith hydrostatic and wet delays.
+ */
+ default double[] computeZenithDelay(double height, double[] parameters, AbsoluteDate date) {
+ return new double[] {
+ pathDelay(0.5 * FastMath.PI, height),
+ 0
+ };
+ }
+
+ /** This method allows the computation of the zenith hydrostatic and
+ * zenith wet delay. The resulting element is an array having the following form:
+ * <ul>
+ * <li>double[0] = D<sub>hz</sub> -> zenith hydrostatic delay
+ * <li>double[1] = D<sub>wz</sub> -> zenith wet delay
+ * </ul>
+ * @param <T> type of the elements
+ * @param height the height of the station in m above sea level.
+ * @param parameters tropospheric model parameters.
+ * @param date current date
+ * @return a two components array containing the zenith hydrostatic and wet delays.
+ */
+ default <T extends RealFieldElement<T>> T[] computeZenithDelay(T height, T[] parameters, FieldAbsoluteDate<T> date) {
+ final Field<T> field = height.getField();
+ final T zero = field.getZero();
+ final T[] delay = MathArrays.buildArray(field, 2);
+ delay[0] = pathDelay(zero.add(0.5 * FastMath.PI), height);
+ delay[1] = zero;
+ return delay;
+ }
+
+ /** This method allows the computation of the hydrostatic and
+ * wet mapping functions. The resulting element is an array having the following form:
+ * <ul>
+ * <li>double[0] = m<sub>h</sub>(e) -> hydrostatic mapping function
+ * <li>double[1] = m<sub>w</sub>(e) -> wet mapping function
+ * </ul>
+ * @param elevation the elevation of the satellite, in radians.
+ * @param height the height of the station in m above sea level.
+ * @param parameters tropospheric model parameters.
+ * @param date current date
+ * @return a two components array containing the hydrostatic and wet mapping functions.
+ */
+ default double[] mappingFactors(double elevation, double height, double[] parameters, AbsoluteDate date) {
+ return new double[] {
+ 1.0,
+ 1.0
+ };
+ }
+
+ /** This method allows the computation of the hydrostatic and
+ * wet mapping functions. The resulting element is an array having the following form:
+ * <ul>
+ * <li>double[0] = m<sub>h</sub>(e) -> hydrostatic mapping function
+ * <li>double[1] = m<sub>w</sub>(e) -> wet mapping function
+ * </ul>
+ * @param elevation the elevation of the satellite, in radians.
+ * @param height the height of the station in m above sea level.
+ * @param parameters tropospheric model parameters.
+ * @param date current date
+ * @param <T> type of the elements
+ * @return a two components array containing the hydrostatic and wet mapping functions.
+ */
+ default <T extends RealFieldElement<T>> T[] mappingFactors(T elevation, T height,
+ T[] parameters, FieldAbsoluteDate<T> date) {
+ final Field<T> field = date.getField();
+ final T one = field.getOne();
+ final T[] factors = MathArrays.buildArray(field, 2);
+ factors[0] = one;
+ factors[1] = one;
+ return factors;
+ }
+
+ /** Get the drivers for tropospheric model parameters.
+ * @return drivers for tropospheric model parameters
+ */
+ default List<ParameterDriver> getParametersDrivers() {
+ return Collections.emptyList();
+ }
}
diff --git a/src/main/java/org/orekit/models/earth/ViennaModelCoefficientsLoader.java b/src/main/java/org/orekit/models/earth/ViennaModelCoefficientsLoader.java
new file mode 100644
index 0000000000000000000000000000000000000000..3bac36856b0b9e5437ddc01c52d2b7aa80f3463a
--- /dev/null
+++ b/src/main/java/org/orekit/models/earth/ViennaModelCoefficientsLoader.java
@@ -0,0 +1,351 @@
+/* Copyright 2002-2019 CS Systèmes d'Information
+ * Licensed to CS Systèmes d'Information (CS) under one or more
+ * contributor license agreements. See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * CS licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License. You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.orekit.models.earth;
+
+import java.io.BufferedReader;
+import java.io.IOException;
+import java.io.InputStream;
+import java.io.InputStreamReader;
+import java.text.ParseException;
+import java.util.ArrayList;
+
+import org.hipparchus.analysis.interpolation.BilinearInterpolatingFunction;
+import org.hipparchus.util.FastMath;
+import org.hipparchus.util.MathUtils;
+import org.orekit.data.DataLoader;
+import org.orekit.data.DataProvidersManager;
+import org.orekit.errors.OrekitException;
+import org.orekit.errors.OrekitMessages;
+import org.orekit.time.DateTimeComponents;
+
+/** Loads Vienna tropospheric coefficients a given input stream.
+ * A stream contains, for a given day and a given hour, the hydrostatic and wet zenith delays
+ * and the ah and aw coefficients used for the computation of the mapping function.
+ * The coefficients are given with a time interval of 6 hours.
+ * <p>
+ * A bilinear interpolation is performed the case of the user initialize the latitude and the
+ * longitude with values that are not contained in the stream.
+ * </p>
+ * <p>
+ * The coefficients are obtained from <a href="http://vmf.geo.tuwien.ac.at/trop_products/GRID/">Vienna Mapping Functions Open Access Data</a>.
+ * Find more on the files at the <a href="http://vmf.geo.tuwien.ac.at/readme.txt">VMF Model Documentation</a>.
+ * <p>
+ * The files have to be extracted to UTF-8 text files before being read by this loader.
+ * <p>
+ * After extraction, it is assumed they are named VMFG_YYYYMMDD.Hhh for {@link ViennaOneModel} and VMF3_YYYYMMDD.Hhh {@link ViennaThreeModel}.
+ * Where YYYY is the 4-digits year, MM the month, DD the day and hh the 2-digits hour.
+ *
+ * <p>
+ * The format is always the same, with and example shown below for VMF1 model.
+ * <p>
+ * Example:
+ * </p>
+ * <pre>
+ * ! Version: 1.0
+ * ! Source: J. Boehm, TU Vienna (created: 2018-11-20)
+ * ! Data_types: VMF1 (lat lon ah aw zhd zwd)
+ * ! Epoch: 2018 11 19 18 00 0.0
+ * ! Scale_factor: 1.e+00
+ * ! Range/resolution: -90 90 0 360 2 2.5
+ * ! Comment: http://vmf.geo.tuwien.ac.at/trop_products/GRID/2.5x2/VMF1/VMF1_OP/
+ * 90.0 0.0 0.00116059 0.00055318 2.3043 0.0096
+ * 90.0 2.5 0.00116059 0.00055318 2.3043 0.0096
+ * 90.0 5.0 0.00116059 0.00055318 2.3043 0.0096
+ * 90.0 7.5 0.00116059 0.00055318 2.3043 0.0096
+ * 90.0 10.0 0.00116059 0.00055318 2.3043 0.0096
+ * 90.0 12.5 0.00116059 0.00055318 2.3043 0.0096
+ * 90.0 15.0 0.00116059 0.00055318 2.3043 0.0096
+ * 90.0 17.5 0.00116059 0.00055318 2.3043 0.0096
+ * 90.0 20.0 0.00116059 0.00055318 2.3043 0.0096
+ * 90.0 22.5 0.00116059 0.00055318 2.3043 0.0096
+ * 90.0 25.0 0.00116059 0.00055318 2.3043 0.0096
+ * 90.0 27.5 0.00116059 0.00055318 2.3043 0.0096
+ * </pre>
+ * @author Bryan Cazabonne
+ */
+public class ViennaModelCoefficientsLoader implements DataLoader {
+
+ /** Default supported files name pattern. */
+ public static final String DEFAULT_SUPPORTED_NAMES = "VMF*_\\\\*\\*\\.*H$";
+
+ /** Regular expression for supported file name. */
+ private String supportedNames;
+
+ /** The hydrostatic and wet a coefficients loaded. */
+ private double[] coefficientsA;
+
+ /** The hydrostatic and wet zenith delays loaded. */
+ private double[] zenithDelay;
+
+ /** Geodetic site latitude, radians.*/
+ private double latitude;
+
+ /** Geodetic site longitude, radians.*/
+ private double longitude;
+
+ /** Vienna tropospheric model type.*/
+ private ViennaModelType type;
+
+ /** Constructor with supported names given by user.
+ * @param supportedNames Supported names
+ * @param latitude geodetic latitude of the station, in radians
+ * @param longitude geodetic latitude of the station, in radians
+ * @param type the type of Vienna tropospheric model (one or three)
+ */
+ public ViennaModelCoefficientsLoader(final String supportedNames, final double latitude,
+ final double longitude, final ViennaModelType type) {
+ this.coefficientsA = null;
+ this.zenithDelay = null;
+ this.supportedNames = supportedNames;
+ this.type = type;
+ this.latitude = latitude;
+
+ // Normalize longitude between 0 and 2π
+ this.longitude = MathUtils.normalizeAngle(longitude, FastMath.PI);
+
+ }
+
+ /** Constructor with default supported names.
+ * @param latitude geodetic latitude of the station, in radians
+ * @param longitude geodetic latitude of the station, in radians
+ * @param type the type of Vienna tropospheric model (one or three)
+ */
+ public ViennaModelCoefficientsLoader(final double latitude, final double longitude,
+ final ViennaModelType type) {
+ this(DEFAULT_SUPPORTED_NAMES, latitude, longitude, type);
+ }
+
+ /** Returns the a coefficients array.
+ * <ul>
+ * <li>double[0] = a<sub>h</sub>
+ * <li>double[1] = a<sub>w</sub>
+ * </ul>
+ * @return the a coefficients array
+ */
+ public double[] getA() {
+ return coefficientsA.clone();
+ }
+
+ /** Returns the zenith delay array.
+ * <ul>
+ * <li>double[0] = D<sub>hz</sub> -> zenith hydrostatic delay
+ * <li>double[1] = D<sub>wz</sub> -> zenith wet delay
+ * </ul>
+ * @return the zenith delay array
+ */
+ public double[] getZenithDelay() {
+ return zenithDelay.clone();
+ }
+
+ /** Returns the supported names of the loader.
+ * @return the supported names
+ */
+ public String getSupportedNames() {
+ return supportedNames;
+ }
+
+ /** Load the data using supported names .
+ */
+ public void loadViennaCoefficients() {
+ DataProvidersManager.getInstance().feed(supportedNames, this);
+
+ // Throw an exception if ah, ah, zh or zw were not loaded properly
+ if (coefficientsA == null || zenithDelay == null) {
+ throw new OrekitException(OrekitMessages.VIENNA_ACOEF_OR_ZENITH_DELAY_NOT_LOADED, supportedNames);
+ }
+ }
+
+ /** Load the data for a given day.
+ * @param dateTimeComponents date and time component.
+ * @throws OrekitException if the coefficients could not be loaded
+ */
+ public void loadViennaCoefficients(final DateTimeComponents dateTimeComponents) {
+
+ // The files are named VMFG_YYYYMMDD.Hhh for Vienna-1 model and VMF3_YYYYMMDD.Hhh for Vienna-3 model.
+ // Where YYYY is the 4-digits year, MM the month, DD the day of the month and hh the 2-digits hour.
+ // Coefficients are only available for hh = 00 or 06 or 12 or 18.
+ final int year = dateTimeComponents.getDate().getYear();
+ final int month = dateTimeComponents.getDate().getMonth();
+ final int day = dateTimeComponents.getDate().getDay();
+ final int hour = dateTimeComponents.getTime().getHour();
+
+ // Correct month format is with 2-digits.
+ final String monthString;
+ if (month < 10) {
+ monthString = "0" + String.valueOf(month);
+ } else {
+ monthString = String.valueOf(month);
+ }
+
+ // Correct day format is with 2-digits.
+ final String dayString;
+ if (day < 10) {
+ dayString = "0" + String.valueOf(day);
+ } else {
+ dayString = String.valueOf(day);
+ }
+
+ // Correct hour format is with 2-digits.
+ final String hourString;
+ if (hour < 10) {
+ hourString = "0" + String.valueOf(hour);
+ } else {
+ hourString = String.valueOf(hour);
+ }
+
+ // Name of the file is different between VMF1 and VMF3.
+ // For VMF1 it starts with "VMFG" whereas with VMF3 it starts with "VMF3"
+ switch (type) {
+ case VIENNA_ONE:
+ this.supportedNames = String.format("VMFG_%04d%2s%2s.H%2s", year, monthString, dayString, hourString);
+ break;
+ case VIENNA_THREE:
+ this.supportedNames = String.format("VMF3_%04d%2s%2s.H%2s", year, monthString, dayString, hourString);
+ break;
+ default:
+ break;
+ }
+
+ try {
+ this.loadViennaCoefficients();
+ } catch (OrekitException oe) {
+ throw new OrekitException(oe,
+ OrekitMessages.VIENNA_ACOEF_OR_ZENITH_DELAY_NOT_AVAILABLE_FOR_DATE,
+ dateTimeComponents.toString());
+ }
+ }
+
+ @Override
+ public boolean stillAcceptsData() {
+ return true;
+ }
+
+ @Override
+ public void loadData(final InputStream input, final String name)
+ throws IOException, ParseException {
+
+ // Open stream and parse data
+ final BufferedReader br = new BufferedReader(new InputStreamReader(input, "UTF-8"));
+ int lineNumber = 0;
+ final String splitter = "\\s+";
+
+ // Initialize Lists
+ final ArrayList<Double> latitudes = new ArrayList<>();
+ final ArrayList<Double> longitudes = new ArrayList<>();
+ final ArrayList<Double> ah = new ArrayList<>();
+ final ArrayList<Double> aw = new ArrayList<>();
+ final ArrayList<Double> zhd = new ArrayList<>();
+ final ArrayList<Double> zwd = new ArrayList<>();
+
+ for (String line = br.readLine(); line != null; line = br.readLine()) {
+ ++lineNumber;
+ line = line.trim();
+
+ try {
+ // Fill latitudes and longitudes lists
+ if (line.length() > 0 && line.startsWith("! Range/resolution:")) {
+ final String[] range_line = line.split(splitter);
+
+ // Latitudes list
+ for (double lat = Double.valueOf(range_line[2]); lat <= Double.valueOf(range_line[3]); lat = lat + Double.valueOf(range_line[6])) {
+ latitudes.add(FastMath.toRadians(lat));
+ }
+
+ // Longitude list
+ for (double lon = Double.valueOf(range_line[4]); lon <= Double.valueOf(range_line[5]); lon = lon + Double.valueOf(range_line[7])) {
+ longitudes.add(FastMath.toRadians(lon));
+ // For VFM1 files, header specify that longitudes end at 360°
+ // In reality they end at 357.5°. That is why we stop the loop when the longitude
+ // reaches 357.5°.
+ if (type == ViennaModelType.VIENNA_ONE && lon >= 357.5) {
+ break;
+ }
+ }
+ }
+
+ // Fill ah, aw, zhd and zwd lists
+ if (line.length() > 0 && !line.startsWith("!")) {
+ final String[] values_line = line.split(splitter);
+ ah.add(Double.valueOf(values_line[2]));
+ aw.add(Double.valueOf(values_line[3]));
+ zhd.add(Double.valueOf(values_line[4]));
+ zwd.add(Double.valueOf(values_line[5]));
+ }
+
+ } catch (NumberFormatException nfe) {
+ throw new OrekitException(OrekitMessages.UNABLE_TO_PARSE_LINE_IN_FILE,
+ lineNumber, name, line);
+ }
+
+ }
+
+ // Close the stream after reading
+ input.close();
+
+ final int dimLat = latitudes.size();
+ final int dimLon = longitudes.size();
+
+ // Change Lists to Arrays
+ final double[] xVal = new double[dimLat];
+ for (int i = 0; i < dimLat; i++) {
+ xVal[i] = latitudes.get(i);
+ }
+
+ final double[] yVal = new double[dimLon];
+ for (int j = 0; j < dimLon; j++) {
+ yVal[j] = longitudes.get(j);
+ }
+
+ final double[][] fvalAH = new double[dimLat][dimLon];
+ final double[][] fvalAW = new double[dimLat][dimLon];
+ final double[][] fvalZH = new double[dimLat][dimLon];
+ final double[][] fvalZW = new double[dimLat][dimLon];
+
+ int index = dimLon * dimLat;
+ for (int x = 0; x < dimLat; x++) {
+ for (int y = dimLon - 1; y >= 0; y--) {
+ index = index - 1;
+ fvalAH[x][y] = ah.get(index);
+ fvalAW[x][y] = aw.get(index);
+ fvalZH[x][y] = zhd.get(index);
+ fvalZW[x][y] = zwd.get(index);
+ }
+ }
+
+ // Build Bilinear Interpolation Functions
+ final BilinearInterpolatingFunction functionAH = new BilinearInterpolatingFunction(xVal, yVal, fvalAH);
+ final BilinearInterpolatingFunction functionAW = new BilinearInterpolatingFunction(xVal, yVal, fvalAW);
+ final BilinearInterpolatingFunction functionZH = new BilinearInterpolatingFunction(xVal, yVal, fvalZH);
+ final BilinearInterpolatingFunction functionZW = new BilinearInterpolatingFunction(xVal, yVal, fvalZW);
+
+ coefficientsA = new double[2];
+ zenithDelay = new double[2];
+
+ // Get the values for the given latitude and longitude
+ coefficientsA[0] = functionAH.value(latitude, longitude);
+ coefficientsA[1] = functionAW.value(latitude, longitude);
+ zenithDelay[0] = functionZH.value(latitude, longitude);
+ zenithDelay[1] = functionZW.value(latitude, longitude);
+
+ // Check that ah, aw, zh and zw were found
+ if (coefficientsA == null || zenithDelay == null) {
+ throw new OrekitException(OrekitMessages.NO_VIENNA_ACOEF_OR_ZENITH_DELAY_IN_FILE, name);
+ }
+
+ }
+
+}
diff --git a/src/main/java/org/orekit/models/earth/ViennaModelType.java b/src/main/java/org/orekit/models/earth/ViennaModelType.java
new file mode 100644
index 0000000000000000000000000000000000000000..3bf9f32dcb218acc46f1594ce807e748f030b816
--- /dev/null
+++ b/src/main/java/org/orekit/models/earth/ViennaModelType.java
@@ -0,0 +1,33 @@
+/* Copyright 2002-2019 CS Systèmes d'Information
+ * Licensed to CS Systèmes d'Information (CS) under one or more
+ * contributor license agreements. See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * CS licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License. You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.orekit.models.earth;
+
+/** Enumerate for Vienna tropospheric model 1 and 3.
+ * This enumerate is used for the coefficients loader.
+ * @see ViennaOneModel
+ * @see ViennaThreeModel
+ * @author Bryan Cazabonne
+ */
+public enum ViennaModelType {
+
+ /** Vienna one tropospheric model. */
+ VIENNA_ONE,
+
+ /** Vienna three tropospheric model. */
+ VIENNA_THREE;
+
+}
diff --git a/src/main/java/org/orekit/models/earth/ViennaOneModel.java b/src/main/java/org/orekit/models/earth/ViennaOneModel.java
new file mode 100644
index 0000000000000000000000000000000000000000..fe1a14a878aa0433aece29a9156b565119600c5c
--- /dev/null
+++ b/src/main/java/org/orekit/models/earth/ViennaOneModel.java
@@ -0,0 +1,316 @@
+/* Copyright 2002-2019 CS Systèmes d'Information
+ * Licensed to CS Systèmes d'Information (CS) under one or more
+ * contributor license agreements. See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * CS licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License. You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.orekit.models.earth;
+
+import java.util.Collections;
+import java.util.List;
+
+import org.hipparchus.Field;
+import org.hipparchus.RealFieldElement;
+import org.hipparchus.util.FastMath;
+import org.hipparchus.util.MathArrays;
+import org.orekit.time.AbsoluteDate;
+import org.orekit.time.DateTimeComponents;
+import org.orekit.time.FieldAbsoluteDate;
+import org.orekit.time.TimeScalesFactory;
+import org.orekit.utils.ParameterDriver;
+
+/** The Vienna1 tropospheric delay model for radio techniques.
+ * The Vienna model data are given with a time interval of 6 hours
+ * as well as on a global 2.5° * 2.0° grid.
+ *
+ * This version considered the height correction for the hydrostatic part
+ * developed by Niell, 1996.
+ *
+ * @see Boehm, J., Werl, B., and Schuh, H., (2006),
+ * "Troposhere mapping functions for GPS and very long baseline
+ * interferometry from European Centre for Medium-Range Weather
+ * Forecasts operational analysis data," J. Geophy. Res., Vol. 111,
+ * B02406, doi:10.1029/2005JB003629
+ *
+ * @author Bryan Cazabonne
+ */
+public class ViennaOneModel implements DiscreteTroposphericModel {
+
+ /** Serializable UID. */
+ private static final long serialVersionUID = 2584920506094034855L;
+
+ /** The a coefficient for the computation of the wet and hydrostatic mapping functions.*/
+ private final double[] coefficientsA;
+
+ /** Values of hydrostatic and wet delays as provided by the Vienna model. */
+ private final double[] zenithDelay;
+
+ /** Geodetic site latitude, radians.*/
+ private final double latitude;
+
+ /** Build a new instance.
+ * @param coefficientA The a coefficients for the computation of the wet and hydrostatic mapping functions.
+ * @param zenithDelay Values of hydrostatic and wet delays
+ * @param latitude geodetic latitude of the station, in radians
+ */
+ public ViennaOneModel(final double[] coefficientA, final double[] zenithDelay,
+ final double latitude) {
+ this.coefficientsA = coefficientA.clone();
+ this.zenithDelay = zenithDelay.clone();
+ this.latitude = latitude;
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public double pathDelay(final double elevation, final double height,
+ final double[] parameters, final AbsoluteDate date) {
+ // zenith delay
+ final double[] delays = computeZenithDelay(height, parameters, date);
+ // mapping function
+ final double[] mappingFunction = mappingFactors(elevation, height, parameters, date);
+ // Tropospheric path delay
+ return delays[0] * mappingFunction[0] + delays[1] * mappingFunction[1];
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public <T extends RealFieldElement<T>> T pathDelay(final T elevation, final T height,
+ final T[] parameters, final FieldAbsoluteDate<T> date) {
+ // zenith delay
+ final T[] delays = computeZenithDelay(height, parameters, date);
+ // mapping function
+ final T[] mappingFunction = mappingFactors(elevation, height, parameters, date);
+ // Tropospheric path delay
+ return delays[0].multiply(mappingFunction[0]).add(delays[1].multiply(mappingFunction[1]));
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public double[] computeZenithDelay(final double height, final double[] parameters, final AbsoluteDate date) {
+ return zenithDelay;
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public <T extends RealFieldElement<T>> T[] computeZenithDelay(final T height, final T[] parameters,
+ final FieldAbsoluteDate<T> date) {
+ final Field<T> field = height.getField();
+ final T zero = field.getZero();
+ final T[] delays = MathArrays.buildArray(field, 2);
+ delays[0] = zero.add(zenithDelay[0]);
+ delays[1] = zero.add(zenithDelay[1]);
+ return delays;
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public double[] mappingFactors(final double elevation, final double height,
+ final double[] parameters, final AbsoluteDate date) {
+ // Day of year computation
+ final DateTimeComponents dtc = date.getComponents(TimeScalesFactory.getUTC());
+ final int dofyear = dtc.getDate().getDayOfYear();
+
+ // General constants | Hydrostatic part
+ final double bh = 0.0029;
+ final double c0h = 0.062;
+ final double c10h;
+ final double c11h;
+ final double psi;
+
+ // sin(latitude) > 0 -> northern hemisphere
+ if (FastMath.sin(latitude) > 0) {
+ c10h = 0.001;
+ c11h = 0.005;
+ psi = 0;
+ } else {
+ c10h = 0.002;
+ c11h = 0.007;
+ psi = FastMath.PI;
+ }
+
+ // Temporal factor
+ double t0 = 28;
+ if (latitude < 0) {
+ // southern hemisphere: t0 = 28 + an integer half of year
+ t0 += 183;
+ }
+ // Compute hydrostatique coefficient c
+ final double coef = ((dofyear - t0) / 365) * 2 * FastMath.PI + psi;
+ final double ch = c0h + ((FastMath.cos(coef) + 1) * (c11h / 2) + c10h) * (1 - FastMath.cos(latitude));
+
+ // General constants | Wet part
+ final double bw = 0.00146;
+ final double cw = 0.04391;
+
+ final double[] function = new double[2];
+ function[0] = computeFunction(coefficientsA[0], bh, ch, elevation);
+ function[1] = computeFunction(coefficientsA[1], bw, cw, elevation);
+
+ // Apply height correction
+ final double correction = computeHeightCorrection(elevation, height);
+ function[0] = function[0] + correction;
+
+ return function;
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public <T extends RealFieldElement<T>> T[] mappingFactors(final T elevation, final T height,
+ final T[] parameters, final FieldAbsoluteDate<T> date) {
+ final Field<T> field = date.getField();
+ final T zero = field.getZero();
+
+ // Day of year computation
+ final DateTimeComponents dtc = date.getComponents(TimeScalesFactory.getUTC());
+ final int dofyear = dtc.getDate().getDayOfYear();
+
+ // General constants | Hydrostatic part
+ final T bh = zero.add(0.0029);
+ final T c0h = zero.add(0.062);
+ final T c10h;
+ final T c11h;
+ final T psi;
+
+ // sin(latitude) > 0 -> northern hemisphere
+ if (FastMath.sin(latitude) > 0) {
+ c10h = zero.add(0.001);
+ c11h = zero.add(0.005);
+ psi = zero;
+ } else {
+ c10h = zero.add(0.002);
+ c11h = zero.add(0.007);
+ psi = zero.add(FastMath.PI);
+ }
+
+ // Compute hydrostatique coefficient c
+ // Temporal factor
+ double t0 = 28;
+ if (latitude < 0) {
+ // southern hemisphere: t0 = 28 + an integer half of year
+ t0 += 183;
+ }
+ final T coef = psi.add(((dofyear - t0) / 365) * 2 * FastMath.PI);
+ final T ch = c11h.divide(2.0).multiply(FastMath.cos(coef).add(1.0)).add(c10h).multiply(1 - FastMath.cos(latitude)).add(c0h);
+
+ // General constants | Wet part
+ final T bw = zero.add(0.00146);
+ final T cw = zero.add(0.04391);
+
+ final T[] function = MathArrays.buildArray(field, 2);
+ function[0] = computeFunction(zero.add(coefficientsA[0]), bh, ch, elevation);
+ function[1] = computeFunction(zero.add(coefficientsA[1]), bw, cw, elevation);
+
+ // Apply height correction
+ final T correction = computeHeightCorrection(elevation, height, field);
+ function[0] = function[0].add(correction);
+
+ return function;
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public List<ParameterDriver> getParametersDrivers() {
+ return Collections.emptyList();
+ }
+
+ /** Compute the mapping function related to the coefficient values and the elevation.
+ * @param a a coefficient
+ * @param b b coefficient
+ * @param c c coefficient
+ * @param elevation the elevation of the satellite, in radians.
+ * @return the value of the function at a given elevation
+ */
+ private double computeFunction(final double a, final double b, final double c, final double elevation) {
+ final double sinE = FastMath.sin(elevation);
+ // Numerator
+ final double numMP = 1 + a / (1 + b / (1 + c));
+ // Denominator
+ final double denMP = sinE + a / (sinE + b / (sinE + c));
+
+ final double felevation = numMP / denMP;
+
+ return felevation;
+ }
+
+ /** Compute the mapping function related to the coefficient values and the elevation.
+ * @param <T> type of the elements
+ * @param a a coefficient
+ * @param b b coefficient
+ * @param c c coefficient
+ * @param elevation the elevation of the satellite, in radians.
+ * @return the value of the function at a given elevation
+ */
+ private <T extends RealFieldElement<T>> T computeFunction(final T a, final T b, final T c, final T elevation) {
+ final T sinE = FastMath.sin(elevation);
+ // Numerator
+ final T numMP = a.divide(b.divide(c.add(1.0)).add(1.0)).add(1.0);
+ // Denominator
+ final T denMP = a.divide(b.divide(c.add(sinE)).add(sinE)).add(sinE);
+
+ final T felevation = numMP.divide(denMP);
+
+ return felevation;
+ }
+
+ /** This method computes the height correction for the hydrostatic
+ * component of the mapping function.
+ * The formulas are given by Neill's paper, 1996:
+ *<p>
+ * Niell A. E. (1996)
+ * "Global mapping functions for the atmosphere delay of radio wavelengths,”
+ * J. Geophys. Res., 101(B2), pp. 3227–3246, doi: 10.1029/95JB03048.
+ *</p>
+ * @param elevation the elevation of the satellite, in radians.
+ * @param height the height of the station in m above sea level.
+ * @return the height correction, in m
+ */
+ private double computeHeightCorrection(final double elevation, final double height) {
+ final double fixedHeight = FastMath.max(0.0, height);
+ final double sinE = FastMath.sin(elevation);
+ // Ref: Eq. 4
+ final double function = computeFunction(2.53e-5, 5.49e-3, 1.14e-3, elevation);
+ // Ref: Eq. 6
+ final double dmdh = (1 / sinE) - function;
+ // Ref: Eq. 7
+ final double correction = dmdh * (fixedHeight / 1000);
+ return correction;
+ }
+
+ /** This method computes the height correction for the hydrostatic
+ * component of the mapping function.
+ * The formulas are given by Neill's paper, 1996:
+ *<p>
+ * Niell A. E. (1996)
+ * "Global mapping functions for the atmosphere delay of radio wavelengths,”
+ * J. Geophys. Res., 101(B2), pp. 3227–3246, doi: 10.1029/95JB03048.
+ *</p>
+ * @param <T> type of the elements
+ * @param elevation the elevation of the satellite, in radians.
+ * @param height the height of the station in m above sea level.
+ * @param field field to which the elements belong
+ * @return the height correction, in m
+ */
+ private <T extends RealFieldElement<T>> T computeHeightCorrection(final T elevation, final T height, final Field<T> field) {
+ final T zero = field.getZero();
+ final T fixedHeight = FastMath.max(zero, height);
+ final T sinE = FastMath.sin(elevation);
+ // Ref: Eq. 4
+ final T function = computeFunction(zero.add(2.53e-5), zero.add(5.49e-3), zero.add(1.14e-3), elevation);
+ // Ref: Eq. 6
+ final T dmdh = sinE.reciprocal().subtract(function);
+ // Ref: Eq. 7
+ final T correction = dmdh.multiply(fixedHeight.divide(1000.0));
+ return correction;
+ }
+
+}
diff --git a/src/main/java/org/orekit/models/earth/ViennaThreeModel.java b/src/main/java/org/orekit/models/earth/ViennaThreeModel.java
new file mode 100644
index 0000000000000000000000000000000000000000..97741f3a70e4917d8726ec972618f8bc13acef11
--- /dev/null
+++ b/src/main/java/org/orekit/models/earth/ViennaThreeModel.java
@@ -0,0 +1,1285 @@
+/* Copyright 2002-2019 CS Systèmes d'Information
+ * Licensed to CS Systèmes d'Information (CS) under one or more
+ * contributor license agreements. See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * CS licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License. You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.orekit.models.earth;
+
+import java.util.Collections;
+import java.util.List;
+
+import org.hipparchus.Field;
+import org.hipparchus.RealFieldElement;
+import org.hipparchus.util.CombinatoricsUtils;
+import org.hipparchus.util.FastMath;
+import org.hipparchus.util.MathArrays;
+import org.orekit.time.AbsoluteDate;
+import org.orekit.time.DateTimeComponents;
+import org.orekit.time.FieldAbsoluteDate;
+import org.orekit.time.TimeScalesFactory;
+import org.orekit.utils.ParameterDriver;
+
+/** The Vienna3 tropospheric delay model for radio techniques.
+ * The Vienna model data are given with a time interval of 6 hours.
+ * <p>
+ * The empirical coefficients b<sub>h</sub>, b<sub>w</sub>, c<sub>h</sub>
+ * and c<sub>w</sub> are computed with spherical harmonics.
+ * In that respect, they are considerably more advanced than those of
+ * {@link ViennaOneModel VMF1} model.
+ * </p>
+ *
+ * @see Landskron, D. & Böhm, J. J Geod (2018)
+ * VMF3/GPT3: refined discrete and empirical troposphere mapping functions
+ * 92: 349. https://doi.org/10.1007/s00190-017-1066-2
+ *
+ * @see <p> Landskron D (2017) Modeling tropospheric delays for space geodetic
+ * techniques. Dissertation, Department of Geodesy and Geoinformation, TU Wien, Supervisor: J. Böhm.
+ * http://repositum.tuwien.ac.at/urn:nbn:at:at-ubtuw:1-100249 </p>
+ *
+ * @author Bryan Cazabonne
+ */
+public class ViennaThreeModel implements DiscreteTroposphericModel {
+
+ /** Serializable UID. */
+ private static final long serialVersionUID = -7036859378575760764L;
+
+ /** The a coefficient for the computation of the wet and hydrostatic mapping functions.*/
+ private final double[] coefficientsA;
+
+ /** Values of hydrostatic and wet delays as provided by the Vienna model. */
+ private final double[] zenithDelay;
+
+ /** Geodetic site latitude, radians.*/
+ private final double latitude;
+
+ /** Geodetic site longitude, radians.*/
+ private final double longitude;
+
+ /** Build a new instance.
+ * @param coefficientA The a coefficients for the computation of the wet and hydrostatic mapping functions.
+ * @param zenithDelay Values of hydrostatic and wet delays
+ * @param latitude geodetic latitude of the station, in radians
+ * @param longitude geodetic latitude of the station, in radians
+ */
+ public ViennaThreeModel(final double[] coefficientA, final double[] zenithDelay,
+ final double latitude, final double longitude) {
+ this.coefficientsA = coefficientA.clone();
+ this.zenithDelay = zenithDelay.clone();
+ this.latitude = latitude;
+ this.longitude = longitude;
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public double[] mappingFactors(final double elevation, final double height,
+ final double[] parameters, final AbsoluteDate date) {
+ // Day of year computation
+ final DateTimeComponents dtc = date.getComponents(TimeScalesFactory.getUTC());
+ final int dofyear = dtc.getDate().getDayOfYear();
+
+ // Compute Legendre Polynomials Pnm(cos(0.5 * pi - phi))
+ final int degree = 12;
+ final int order = 12;
+ final LegendrePolynomials p = new LegendrePolynomials(degree, order);
+
+ // Compute coefficients bh, bw, ch and cw with spherical harmonics
+ double a0Bh = 0.;
+ double a0Bw = 0.;
+ double a0Ch = 0.;
+ double a0Cw = 0.;
+ double a1Bh = 0.;
+ double a1Bw = 0.;
+ double a1Ch = 0.;
+ double a1Cw = 0.;
+ double b1Bh = 0.;
+ double b1Bw = 0.;
+ double b1Ch = 0.;
+ double b1Cw = 0.;
+ double a2Bh = 0.;
+ double a2Bw = 0.;
+ double a2Ch = 0.;
+ double a2Cw = 0.;
+ double b2Bh = 0.;
+ double b2Bw = 0.;
+ double b2Ch = 0.;
+ double b2Cw = 0.;
+ final LegendreFunctions AnmBnm = new LegendreFunctions();
+ int j = 0;
+ for (int n = 0; n <= 12; n++) {
+ for (int m = 0; m <= n; m++) {
+ final double pCosmLambda = p.getPnm(n, m) * FastMath.cos(m * longitude);
+ final double pSinmLambda = p.getPnm(n, m) * FastMath.sin(m * longitude);
+
+ a0Bh = a0Bh + (AnmBnm.getAnmBh(j, 0) * pCosmLambda + AnmBnm.getBnmBh(j, 0) * pSinmLambda);
+ a0Bw = a0Bw + (AnmBnm.getAnmBw(j, 0) * pCosmLambda + AnmBnm.getBnmBw(j, 0) * pSinmLambda);
+ a0Ch = a0Ch + (AnmBnm.getAnmCh(j, 0) * pCosmLambda + AnmBnm.getBnmCh(j, 0) * pSinmLambda);
+ a0Cw = a0Cw + (AnmBnm.getAnmCw(j, 0) * pCosmLambda + AnmBnm.getBnmCw(j, 0) * pSinmLambda);
+
+ a1Bh = a1Bh + (AnmBnm.getAnmBh(j, 1) * pCosmLambda + AnmBnm.getBnmBh(j, 1) * pSinmLambda);
+ a1Bw = a1Bw + (AnmBnm.getAnmBw(j, 1) * pCosmLambda + AnmBnm.getBnmBw(j, 1) * pSinmLambda);
+ a1Ch = a1Ch + (AnmBnm.getAnmCh(j, 1) * pCosmLambda + AnmBnm.getBnmCh(j, 1) * pSinmLambda);
+ a1Cw = a1Cw + (AnmBnm.getAnmCw(j, 1) * pCosmLambda + AnmBnm.getBnmCw(j, 1) * pSinmLambda);
+
+ b1Bh = b1Bh + (AnmBnm.getAnmBh(j, 2) * pCosmLambda + AnmBnm.getBnmBh(j, 2) * pSinmLambda);
+ b1Bw = b1Bw + (AnmBnm.getAnmBw(j, 2) * pCosmLambda + AnmBnm.getBnmBw(j, 2) * pSinmLambda);
+ b1Ch = b1Ch + (AnmBnm.getAnmCh(j, 2) * pCosmLambda + AnmBnm.getBnmCh(j, 2) * pSinmLambda);
+ b1Cw = b1Cw + (AnmBnm.getAnmCw(j, 2) * pCosmLambda + AnmBnm.getBnmCw(j, 2) * pSinmLambda);
+
+ a2Bh = a2Bh + (AnmBnm.getAnmBh(j, 3) * pCosmLambda + AnmBnm.getBnmBh(j, 3) * pSinmLambda);
+ a2Bw = a2Bw + (AnmBnm.getAnmBw(j, 3) * pCosmLambda + AnmBnm.getBnmBw(j, 3) * pSinmLambda);
+ a2Ch = a2Ch + (AnmBnm.getAnmCh(j, 3) * pCosmLambda + AnmBnm.getBnmCh(j, 3) * pSinmLambda);
+ a2Cw = a2Cw + (AnmBnm.getAnmCw(j, 3) * pCosmLambda + AnmBnm.getBnmCw(j, 3) * pSinmLambda);
+
+ b2Bh = b2Bh + (AnmBnm.getAnmBh(j, 4) * pCosmLambda + AnmBnm.getBnmBh(j, 4) * pSinmLambda);
+ b2Bw = b2Bw + (AnmBnm.getAnmBw(j, 4) * pCosmLambda + AnmBnm.getBnmBw(j, 4) * pSinmLambda);
+ b2Ch = b2Ch + (AnmBnm.getAnmCh(j, 4) * pCosmLambda + AnmBnm.getBnmCh(j, 4) * pSinmLambda);
+ b2Cw = b2Cw + (AnmBnm.getAnmCw(j, 4) * pCosmLambda + AnmBnm.getBnmCw(j, 4) * pSinmLambda);
+
+ j = j + 1;
+ }
+ }
+
+ // Eq. 6
+ final double bh = computeSeasonalFit(dofyear, a0Bh, a1Bh, a2Bh, b1Bh, b2Bh);
+ final double bw = computeSeasonalFit(dofyear, a0Bw, a1Bw, a2Bw, b1Bw, b2Bw);
+ final double ch = computeSeasonalFit(dofyear, a0Ch, a1Ch, a2Ch, b1Ch, b2Ch);
+ final double cw = computeSeasonalFit(dofyear, a0Cw, a1Cw, a2Cw, b1Cw, b2Cw);
+
+ // Compute Mapping Function Eq. 4
+ final double[] function = new double[2];
+ function[0] = computeFunction(coefficientsA[0], bh, ch, elevation);
+ function[1] = computeFunction(coefficientsA[1], bw, cw, elevation);
+
+ return function;
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public <T extends RealFieldElement<T>> T[] mappingFactors(final T elevation, final T height,
+ final T[] parameters, final FieldAbsoluteDate<T> date) {
+ final Field<T> field = height.getField();
+ final T zero = field.getZero();
+
+ // Day of year computation
+ final DateTimeComponents dtc = date.getComponents(TimeScalesFactory.getUTC());
+ final int dofyear = dtc.getDate().getDayOfYear();
+
+ // Compute Legendre Polynomials Pnm(cos(0.5 * pi - phi))
+ final int degree = 12;
+ final int order = 12;
+ final LegendrePolynomials p = new LegendrePolynomials(degree, order);
+
+ // Compute coefficients bh, bw, ch and cw with spherical harmonics
+ T a0Bh = zero;
+ T a0Bw = zero;
+ T a0Ch = zero;
+ T a0Cw = zero;
+ T a1Bh = zero;
+ T a1Bw = zero;
+ T a1Ch = zero;
+ T a1Cw = zero;
+ T b1Bh = zero;
+ T b1Bw = zero;
+ T b1Ch = zero;
+ T b1Cw = zero;
+ T a2Bh = zero;
+ T a2Bw = zero;
+ T a2Ch = zero;
+ T a2Cw = zero;
+ T b2Bh = zero;
+ T b2Bw = zero;
+ T b2Ch = zero;
+ T b2Cw = zero;
+ final LegendreFunctions AnmBnm = new LegendreFunctions();
+ int j = 0;
+ for (int n = 0; n <= 12; n++) {
+ for (int m = 0; m <= n; m++) {
+ final T pCosmLambda = zero.add(p.getPnm(n, m) * FastMath.cos(m * longitude));
+ final T pSinmLambda = zero.add(p.getPnm(n, m) * FastMath.sin(m * longitude));
+
+ a0Bh = a0Bh.add(pCosmLambda.multiply(AnmBnm.getAnmBh(j, 0)).add(pSinmLambda.multiply(AnmBnm.getBnmBh(j, 0))));
+ a0Bw = a0Bw.add(pCosmLambda.multiply(AnmBnm.getAnmBw(j, 0)).add(pSinmLambda.multiply(AnmBnm.getBnmBw(j, 0))));
+ a0Ch = a0Ch.add(pCosmLambda.multiply(AnmBnm.getAnmCh(j, 0)).add(pSinmLambda.multiply(AnmBnm.getBnmCh(j, 0))));
+ a0Cw = a0Cw.add(pCosmLambda.multiply(AnmBnm.getAnmCw(j, 0)).add(pSinmLambda.multiply(AnmBnm.getBnmCw(j, 0))));
+
+ a1Bh = a1Bh.add(pCosmLambda.multiply(AnmBnm.getAnmBh(j, 1)).add(pSinmLambda.multiply(AnmBnm.getBnmBh(j, 1))));
+ a1Bw = a1Bw.add(pCosmLambda.multiply(AnmBnm.getAnmBw(j, 1)).add(pSinmLambda.multiply(AnmBnm.getBnmBw(j, 1))));
+ a1Ch = a1Ch.add(pCosmLambda.multiply(AnmBnm.getAnmCh(j, 1)).add(pSinmLambda.multiply(AnmBnm.getBnmCh(j, 1))));
+ a1Cw = a1Cw.add(pCosmLambda.multiply(AnmBnm.getAnmCw(j, 1)).add(pSinmLambda.multiply(AnmBnm.getBnmCw(j, 1))));
+
+ b1Bh = b1Bh.add(pCosmLambda.multiply(AnmBnm.getAnmBh(j, 2)).add(pSinmLambda.multiply(AnmBnm.getBnmBh(j, 2))));
+ b1Bw = b1Bw.add(pCosmLambda.multiply(AnmBnm.getAnmBw(j, 2)).add(pSinmLambda.multiply(AnmBnm.getBnmBw(j, 2))));
+ b1Ch = b1Ch.add(pCosmLambda.multiply(AnmBnm.getAnmCh(j, 2)).add(pSinmLambda.multiply(AnmBnm.getBnmCh(j, 2))));
+ b1Cw = b1Cw.add(pCosmLambda.multiply(AnmBnm.getAnmCw(j, 2)).add(pSinmLambda.multiply(AnmBnm.getBnmCw(j, 2))));
+
+ a2Bh = a2Bh.add(pCosmLambda.multiply(AnmBnm.getAnmBh(j, 3)).add(pSinmLambda.multiply(AnmBnm.getBnmBh(j, 3))));
+ a2Bw = a2Bw.add(pCosmLambda.multiply(AnmBnm.getAnmBw(j, 3)).add(pSinmLambda.multiply(AnmBnm.getBnmBw(j, 3))));
+ a2Ch = a2Ch.add(pCosmLambda.multiply(AnmBnm.getAnmCh(j, 3)).add(pSinmLambda.multiply(AnmBnm.getBnmCh(j, 3))));
+ a2Cw = a2Cw.add(pCosmLambda.multiply(AnmBnm.getAnmCw(j, 3)).add(pSinmLambda.multiply(AnmBnm.getBnmCw(j, 3))));
+
+ b2Bh = b2Bh.add(pCosmLambda.multiply(AnmBnm.getAnmBh(j, 4)).add(pSinmLambda.multiply(AnmBnm.getBnmBh(j, 4))));
+ b2Bw = b2Bw.add(pCosmLambda.multiply(AnmBnm.getAnmBw(j, 4)).add(pSinmLambda.multiply(AnmBnm.getBnmBw(j, 4))));
+ b2Ch = b2Ch.add(pCosmLambda.multiply(AnmBnm.getAnmCh(j, 4)).add(pSinmLambda.multiply(AnmBnm.getBnmCh(j, 4))));
+ b2Cw = b2Cw.add(pCosmLambda.multiply(AnmBnm.getAnmCw(j, 4)).add(pSinmLambda.multiply(AnmBnm.getBnmCw(j, 4))));
+
+ j = j + 1;
+ }
+ }
+
+ // Eq. 6
+ final T bh = computeSeasonalFit(dofyear, a0Bh, a1Bh, a2Bh, b1Bh, b2Bh);
+ final T bw = computeSeasonalFit(dofyear, a0Bw, a1Bw, a2Bw, b1Bw, b2Bw);
+ final T ch = computeSeasonalFit(dofyear, a0Ch, a1Ch, a2Ch, b1Ch, b2Ch);
+ final T cw = computeSeasonalFit(dofyear, a0Cw, a1Cw, a2Cw, b1Cw, b2Cw);
+
+ // Compute Mapping Function Eq. 4
+ final T[] function = MathArrays.buildArray(field, 2);
+ function[0] = computeFunction(zero.add(coefficientsA[0]), bh, ch, elevation);
+ function[1] = computeFunction(zero.add(coefficientsA[1]), bw, cw, elevation);
+
+ return function;
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public double pathDelay(final double elevation, final double height,
+ final double[] parameters, final AbsoluteDate date) {
+ // zenith delay
+ final double[] delays = computeZenithDelay(height, parameters, date);
+ // mapping function
+ final double[] mappingFunction = mappingFactors(elevation, height, parameters, date);
+ // Tropospheric path delay
+ return delays[0] * mappingFunction[0] + delays[1] * mappingFunction[1];
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public <T extends RealFieldElement<T>> T pathDelay(final T elevation, final T height, final T[] parameters,
+ final FieldAbsoluteDate<T> date) {
+ // zenith delay
+ final T[] delays = computeZenithDelay(height, parameters, date);
+ // mapping function
+ final T[] mappingFunction = mappingFactors(elevation, height, parameters, date);
+ // Tropospheric path delay
+ return delays[0].multiply(mappingFunction[0]).add(delays[1].multiply(mappingFunction[1]));
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public double[] computeZenithDelay(final double height, final double[] parameters, final AbsoluteDate date) {
+ return zenithDelay;
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public <T extends RealFieldElement<T>> T[] computeZenithDelay(final T height, final T[] parameters,
+ final FieldAbsoluteDate<T> date) {
+ final Field<T> field = height.getField();
+ final T zero = field.getZero();
+ final T[] delays = MathArrays.buildArray(field, 2);
+ delays[0] = zero.add(zenithDelay[0]);
+ delays[1] = zero.add(zenithDelay[1]);
+ return delays;
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public List<ParameterDriver> getParametersDrivers() {
+ return Collections.emptyList();
+ }
+
+ /** Compute the mapping function related to the coefficient values and the elevation.
+ * @param a a coefficient
+ * @param b b coefficient
+ * @param c c coefficient
+ * @param elevation the elevation of the satellite, in radians.
+ * @return the value of the function at a given elevation
+ */
+ private double computeFunction(final double a, final double b, final double c, final double elevation) {
+ final double sinE = FastMath.sin(elevation);
+ // Numerator
+ final double numMP = 1 + a / (1 + b / (1 + c));
+ // Denominator
+ final double denMP = sinE + a / (sinE + b / (sinE + c));
+
+ final double felevation = numMP / denMP;
+
+ return felevation;
+ }
+
+ /** Compute the mapping function related to the coefficient values and the elevation.
+ * @param <T> type of the elements
+ * @param a a coefficient
+ * @param b b coefficient
+ * @param c c coefficient
+ * @param elevation the elevation of the satellite, in radians.
+ * @return the value of the function at a given elevation
+ */
+ private <T extends RealFieldElement<T>> T computeFunction(final T a, final T b, final T c, final T elevation) {
+ final T sinE = FastMath.sin(elevation);
+ // Numerator
+ final T numMP = a.divide(b.divide(c.add(1.0)).add(1.0)).add(1.0);
+ // Denominator
+ final T denMP = a.divide(b.divide(c.add(sinE)).add(sinE)).add(sinE);
+
+ final T felevation = numMP.divide(denMP);
+
+ return felevation;
+ }
+
+ /** Computes the empirical temporal information for the mapping function
+ * coefficients b and c. A seasonal fit formula is performed.
+ * @param doy day of year
+ * @param A0 Mean value of the coefficient
+ * @param A1 Annual amplitude of the coefficient
+ * @param A2 Semi-annual amplitude of the coefficient
+ * @param B1 Annual amplitude of the coefficient
+ * @param B2 Semi-annual amplitude of the coefficient
+ * @return the mapping function coefficient at a given day.
+ */
+ private double computeSeasonalFit(final int doy, final double A0, final double A1,
+ final double A2, final double B1, final double B2) {
+ final double coef = (doy / 365.25) * 2 * FastMath.PI;
+
+ final double cosCoef = FastMath.cos(coef);
+ final double sinCoef = FastMath.sin(coef);
+ final double cos2Coef = FastMath.cos(coef * 2.0);
+ final double sin2Coef = FastMath.sin(coef * 2.0);
+
+ return A0 + A1 * cosCoef + B1 * sinCoef + A2 * cos2Coef + B2 * sin2Coef;
+ }
+
+ /** Computes the empirical temporal information for the mapping function
+ * coefficients b and c. A seasonal fit formula is performed.
+ * @param <T> type of the elements
+ * @param doy day of year
+ * @param A0 Mean value of the coefficient
+ * @param A1 Annual amplitude of the coefficient
+ * @param A2 Semi-annual amplitude of the coefficient
+ * @param B1 Annual amplitude of the coefficient
+ * @param B2 Semi-annual amplitude of the coefficient
+ * @return the mapping function coefficient at a given day.
+ */
+ private <T extends RealFieldElement<T>> T computeSeasonalFit(final int doy, final T A0, final T A1,
+ final T A2, final T B1, final T B2) {
+ final double coef = (doy / 365.25) * 2 * FastMath.PI;
+
+ final double cosCoef = FastMath.cos(coef);
+ final double sinCoef = FastMath.sin(coef);
+ final double cos2Coef = FastMath.cos(coef * 2.0);
+ final double sin2Coef = FastMath.sin(coef * 2.0);
+
+ return A0.add(A1.multiply(cosCoef)).add(B1.multiply(sinCoef)).add(A2.multiply(cos2Coef)).add(B2.multiply(sin2Coef));
+ }
+
+ /** Computes the P<sub>nm</sub>(cos(polarDist)) coefficients.
+ * The computation of the Legendre polynomials is performed following:
+ * Heiskanen and Moritz, Physical Geodesy, 1967, eq. 1-62
+ */
+ private class LegendrePolynomials {
+
+ /** Array for the Legendre polynomials. */
+ private double[][] pCoef;
+
+ /** Create Legendre polynomials for the given degree and order.
+ * @param degree degree of the spherical harmonics
+ * @param order order of the spherical harmonics
+ */
+ LegendrePolynomials(final int degree, final int order) {
+
+ this.pCoef = new double[degree + 1][order + 1];
+
+ final double polarDist = 0.5 * FastMath.PI - latitude;
+ final double t = FastMath.cos(polarDist);
+ final double t2 = t * t;
+
+ for (int n = 0; n <= degree; n++) {
+
+ // m shall be <= n (Heiskanen and Moritz, 1967, pp 21)
+ for (int m = 0; m <= FastMath.min(n, order); m++) {
+
+ // r = int((n - m) / 2)
+ final int r = (int) (n - m) / 2;
+ double sum = 0.;
+ for (int k = 0; k <= r; k++) {
+ final double term = FastMath.pow(-1.0, k) * CombinatoricsUtils.factorialDouble(2 * n - 2 * k) /
+ (CombinatoricsUtils.factorialDouble(k) * CombinatoricsUtils.factorialDouble(n - k) *
+ CombinatoricsUtils.factorialDouble(n - m - 2 * k)) *
+ FastMath.pow(t, n - m - 2 * k);
+ sum = sum + term;
+ }
+
+ pCoef[n][m] = FastMath.pow(2, -n) * FastMath.pow(1.0 - t2, 0.5 * m) * sum;
+
+ }
+
+ }
+
+ }
+
+ /** Return the coefficient P<sub>nm</sub>.
+ * @param n index
+ * @param m index
+ * @return The coefficient P<sub>nm</sub>
+ */
+ public double getPnm(final int n, final int m) {
+ return pCoef[n][m];
+ }
+
+ }
+
+ /** Class for the values of the coefficients a<sub>nm</sub> and b<sub>nm</sub>
+ * of the spherical harmonics expansion.
+ */
+ private static class LegendreFunctions {
+
+ /** Legendre functions a<sub>nm</sub> for coefficient b<sub>h</sub>.*/
+ private static final double[][] BH_A = {
+ {0.00271285863109945, -1.39197786008938e-06, 1.34955672002719e-06, 2.71686279717968e-07, 1.56659301773925e-06},
+ {9.80476624811974e-06, -5.83922611260673e-05, -2.07307023860417e-05, 1.14628726961148e-06, 4.93610283608719e-06},
+ {-1.03443106534268e-05, -2.05536138785961e-06, 2.09692641914244e-06, -1.55491034130965e-08, -1.89706404675801e-07},
+ {-3.00353961749658e-05, 2.37284447073503e-05, 2.02236885378918e-05, 1.69276006349609e-06, 8.72156681243892e-07},
+ {-7.99121077044035e-07, -5.39048313389504e-06, -4.21234502039861e-06, -2.70944149806894e-06, -6.80894455531746e-07},
+ {7.51439609883296e-07, 3.85509708865520e-07, 4.41508016098164e-08, -2.07507808307757e-08, 4.95354985050743e-08},
+ {2.21790962160087e-05, -5.56986238775212e-05, -1.81287885563308e-05, -4.41076013532589e-06, 4.93573223917278e-06},
+ {-4.47639989737328e-06, -2.60452893072120e-06, 2.56376320011189e-06, 4.41600992220479e-07, 2.93437730332869e-07},
+ {8.14992682244945e-07, 2.03945571424434e-07, 1.11832498659806e-08, 3.25756664234497e-08, 3.01029040414968e-08},
+ {-7.96927680907488e-08, -3.66953150925865e-08, -6.74742632186619e-09, -1.30315731273651e-08, -2.00748924306947e-09},
+ {-2.16138375166934e-05, 1.67350317962556e-05, 1.93768260076821e-05, 1.99595120161850e-06, -2.42463528222014e-06},
+ {5.34360283708044e-07, -3.64189022040600e-06, -2.99935375194279e-06, -2.06880962903922e-06, -9.40815692626002e-07},
+ {6.80235884441822e-07, 1.33023436079845e-07, -1.80349593705226e-08, 2.51276252565192e-08, -1.43240592002794e-09},
+ {-7.13790897253802e-08, 7.81998506267559e-09, 1.13826909570178e-09, -5.89629600214654e-09, -4.20760865522804e-09},
+ {-5.80109372399116e-09, 1.13702284491976e-09, 7.29046067602764e-10, -9.10468988754012e-10, -2.58814364808642e-10},
+ {1.75558618192965e-05, -2.85579168876063e-05, -1.47442190284602e-05, -6.29300414335248e-06, -5.12204538913460e-07},
+ {-1.90788558291310e-06, -1.62144845155361e-06, 7.57239241641566e-07, 6.93365788711348e-07, 6.88855644570695e-07},
+ {2.27050351488552e-07, 1.03925791277660e-07, -3.31105076632079e-09, 2.88065761026675e-08, -8.00256848229136e-09},
+ {-2.77028851807614e-08, -5.96251132206930e-09, 2.95987495527251e-10, -5.87644249625625e-09, -3.28803981542337e-09},
+ {-1.89918479865558e-08, 3.54083436578857e-09, 8.10617835854935e-10, 4.99207055948336e-10, -1.52691648387663e-10},
+ {1.04022499586096e-09, -2.36437143845013e-10, -2.25110813484842e-10, -7.39850069252329e-11, 7.95929405440911e-11},
+ {-3.11579421267630e-05, -3.43576336877494e-06, 5.81663608263384e-06, 8.31534700351802e-07, 4.02619520312154e-06},
+ {6.00037066879001e-07, -1.12538760056168e-07, -3.86745332115590e-07, -3.88218746020826e-07, -6.83764967176388e-07},
+ {-9.79583981249316e-08, 9.14964449851003e-08, 4.77779838549237e-09, 2.44283811750703e-09, -6.26361079345158e-09},
+ {-2.37742207548109e-08, -5.53336301671633e-09, -3.73625445257115e-09, -1.92304189572886e-09, -7.18681390197449e-09},
+ {-6.58203463929583e-09, 9.28456148541896e-10, 2.47218904311077e-10, 1.10664919110218e-10, -4.20390976974043e-11},
+ {9.45857603373426e-10, -3.29683402990254e-11, -8.15440375865127e-11, -1.21615589356628e-12, -9.70713008848085e-12},
+ {1.61377382316176e-10, 6.84326027598147e-12, -4.66898885683671e-12, 2.31211355085535e-12, 2.39195112937346e-12},
+ {2.99634365075821e-07, 8.14391615472128e-06, 6.70458490942443e-06, -9.92542646762000e-07, -3.04078064992750e-06},
+ {-6.52697933801393e-07, 2.87255329776428e-07, -1.78227609772085e-08, 2.65525429849935e-07, 8.60650570551813e-08},
+ {-1.62727164011710e-07, 1.09102479325892e-07, 4.97827431850001e-09, 7.86649963082937e-11, -6.67193813407656e-09},
+ {-2.96370000987760e-09, 1.20008401576557e-09, 1.75885448022883e-09, -1.74756709684384e-09, 3.21963061454248e-09},
+ {-9.91101697778560e-10, 7.54541713140752e-10, -2.95880967800875e-10, 1.81009160501278e-10, 8.31547411640954e-11},
+ {1.21268051949609e-10, -5.93572774509587e-11, -5.03295034994351e-11, 3.05383430975252e-11, 3.56280438509939e-11},
+ {6.92012970333794e-11, -9.02885345797597e-12, -3.44151832744880e-12, 2.03164894681921e-12, -5.44852265137606e-12},
+ {5.56731263672800e-12, 3.57272150106101e-12, 2.25885622368678e-12, -2.44508240047675e-13, -6.83314378535235e-13},
+ {3.96883487797254e-06, -4.57100506169608e-06, -3.30208117813256e-06, 3.32599719134845e-06, 4.26539325549339e-06},
+ {1.10123151770973e-06, 4.58046760144882e-07, 1.86831972581926e-07, -1.60092770735081e-07, -5.58956114867062e-07},
+ {-3.40344900506653e-08, 2.87649741373047e-08, -1.83929753066251e-08, -9.74179203885847e-09, -2.42064137485043e-09},
+ {-6.49731596932566e-09, -3.07048108404447e-09, -2.84380614669848e-09, 1.55123146524283e-09, 4.53694984588346e-10},
+ {5.45175793803325e-10, -3.73287624700125e-10, -1.16293122618336e-10, 7.25845618602690e-11, -4.34112440021627e-11},
+ {1.89481447552805e-10, 3.67431482211078e-12, -1.72180065021194e-11, 1.47046319023226e-11, 1.31920481414062e-11},
+ {2.10125915737167e-12, -3.08420783495975e-12, -4.87748712363020e-12, 1.16363599902490e-14, 1.26698255558605e-13},
+ {-8.07894928696254e-12, 9.19344620512607e-13, 3.26929173307443e-13, 2.00438149416495e-13, -9.57035765212079e-15},
+ {1.38737151773284e-12, 1.09340178371420e-13, 5.15714202449053e-14, -5.92156438588931e-14, -3.29586752336143e-14},
+ {6.38137197198254e-06, 4.62426300749908e-06, 4.42334454191034e-06, 1.15374736092349e-06, -2.61859702227253e-06},
+ {-2.25320619636149e-07, 3.21907705479353e-07, -3.34834530764823e-07, -4.82132753601810e-07, -3.22410936343355e-07},
+ {3.48894515496995e-09, 3.49951261408458e-08, -6.01128959281142e-09, 4.78213900943443e-09, 1.46012816168576e-08},
+ {-9.66682871952083e-11, 3.75806627535317e-09, 2.38984004956705e-09, 2.07545049877203e-09, 1.58573595632766e-09},
+ {1.06834370693917e-09, -4.07975055112153e-10, -2.37598937943957e-10, 5.89327007480137e-11, 1.18891820437634e-10},
+ {5.22433722695807e-11, 6.02011995016293e-12, -7.80605402956048e-12, 1.50873145627341e-11, -1.40550093106311e-12},
+ {2.13396242187279e-13, -1.71939313965536e-12, -3.57625378660975e-14, -5.01675184988446e-14, -1.07805487368797e-12},
+ {-1.24352330043311e-12, 8.26105883301606e-13, 4.63606970128517e-13, 6.39517888984486e-14, -7.35135439920086e-14},
+ {-5.39023859065631e-13, 2.54188315588243e-14, 1.30933833278664e-14, 6.06153473304781e-15, -4.24722717533726e-14},
+ {3.12767756884813e-14, -2.29517847871632e-15, 2.53117304424948e-16, 7.07504914138118e-16, -1.20089065310688e-15},
+ {2.08311178819214e-06, -1.22179185044174e-06, -2.98842190131044e-06, 3.07310218974299e-06, 2.27100346036619e-06},
+ {-3.94601643855452e-07, -5.44014825116083e-07, -6.16955333162507e-08, -2.31954821580670e-07, 1.14010813005310e-07},
+ {6.11067575043044e-08, -3.93240193194272e-08, -1.62979132528933e-08, 1.01339204652581e-08, 1.97319601566071e-08},
+ {2.57770508710055e-09, 1.87799543582899e-09, 1.95407654714372e-09, 1.15276419281270e-09, 2.25397005402120e-09},
+ {7.16926338026236e-10, -3.65857693313858e-10, -1.54864067050915e-11, 6.50770211276549e-11, -7.85160007413546e-12},
+ {4.90007693914221e-12, 3.31649396536340e-12, 4.81664871165640e-13, 7.26080745617085e-12, 2.30960953372164e-12},
+ {9.75489202240545e-13, -1.68967954531421e-13, 7.38383391334110e-13, -3.58435515913239e-13, -3.01564710027450e-13},
+ {-3.79533601922805e-13, 2.76681830946617e-13, 1.21480375553803e-13, -1.57729077644850e-14, -8.87664977818700e-14},
+ {-3.96462845480288e-14, 2.94155690934610e-14, 6.78413205760717e-15, -4.12135802787361e-15, -1.46373307795619e-14},
+ {-8.64941937408121e-15, -1.91822620970386e-15, -8.01725413560744e-16, 5.02941051180784e-16, -1.07572628474344e-15},
+ {-4.13816294742758e-15, -7.43602019785880e-17, -5.54248556346072e-17, -4.83999456005158e-17, -1.19622559730466e-16},
+ {-8.34852132750364e-07, -7.45794677612056e-06, -6.58132648865533e-06, -1.38608110346732e-06, 5.32326534882584e-07},
+ {-2.75513802414150e-07, 3.64713745106279e-08, -7.12385417940442e-08, -7.86206067228882e-08, 2.28048393207161e-08},
+ {-4.26696415431918e-08, -4.65599668635087e-09, 7.35037936327566e-09, 1.17098354115804e-08, 1.44594777658035e-08},
+ {1.12407689274199e-09, 7.62142529563709e-10, -6.72563708415472e-10, -1.18094592485992e-10, -1.17043815733292e-09},
+ {1.76612225246125e-10, -1.01188552503192e-10, 7.32546072616968e-11, 1.79542821801610e-11, -2.23264859965402e-11},
+ {-9.35960722512375e-12, 1.90894283812231e-12, -6.34792824525760e-13, 3.98597963877826e-12, -4.47591409078971e-12},
+ {-3.34623858556099e-12, 4.56384903915853e-14, 2.72561108521416e-13, -3.57942733300468e-15, 1.99794810657713e-13},
+ {-6.16775522568954e-14, 8.25316968328823e-14, 7.19845814260518e-14, -2.92415710855106e-14, -5.49570017444031e-15},
+ {-8.50728802453217e-15, 8.38161600916267e-15, 3.43651657459983e-15, -8.19429434115910e-16, -4.08905746461100e-15},
+ {4.39042894275548e-15, -3.69440485320477e-16, 1.22249256876779e-16, -2.09359444520984e-16, -3.34211740264257e-16},
+ {-5.36054548134225e-16, 3.29794204041989e-17, 2.13564354374585e-17, -1.37838993720865e-18, -1.29188342867753e-17},
+ {-3.26421841529845e-17, 7.38235405234126e-18, 2.49291659676210e-18, 8.18252735459593e-19, 1.73824952279230e-20},
+ {4.67237509268208e-06, 1.93611283787239e-06, 9.39035455627622e-07, -5.84565118072823e-07, -1.76198705802101e-07},
+ {-3.33739157421993e-07, 4.12139555299163e-07, 1.58754695700856e-07, 1.37448753329669e-07, 1.04722936936873e-07},
+ {6.64200603076386e-09, 1.45412222625734e-08, 1.82498796118030e-08, 2.86633517581614e-09, 1.06066984548100e-09},
+ {5.25549696746655e-09, -1.33677183394083e-09, 7.60804375937931e-11, -1.07918624219037e-10, 8.09178898247941e-10},
+ {1.89318454110039e-10, 9.23092164791765e-11, 5.51434573131180e-11, 3.86696392289240e-11, -1.15208165047149e-11},
+ {-1.02252706006226e-12, -7.25921015411136e-13, -1.98110126887620e-12, -2.18964868282672e-13, -7.18834476685625e-13},
+ {-2.69770025318548e-12, -2.17850340796321e-14, 4.73040820865871e-13, 1.57947421572149e-13, 1.86925164972766e-13},
+ {1.07831718354771e-13, 2.26681841611017e-14, 2.56046087047783e-14, -1.14995851659554e-14, -2.27056907624485e-14},
+ {6.29825154734712e-15, 8.04458225889001e-16, 9.53173540411138e-16, 1.16892301877735e-15, -1.04324684545047e-15},
+ {-5.57345639727027e-16, -2.93949227634932e-16, 7.47621406284534e-18, -5.36416885470756e-17, -2.87213280230513e-16},
+ {1.73219775047208e-16, 2.05017387523061e-17, 9.08873886345587e-18, -2.86881547225742e-18, -1.25303645304992e-17},
+ {-7.30829109684568e-18, 2.03711261415353e-18, 7.62162636124024e-19, -7.54847922012517e-19, -8.85105098195030e-19},
+ {5.62039968280587e-18, -1.38144206573507e-19, 1.68028711767211e-20, 1.81223858251981e-19, -8.50245194985878e-20}
+ };
+
+ /** Legendre functions a<sub>nm</sub> for coefficient b<sub>w</sub>.*/
+ private static final double[][] BW_A = {
+ {0.00136127467401223, -6.83476317823061e-07, -1.37211986707674e-06, 7.02561866200582e-07, -2.16342338010651e-07},
+ {-9.53197486400299e-06, 6.58703762338336e-06, 2.42000663952044e-06, -6.04283463108935e-07, 2.02144424676990e-07},
+ {-6.76728911259359e-06, 6.03830755085583e-07, -8.72568628835897e-08, 2.21750344140938e-06, 1.05146032931020e-06},
+ {-3.21102832397338e-05, -7.88685357568093e-06, -2.55495673641049e-06, -1.99601934456719e-06, -4.62005252198027e-07},
+ {-7.84639263523250e-07, 3.11624739733849e-06, 9.02170019697389e-07, 6.37066632506008e-07, -9.44485038780872e-09},
+ {2.19476873575507e-06, -2.20580510638233e-07, 6.94761415598378e-07, 4.80770865279717e-07, -1.34357837196401e-07},
+ {2.18469215148328e-05, -1.80674174262038e-06, -1.52754285605060e-06, -3.51212288219241e-07, 2.73741237656351e-06},
+ {2.85579058479116e-06, 1.57201369332361e-07, -2.80599072875081e-07, -4.91267304946072e-07, -2.11648188821805e-07},
+ {2.81729255594770e-06, 3.02487362536122e-07, -1.64836481475431e-07, -2.11607615408593e-07, -6.47817762225366e-08},
+ {1.31809947620223e-07, -1.58289524114549e-07, -7.05580919885505e-08, 5.56781440550867e-08, 1.23403290710365e-08},
+ {-1.29252282695869e-05, -1.07247072037590e-05, -3.31109519638196e-06, 2.13776673779736e-06, -1.49519398373391e-07},
+ {1.81685152305722e-06, -1.17362204417861e-06, -3.19205277136370e-08, 4.09166457255416e-07, 1.53286667406152e-07},
+ {1.63477723125362e-06, -2.68584775517243e-08, 4.94662064805191e-09, -7.09027987928288e-08, 4.44353430574937e-08},
+ {-2.13090618917978e-07, 4.05836983493219e-08, 2.94495876336549e-08, -1.75005469063176e-08, -3.03015988647002e-09},
+ {-2.16074435298006e-09, 9.37631708987675e-09, -2.05996036369828e-08, 6.97068002894092e-09, -8.90988987979604e-09},
+ {1.38047798906967e-05, 2.05528261553901e-05, 1.59072148872708e-05, 7.34088731264443e-07, 1.28226710383580e-06},
+ {7.08175753966264e-07, -9.27988276636505e-07, 1.60535820026081e-07, -3.27296675122065e-07, -2.20518321170684e-07},
+ {1.90932483086199e-07, -7.44215272759193e-08, 1.81330673333187e-08, 4.37149649043616e-08, 4.18884335594172e-08},
+ {-5.37009063880924e-08, 2.22870057779431e-08, 1.73740123037651e-08, -4.45137302235032e-09, 9.44721910524571e-09},
+ {-6.83406949047909e-08, -1.95046676795923e-10, 2.57535903049686e-09, 4.82643164083020e-09, 3.37657333705158e-09},
+ {3.96128688448981e-09, -6.63809403270686e-10, 2.44781464212534e-10, 5.92280853590699e-11, -4.78502591970721e-10},
+ {1.75859399041414e-05, -2.81238050668481e-06, -2.43670534594848e-06, 3.58244562699714e-06, -1.76547446732691e-06},
+ {-1.06451311473304e-07, 1.54336689617184e-06, -2.00690000442673e-07, 1.38790047911880e-09, -1.62490619890017e-07},
+ {-2.72757421686155e-07, 1.71139266205398e-07, -2.55080309401917e-08, -8.40793079489831e-09, -1.01129447760167e-08},
+ {2.92966025844079e-08, -2.07556718857313e-08, 5.45985315647905e-09, 8.76857690274150e-09, 1.06785510440474e-08},
+ {-1.22059608941331e-08, 6.52491630264276e-09, -1.79332492326928e-10, 3.75921793745396e-10, -7.06416506254786e-10},
+ {1.63224355776652e-09, 4.95586028736232e-10, -3.07879011759040e-10, -7.78354087544277e-11, 1.43959047067250e-10},
+ {3.86319414653663e-10, -2.06467134617933e-10, 4.37330971382694e-11, -5.00421056263711e-11, -9.40237773015723e-12},
+ {-1.23856142706451e-05, 7.61047394008415e-06, -1.99104114578138e-07, 6.86177748886858e-07, -1.09466747592827e-07},
+ {2.99866062403128e-07, 1.87525561397390e-07, 4.99374806994715e-08, 4.86229763781404e-07, 4.46570575517658e-07},
+ {-5.05748332368430e-07, 1.95523624722285e-08, -9.17535435911345e-08, -2.56671607433547e-08, -7.11896201616653e-08},
+ {-2.66062200406494e-08, -5.40470019739274e-09, -2.29718660244954e-09, -3.73328592264404e-09, 3.38748313712376e-09},
+ {5.30855327954894e-10, 5.28851845648032e-10, -2.22278913745418e-10, -5.52628653064771e-11, -9.24825145219684e-10},
+ {6.03737227573716e-10, -3.52190673510919e-12, -1.30371720641414e-10, -9.12787239944822e-12, 6.42187285537238e-12},
+ {1.78081862458539e-10, 2.93772078656037e-12, -1.04698379945322e-11, -2.82260024833024e-11, -5.61810459067525e-12},
+ {9.35003092299580e-12, -8.23133834521577e-13, 5.54878414224198e-13, -3.62943215777181e-13, 2.38858933771653e-12},
+ {-1.31216096107331e-05, -5.70451670731759e-06, -5.11598683573971e-06, -4.99990779887599e-06, 1.27389320221511e-07},
+ {-1.23108260369048e-06, 5.53093245213587e-07, 8.60093183929302e-07, 2.65569700925696e-07, 1.95485134805575e-07},
+ {-2.29647072638049e-07, -5.45266515081825e-08, 2.85298129762263e-08, 1.98167939680185e-08, 5.52227340898335e-09},
+ {-2.73844745019857e-08, -4.48345173291362e-10, -1.93967347049382e-09, -1.41508853776629e-09, -1.75456962391145e-09},
+ {-2.68863184376108e-11, -2.20546981683293e-09, 6.56116990576877e-10, 1.27129855674922e-10, -2.32334506413213e-10},
+ {1.98303136881156e-10, 6.04782006047075e-11, 2.91291115431570e-11, 6.18098615782757e-11, -3.82682292530379e-11},
+ {9.48294455071158e-12, -3.05873596453015e-13, 5.31539408055057e-13, -7.31016438665600e-12, -1.19921002209198e-11},
+ {-2.25188050845725e-11, -3.91627574966393e-13, -6.80217235976769e-13, 5.91033607278405e-13, 5.02991534452191e-13},
+ {1.29532063896247e-12, 1.66337285851564e-13, 3.25543028344555e-13, 1.89143357962363e-13, 3.32288378169726e-13},
+ {-2.45864358781728e-06, 4.49460524898260e-06, 1.03890496648813e-06, -2.73783420376785e-06, 7.12695730642593e-07},
+ {-9.27805078535168e-07, -4.97733876686731e-07, 9.18680298906510e-08, -2.47200617423980e-07, 6.16163630140379e-08},
+ {-1.39623661883136e-08, -1.12580495666505e-07, 2.61821435950379e-08, -2.31875562002885e-08, 5.72679835033659e-08},
+ {-9.52538983318497e-09, -5.40909215302433e-09, 1.88698793952475e-09, -4.08127746406372e-09, 1.09534895853812e-10},
+ {3.79767457525741e-09, 1.11549801373366e-10, -6.45504957274111e-10, 3.05477141010356e-10, 1.26261210565856e-10},
+ {5.08813577945300e-11, 1.43250547678637e-11, 8.81616572082448e-12, 2.58968878880804e-11, 3.83421818249954e-11},
+ {8.95094368142044e-12, -3.26220304555971e-12, -1.28047847191896e-12, 2.67562170258942e-12, 2.72195031576670e-12},
+ {-6.47181697409757e-12, 1.13776457455685e-12, 2.84856274334969e-13, -7.63667272085395e-14, -1.34451657758826e-13},
+ {-1.25291265888343e-12, 8.63500441050317e-14, -1.21307856635548e-13, 5.12570529540511e-14, 3.32389276976573e-14},
+ {3.73573418085813e-14, -5.37808783042784e-16, -4.23430408270850e-16, -4.75110565740493e-15, 6.02553212780166e-15},
+ {8.95483987262751e-06, -3.90778212666235e-06, -1.12115019808259e-06, 1.78678942093383e-06, 1.46806344157962e-06},
+ {-4.59185232678613e-07, 1.09497995905419e-07, 1.31663977640045e-07, 4.20525791073626e-08, -9.71470741607431e-08},
+ {1.63399802579572e-07, 1.50909360648645e-08, -1.11480472593347e-08, -1.84000857674573e-08, 7.82124614794256e-09},
+ {1.22887452385094e-08, -4.06647399822746e-10, -6.49120327585597e-10, 8.63651225791194e-10, -2.73440085913102e-09},
+ {2.51748630889583e-09, 4.79895880425564e-10, -2.44908073860844e-10, 2.56735882664876e-10, -1.64815306286912e-10},
+ {4.85671381736718e-11, -2.51742732115131e-11, -2.60819437993179e-11, 6.12728324086123e-12, 2.16833310896138e-11},
+ {4.11389702320298e-12, -8.09433180989935e-13, -1.19812498226024e-12, 1.46885737888520e-12, 3.15807685137836e-12},
+ {-1.47614580597013e-12, 4.66726413909320e-13, 1.72089709006255e-13, 1.13854935381418e-13, 2.77741161317003e-13},
+ {-1.02257724967727e-13, 1.10394382923502e-13, -3.14153505370805e-15, 2.41103099110106e-14, 2.13853053149771e-14},
+ {-3.19080885842786e-14, -9.53904307973447e-15, 2.74542788156379e-15, 2.33797859107844e-15, -2.53192474907304e-15},
+ {-5.87702222126367e-15, -1.80133850930249e-15, -3.09793125614454e-16, -1.04197538975295e-16, 3.72781664701327e-16},
+ {1.86187054729085e-06, 8.33098045333428e-06, 3.18277735484232e-06, -7.68273797022231e-07, -1.52337222261696e-06},
+ {-5.07076646593648e-07, -8.61959553442156e-07, -3.51690005432816e-07, -4.20797082902431e-07, -3.07652993252673e-07},
+ {-7.38992472164147e-08, -8.39473083080280e-08, -2.51587083298935e-08, 7.30691259725451e-09, -3.19457155958983e-08},
+ {-1.99777182012924e-09, -3.21265085916022e-09, -4.84477421865675e-10, -1.82924814205799e-09, -3.46664344655997e-10},
+ {-7.05788559634927e-11, 1.21840735569025e-10, 7.97347726425926e-11, 1.08275679614409e-10, -1.17891254809785e-10},
+ {1.10299718947774e-11, -3.22958261390263e-11, -1.43535798209229e-11, 6.87096504209595e-12, -6.64963212272352e-12},
+ {-6.47393639740084e-12, 1.03156978325120e-12, -9.20099775082358e-14, -2.40150316641949e-13, 1.14008812047857e-12},
+ {-1.23957846397250e-13, 2.85996703969692e-13, 1.91579874982553e-13, 5.20597174693064e-14, -4.06741434883370e-14},
+ {-2.35479068911236e-14, 1.97847338186993e-14, 1.58935977518516e-15, -2.32217195254742e-15, -8.48611789490575e-15},
+ {1.03992320391626e-14, 1.54017082092642e-15, 1.05950035082788e-16, -1.17870898461353e-15, -1.10937420707372e-15},
+ {-1.09011948374520e-15, -6.04168007633584e-16, -9.10901998157436e-17, 1.98379116989461e-16, -1.03715496658498e-16},
+ {-1.38171942108278e-16, -6.33037999097522e-17, -1.38777695011470e-17, 1.94191397045401e-17, 5.70055906754485e-18},
+ {1.92989406002085e-06, -3.82662130483128e-06, -4.60189561036048e-07, 2.24290587856309e-06, 1.40544379451550e-06},
+ {6.49033717633394e-08, 2.41396114435326e-07, 2.73948898223321e-07, 1.10633664439332e-07, -3.19555270171075e-08},
+ {-2.91988966963297e-08, -6.03828192816571e-09, 1.18462386444840e-08, 1.32095545004128e-08, -5.06572721528914e-09},
+ {7.31079058474148e-09, -8.42775299751834e-10, 1.10190810090667e-09, 1.96592273424306e-09, -2.13135932785688e-09},
+ {7.06656405314388e-11, 1.43441125783756e-10, 1.46962246686924e-10, 7.44592776425197e-11, -3.64331892799173e-11},
+ {-2.52393942119372e-11, 1.07520964869263e-11, 5.84669886072094e-12, 6.52029744217103e-12, 1.82947123132059e-12},
+ {-4.15669940115121e-12, -1.95963254053648e-13, 2.16977822834301e-13, -2.84701408462031e-13, 4.27194601040231e-13},
+ {3.07891105454129e-13, 1.91523190672955e-13, 1.05367297580989e-13, -5.28136363920236e-14, -3.53364110005917e-14},
+ {7.02156663274738e-15, 9.52230536780849e-15, -3.41019408682733e-15, -3.59825303352899e-15, -2.62576411636150e-15},
+ {-1.75110277413804e-15, 5.29265220719483e-16, 4.45015980897919e-16, -3.80179856341347e-16, -4.32917763829695e-16},
+ {1.16038609651443e-16, -6.69643574373352e-17, 2.65667154817303e-17, -9.76010333683956e-17, 4.07312981076655e-17},
+ {5.72659246346386e-18, 1.30357528108671e-18, 2.49193258417535e-18, 1.76247014075584e-18, 7.59614374197688e-19},
+ {1.03352170833303e-17, -2.30633516638829e-18, 2.84777940620193e-18, -7.72161347944693e-19, 6.07028034506380e-19}
+ };
+
+ /** Legendre functions a<sub>nm</sub> for coefficient c<sub>h</sub>.*/
+ private static final double[][] CH_A = {
+ {0.0571481238161787, 3.35402081801137e-05, 3.15988141788728e-05, -1.34477341887086e-05, -2.61831023577773e-07},
+ {5.77367395845715e-05, -0.000669057185209558, -6.51057691648904e-05, -1.61830149147091e-06, 8.96771209464758e-05},
+ {-8.50773002452907e-05, -4.87106614880272e-05, 4.03431160775277e-05, 2.54090162741464e-06, -5.59109319864264e-06},
+ {0.00150536423187709, 0.000611682258892697, 0.000369730024614855, -1.95658439780282e-05, -3.46246726553700e-05},
+ {-2.32168718433966e-05, -0.000127478686553809, -9.00292451740728e-05, -6.07834315901830e-05, -1.04628419422714e-05},
+ {-1.38607250922551e-06, -3.97271603842309e-06, -8.16155320152118e-07, 5.73266706046665e-07, 2.00366060212696e-07},
+ {6.52491559188663e-05, -0.00112224323460183, -0.000344967958304075, -7.67282640947300e-05, 0.000107907110551939},
+ {-0.000138870461448036, -7.29995695401936e-05, 5.35986591445824e-05, 9.03804869703890e-06, 8.61370129482732e-06},
+ {-9.98524443968768e-07, -6.84966792665998e-08, 1.47478021860771e-07, 1.94857794008064e-06, 7.17176852732910e-07},
+ {1.27066367911720e-06, 1.12113289164288e-06, 2.71525688515375e-07, -2.76125723009239e-07, -1.05429690305013e-07},
+ {-0.000377264999981652, 0.000262691217024294, 0.000183639785837590, 3.93177048515576e-06, -6.66187081899168e-06},
+ {-4.93720951871921e-05, -0.000102820030405771, -5.69904376301748e-05, -3.79603438055116e-05, -3.96726017834930e-06},
+ {-2.21881958961135e-06, -1.40207117987894e-06, 1.60956630798516e-07, 2.06121145135022e-06, 6.50944708093149e-07},
+ {2.21876332411271e-07, 1.92272880430386e-07, -6.44016558013941e-09, -1.40954921332410e-07, -4.26742169137667e-07},
+ {-3.51738525149881e-08, 2.89616194332516e-08, -3.40343352397886e-08, -2.89763392721812e-08, -6.40980581663785e-10},
+ {3.51240856823468e-05, -0.000725895015345786, -0.000322514037108045, -0.000106143759981636, 4.08153152459337e-05},
+ {-2.36269716929413e-05, -4.20691836557932e-05, 1.43926743222922e-05, 2.61811210631784e-05, 2.09610762194903e-05},
+ {-7.91765756673890e-07, 1.64556789159745e-06, -9.43930166276555e-07, 6.46641738736139e-07, -5.91509547299176e-07},
+ {3.92768838766879e-07, -1.98027731703690e-07, -5.41303590057253e-08, -4.21705797874207e-07, -6.06042329660681e-08},
+ {-1.56650141024305e-08, 7.61808165752027e-08, -1.81900460250934e-08, 1.30196216971675e-08, 1.08616031342379e-08},
+ {-2.80964779829242e-08, -7.25951488826103e-09, -2.59789823306225e-09, -2.79271942407154e-09, 4.10558774868586e-09},
+ {-0.000638227857648286, -0.000154814045363391, 7.78518327501759e-05, -2.95961469342381e-05, 1.15965225055757e-06},
+ {4.47833146915112e-06, 1.33712284237555e-05, 3.61048816552123e-06, -2.50717844073547e-06, -1.28100822021734e-05},
+ {-2.26958070007455e-06, 2.57779960912242e-06, 1.08395653197976e-06, 1.29403393862805e-07, -1.04854652812567e-06},
+ {-3.98954043463392e-07, -2.26931182815454e-07, -1.09169545045028e-07, -1.49509536031939e-07, -3.98376793949903e-07},
+ {2.30418911071110e-08, 1.23098508481555e-08, -1.71161401463708e-08, 2.35829696577657e-09, 1.31136164162040e-08},
+ {3.69423793101582e-09, 3.49231027561927e-10, -1.18581468768647e-09, 5.43180735828820e-10, 5.43192337651588e-10},
+ {-1.38608847117992e-09, -1.86719145546559e-10, -8.13477384765498e-10, 2.01919878240491e-10, 1.00067892622287e-10},
+ {-4.35499078415956e-05, 0.000450727967957804, 0.000328978494268850, -3.05249478582848e-05, -3.21914834544310e-05},
+ {1.24887940973241e-05, 1.34275239548403e-05, 1.11275518344713e-06, 7.46733554562851e-06, -2.12458664760353e-06},
+ {9.50250784948476e-07, 2.34367372695203e-06, -5.43099244798980e-07, -4.35196904508734e-07, -8.31852234345897e-07},
+ {5.91775478636535e-09, -1.48970922508592e-07, 2.99840061173840e-08, -1.30595933407792e-07, 1.27136765045597e-07},
+ {-1.78491083554475e-08, 1.76864919393085e-08, -1.96740493482011e-08, 1.21096708004261e-08, 2.95518703155064e-10},
+ {1.75053510088658e-09, -1.31414287871615e-09, -1.44689439791928e-09, 1.14682483668460e-09, 1.74488616540169e-09},
+ {1.08152964586251e-09, -3.85678162063266e-10, -2.77851016629979e-10, 3.89890578625590e-11, -2.54627365853495e-10},
+ {-1.88340955578221e-10, 5.19645384002867e-11, 2.14131326027631e-11, 1.24027770392728e-11, -9.42818962431967e-12},
+ {0.000359777729843898, -0.000111692619996219, -6.87103418744904e-05, 0.000115128973879551, 7.59796247722486e-05},
+ {5.23717968000879e-05, 1.32279078116467e-05, -5.72277317139479e-07, -7.56326558610214e-06, -1.95749622214651e-05},
+ {1.00109213210139e-06, -2.75515216592735e-07, -1.13393194050846e-06, -4.75049734870663e-07, -3.21499480530932e-07},
+ {-2.07013716598890e-07, -7.31392258077707e-08, -3.96445714084160e-08, 3.21390452929387e-08, -1.43738764991525e-08},
+ {2.03081434931767e-09, -1.35423687136122e-08, -4.47637454261816e-09, 2.18409121726643e-09, -3.74845286805217e-09},
+ {3.17469255318367e-09, 2.44221027314129e-10, -2.46820614760019e-10, 7.55851003884434e-10, 6.98980592550891e-10},
+ {9.89541493531067e-11, -2.78762878057315e-11, -2.10947962916771e-10, 3.77882267360636e-11, -1.20009542671532e-12},
+ {5.01720575730940e-11, 1.66470417102135e-11, -7.50624817938091e-12, 9.97880221482238e-12, 4.87141864438892e-12},
+ {2.53137945301589e-11, 1.93030083090772e-12, -1.44708804231290e-12, -1.77837100743423e-12, -8.10068935490951e-13},
+ {0.000115735341520738, 0.000116910591048350, 8.36315620479475e-05, 1.61095702669207e-05, -7.53084853489862e-05},
+ {-9.76879433427199e-06, 9.16968438003335e-06, -8.72755127288830e-06, -1.30077933880053e-05, -9.78841937993320e-06},
+ {1.04902782517565e-07, 2.14036988364936e-07, -7.19358686652888e-07, 1.12529592946332e-07, 7.07316352860448e-07},
+ {7.63177265285080e-08, 1.22781974434290e-07, 8.99971272969286e-08, 5.63482239352990e-08, 4.31054352285547e-08},
+ {3.29855763107355e-09, -6.95004336734441e-09, -6.52491370576354e-09, 1.97749180391742e-09, 3.51941791940498e-09},
+ {3.85373745846559e-10, 1.65754130924183e-10, -3.31326088103057e-10, 5.93256024580436e-10, 1.27725220636915e-10},
+ {-1.08840956376565e-10, -4.56042860268189e-11, -4.77254322645633e-12, -2.94405398621875e-12, -3.07199979999475e-11},
+ {2.07389879095010e-11, 1.51186798732451e-11, 9.28139802941848e-12, 5.92738269687687e-12, 9.70337402306505e-13},
+ {-2.85879708060306e-12, 1.92164314717053e-13, 4.02664678967890e-14, 5.18246319204277e-13, -7.91438726419423e-13},
+ {6.91890667590734e-13, -8.49442290988352e-14, -5.54404947212402e-15, 9.71093377538790e-15, -5.33714333415971e-14},
+ {-5.06132972789792e-05, -4.28348772058883e-05, -6.90746551020305e-05, 8.48380415176836e-05, 7.04135614675053e-05},
+ {-1.27945598849788e-05, -1.92362865537803e-05, -2.30971771867138e-06, -8.98515975724166e-06, 5.25675205004752e-06},
+ {-8.71907027470177e-07, -1.02091512861164e-06, -1.69548051683864e-07, 4.87239045855761e-07, 9.13163249899837e-07},
+ {-6.23651943425918e-08, 6.98993315829649e-08, 5.91597766733390e-08, 4.36227124230661e-08, 6.45321798431575e-08},
+ {-1.46315079552637e-10, -7.85142670184337e-09, 1.48788168857903e-09, 2.16870499912160e-09, -1.16723047065545e-09},
+ {3.31888494450352e-10, 1.90931898336457e-10, -3.13671901557599e-11, 2.60711798190524e-10, 8.45240112207997e-11},
+ {1.36645682588537e-11, -5.68830303783976e-12, 1.57518923848140e-11, -1.61935794656758e-11, -4.16568077748351e-12},
+ {9.44684950971905e-13, 7.30313977131995e-12, 3.14451447892684e-12, 6.49029875639842e-13, -9.66911019905919e-13},
+ {-8.13097374090024e-13, 5.23351897822186e-13, 8.94349188113951e-14, -1.33327759673270e-13, -4.04549450989029e-13},
+ {-3.76176467005839e-14, -6.19953702289713e-14, -3.74537190139726e-14, 1.71275486301958e-14, -3.81946773167132e-14},
+ {-4.81393385544160e-14, 3.66084990006325e-15, 3.10432030972253e-15, -4.10964475657416e-15, -6.58644244242900e-15},
+ {-7.81077363746945e-05, -0.000254773632197303, -0.000214538508009518, -3.80780934346726e-05, 1.83495359193990e-05},
+ {5.89140224113144e-06, -3.17312632433258e-06, -3.81872516710791e-06, -2.27592226861647e-06, 1.57044619888023e-06},
+ {-1.44272505088690e-06, -1.10236588903758e-07, 2.64336813084693e-07, 4.76074163332460e-07, 4.28623587694570e-07},
+ {3.98889120733904e-08, -1.29638005554027e-08, -4.13668481273828e-08, 1.27686793719542e-09, -3.54202962042383e-08},
+ {1.60726837551750e-09, -2.70750776726156e-09, 2.79387092681070e-09, -3.01419734793998e-10, -1.29101669438296e-10},
+ {-2.55708290234943e-10, 2.27878015173471e-11, -6.43063443462716e-12, 1.26531554846856e-10, -1.65822147437220e-10},
+ {-3.35886470557484e-11, -3.51895009091595e-12, 5.80698399963198e-12, -2.84881487149207e-12, 8.91708061745902e-12},
+ {-3.12788523950588e-12, 3.35366912964637e-12, 2.52236848033838e-12, -8.12801050709184e-13, -2.63510394773892e-13},
+ {6.83791881183142e-14, 2.41583263270381e-13, 8.58807794189356e-14, -5.12528492761045e-14, -1.40961725631276e-13},
+ {-1.28585349115321e-14, -2.11049721804969e-14, 5.26409596614749e-15, -4.31736582588616e-15, -1.60991602619068e-14},
+ {-9.35623261461309e-15, -3.94384886372442e-16, 5.04633016896942e-16, -5.40268998456055e-16, -1.07857944298104e-15},
+ {8.79756791888023e-16, 4.52529935675330e-16, 1.36886341163227e-16, -1.12984402980452e-16, 6.30354561057224e-18},
+ {0.000117829256884757, 2.67013591698442e-05, 2.57913446775250e-05, -4.40766244878807e-05, -1.60651761172523e-06},
+ {-1.87058092029105e-05, 1.34371169060024e-05, 5.59131416451555e-06, 4.50960364635647e-06, 2.87612873904633e-06},
+ {2.79835536517287e-07, 8.93092708148293e-07, 8.37294601021795e-07, -1.99029785860896e-08, -8.87240405168977e-08},
+ {4.95854313394905e-08, -1.44694570735912e-08, 2.51662229339375e-08, -3.87086600452258e-09, 2.29741919071270e-08},
+ {4.71497840986162e-09, 2.47509999454076e-09, 1.67323845102824e-09, 8.14196768283530e-10, -3.71467396944165e-10},
+ {-1.07340743907054e-10, -8.07691657949326e-11, -5.99381660248133e-11, 2.33173929639378e-12, -2.26994195544563e-11},
+ {-3.83130441984224e-11, -5.82499946138714e-12, 1.43286311435124e-11, 3.15150503353387e-12, 5.97891025146774e-12},
+ {-5.64389191072230e-13, 9.57258316335954e-13, 1.12055192185939e-12, -4.42417706775420e-13, -9.93190361616481e-13},
+ {1.78188860269677e-13, 7.82582024904950e-14, 5.18061650118009e-14, 2.13456507353387e-14, -5.26202113779510e-14},
+ {-8.18481324740893e-15, -3.71256746886786e-15, 4.23508855164371e-16, -2.91292502923102e-15, -1.15454205389350e-14},
+ {6.16578691696810e-15, 6.74087154080877e-16, 5.71628946437034e-16, -2.05251213979975e-16, -7.25999138903781e-16},
+ {9.35481959699383e-17, 6.23535830498083e-17, 3.18076728802060e-18, -2.92353209354587e-17, 7.65216088665263e-19},
+ {2.34173078531701e-17, -8.30342420281772e-18, -4.33602329912952e-18, 1.90226281379981e-18, -7.85507922718903e-19}
+ };
+
+ /** Legendre functions a<sub>nm</sub> for coefficient c<sub>w</sub>.*/
+ private static final double[][] CW_A = {
+ {0.0395329695826997, -0.000131114380761895, -0.000116331009006233, 6.23548420410646e-05, 5.72641113425116e-05},
+ {-0.000441837640880650, 0.000701288648654908, 0.000338489802858270, 3.76700309908602e-05, -8.70889013574699e-06},
+ {1.30418530496887e-05, -0.000185046547597376, 4.31032103066723e-05, 0.000105583334124319, 3.23045436993589e-05},
+ {3.68918433448519e-05, -0.000219433014681503, 3.46768613485000e-06, -9.17185187163528e-05, -3.69243242456081e-05},
+ {-6.50227201116778e-06, 2.07614874282187e-05, -5.09131314798362e-05, -3.08053225174359e-05, -4.18483655873918e-05},
+ {2.67879176459056e-05, -6.89303730743691e-05, 2.11046783217168e-06, 1.93163912538178e-05, -1.97877143887704e-06},
+ {0.000393937595007422, -0.000452948381236406, -0.000136517846073846, 0.000138239247989489, 0.000133175232977863},
+ {5.00214539435002e-05, 3.57229726719727e-05, -9.38010547535432e-07, -3.52586798317563e-05, -7.01218677681254e-06},
+ {3.91965314099929e-05, 1.02236686806489e-05, -1.95710695226022e-05, -5.93904795230695e-06, 3.24339769876093e-06},
+ {6.68158778290653e-06, -8.10468752307024e-06, -9.91192994096109e-06, -1.89755520007723e-07, -3.26799467595579e-06},
+ {0.000314196817753895, -0.000296548447162009, -0.000218410153263575, -1.57318389871000e-05, 4.69789570185785e-05},
+ {0.000104597721123977, -3.31000119089319e-05, 5.60326793626348e-05, 4.71895007710715e-05, 3.57432326236664e-05},
+ {8.95483021572039e-06, 1.44019305383365e-05, 4.87912790492931e-06, -3.45826387853503e-06, 3.23960320438157e-06},
+ {-1.35249651009930e-05, -2.49349762695977e-06, -2.51509483521132e-06, -9.14254874104858e-07, -8.57897406100890e-07},
+ {-1.68143325235195e-06, 1.72073417594235e-06, 1.38765993969565e-06, 4.09770982137530e-07, -6.60908742097123e-07},
+ {-0.000639889366487161, 0.00120194042474696, 0.000753258598887703, 3.87356377414663e-05, 1.31231811175345e-05},
+ {2.77062763606783e-05, -9.51425270178477e-06, -6.61068056107547e-06, -1.38713669012109e-05, 9.84662092961671e-06},
+ {-2.69398078539471e-06, 6.50860676783123e-06, 3.80855926988090e-06, -1.98076068364785e-06, 1.17187335666772e-06},
+ {-2.63719028151905e-06, 5.03149473656743e-07, 7.38964893399716e-07, -8.38892485369078e-07, 1.30943917775613e-06},
+ {-1.56634992245479e-06, -2.97026487417045e-08, 5.06602801102463e-08, -4.60436007958792e-08, -1.62536449440997e-07},
+ {-2.37493912770935e-07, 1.69781593069938e-08, 8.35178275224265e-08, -4.83564044549811e-08, -4.96448864199318e-08},
+ {0.00134012259587597, -0.000250989369253194, -2.97647945512547e-05, -6.47889968094926e-05, 8.41302130716859e-05},
+ {-0.000113287184900929, 4.78918993866293e-05, -3.14572113583139e-05, -2.10518256626847e-05, -2.03933633847417e-05},
+ {-4.97413321312139e-07, 3.72599822034753e-06, -3.53221588399266e-06, -1.05232048036416e-06, -2.74821498198519e-06},
+ {4.81988542428155e-06, 4.21400219782474e-07, 1.02814808667637e-06, 4.40299068486188e-09, 3.37103399036634e-09},
+ {1.10140301678818e-08, 1.90257670180182e-07, -1.00831353341885e-08, 1.44860642389714e-08, -5.29882089987747e-08},
+ {6.12420414245775e-08, -4.48953461152996e-09, -1.38837603709003e-08, -2.05533675904779e-08, 1.49517908802329e-09},
+ {9.17090243673643e-10, -9.24878857867367e-09, -2.30856560363943e-09, -4.36348789716735e-09, -4.45808881183025e-10},
+ {-0.000424912699609112, -0.000114365438471564, -0.000403200981827193, 4.19949560550194e-05, -3.02068483713739e-05},
+ {3.85435472851225e-05, -5.70726887668306e-05, 4.96313706308613e-07, 1.02395703617082e-05, 5.85550000567006e-06},
+ {-7.38204470183331e-06, -4.56638770109511e-06, -3.94007992121367e-06, -2.16666812189101e-06, -4.55694264113194e-06},
+ {5.89841165408527e-07, 1.40862905173449e-08, 1.08149086563211e-07, -2.18592601537944e-07, -3.78927431428119e-07},
+ {4.85164687450468e-08, 8.34273921293655e-08, 1.47489605513673e-08, 6.01494125001291e-08, 6.43812884159484e-09},
+ {1.13055580655363e-08, 3.50568765400469e-09, -5.09396162501750e-09, -1.83362063152411e-09, -4.11227251553035e-09},
+ {3.16454132867156e-09, -1.39634794131087e-09, -7.34085003895929e-10, -7.55541371271796e-10, -1.57568747643705e-10},
+ {1.27572900992112e-09, -3.51625955080441e-10, -4.84132020565098e-10, 1.52427274930711e-10, 1.27466120431317e-10},
+ {-0.000481655666236529, -0.000245423313903835, -0.000239499902816719, -0.000157132947351028, 5.54583099258017e-05},
+ {-1.52987254785589e-05, 2.78383892116245e-05, 4.32299123991860e-05, 1.70981319744327e-05, -1.35090841769225e-06},
+ {-8.65400907717798e-06, -6.51882656990376e-06, -2.43810171017369e-07, 8.54348785752623e-07, 2.98371863248143e-07},
+ {-1.68155571776752e-06, -3.53602587563318e-07, -1.00404435881759e-07, -2.14162249012859e-08, -2.42131535531526e-07},
+ {-1.08048603277187e-08, -9.78850785763030e-08, -2.32906554437417e-08, 2.22003630858805e-08, -2.27230368089683e-09},
+ {-5.98864391551041e-09, 7.38970926486848e-09, 3.61322835311957e-09, 3.70037329172919e-09, -3.41121137081362e-09},
+ {-7.33113754909726e-10, -9.08374249335220e-11, -1.78204392133739e-10, 8.28618491929026e-11, -1.32966817912373e-10},
+ {-5.23340481314676e-10, 1.36403528233346e-10, -7.04478837151279e-11, -6.83175201536443e-12, -2.86040864071134e-12},
+ {3.75347503578356e-11, -1.08518134138781e-11, -2.53583751744508e-12, 1.00168232812303e-11, 1.74929602713312e-11},
+ {-0.000686805336370570, 0.000591849814585706, 0.000475117378328026, -2.59339398048415e-05, 3.74825110514968e-05},
+ {3.35231363034093e-05, 2.38331521146909e-05, 7.43545963794093e-06, -3.41430817541849e-06, 7.20180957675353e-06},
+ {3.60564374432978e-07, -3.13300039589662e-06, -6.38974746108020e-07, -8.63985524672024e-07, 2.43367665208655e-06},
+ {-4.09605238516094e-07, -2.51158699554904e-07, -1.29359217235188e-07, -2.27744642483133e-07, 7.04065989970205e-08},
+ {6.74886341820129e-08, -1.02009407061935e-08, -3.30790296448812e-08, 1.64959795655031e-08, 1.40641779998855e-08},
+ {1.31706886235108e-09, -1.06243701278671e-09, -2.85573799673944e-09, 3.72566568681289e-09, 2.48402582003925e-09},
+ {-3.68427463251097e-11, -1.90028122983781e-10, -3.98586561768697e-11, 1.14458831693287e-11, -2.27722300377854e-12},
+ {-7.90029729611056e-11, 3.81213646526419e-11, 4.63303426711788e-11, 1.52294835905903e-11, -2.99094751490726e-12},
+ {-2.36146602045017e-11, 1.03852674709985e-11, -4.47242126307100e-12, 5.30884113537806e-12, 1.68499023262969e-12},
+ {-3.30107358134527e-13, -4.73989085379655e-13, 5.17199549822684e-13, 2.34951744478255e-13, 2.05931351608192e-13},
+ {0.000430215687511780, -0.000132831373000014, -3.41830835017045e-05, 4.70312161436033e-06, -3.84807179340006e-05},
+ {1.66861163032403e-05, -8.10092908523550e-06, 8.20658107437905e-06, 6.12399025026683e-06, -1.85536495631911e-06},
+ {1.53552093641337e-06, 2.19486495660361e-06, -1.07253805120137e-06, -4.72141767909137e-07, 4.00744581573216e-07},
+ {2.56647305130757e-07, -8.07492046592274e-08, -2.05858469296168e-07, 1.09784168930599e-07, -7.76823030181225e-08},
+ {1.77744008115031e-08, 1.64134677817420e-08, 4.86163044879020e-09, 1.13334251800856e-08, -7.17260621115426e-09},
+ {1.61133063219326e-09, -1.85414677057024e-09, -2.13798537812651e-09, 1.15255123229679e-09, 2.24504700129464e-09},
+ {1.23344223096739e-10, -1.20385012169848e-10, -2.18038256346433e-12, 3.23033120628279e-11, 8.01179568213400e-11},
+ {-6.55745274387847e-12, 1.22127104697198e-11, 5.83805016355883e-12, -8.31201582509817e-12, 1.90985373872656e-12},
+ {-2.89199983667265e-12, 5.05962500506667e-12, 1.28092925110279e-12, 5.60353813743813e-13, 1.76753731968770e-12},
+ {-1.61678729774956e-13, -3.92206170988615e-13, -9.04941327579237e-14, 1.89847694200763e-13, 4.10008676756463e-14},
+ {-1.16808369005656e-13, -9.97464591430510e-14, 7.46366550245722e-15, 2.53398578153179e-14, 1.06510689748906e-14},
+ {-0.000113716921384790, -0.000131902722651488, -0.000162844886485788, 7.90171538739454e-06, -0.000178768066961413},
+ {-2.13146535366500e-06, -3.57818705543597e-05, -1.50825855069298e-05, -2.17909259570022e-05, -8.19332236308581e-06},
+ {-2.88001138617357e-06, -2.09957465440793e-06, 6.81466526687552e-08, 3.58308906974448e-07, -4.18502067223724e-07},
+ {-1.10761444317605e-07, 6.91773860777929e-08, 8.17125372450372e-08, -2.16476237959181e-08, 7.59221970502074e-08},
+ {-9.56994224818941e-09, 6.64104921728432e-09, 6.33077902928348e-09, 2.85721181743727e-09, -6.39666681678123e-09},
+ {4.62558627839842e-10, -1.69014863754621e-09, -2.80260429599733e-10, 4.27558937623863e-11, -1.66926133269027e-10},
+ {-7.23385132663753e-11, 5.51961193545280e-11, 3.04070791942335e-11, 3.23227055919062e-12, 8.47312431934829e-11},
+ {-1.61189613765486e-11, 1.66868155925172e-11, 1.05370341694715e-11, -4.41495859079592e-12, -2.24939051401750e-12},
+ {-8.72229568056267e-13, 1.88613726203286e-12, 1.21711137534390e-14, -1.13342372297867e-12, -6.87151975256052e-13},
+ {7.99311988544090e-15, 4.46150979586709e-14, 7.50406779454998e-14, -3.20385428942275e-14, -1.26543636054393e-14},
+ {4.80503817699514e-14, -3.35545623603729e-14, -1.18546423610485e-14, 4.19419209985980e-15, -1.73525614436880e-14},
+ {-1.20464898830163e-15, -8.80752065000456e-16, -1.22214298993313e-15, 1.69928513019657e-15, 1.93593051311405e-16},
+ {1.68528879784841e-05, 3.57144412031081e-05, -1.65999910125077e-05, 5.40370336805755e-05, 0.000118138122851376},
+ {-3.28151779115881e-05, 1.04231790790798e-05, -2.80761862890640e-06, 2.98996152515593e-06, -2.67641158709985e-06},
+ {-2.08664816151978e-06, -1.64463884697475e-06, 6.79099429284834e-08, 7.23955842946495e-07, -6.86378427465657e-07},
+ {-2.88205823027255e-09, 2.38319699493291e-09, 1.14169347509045e-07, 8.12981074994402e-08, -1.56957943666988e-07},
+ {-7.09711403570189e-09, 6.29470515502988e-09, 3.50833306577579e-09, 8.31289199649054e-09, -2.14221463168338e-09},
+ {-8.11910123910038e-10, 3.34047829618955e-10, 3.70619377446490e-10, 3.30426088213373e-10, 4.86297305597865e-11},
+ {1.98628160424161e-11, -4.98557831380098e-12, -5.90523187802174e-12, -1.27027116925122e-12, 1.49982368570355e-11},
+ {2.62289263262748e-12, 3.91242360693861e-12, 6.56035499387192e-12, -1.17412941089401e-12, -9.40878197853394e-13},
+ {-3.37805010124487e-13, 5.39454874299593e-13, -2.41569839991525e-13, -2.41572016820792e-13, -3.01983673057198e-13},
+ {-1.85034053857964e-13, 4.31132161871815e-14, 4.13497222026824e-15, -4.60075514595980e-14, -1.92454846400146e-14},
+ {2.96113888929854e-15, -1.11688534391626e-14, 3.76275373238932e-15, -3.72593295948136e-15, 1.98205490249604e-16},
+ {1.40074667864629e-15, -5.15564234798333e-16, 3.56287382196512e-16, 5.07242777691587e-16, -2.30405782826134e-17},
+ {2.96822530176851e-16, -4.77029898301223e-17, 1.12782285532775e-16, 1.58443229778573e-18, 8.22141904662969e-17}
+ };
+
+ /** Legendre functions b<sub>nm</sub> for coefficient b<sub>h</sub>.*/
+ private static final double[][] BH_B = {
+ {0, 0, 0, 0, 0},
+ {0, 0, 0, 0, 0},
+ {-2.29210587053658e-06, -2.33805004374529e-06, -7.49312880102168e-07, -5.12022747852006e-07, 5.88926055066172e-07},
+ {0, 0, 0, 0, 0},
+ {-4.63382754843690e-06, -2.23853015662938e-06, 8.14830531656518e-07, 1.15453269407116e-06, -4.53555450927571e-07},
+ {-6.92432096320778e-07, -2.98734455136141e-07, 1.48085153955641e-08, 1.37881746148773e-07, -6.92492118460215e-09},
+ {0, 0, 0, 0, 0},
+ {-1.91507979850310e-06, -1.83614825459598e-06, -7.46807436870647e-07, -1.28329122348007e-06, 5.04937180063059e-07},
+ {-8.07527103916713e-07, 2.83997840574570e-08, -6.01890498063025e-08, -2.48339507554546e-08, 2.46284627824308e-08},
+ {-2.82995069303093e-07, 1.38818274596408e-09, 3.22731214161408e-09, 2.87731153972404e-10, 1.53895537278496e-08},
+ {0, 0, 0, 0, 0},
+ {-6.68210270956800e-07, -2.19104833297845e-06, 1.30116691657253e-07, 4.78445730433450e-07, -4.40344300914051e-07},
+ {-2.36946755740436e-07, -1.32730991878204e-07, 1.83669593693860e-08, 7.90218931983569e-08, -4.70161979232584e-08},
+ {1.07746083292179e-07, -4.17088637760330e-09, -1.83296035841109e-09, -5.80243971371211e-09, -2.11682361167439e-09},
+ {-5.44712355496109e-08, 1.89717032256923e-09, 2.27327316287804e-10, 7.78400728280038e-10, 8.82380487618991e-12},
+ {0, 0, 0, 0, 0},
+ {-5.61707049615673e-08, -1.09066447089585e-06, -2.25742250174119e-07, -8.64367795924377e-07, 1.06411275240680e-08},
+ {2.41782935157918e-08, -3.65762298303819e-08, -6.93420659586875e-08, -3.97316214341991e-08, -2.08767816486390e-08},
+ {6.38293030383436e-08, 1.11377936334470e-08, 6.91424941454782e-09, 1.39887159955004e-09, 5.25428749022906e-09},
+ {1.09291268489958e-08, 1.23935926756516e-10, 3.92917259954515e-10, -1.79144682483562e-10, -9.11802874917597e-10},
+ {-4.40957607823325e-09, 1.45751390560667e-10, 1.24641258165301e-10, -6.45810339804674e-11, -8.92894658893326e-12},
+ {0, 0, 0, 0, 0},
+ {1.54754294162102e-08, -1.60154742388847e-06, -4.08425188394881e-07, 6.18170290113531e-09, -2.58919765162122e-07},
+ {1.37130642286873e-08, -6.67813955828458e-08, -7.01410996605609e-09, 3.82732572660461e-08, -2.73381870915135e-08},
+ {2.19113155379218e-08, 4.11027496396868e-09, 6.33816020485226e-09, -1.49242411327524e-09, -6.14224941851705e-10},
+ {6.26573021218961e-09, 5.17137416480052e-10, -3.49784328298676e-10, 1.13578756343208e-10, 2.80414613398411e-10},
+ {1.65048133258794e-11, 1.00047239417239e-10, 1.05124654878499e-10, -3.03826002621926e-11, 4.57155388334682e-11},
+ {6.20221691418381e-11, 9.75852610098156e-12, -5.46716005756984e-12, 1.31643349569537e-11, 3.61618775715470e-12},
+ {0, 0, 0, 0, 0},
+ {-1.03938913012708e-06, -1.78417431315664e-07, 2.86040141364439e-07, 1.83508599345952e-08, -1.34452220464346e-07},
+ {-4.36557481393662e-08, 7.49780206868834e-09, -8.62829428674082e-09, 5.50577793039009e-09, -9.46897502333254e-09},
+ {3.43193738406672e-10, 1.13545447306468e-08, 1.25242388852214e-09, 6.03221501959620e-10, 1.57172070361180e-09},
+ {-4.73307591021391e-10, 1.70855824051391e-10, -2.62470421477037e-11, 2.04525835988874e-10, -1.17859695928164e-10},
+ {-3.36185995299839e-10, 3.19243054562183e-11, 1.17589412418126e-10, -1.35478747434514e-12, 5.11192214558542e-11},
+ {3.19640547592136e-11, 2.94297823804643e-12, -1.00651526276990e-11, -1.67028733953153e-12, 3.03938833625503e-12},
+ {1.68928641118173e-11, -7.90032886682002e-13, -1.40899773539137e-12, 7.76937592393354e-13, 7.32539820298651e-13},
+ {0, 0, 0, 0, 0},
+ {2.32949756055277e-07, 1.46237594908093e-07, -1.07770884952484e-07, 1.26824870644476e-07, -2.36345735961108e-08},
+ {8.89572676497766e-08, 7.24810004121931e-08, 2.67583556180119e-08, 2.48434796111361e-08, -3.55004782858686e-09},
+ {-1.00823909773603e-08, 8.84433929029076e-10, -2.55502517594511e-10, -5.48034274059119e-10, -8.50241938494079e-10},
+ {1.13259819566467e-09, 5.55186945221216e-10, 7.63679807785295e-11, -1.70067998092043e-11, 1.57081965572493e-10},
+ {-2.37748192185353e-10, 2.45463764948000e-11, 3.23208414802860e-11, -2.72624834520723e-12, 8.14449183666500e-12},
+ {-1.54977633126025e-11, 4.58754903157884e-12, -1.25864665839074e-12, 2.44139868157872e-12, -1.82827441958193e-12},
+ {3.28285563794513e-12, -1.10072329225465e-12, -7.23470501810935e-13, 5.85309745620389e-13, 4.11317589687125e-13},
+ {4.57596974384170e-13, 9.84198128213558e-14, 3.34503817702830e-14, 7.08431086558307e-15, 2.79891177268807e-14},
+ {0, 0, 0, 0, 0},
+ {-3.67820719155580e-07, 6.98497901205902e-07, 1.83397388750300e-07, 2.39730262495372e-07, -2.58441984368194e-07},
+ {5.17793954077994e-08, 5.54614175977835e-08, 1.75026214305232e-09, -2.55518450411346e-09, -6.12272723006537e-09},
+ {-7.94292648157198e-09, -1.01709107852895e-09, -1.49251241812310e-09, 9.32827213605682e-10, -8.24490722043118e-10},
+ {1.36410408475679e-11, 2.16390220454971e-10, 1.24934806872235e-10, -6.82507825145903e-11, -4.01575177719668e-11},
+ {-1.41619917600555e-11, -1.54733230409082e-11, 1.36792829351538e-11, 1.11157862104733e-12, 2.08548465892268e-11},
+ {-3.56521723755846e-12, 4.47877185884557e-12, -6.34096209274637e-16, -1.13010624512348e-12, -2.82018136861041e-13},
+ {2.22758955943441e-12, -4.63876465559380e-13, -5.80688019272507e-13, 2.45878690598655e-13, 1.49997666808106e-13},
+ {-6.26833903786958e-14, 2.73416335780807e-14, 1.91842340758425e-14, 1.67405061129010e-14, -2.45268543953704e-17},
+ {1.81972870222228e-14, 5.43036245069085e-15, 1.92476637107321e-15, 8.78498602508626e-17, -1.42581647227657e-15},
+ {0, 0, 0, 0, 0},
+ {9.74322164613392e-07, -5.23101820582724e-07, -2.81997898176227e-07, 4.54762451707384e-08, -3.34645078118827e-08},
+ {-6.75813194549663e-09, 3.49744702199583e-08, -5.09170419895883e-09, 5.24359476874755e-09, 4.96664262534662e-09},
+ {4.53858847892396e-10, -1.49347392165963e-09, -2.00939511362154e-09, 9.30987163387955e-10, 9.74450200826854e-11},
+ {-4.92900885858693e-10, 5.34223033225688e-12, 1.08501839729368e-10, -6.43526142089173e-11, -3.11063319142619e-11},
+ {1.38469246386690e-11, -7.91180584906922e-12, 2.26641656746936e-13, 4.55251515177956e-12, 6.05270575117769e-12},
+ {4.02247935664225e-12, 1.82776657951829e-12, -1.28348801405445e-13, -2.16257301300350e-13, -5.54363979435025e-14},
+ {4.15005914461687e-13, -2.00647573581168e-13, -1.67278251942946e-13, 1.30332398257985e-13, 1.52742363652434e-13},
+ {6.36376500056974e-14, 1.65794532815776e-14, -3.80832559052662e-15, -6.40262894005341e-16, 2.42577181848072e-15},
+ {-5.55273521249151e-15, 3.69725182221479e-15, 2.02114207545759e-15, -4.50870833392161e-16, 9.62950493696677e-17},
+ {1.00935904205024e-17, 6.54751873609395e-17, -1.09138810997186e-16, -8.62396750098759e-17, -3.82788257844306e-17},
+ {0, 0, 0, 0, 0},
+ {4.21958510903678e-07, -8.30678271007705e-08, -3.47006439555247e-07, -3.36442823712421e-08, 9.90739768222027e-08},
+ {2.64389033612742e-08, 2.65825090066479e-09, -1.28895513428522e-08, -7.07182694980098e-10, 7.10907165301180e-09},
+ {6.31203524153492e-09, -1.67038260990134e-09, 1.33104703539822e-09, 8.34376495185149e-10, -2.52478613522612e-10},
+ {1.18414896299279e-10, -2.57745052288455e-11, 2.88295935685818e-11, -3.27782977418354e-11, -1.05705000036156e-11},
+ {-4.20826459055091e-12, -6.97430607432268e-12, -3.90660545970607e-12, -3.90449239948755e-13, -4.60384797517466e-13},
+ {-9.47668356558200e-13, 6.53305025354881e-13, 2.63240185434960e-13, 1.40129115015734e-13, 3.85788887132074e-14},
+ {2.23947810407291e-13, 7.35262771548253e-15, -3.83348211931292e-14, 4.20376514344176e-14, 4.26445836468461e-14},
+ {-3.88008154470596e-16, 2.28561424667750e-15, -8.73599966653373e-16, 2.14321147947665e-15, 6.38631825071920e-16},
+ {-8.62165565535721e-15, 1.79742912149810e-15, 1.01541125038661e-15, -7.91027655831866e-17, -4.06505132825230e-16},
+ {-2.35355054392189e-16, -6.13997759731013e-17, -2.73490528665965e-17, 2.63895177155121e-17, -4.47531057245187e-18},
+ {6.01909706823530e-17, 5.35520010856833e-18, -2.15530106132531e-18, -2.46778496746231e-18, -7.09947296442799e-19},
+ {0, 0, 0, 0, 0},
+ {-3.75005956318736e-07, -5.39872297906819e-07, -1.19929654883034e-07, 4.52771083775007e-08, 1.82790552943564e-07},
+ {7.82606642505646e-09, -1.68890832383153e-08, -8.45995188378997e-09, 1.42958730598502e-09, 3.21075754133531e-09},
+ {4.28818421913782e-09, -1.07501469928219e-09, 8.84086350297418e-10, 9.74171228764155e-10, 8.59877149602304e-12},
+ {1.28983712172521e-10, -6.96375160373676e-11, -2.13481436408896e-11, 1.33516375568179e-11, -1.65864626508258e-11},
+ {-4.48914384622368e-12, 9.68953616831263e-13, -1.61372463422897e-12, -2.09683563440448e-12, -1.90096826314068e-12},
+ {-1.12626619779175e-13, 3.34903159106509e-14, -1.21721528343657e-13, 7.46246339290354e-14, 3.68424909859186e-13},
+ {5.08294274367790e-14, 2.83036159977090e-14, 1.48074873486387e-14, -9.59633528834945e-15, -1.26231060951100e-14},
+ {-4.01464098583541e-16, 1.97047929526674e-15, -5.29967950447497e-16, -3.59120406619931e-16, 1.69690933982683e-16},
+ {-1.73919209873841e-15, 7.52792462841274e-16, 3.65589287101147e-16, -7.79247612043812e-17, -8.24599670368999e-17},
+ {-4.61555616150128e-17, 4.94529746019753e-19, -1.09858157212270e-17, 3.95550811124928e-18, 3.23972399884100e-18},
+ {-2.27040686655766e-17, -3.27855689001215e-18, -3.30649011116861e-19, 9.08748546536849e-19, 8.92197599890994e-19},
+ {5.67241944733762e-18, 3.84449400209976e-19, 1.77668058015537e-19, 2.00432838283455e-20, -2.00801461564767e-19}
+ };
+
+ /** Legendre functions b<sub>nm</sub> for coefficient b<sub>w</sub>.*/
+ private static final double[][] BW_B = {
+ {0, 0, 0, 0, 0},
+ {0, 0, 0, 0, 0},
+ {-9.56715196386889e-06, -3.68040633020420e-08, 1.27846786489883e-07, 1.32525487755973e-06, 1.53075361125066e-06},
+ {0, 0, 0, 0, 0},
+ {-7.17682617983607e-06, 2.89994188119445e-06, -2.97763578173405e-07, 8.95742089134942e-07, 3.44416325304006e-07},
+ {-8.02661132285210e-07, 3.66738692077244e-07, -3.02880965723280e-07, 3.54144282036103e-07, -1.68873066391463e-07},
+ {0, 0, 0, 0, 0},
+ {-2.89640569283461e-06, -7.83566373343614e-07, -8.36667214682577e-07, -7.41891843549121e-07, -9.23922655636489e-08},
+ {-1.06144662284862e-06, 1.57709930505924e-07, 1.04203025714319e-07, 1.20783300488461e-07, -1.38726055821134e-07},
+ {-4.16549018672265e-07, -1.35220897698872e-07, -6.40269964829901e-08, 1.63258283210837e-08, -2.57958025095959e-08},
+ {0, 0, 0, 0, 0},
+ {3.52324885892419e-06, -2.26705543513814e-07, 1.53835589488292e-06, -3.75263061267433e-07, 3.69384057396017e-07},
+ {-2.06569149157664e-07, -9.36260183227175e-08, -3.55985284353048e-08, -9.13671163891094e-08, 6.93156256562600e-09},
+ {1.32437594740782e-07, 4.44349887272663e-08, -3.38192451721674e-08, -3.97263855781102e-08, -1.93087822995800e-09},
+ {-1.29595244818942e-07, -1.40852985547683e-08, 1.42587592939760e-09, 7.05779876554001e-09, -1.00996269264535e-08},
+ {0, 0, 0, 0, 0},
+ {4.06960756215938e-06, -1.97898540226986e-06, 7.21905857553588e-08, -1.19908881538755e-06, -5.67561861536903e-08},
+ {6.53369660286999e-08, -2.42818687866392e-07, -1.66203004559493e-08, -2.41512414151897e-08, 4.45426333411018e-08},
+ {1.44650670663281e-07, 8.50666367433859e-09, -4.61165612004307e-09, 4.88527987491045e-09, 1.06277326713172e-08},
+ {1.86770937103513e-08, -6.44197940288930e-10, -7.60456736846174e-09, -9.97186468682689e-10, 8.73229752697716e-10},
+ {-1.00206566229113e-08, 1.33934372663121e-09, 1.41691503439220e-09, 8.72352590578753e-10, -8.04561626629829e-10},
+ {0, 0, 0, 0, 0},
+ {3.07161843116618e-06, 1.82962085656470e-06, 1.87728623016069e-07, 7.10611617623261e-07, 2.26499092250481e-07},
+ {4.50766403064905e-08, -1.67752393078256e-07, 2.47844723639070e-08, -3.56484348424869e-09, -1.56634836636584e-08},
+ {3.77011651881090e-08, -7.23045828480496e-09, 5.22995988863761e-09, -1.03740320341306e-09, 4.57839777217789e-09},
+ {8.09495635883121e-09, -3.01977244420529e-10, -2.30104544933093e-09, 3.63658580939428e-10, 4.39320811714867e-10},
+ {9.37087629961269e-11, 1.00780920426635e-09, 1.28140539913350e-10, -6.65795285522138e-12, 4.71732796198631e-11},
+ {-8.88504487069155e-11, -1.63253810435461e-10, 7.22669710644299e-11, 5.64715132584527e-11, -1.08949308197617e-12},
+ {0, 0, 0, 0, 0},
+ {-2.64054293284174e-07, -2.37611606117256e-06, -1.83671059706264e-06, -3.12199354841993e-07, -1.05598289276114e-07},
+ {7.41706968747147e-08, -1.64359098062646e-08, -3.09750224040234e-08, -9.68640079410317e-09, -7.90399057863403e-08},
+ {-1.00254376564271e-08, 1.12528248631191e-08, -2.67841549174100e-09, -2.69481819323647e-09, 1.56550607475331e-09},
+ {-2.18568129350729e-09, 6.26422056977450e-10, 1.95007291427316e-09, 3.14226463591125e-10, -3.62000388344482e-10},
+ {-9.30451291747549e-10, 5.62175549482704e-11, 1.01022849902012e-10, 5.18675856498499e-11, 5.37561696283235e-11},
+ {5.33151334468794e-11, 1.07571307336725e-10, -1.31714567944652e-11, -4.17524405900018e-11, -2.16737797893502e-12},
+ {4.69916869001309e-11, -4.34516364859583e-12, -6.61054225868897e-12, -5.75845818545368e-12, -2.32180293529175e-12},
+ {0, 0, 0, 0, 0},
+ {-3.50305843086926e-06, 1.76085131953403e-06, 8.16661224478572e-07, 4.09111042640801e-07, -9.85414469804995e-08},
+ {1.44670876127274e-07, -1.41331228923029e-08, -3.06530152369269e-08, -1.46732098927996e-08, -2.30660839364244e-08},
+ {-2.00043052422933e-08, 1.72145861031776e-09, 2.13714615094209e-09, 1.02982676689194e-09, -1.64945224692217e-10},
+ {1.23552540016991e-09, 1.42028470911613e-09, 8.79622616627508e-10, -7.44465600265154e-10, -7.17124672589442e-11},
+ {-6.67749524914644e-10, -5.77722874934050e-11, 3.40077806879472e-11, 4.26176076541840e-11, 8.23189659748212e-11},
+ {-4.62771648935992e-11, -7.24005305716782e-13, 1.18233730497485e-12, 5.18156973532267e-12, -1.53329687155297e-12},
+ {4.75581699468619e-12, -3.79782291469732e-12, 1.33077109836853e-12, -1.02426020107120e-12, 3.10385019249130e-13},
+ {1.66486090578792e-12, 1.08573672403649e-12, 1.26268044166279e-13, -1.23509297742757e-13, -1.81842007284038e-13},
+ {0, 0, 0, 0, 0},
+ {9.93870680202303e-08, -1.85264736035628e-06, -5.58942734710854e-07, -5.54183448316270e-07, -3.95581289689398e-08},
+ {7.88329069002365e-08, 2.04810091451078e-08, 3.74588851000076e-09, 3.42429296613803e-08, -2.00840228416712e-08},
+ {-5.93700447329696e-10, -6.57499436973459e-10, -6.90560448220751e-09, 3.56586371051089e-09, 7.33310245621566e-11},
+ {-6.38101662363634e-11, 4.23668020216529e-10, -2.43764895979202e-10, -9.31466610703172e-11, -3.17491457845975e-10},
+ {1.50943725382470e-11, -6.11641188685078e-11, -4.37018785685645e-11, -2.32871158949602e-11, 4.19757251950526e-11},
+ {-1.18165328825853e-11, -9.91299557532438e-13, 6.40908678055865e-14, 2.41049422936434e-12, -8.20746054454953e-14},
+ {6.01892101914838e-12, -8.78487122873450e-13, -1.58887481332294e-12, -3.13556902469604e-13, 5.14523727801645e-14},
+ {-1.50791729401891e-13, -1.45234807159695e-13, 1.65302377570887e-13, -5.77094211651483e-15, 9.22218953528393e-14},
+ {-1.85618902787381e-14, 5.64333811864051e-14, -9.94311377945570e-15, -2.40992156199999e-15, -2.19196760659665e-14},
+ {0, 0, 0, 0, 0},
+ {-8.16252352075899e-08, 1.61725487723444e-06, 9.55522506715921e-07, 4.02436267433511e-07, -2.80682052597712e-07},
+ {7.68684790328630e-09, -5.00940723761353e-09, -2.43640127974386e-08, -2.59119930503129e-08, 3.35015169182094e-08},
+ {7.97903115186673e-09, 3.73803883416618e-09, 3.27888334636662e-09, 1.37481300578804e-09, -1.10677168734482e-10},
+ {-1.67853012769912e-09, -1.61405252173139e-10, -1.98841576520056e-10, -1.46591506832192e-11, 9.35710487804660e-11},
+ {4.08807084343221e-11, -3.74514169689568e-11, -3.03638493323910e-11, -5.02332555734577e-12, -8.03417498408344e-12},
+ {6.48922619024579e-12, 1.96166891023817e-12, -1.96968755122868e-12, -5.20970156382361e-12, -1.62656885103402e-12},
+ {1.28603518902875e-12, -4.88146958435109e-13, -3.37034886991840e-13, 1.37393696103000e-14, 4.41398325716943e-14},
+ {1.48670014793021e-13, 4.41636026364555e-14, 2.06210477976005e-14, -3.43717583585390e-14, -1.21693704024213e-14},
+ {-1.67624180330244e-14, 6.59317111144238e-15, 2.57238525440646e-15, -3.21568425020512e-17, 5.29659568026553e-15},
+ {7.85453466393227e-16, 6.91252183915939e-16, -1.20540764178454e-15, -3.85803892583301e-16, 3.46606994632006e-16},
+ {0, 0, 0, 0, 0},
+ {2.86710087625579e-06, -1.68179842305865e-06, -8.48306772016870e-07, -7.08798062479598e-07, -1.27469453733635e-07},
+ {2.11824305734993e-09, 2.02274279084379e-08, 1.61862253091554e-08, 3.25597167111807e-08, 3.40868964045822e-09},
+ {1.21757111431438e-08, 1.68405530472906e-09, 1.55379338018638e-09, -3.81467795805531e-10, 2.53316405545058e-09},
+ {-9.98413758659768e-11, 5.38382145421318e-10, 3.92629628330704e-10, -1.43067134097778e-10, 3.74959329667113e-12},
+ {-1.57270407028909e-11, -9.02797202317592e-12, 8.45997059887690e-12, 4.71474382524218e-12, 5.41880986596427e-12},
+ {-1.20658618702054e-12, 7.12940685593433e-13, 1.02148613026937e-12, 1.63063852348169e-13, 1.74048793197708e-13},
+ {3.80559390991789e-13, 1.19678271353485e-13, 9.72859455604188e-14, 5.42642400031729e-14, 8.18796710714586e-14},
+ {-4.69629218656902e-14, 5.59889038686206e-15, 2.05363292795059e-15, 5.38599403288686e-15, -2.68929559474202e-15},
+ {-1.88759348081742e-14, 5.20975954705924e-15, -4.43585653096395e-16, 5.57436617793556e-16, -3.95922805817677e-16},
+ {-9.80871456373282e-16, 2.50857658461759e-17, -1.24253000050963e-16, 6.00857065211394e-17, 3.53799635311500e-18},
+ {2.49370713054872e-16, -1.49119714269816e-17, -3.12276052640583e-17, -2.42001662334001e-17, -1.69766504318143e-17},
+ {0, 0, 0, 0, 0},
+ {-1.69222102455713e-06, 1.64277906173064e-06, 5.28855114364096e-07, 4.28159853268650e-07, -1.57362445882665e-07},
+ {1.67656782413678e-08, -3.77746114074055e-08, -2.21564555842165e-08, -3.37071806992217e-08, 1.47454008739800e-08},
+ {1.06080499491408e-08, 3.21990403709678e-09, 3.87301757435359e-09, 2.92241827834347e-10, -1.86619473655742e-11},
+ {1.62399669665839e-10, 3.51322865845172e-10, 2.67086377702958e-11, -1.31596563625491e-10, 3.14164569507034e-11},
+ {-2.02180016657259e-11, 2.03305178342732e-11, 6.34969032565839e-12, 5.99522296668787e-12, -4.46275273451008e-12},
+ {-9.88409290158885e-13, -1.47692750858224e-13, 3.14655550730530e-13, -2.41857189187879e-13, 4.47727504501486e-13},
+ {1.71430777754854e-13, 1.73950835042486e-13, 5.92323956541558e-14, 8.06625710171825e-15, 2.33252485755634e-14},
+ {-1.74184545690134e-15, -8.18003353124179e-16, -6.62369006497819e-16, 4.16303374396147e-15, 7.06513748014024e-15},
+ {-6.02936238677014e-15, 1.89241084885229e-15, 1.99097881944270e-17, -6.99974290696640e-16, -2.69504942597709e-17},
+ {-4.65632962602379e-16, 3.70281995445114e-18, -9.04232973763345e-17, 2.20847370761932e-17, 7.62909453726566e-17},
+ {-6.25921477907943e-17, -2.10532795609842e-17, -1.03808073867183e-17, 1.15091380049019e-18, 4.66794445408388e-19},
+ {9.39427013576903e-18, 9.17044662931859e-19, 2.04132745117549e-18, -1.72364063154625e-19, -1.18098896532163e-18}
+ };
+
+ /** Legendre functions b<sub>nm</sub> for coefficient c<sub>h</sub>.*/
+ private static final double[][] CH_B = {
+ {0, 0, 0, 0, 0},
+ {0, 0, 0, 0, 0},
+ {3.44092035729033e-05, -1.21876825440561e-05, -1.87490665238967e-05, -2.60980336247863e-05, 4.31639313264615e-06},
+ {0, 0, 0, 0, 0},
+ {-2.60125613000133e-05, 1.70570295762269e-05, 3.08331896996832e-05, 1.66256596588688e-05, -1.07841055501996e-05},
+ {8.74011641844073e-06, -2.25874169896607e-06, 6.50985196673747e-07, 1.30424765493752e-06, -1.85081244549542e-07},
+ {0, 0, 0, 0, 0},
+ {3.77496505484964e-05, -1.08198973553337e-05, -1.67717574544937e-05, -3.22476096673598e-05, 1.12281888201134e-05},
+ {-7.68623378647958e-07, -4.01400837153063e-06, -2.16390246700835e-06, -1.76912959937924e-06, -1.12740084951955e-06},
+ {-2.37092815818895e-06, -9.52317223759653e-07, -2.22722065579131e-07, -6.25157619772530e-08, 1.86582003894639e-08},
+ {0, 0, 0, 0, 0},
+ {-6.10254317785872e-05, -2.51815503068494e-05, 2.01046207874667e-05, 7.21107723367308e-06, -1.30692058660457e-05},
+ {-9.60655417241537e-06, -7.31381721742373e-06, -2.52767927589636e-06, 9.09039973214621e-07, -6.76454911344246e-07},
+ {-2.25743206384908e-08, 2.33058746737575e-07, 2.24746779293445e-07, 6.78551351968876e-08, 1.25076011387284e-07},
+ {-2.25744112770133e-07, -1.44429560891636e-07, -2.96810417448652e-08, -5.93858519742856e-08, -2.43210229455420e-08},
+ {0, 0, 0, 0, 0},
+ {7.45721015256308e-06, -3.81396821676410e-05, -1.41086198468687e-05, -2.28514517574713e-05, 7.28638705683277e-06},
+ {-5.77517778169692e-06, -3.93061211403839e-06, -2.17369763310752e-06, -1.48060935583664e-07, -2.74200485662814e-07},
+ {4.52962035878238e-07, 9.80990375495214e-07, 4.67492045269286e-07, -8.31032252212116e-09, 1.69426023427740e-07},
+ {7.20536791795515e-10, 2.75612253452141e-09, 2.47772119382536e-09, 4.30621825021233e-09, -2.86498479499428e-08},
+ {-2.46253956492716e-08, -3.10300833499669e-09, 8.06559148724445e-09, 2.98197408430123e-10, 6.32503656532846e-09},
+ {0, 0, 0, 0, 0},
+ {-6.01147094179306e-05, -3.16631758509869e-05, 4.10038115100010e-06, 3.55215057231403e-07, -2.23606515237408e-06},
+ {-2.85937516921923e-06, -3.67775706610630e-06, -5.06445540401637e-07, 8.21776759711184e-07, -5.98690271725558e-07},
+ {7.77122595418965e-07, 3.60896376754085e-07, 3.88610487893381e-07, -4.39533892679537e-08, -6.26882227849174e-08},
+ {1.05759993661891e-07, 2.58009912408833e-08, -1.51356049060972e-08, -1.13335813107412e-09, 5.37470857850370e-10},
+ {7.99831506181984e-09, 1.67423735327465e-09, 2.94736760548677e-09, -1.56727133704788e-09, 8.46186800849124e-10},
+ {3.07727104043851e-09, 3.93584215798484e-10, 3.86721562770643e-11, 1.72181091277391e-10, -2.16915737920145e-10},
+ {0, 0, 0, 0, 0},
+ {-1.16335389078126e-05, -1.39864676661484e-05, 2.52546278407717e-06, -8.79152625440188e-06, -8.97665132187974e-06},
+ {-3.95874550504316e-06, -1.17976262528730e-07, 7.03189926369300e-07, 3.38907065351535e-07, -3.67714052493558e-07},
+ {2.29082449370440e-07, 5.72961531093329e-07, 4.21969662578894e-08, 1.24112958141431e-08, 9.56404486571888e-08},
+ {1.44631865298671e-09, 6.19368473895584e-09, 1.67110424041236e-09, 2.57979463602951e-09, -6.90806907510366e-09},
+ {1.77235802019153e-09, -8.14388846228970e-10, 4.50421956523579e-09, 5.67452314909707e-10, 2.47610443675560e-09},
+ {4.85932343880617e-10, 2.24864117422804e-10, -2.22534534468511e-10, -7.96395824973477e-11, 3.12587399902493e-12},
+ {-3.20173937255409e-11, -1.29872402028088e-11, -4.24092901203818e-11, 2.66570185704416e-11, -5.25164954403909e-12},
+ {0, 0, 0, 0, 0},
+ {-1.36010179191872e-05, 1.77873053642413e-05, 4.80988546657119e-06, 3.46859608161212e-06, -1.73247520896541e-06},
+ {2.00020483116258e-06, 2.43393064079673e-06, 1.21478843695862e-06, 1.95582820041644e-07, -3.11847995109088e-07},
+ {-8.13287218979310e-09, 1.05206830238665e-08, 6.54040136224164e-09, -1.96402660575990e-08, -1.40379796070732e-08},
+ {4.01291020310740e-08, 2.92634301047947e-08, 6.04179709273169e-09, 8.61849065020545e-10, 5.98065429697245e-09},
+ {-1.06149335032911e-09, -4.39748495862323e-10, 8.83040310269353e-10, 3.49392227277679e-10, 8.57722299002622e-10},
+ {-1.25049888909390e-11, 2.05203288281631e-10, 1.37817670505319e-11, 6.82057794430145e-11, -9.41515631694254e-11},
+ {7.47196022644130e-12, -2.51369898528782e-11, -2.12196687809200e-11, 1.55282119505201e-11, 9.99224438231805e-12},
+ {-7.90534019004874e-13, 3.55824506982589e-12, 8.00835777767281e-13, 8.73460019069655e-13, 1.34176126600106e-12},
+ {0, 0, 0, 0, 0},
+ {3.12855262465316e-05, 1.31629386003608e-05, 2.65598119437581e-06, 8.68923340949135e-06, -7.51164082949678e-06},
+ {1.56870792650533e-06, 1.89227301685370e-06, 4.15620385341985e-07, -2.74253787880603e-07, -4.28826210119200e-07},
+ {-9.99176994565587e-08, -1.10785129426286e-07, -1.10318125091182e-07, 6.22726507350764e-09, -3.39214566386250e-08},
+ {1.24872975018433e-08, 1.10663206077249e-08, 5.40658975901469e-09, -2.79119137105115e-09, -2.47500096192502e-09},
+ {1.11518917154060e-10, -4.21965763244849e-10, 3.26786005211229e-10, 1.93488254914545e-10, 7.00774679999972e-10},
+ {1.50889220040757e-10, 1.03130002661366e-10, -3.09481760816903e-11, -4.47656630703759e-11, -7.36245021803800e-12},
+ {-1.91144562110285e-12, -1.11355583995978e-11, -1.76207323352556e-11, 8.15289793192265e-12, 3.45078925412654e-12},
+ {-2.73248710476019e-12, -1.65089342283056e-13, -2.20125355220819e-13, 5.32589191504356e-13, 5.70008982140874e-13},
+ {8.06636928368811e-13, 1.30893069976672e-13, 9.72079137767479e-14, 3.87410156264322e-14, -5.56410013263563e-14},
+ {0, 0, 0, 0, 0},
+ {2.02454485403216e-05, -9.77720471118669e-06, -4.35467548126223e-06, 2.19599868869063e-06, -3.26670819043690e-06},
+ {-3.21839256310540e-08, 8.38760368015005e-07, -5.08058835724060e-07, 4.16177282491396e-08, 1.53842592762120e-07},
+ {-1.57377633165313e-07, -7.86803586842404e-08, -7.40444711426898e-08, 3.15259864117954e-08, 5.60536231567172e-09},
+ {-3.26080428920229e-10, -3.14576780695439e-09, 8.46796096612981e-10, -2.59329379174262e-09, -8.01054756588382e-10},
+ {-4.58725236153576e-11, -6.87847958546571e-11, 8.18226480126754e-12, 1.81082075625897e-10, 1.74510532938256e-10},
+ {7.60233505328792e-11, 4.76463939581321e-11, -2.47198455442033e-11, -8.83439688929965e-12, 5.93967446277316e-13},
+ {-8.92919292558887e-12, -4.38524572312029e-12, -4.02709146060896e-12, 4.84344426425295e-12, 5.12869042781520e-12},
+ {1.91518361809952e-12, 3.06846255371817e-13, -2.44830265306345e-13, 7.86297493099244e-14, 2.72347805801980e-13},
+ {9.09936624159538e-14, 7.20650818861447e-15, 2.45383991578283e-14, -4.79580974186462e-15, 3.64604724046944e-14},
+ {-4.63611142770709e-14, 1.73908246420636e-15, -4.41651410674801e-15, -6.61409045306922e-16, -1.60016049099639e-15},
+ {0, 0, 0, 0, 0},
+ {6.17105245892845e-06, -1.04342983738457e-05, -1.72711741097994e-05, -8.16815967888426e-07, 3.42789959967593e-06},
+ {-2.44014060833825e-07, 2.06991837444652e-07, -3.85805819475679e-07, 1.67162359832166e-08, 4.15139610402483e-07},
+ {8.18199006804020e-08, -3.20013409049159e-08, 5.94000906771151e-08, 2.24122167188946e-08, -1.33796186160409e-08},
+ {7.66269294674338e-11, -6.07862178874828e-10, 4.95795757186248e-10, -3.07589245481422e-10, 3.44456287710689e-10},
+ {-1.84076250254929e-10, -1.30985312312781e-10, -1.52547325533276e-10, -2.51000125929512e-11, -1.93924012590455e-11},
+ {-2.93307452197665e-11, 2.88627386757582e-11, 5.58812021182217e-12, -1.68692874069187e-13, 1.80464313900575e-12},
+ {-9.59053874473003e-13, 6.04803122874761e-13, -9.80015608958536e-13, 1.70530372034214e-12, 1.70458664160775e-12},
+ {2.80169588226043e-13, 9.09573148053551e-14, 2.16449186617004e-14, 1.15550091496353e-13, 4.97772796761321e-14},
+ {-3.04524400761371e-14, 3.42845631349694e-14, 2.44230630602064e-14, 5.76017546103056e-16, -9.74409465961093e-15},
+ {5.98765340844291e-15, -2.63942474859535e-15, -1.80204805804437e-15, -1.84981819321183e-16, -5.85073392163660e-16},
+ {-2.37069441910133e-15, 2.87429226086856e-16, -1.67055963193389e-16, 2.72110684914090e-18, 8.46646962667892e-17},
+ {0, 0, 0, 0, 0},
+ {-2.71386164105722e-05, -1.41834938338454e-05, -2.00777928859929e-07, 5.94329804681196e-07, 8.61856994375586e-06},
+ {-3.93656495458664e-08, -6.36432821807576e-07, -2.47887475106438e-07, -2.64906446204966e-08, 1.10689794197004e-07},
+ {5.25319489188562e-08, 9.00866357158695e-09, 5.00693379572512e-08, 2.47269011056404e-08, -7.27648556194598e-09},
+ {1.87207107149043e-09, -1.46428282396138e-09, -2.71812237167257e-10, 8.44902265891466e-10, -5.62683870906027e-10},
+ {-1.08295119666184e-10, 4.75553388543793e-11, -5.49429386495686e-11, -6.60907871731611e-11, -5.97347322824822e-11},
+ {-4.95118306815571e-12, 5.31083735234970e-13, -1.93679746327378e-12, -1.61770521840510e-12, 1.23276727202510e-11},
+ {6.68582682909900e-13, 7.38288575160449e-13, 5.47630483499201e-13, -1.00770258118914e-13, -1.65564928475981e-13},
+ {5.80963409268471e-14, 6.93474288078737e-14, 6.60728092794315e-15, -5.21029056725202e-15, -1.11283532854883e-16},
+ {-4.10567742688903e-15, 1.62252646805882e-14, 1.00774699865989e-14, -2.44793214897877e-16, -1.59283906414563e-15},
+ {1.84669506619904e-17, 8.28473337813919e-17, -1.53400662078899e-16, -5.01060672199689e-17, -2.20727935766132e-16},
+ {2.65355116203636e-16, -3.70233146147684e-17, 3.52689394451586e-18, -8.62215942516328e-18, 9.26909361974526e-18},
+ {9.94266950643135e-17, 4.17028699663441e-18, -7.65153491125819e-21, -5.62131270981041e-18, -3.03732817297438e-18}
+ };
+
+ /** Legendre functions b<sub>nm</sub> for coefficient c<sub>w</sub>.*/
+ private static final double[][] CW_B = {
+ {0, 0, 0, 0, 0},
+ {0, 0, 0, 0, 0},
+ {-0.000209104872912563, -1.41530274973540e-05, 3.00318745764815e-05, -1.82864291318284e-05, -7.62965409959238e-06},
+ {0, 0, 0, 0, 0},
+ {-0.000186336519900275, 0.000191256553935638, 7.28356195304996e-05, 3.59637869639906e-05, -2.53927226167388e-05},
+ {0.000108195343799485, -6.97050977217619e-05, -6.68037133871099e-05, 2.30387653190503e-05, -1.22735483925784e-05},
+ {0, 0, 0, 0, 0},
+ {0.000119941091277039, -7.70547844186875e-05, -8.15376297964528e-05, 1.06005789545203e-05, 2.31177232268720e-05},
+ {-1.77494760217164e-05, -1.37061385686605e-05, -1.74805936475816e-05, -6.91745900867532e-07, -7.10231790947787e-06},
+ {-1.47564103733219e-05, 2.08890785485260e-06, 3.19876879447867e-06, 9.43984664503715e-07, -4.90480527577521e-06},
+ {0, 0, 0, 0, 0},
+ {4.93300138389457e-05, -6.77641298460617e-05, -3.25043347246397e-05, 8.33226714911921e-06, 8.11499972792905e-06},
+ {-2.80449863471272e-05, -1.04367606414606e-05, 1.64473584641163e-07, -3.57420965807816e-06, 2.95887156564038e-06},
+ {1.88835280111533e-06, 5.69125761193702e-07, -2.22757382799409e-06, -1.96699131032252e-07, -2.91861219283659e-07},
+ {-4.69918971436680e-06, -7.00778948636735e-07, 2.97544157334673e-09, 3.86100512544410e-07, 2.30939653701027e-07},
+ {0, 0, 0, 0, 0},
+ {1.77050610394149e-05, -3.18353071311574e-05, 3.04232260950316e-05, -6.26821316488169e-05, -1.75094810002378e-06},
+ {9.25605901565775e-06, -8.25179123302247e-06, 6.74032752408358e-06, 3.22192289084524e-06, 6.09414500075259e-06},
+ {4.28233825242200e-06, 2.10470570087927e-07, -4.75050074985668e-07, -4.89382663470592e-07, 8.75232347469207e-07},
+ {8.50393520366934e-07, 1.58764911467186e-07, -2.16267638321210e-07, -7.43341300487416e-10, 1.75131729813230e-07},
+ {-2.87064111623119e-07, 4.50393893102830e-08, 6.63315044416690e-08, 7.61199387418853e-08, -6.05694385243652e-09},
+ {0, 0, 0, 0, 0},
+ {-1.95692079507947e-05, 5.15486098887851e-05, 3.00852761598173e-05, 1.21485028343416e-05, -6.72450521493428e-06},
+ {5.34496867088158e-06, 3.90973451680699e-06, 3.70148924718425e-06, 5.73731499938212e-08, 5.52258220288780e-07},
+ {3.39950838185315e-07, -5.63443976772634e-07, 4.52082211980595e-07, -2.57094645806243e-07, -6.84885762924729e-08},
+ {2.15793276880684e-07, 2.05911354090873e-07, 1.33747872341142e-08, -2.07997626478952e-08, -3.69812938736019e-08},
+ {2.11952749403224e-09, 4.04317822544732e-08, 2.40972024883650e-09, 8.56289126938059e-09, 2.31035283490200e-08},
+ {-2.08402298813248e-09, -8.50243600879112e-09, 2.60895410117768e-09, -6.69156841738591e-10, -5.16280278087006e-09},
+ {0, 0, 0, 0, 0},
+ {0.000124901291436683, -5.70770326719086e-05, -8.44887248105015e-05, -3.11442665354698e-05, -1.12982893252046e-05},
+ {-8.38934444233944e-06, 1.56860091415414e-06, -1.77704563531825e-06, -5.70219068898717e-08, -4.30377735031244e-06},
+ {3.72965318017681e-07, 6.98175439446187e-07, 1.75760544807919e-08, 1.59731284857151e-07, 3.62363848767891e-07},
+ {-2.32148850787091e-07, -4.21888751852973e-08, 8.35926113952108e-08, -2.24572480575674e-08, -6.92114100904503e-08},
+ {-2.92635642210745e-09, 3.38086229163415e-09, 4.72186694662901e-09, -8.32354437305758e-11, 4.19673890995627e-09},
+ {-1.26452887692900e-09, 1.91309690886864e-09, 1.54755631983655e-09, -1.09865169400249e-09, 1.83645326319994e-10},
+ {9.92539437011905e-10, -2.96318203488300e-10, 1.17466020823486e-10, -5.00185957995526e-10, -8.54777591408537e-11},
+ {0, 0, 0, 0, 0},
+ {-0.000182885335404854, 7.27424724520089e-05, 3.05286278023427e-05, 2.55324463432562e-05, -6.39859510763234e-06},
+ {-5.21449265232557e-06, -6.70572386081398e-06, -3.95473351292738e-06, -6.41023334372861e-07, -3.11616331059009e-06},
+ {2.37090789071727e-07, 3.58427517014705e-07, 2.55709192777007e-07, 8.44593804408541e-08, 9.27243162355359e-09},
+ {7.24370898432057e-08, -7.43945120337710e-09, 8.61751911975683e-10, -2.34651212610623e-08, 2.94052921681456e-09},
+ {-1.22127317934425e-08, -3.89758984276768e-09, 4.12890383904924e-11, 2.06528068002723e-09, 1.73488696972270e-09},
+ {-5.44137406907620e-10, -4.81034553189921e-10, -2.56101759039694e-11, 3.21880564410154e-10, -2.70195343165250e-11},
+ {1.08394225300546e-10, -7.99525492688661e-11, 1.73850287030654e-10, -8.06390014426271e-11, -7.63143364291160e-13},
+ {-3.41446959267441e-11, 2.72675729042792e-11, 5.69674704865345e-12, -3.38402998344892e-12, -2.96732381931007e-12},
+ {0, 0, 0, 0, 0},
+ {2.91161315987250e-05, -7.24641166590735e-05, -8.58323519857884e-06, -1.14037444255820e-05, 1.32244819451517e-05},
+ {1.24266748259826e-06, -4.13127038469802e-06, -8.47496394492885e-07, 5.48722958754267e-07, -1.98288551821205e-06},
+ {-1.70671245196917e-08, 1.36891127083540e-08, -2.80901972249870e-07, -5.45369793946222e-09, -9.58796303763498e-08},
+ {1.14115335901746e-08, 2.79308166429178e-08, -1.71144803132413e-08, 4.86116243565380e-09, -8.13061459952280e-09},
+ {-1.19144311035824e-09, -1.28197815211763e-09, -1.22313592972373e-09, 6.23116336753674e-10, 2.11527825898689e-09},
+ {4.94618645030426e-10, -1.01554483531252e-10, -3.58808808952276e-10, 1.23499783028794e-10, -1.21017599361833e-10},
+ {1.33959569836451e-10, -1.87140898812283e-11, -3.04265350158941e-11, -1.42907553051431e-11, -1.09873858099638e-11},
+ {1.30277419203512e-11, -4.95312627777245e-12, 2.23070215544358e-12, 1.66450226016423e-12, 6.26222944728474e-12},
+ {-4.40721204874728e-12, 2.99575133064885e-12, -1.54917262009097e-12, 8.90015664527060e-14, -1.59135267012937e-12},
+ {0, 0, 0, 0, 0},
+ {-4.17667211323160e-05, 1.39005215116294e-05, 1.46521361817829e-05, 3.23485458024416e-05, -8.57936261085263e-06},
+ {9.48491026524450e-07, 1.67749735481991e-06, 6.80159475477603e-07, -1.34558044496631e-06, 1.62108231492249e-06},
+ {-2.67545753355631e-07, -3.31848493018159e-08, 1.05837219557465e-07, 1.55587655479400e-07, -2.84996014386667e-08},
+ {-5.15113778734878e-08, 8.83630725241303e-09, 3.36579455982772e-09, -6.22350102096402e-09, 5.03959133095369e-09},
+ {2.04635880823035e-11, -1.07923589059151e-09, -6.96482137669712e-10, -4.70238500452793e-10, -6.60277903598297e-10},
+ {-2.41897168749189e-11, 1.33547763615216e-10, -5.13534673658908e-11, -8.32767177662817e-11, 5.72614717082428e-11},
+ {7.55170562359940e-12, -1.57123461699055e-11, -1.48874069619124e-11, -7.10529462981252e-13, -7.99006335025107e-12},
+ {2.41883156738960e-12, 2.97346980183361e-12, 1.28719977731450e-12, -2.49240876894143e-12, 6.71155595793198e-13},
+ {4.16995565336914e-13, -1.71584521275288e-13, -7.23064067359978e-14, 2.45405880599037e-13, 4.43532934905830e-13},
+ {3.56937508828997e-14, 2.43012511260300e-14, -7.96090778289326e-14, -1.59548529636358e-14, 8.99103763000507e-15},
+ {0, 0, 0, 0, 0},
+ {0.000117579258399489, -4.52648448635772e-05, -2.69130037097862e-05, -3.82266335794366e-05, -4.36549257701084e-06},
+ {-1.43270371215502e-06, 1.21565440183855e-06, 8.53701136074284e-07, 1.52709810023665e-06, 1.22382663462904e-06},
+ {3.06089147519664e-07, 9.79084123751975e-08, 7.96524661441178e-08, 4.54770947973458e-08, 2.22842369458882e-07},
+ {-9.94254707745127e-09, 1.43251376378012e-08, 1.93911753685160e-08, -6.52214645690987e-09, -1.97114016452408e-09},
+ {-9.20751919828404e-10, -9.44312829629076e-10, 7.24196738163952e-11, -6.71801072324561e-11, 2.33146774065873e-10},
+ {-1.43544298956410e-11, 1.78464235318769e-10, 7.69950023012326e-11, -4.22390057304453e-12, 3.05176324574816e-11},
+ {-7.88053753973990e-12, -3.20207793051003e-12, 1.01527407317625e-12, 6.02788185858449e-12, 1.14919530900453e-11},
+ {-1.21558899266069e-12, 5.31300597882986e-13, 3.44023865079264e-13, -6.22598216726224e-14, -5.47031650765402e-14},
+ {-4.15627948750943e-13, 2.77620907292721e-13, -8.99784134364011e-14, 1.07254247320864e-13, 6.85990080564196e-14},
+ {-3.91837863922901e-14, 9.74714976816180e-15, 6.79982450963903e-15, -2.41420876658572e-15, -2.20889384455344e-15},
+ {9.25912068402776e-15, -4.02621719248224e-15, -2.43952036351187e-15, -1.97006876049866e-15, 1.03065621527869e-16},
+ {0, 0, 0, 0, 0},
+ {-0.000103762036940193, 4.38145356960292e-05, 2.43406920349913e-05, 7.89103527673736e-06, -1.66841465339160e-05},
+ {-1.18428449371744e-06, -1.30188721737259e-06, -1.88013557116650e-06, -1.01342046295303e-06, 9.21813037802502e-07},
+ {1.51836068712460e-07, 1.11362553803933e-07, 1.55375052233052e-07, 1.94450910788747e-09, -1.73093755828342e-08},
+ {-3.77758211813121e-09, 1.23323969583610e-08, 1.72510045250302e-09, -1.88609789458597e-09, 1.28937597985937e-09},
+ {-1.07947760393523e-09, 5.26051570105365e-10, -3.67657536332496e-11, 3.16110123523840e-10, -3.24273198242170e-10},
+ {-2.00385649209820e-12, 2.54703869682390e-11, 4.08563622440851e-12, -4.83350348928636e-11, -3.98153443845079e-13},
+ {2.73094467727215e-12, 5.08900664114903e-12, -7.66669089075134e-13, 2.50015592643012e-12, 4.29763262853853e-12},
+ {6.53946487537890e-13, -2.24958413781008e-13, 6.74638861781238e-15, 3.28537647613903e-14, 2.54199700290116e-13},
+ {-1.09122051193505e-13, 8.36362392931501e-14, -3.90750153912300e-14, -5.44915910741950e-14, 2.43816947219217e-14},
+ {-1.41882561550134e-14, 1.00455397812713e-14, 2.63347255121581e-15, 1.53043256823601e-15, 2.49081021428095e-15},
+ {-1.17256193152654e-15, 1.05648985031971e-16, 1.31778372453016e-16, 1.44815198666577e-16, -3.72532768618480e-16},
+ {2.66203457773766e-16, -7.67224608659658e-17, 3.51487351031864e-18, 4.10287131339291e-17, -6.72171711728514e-17}
+ };
+
+ /** Build a new instance. */
+ LegendreFunctions() {
+
+ }
+
+ /** Get the value of the a<sub>nm</sub> coefficient for b<sub>h</sub>.
+ * @param n index
+ * @param m index
+ * @return the a<sub>nm</sub> coefficient for b<sub>h</sub>
+ */
+ public double getAnmBh(final int n, final int m) {
+ return BH_A[n][m];
+ }
+
+ /** Get the value of the a<sub>nm</sub> coefficient for b<sub>w</sub>.
+ * @param n index
+ * @param m index
+ * @return the a<sub>nm</sub> coefficient for b<sub>w</sub>
+ */
+ public double getAnmBw(final int n, final int m) {
+ return BW_A[n][m];
+ }
+
+ /** Get the value of the a<sub>nm</sub> coefficient for c<sub>h</sub>.
+ * @param n index
+ * @param m index
+ * @return the a<sub>nm</sub> coefficient for c<sub>h</sub>
+ */
+ public double getAnmCh(final int n, final int m) {
+ return CH_A[n][m];
+ }
+
+ /** Get the value of the a<sub>nm</sub> coefficient for c<sub>w</sub>.
+ * @param n index
+ * @param m index
+ * @return the a<sub>nm</sub> coefficient for c<sub>w</sub>
+ */
+ public double getAnmCw(final int n, final int m) {
+ return CW_A[n][m];
+ }
+
+ /** Get the value of the b<sub>nm</sub> coefficient for b<sub>h</sub>.
+ * @param n index
+ * @param m index
+ * @return the b<sub>nm</sub> coefficient for b<sub>h</sub>
+ */
+ public double getBnmBh(final int n, final int m) {
+ return BH_B[n][m];
+ }
+
+ /** Get the value of the b<sub>nm</sub> coefficient for b<sub>w</sub>.
+ * @param n index
+ * @param m index
+ * @return the b<sub>nm</sub> coefficient for b<sub>w</sub>
+ */
+ public double getBnmBw(final int n, final int m) {
+ return BW_B[n][m];
+ }
+
+ /** Get the value of the b<sub>nm</sub> coefficient for c<sub>h</sub>.
+ * @param n index
+ * @param m index
+ * @return the b<sub>nm</sub> coefficient for c<sub>h</sub>
+ */
+ public double getBnmCh(final int n, final int m) {
+ return CH_B[n][m];
+ }
+
+ /** Get the value of the b<sub>nm</sub> coefficient for c<sub>w</sub>.
+ * @param n index
+ * @param m index
+ * @return the b<sub>nm</sub> coefficient for c<sub>w</sub>
+ */
+ public double getBnmCw(final int n, final int m) {
+ return CW_B[n][m];
+ }
+
+ }
+}
diff --git a/src/main/java/org/orekit/overview.html b/src/main/java/org/orekit/overview.html
index f8b5e7cc180e8849379a76c16dacfa8bf7ae0b9a..70561f532a3a3020e8bad74facc83d530d2d5fa5 100644
--- a/src/main/java/org/orekit/overview.html
+++ b/src/main/java/org/orekit/overview.html
@@ -209,7 +209,8 @@ discrete events. Here is a short list of the features offered by the library:</p
<li>force model parameters estimation (drag coefficients, radiation pressure coefficients,
central attraction, maneuver thrust or flow rate)</li>
<li>measurements parameters estimation (biases, satellite clock offset, station clock offset,
- station position, pole motion and rate, prime meridian correction and rate)</li>
+ station position, pole motion and rate, prime meridian correction and rate, total
+ zenith delay in tropospheric correction)</li>
</ul>
</li>
<li>multi-satellites orbit determination</li>
@@ -271,7 +272,7 @@ discrete events. Here is a short list of the features offered by the library:</p
</li>
<li>Earth models
<ul>
- <li>tropospheric delay (modified Saastamoinen)</li>
+ <li>tropospheric delay (modified Saastamoinen, Mendes-Pavlis, Vienna 1, Vienna 2, estimated, fixed)</li>
<li>tropospheric refraction correction angle (Recommendation ITU-R P.834-7 and Saemundssen's formula quoted by Meeus)</li>
<li>tropospheric model for laser ranging (Marini-Murray)</li>
<li>Klobuchar ionospheric model (including parsing α and β coefficients from University of Bern Astronomical Institute files)</li>
diff --git a/src/main/resources/assets/org/orekit/localization/OrekitMessages_da.utf8 b/src/main/resources/assets/org/orekit/localization/OrekitMessages_da.utf8
index 7f5f2524d4d4f7a6e4e27fcd831b8ad23255a330..90622a94e00c57652b33af2d1c9bd31a4140085d 100644
--- a/src/main/resources/assets/org/orekit/localization/OrekitMessages_da.utf8
+++ b/src/main/resources/assets/org/orekit/localization/OrekitMessages_da.utf8
@@ -501,3 +501,12 @@ UNEXPECTED_END_OF_FILE = uventet afslutning på filen {0}
# file {0} is corrupted
CORRUPTED_FILE = filen {0} er korrumperet
+
+# Vienna coefficients ah or aw or zh or zw could not be loaded from {0}
+VIENNA_ACOEF_OR_ZENITH_DELAY_NOT_LOADED = <MISSING TRANSLATION>
+
+# Vienna coefficients ah or aw or zh or zw not available for date {0}
+VIENNA_ACOEF_OR_ZENITH_DELAY_NOT_AVAILABLE_FOR_DATE = <MISSING TRANSLATION>
+
+# file {0} does not contain Vienna coefficients ah, aw, zh or zw
+NO_VIENNA_ACOEF_OR_ZENITH_DELAY_IN_FILE = <MISSING TRANSLATION>
diff --git a/src/main/resources/assets/org/orekit/localization/OrekitMessages_de.utf8 b/src/main/resources/assets/org/orekit/localization/OrekitMessages_de.utf8
index be3d8583e9f8fd077b2857d3139b18bdbfbd05f9..95dada943269c640188dfaa2199718ed8e55a90f 100644
--- a/src/main/resources/assets/org/orekit/localization/OrekitMessages_de.utf8
+++ b/src/main/resources/assets/org/orekit/localization/OrekitMessages_de.utf8
@@ -501,3 +501,12 @@ UNEXPECTED_END_OF_FILE = <MISSING TRANSLATION>
# file {0} is corrupted
CORRUPTED_FILE = <MISSING TRANSLATION>
+
+# Vienna coefficients ah or aw or zh or zw could not be loaded from {0}
+VIENNA_ACOEF_OR_ZENITH_DELAY_NOT_LOADED = <MISSING TRANSLATION>
+
+# Vienna coefficients ah or aw or zh or zw not available for date {0}
+VIENNA_ACOEF_OR_ZENITH_DELAY_NOT_AVAILABLE_FOR_DATE = <MISSING TRANSLATION>
+
+# file {0} does not contain Vienna coefficients ah, aw, zh or zw
+NO_VIENNA_ACOEF_OR_ZENITH_DELAY_IN_FILE = <MISSING TRANSLATION>
diff --git a/src/main/resources/assets/org/orekit/localization/OrekitMessages_el.utf8 b/src/main/resources/assets/org/orekit/localization/OrekitMessages_el.utf8
index 1e4854c90f633e40ab7a90523b0e11a5b6cdd8fd..e8ab647a0d77e76977ae520c300aae5f64062eb1 100644
--- a/src/main/resources/assets/org/orekit/localization/OrekitMessages_el.utf8
+++ b/src/main/resources/assets/org/orekit/localization/OrekitMessages_el.utf8
@@ -501,3 +501,12 @@ UNEXPECTED_END_OF_FILE = <MISSING TRANSLATION>
# file {0} is corrupted
CORRUPTED_FILE = <MISSING TRANSLATION>
+
+# Vienna coefficients ah or aw or zh or zw could not be loaded from {0}
+VIENNA_ACOEF_OR_ZENITH_DELAY_NOT_LOADED = <MISSING TRANSLATION>
+
+# Vienna coefficients ah or aw or zh or zw not available for date {0}
+VIENNA_ACOEF_OR_ZENITH_DELAY_NOT_AVAILABLE_FOR_DATE = <MISSING TRANSLATION>
+
+# file {0} does not contain Vienna coefficients ah, aw, zh or zw
+NO_VIENNA_ACOEF_OR_ZENITH_DELAY_IN_FILE = <MISSING TRANSLATION>
diff --git a/src/main/resources/assets/org/orekit/localization/OrekitMessages_en.utf8 b/src/main/resources/assets/org/orekit/localization/OrekitMessages_en.utf8
index f723fa9eb10906b027a841774f6f1d3b466845fd..26108e10940eace63cfe44483a8b15186f1755d1 100644
--- a/src/main/resources/assets/org/orekit/localization/OrekitMessages_en.utf8
+++ b/src/main/resources/assets/org/orekit/localization/OrekitMessages_en.utf8
@@ -501,3 +501,12 @@ UNEXPECTED_END_OF_FILE = unexpected end of file {0}
# file {0} is corrupted
CORRUPTED_FILE = file {0} is corrupted
+
+# Vienna coefficients ah or aw or zh or zw could not be loaded from {0}
+VIENNA_ACOEF_OR_ZENITH_DELAY_NOT_LOADED = Vienna coefficients ah or aw or zh or zw could not be loaded from {0}
+
+# Vienna coefficients ah or aw or zh or zw not available for date {0}
+VIENNA_ACOEF_OR_ZENITH_DELAY_NOT_AVAILABLE_FOR_DATE = Vienna coefficients ah or aw or zh or zw not available for date {0}
+
+# file {0} does not contain Vienna coefficients ah, aw, zh or zw
+NO_VIENNA_ACOEF_OR_ZENITH_DELAY_IN_FILE = file {0} does not contain Vienna coefficients ah, aw, zh or zw
diff --git a/src/main/resources/assets/org/orekit/localization/OrekitMessages_es.utf8 b/src/main/resources/assets/org/orekit/localization/OrekitMessages_es.utf8
index a863abd72e46863b1e75472a2de356d097bda1ed..d7edf3663a19e1a1e9e801258381dc41988e9537 100644
--- a/src/main/resources/assets/org/orekit/localization/OrekitMessages_es.utf8
+++ b/src/main/resources/assets/org/orekit/localization/OrekitMessages_es.utf8
@@ -501,3 +501,12 @@ UNEXPECTED_END_OF_FILE = <MISSING TRANSLATION>
# file {0} is corrupted
CORRUPTED_FILE = <MISSING TRANSLATION>
+
+# Vienna coefficients ah or aw or zh or zw could not be loaded from {0}
+VIENNA_ACOEF_OR_ZENITH_DELAY_NOT_LOADED = <MISSING TRANSLATION>
+
+# Vienna coefficients ah or aw or zh or zw not available for date {0}
+VIENNA_ACOEF_OR_ZENITH_DELAY_NOT_AVAILABLE_FOR_DATE = <MISSING TRANSLATION>
+
+# file {0} does not contain Vienna coefficients ah, aw, zh or zw
+NO_VIENNA_ACOEF_OR_ZENITH_DELAY_IN_FILE = <MISSING TRANSLATION>
diff --git a/src/main/resources/assets/org/orekit/localization/OrekitMessages_fr.utf8 b/src/main/resources/assets/org/orekit/localization/OrekitMessages_fr.utf8
index 2702ec9537d302f5a601772b1134853298f8fd41..d0a02b659776f2af70d185b2fc1d224630e417a8 100644
--- a/src/main/resources/assets/org/orekit/localization/OrekitMessages_fr.utf8
+++ b/src/main/resources/assets/org/orekit/localization/OrekitMessages_fr.utf8
@@ -501,3 +501,12 @@ UNEXPECTED_END_OF_FILE = fin inattendue du fichier {0}
# file {0} is corrupted
CORRUPTED_FILE = données corrompues dans le fichier {0}
+
+# Vienna coefficients ah or aw or zh or zw could not be loaded from {0}
+VIENNA_ACOEF_OR_ZENITH_DELAY_NOT_LOADED = impossible de charger des coefficients du modèle de Vienne ah, aw, zh ou zw depuis {0}
+
+# Vienna coefficients ah or aw or zh or zw not available for date {0}
+VIENNA_ACOEF_OR_ZENITH_DELAY_NOT_AVAILABLE_FOR_DATE = les coefficients du modèle de Vienne ah, aw, zh ou zw ne sont pas disponibles pour la date {0}
+
+# file {0} does not contain Vienna coefficients ah, aw, zh or zw
+NO_VIENNA_ACOEF_OR_ZENITH_DELAY_IN_FILE = {0} ne contiant pas de coefficients du modèle de Vienne ah, aw, zh ou zw
diff --git a/src/main/resources/assets/org/orekit/localization/OrekitMessages_gl.utf8 b/src/main/resources/assets/org/orekit/localization/OrekitMessages_gl.utf8
index 44b4208e47d4eadf4a673125820f1fd85e1e87af..405cf9f957fc26afb2cd994d6259deb2630b97bf 100644
--- a/src/main/resources/assets/org/orekit/localization/OrekitMessages_gl.utf8
+++ b/src/main/resources/assets/org/orekit/localization/OrekitMessages_gl.utf8
@@ -501,3 +501,12 @@ UNEXPECTED_END_OF_FILE = <MISSING TRANSLATION>
# file {0} is corrupted
CORRUPTED_FILE = <MISSING TRANSLATION>
+
+# Vienna coefficients ah or aw or zh or zw could not be loaded from {0}
+VIENNA_ACOEF_OR_ZENITH_DELAY_NOT_LOADED = <MISSING TRANSLATION>
+
+# Vienna coefficients ah or aw or zh or zw not available for date {0}
+VIENNA_ACOEF_OR_ZENITH_DELAY_NOT_AVAILABLE_FOR_DATE = <MISSING TRANSLATION>
+
+# file {0} does not contain Vienna coefficients ah, aw, zh or zw
+NO_VIENNA_ACOEF_OR_ZENITH_DELAY_IN_FILE = <MISSING TRANSLATION>
diff --git a/src/main/resources/assets/org/orekit/localization/OrekitMessages_it.utf8 b/src/main/resources/assets/org/orekit/localization/OrekitMessages_it.utf8
index ec0b9feb4f62207002b9fed1cd2a5630a684ec41..c8894b3ddc0943597735fb8df9eed0c287ec92f2 100644
--- a/src/main/resources/assets/org/orekit/localization/OrekitMessages_it.utf8
+++ b/src/main/resources/assets/org/orekit/localization/OrekitMessages_it.utf8
@@ -501,3 +501,12 @@ UNEXPECTED_END_OF_FILE = fine inattesa del file {0}
# file {0} is corrupted
CORRUPTED_FILE = dati corrotti nel file {0}
+
+# Vienna coefficients ah or aw or zh or zw could not be loaded from {0}
+VIENNA_ACOEF_OR_ZENITH_DELAY_NOT_LOADED = <MISSING TRANSLATION>
+
+# Vienna coefficients ah or aw or zh or zw not available for date {0}
+VIENNA_ACOEF_OR_ZENITH_DELAY_NOT_AVAILABLE_FOR_DATE = <MISSING TRANSLATION>
+
+# file {0} does not contain Vienna coefficients ah, aw, zh or zw
+NO_VIENNA_ACOEF_OR_ZENITH_DELAY_IN_FILE = <MISSING TRANSLATION>
diff --git a/src/main/resources/assets/org/orekit/localization/OrekitMessages_no.utf8 b/src/main/resources/assets/org/orekit/localization/OrekitMessages_no.utf8
index 4164da5a47a5560fbff6c603a329d2c0a2ee085f..480f0bc73af3aa22884ba1765882eca237a4006c 100644
--- a/src/main/resources/assets/org/orekit/localization/OrekitMessages_no.utf8
+++ b/src/main/resources/assets/org/orekit/localization/OrekitMessages_no.utf8
@@ -1,8 +1,8 @@
# internal error, please notify development team by creating an issue at {0}
-INTERNAL_ERROR = <MISSING TRANSLATION>
+INTERNAL_ERROR = intern feil, kontakt utviklingerne ved å åpne en problemrapport på {0}
# altitude ({0} m) is below the {1} m allowed threshold
-ALTITUDE_BELOW_ALLOWED_THRESHOLD = høyde ({0} m) er under den tillate terskelen {1} m
+ALTITUDE_BELOW_ALLOWED_THRESHOLD = høyde ({0} m) er under den tillatte terskelen {1} m
# point is inside ellipsoid
POINT_INSIDE_ELLIPSOID = punkt er innenfor ellipsoiden
@@ -38,7 +38,7 @@ FRAME_ANCESTOR_OF_NEITHER_FRAME = ramme {0} er ikke en forgjenger for verken ram
FRAME_NO_NTH_ANCESTOR = ramme {0} har dybden {1}, den kan ikke ha en forgjenger {2} nivåer ovenfor
# ITRF frame {0} not found
-NO_SUCH_ITRF_FRAME = <MISSING TRANSLATION>
+NO_SUCH_ITRF_FRAME = ITRF ramme {0} ikke funnet
# unsupported local orbital frame, supported types: {0} and {1}
UNSUPPORTED_LOCAL_ORBITAL_FRAME = ikke understøttet baneramme, støttete typer: {0} og {1}
@@ -359,7 +359,7 @@ DSST_ECC_NO_NUMERICAL_AVERAGING_METHOD = Den aktuelle banen har en eksentrisitet
SP3_UNSUPPORTED_VERSION = ustøttet version for sp3 filen {0}
# found {0} epochs in file {1}, expected {2}
-SP3_NUMBER_OF_EPOCH_MISMATCH = <MISSING TRANSLATION>
+SP3_NUMBER_OF_EPOCH_MISMATCH = fant {0} epoker i filen {1}, ventet {2}
# unexpected end of file in sp3 file (after line {0})
SP3_UNEXPECTED_END_OF_FILE = uventet slutt på fil for sp3 fil (etter linje {0})
@@ -458,46 +458,55 @@ NO_REFERENCE_DATE_FOR_PARAMETER = ingen referanse-datasett for parameteren {0}
STATION_NOT_FOUND = grunnstasjonen {0} ble ikke funnet, kjente grunnstasjoner: {1}
# unknown satellite system {0}
-UNKNOWN_SATELLITE_SYSTEM = <MISSING TRANSLATION>
+UNKNOWN_SATELLITE_SYSTEM = ukjent satellittsystem {0}
# unknown satellite antenna code {0}
-UNKNOWN_SATELLITE_ANTENNA_CODE = <MISSING TRANSLATION>
+UNKNOWN_SATELLITE_ANTENNA_CODE = ukjent satellittantennekode {0}
# cannot find satellite {0} in satellite system {1}
-CANNOT_FIND_SATELLITE_IN_SYSTEM = <MISSING TRANSLATION>
+CANNOT_FIND_SATELLITE_IN_SYSTEM = kan ikke finne satellitten {0} i satellittsystemet {1}
# unknown RINEX frequency {0} in file {1}, line {2}
-UNKNOWN_RINEX_FREQUENCY = <MISSING TRANSLATION>
+UNKNOWN_RINEX_FREQUENCY = ukjent RINEX-frekvens {0} i filen {1}, linje {2}
# mismatched frequencies in file {0}, line {1} (expected {2}, got {3})
-MISMATCHED_FREQUENCIES = <MISSING TRANSLATION>
+MISMATCHED_FREQUENCIES = upassende frekvenser i filen {0}, linje {1} (forventet {2}, fant {3})
# wrong number of columns in file {0}, line {1} (expected {2} columns, got {3} columns)
-WRONG_COLUMNS_NUMBER = <MISSING TRANSLATION>
+WRONG_COLUMNS_NUMBER = galt kolonnenummer i filen {0}, linje {1} (forventet {2} kolonner, men fant {3} kolonner)
# unsupported format for file {0}
-UNSUPPORTED_FILE_FORMAT = <MISSING TRANSLATION>
+UNSUPPORTED_FILE_FORMAT = ikke understøttet format for filen {0}
# incomplete header in file {0}
-INCOMPLETE_HEADER = <MISSING TRANSLATION>
+INCOMPLETE_HEADER = ufullstendig topptekst i filen {0}
# inconsistent number of satellites in line {0}, file {1}: observation with {2} satellites and number of max satellites is {3}
-INCONSISTENT_NUMBER_OF_SATS = <MISSING TRANSLATION>
+INCONSISTENT_NUMBER_OF_SATS = inkonsekvent satellittnummere på linje {0}, fil {1}: observasjon med {2} satellitter og maksimum satellittnummer er {3}
# the satellite system {3} from line {0}, file {1} is not consistent with the Rinex Satellite System {2} in header
-INCONSISTENT_SATELLITE_SYSTEM = <MISSING TRANSLATION>
+INCONSISTENT_SATELLITE_SYSTEM = satellittsystemet {3} fra linje {0}, fil {1} er inkonsekvent i forhold til Rinex Satellite Systemet {2} i toppteksten
# no propagator configured
-NO_PROPAGATOR_CONFIGURED = <MISSING TRANSLATION>
+NO_PROPAGATOR_CONFIGURED = ingen propagtør er konfigurert
# dimension {0} is inconsistent with parameters list: {1}
-DIMENSION_INCONSISTENT_WITH_PARAMETERS = <MISSING TRANSLATION>
+DIMENSION_INCONSISTENT_WITH_PARAMETERS = dimensjonen {0} er inkonsekvent i forhold til parameterlisten: {1}
# file {0} is not a supported Unix-compressed file
-NOT_A_SUPPORTED_UNIX_COMPRESSED_FILE = <MISSING TRANSLATION>
+NOT_A_SUPPORTED_UNIX_COMPRESSED_FILE = filen {0} er ikke en støttet Unix-komprimert fil
# unexpected end of file {0}
-UNEXPECTED_END_OF_FILE = <MISSING TRANSLATION>
+UNEXPECTED_END_OF_FILE = uventet slutt på filen {0}
# file {0} is corrupted
-CORRUPTED_FILE = <MISSING TRANSLATION>
+CORRUPTED_FILE = filen {0} er ødelagt
+
+# Vienna coefficients ah or aw or zh or zw could not be loaded from {0}
+VIENNA_ACOEF_OR_ZENITH_DELAY_NOT_LOADED = <MISSING TRANSLATION>
+
+# Vienna coefficients ah or aw or zh or zw not available for date {0}
+VIENNA_ACOEF_OR_ZENITH_DELAY_NOT_AVAILABLE_FOR_DATE = <MISSING TRANSLATION>
+
+# file {0} does not contain Vienna coefficients ah, aw, zh or zw
+NO_VIENNA_ACOEF_OR_ZENITH_DELAY_IN_FILE = <MISSING TRANSLATION>
diff --git a/src/main/resources/assets/org/orekit/localization/OrekitMessages_ro.utf8 b/src/main/resources/assets/org/orekit/localization/OrekitMessages_ro.utf8
index f0bcc38afa453e322e79485f0bbd76d05868b6c4..63f914da3683def057e9493a2c241140c7b59eed 100644
--- a/src/main/resources/assets/org/orekit/localization/OrekitMessages_ro.utf8
+++ b/src/main/resources/assets/org/orekit/localization/OrekitMessages_ro.utf8
@@ -501,3 +501,12 @@ UNEXPECTED_END_OF_FILE = final neașteptat al fișierului {0}
# file {0} is corrupted
CORRUPTED_FILE = fișierul {0} este corupt
+
+# Vienna coefficients ah or aw or zh or zw could not be loaded from {0}
+VIENNA_ACOEF_OR_ZENITH_DELAY_NOT_LOADED = <MISSING TRANSLATION>
+
+# Vienna coefficients ah or aw or zh or zw not available for date {0}
+VIENNA_ACOEF_OR_ZENITH_DELAY_NOT_AVAILABLE_FOR_DATE = <MISSING TRANSLATION>
+
+# file {0} does not contain Vienna coefficients ah, aw, zh or zw
+NO_VIENNA_ACOEF_OR_ZENITH_DELAY_IN_FILE = <MISSING TRANSLATION>
diff --git a/src/site/markdown/index.md b/src/site/markdown/index.md
index 87b17c12e53c60f006752e5228c177550011e199..e11b76d103c58fbf8eb058522336bb6f59895368 100644
--- a/src/site/markdown/index.md
+++ b/src/site/markdown/index.md
@@ -186,7 +186,8 @@
* force model parameters estimation (drag coefficients, radiation pressure coefficients,
central attraction, maneuver thrust or flow rate)
* measurements parameters estimation (biases, satellite clock offset, station clock offset,
- station position, pole motion and rate, prime meridian correction and rate)
+ station position, pole motion and rate, prime meridian correction and rate, total zenith
+ delay in tropospheric correction)
* multi-satellites orbit determination
* ground stations displacements due to solid tides
@@ -240,7 +241,7 @@
* Earth models
- * tropospheric delay (modified Saastamoinen)
+ * tropospheric delay (modified Saastamoinen, Mendes-Pavlis, Vienna 1, Vienna 2, estimated, fixed)
* tropospheric refraction correction angle (Recommendation ITU-R P.834-7 and Saemundssen's formula quoted by Meeus)
* tropospheric model for laser ranging (Marini-Murray)
* Klobuchar ionospheric model (including parsing α and β coefficients from University of Bern Astronomical Institute files)
diff --git a/src/site/xdoc/changes.xml b/src/site/xdoc/changes.xml
index b6ab2a8f061d3bc8e7d1f6b2a63f2426a1a88cd8..8ee817a7fbfbb58fb01dbdee74717b26b78329cc 100644
--- a/src/site/xdoc/changes.xml
+++ b/src/site/xdoc/changes.xml
@@ -21,6 +21,14 @@
</properties>
<body>
<release version="TBD" date="TBD" description="TBD">
+ <action dev="bryan" type="add" issue="498">
+ Added several tropospheric models: Mendes-Pavlis, Vienna 1, Vienna 3, estimated model
+ where the total zenith delay can be estimated during Orbit Determination.
+ </action>
+ <action dev="bryan" type="add" issue="498">
+ Added Global Mapping Function and Niell Mapping Function to be used with tropospheric
+ models.
+ </action>
<action dev="luc" type="add" issue="515">
Added clock offset parameter at satellites level for orbit determination.
</action>
diff --git a/src/test/java/org/orekit/errors/OrekitMessagesTest.java b/src/test/java/org/orekit/errors/OrekitMessagesTest.java
index 589f8d9c48fe968ee445b638f4917143b1bcd541..03d0fc25daeb8b7f7190cc6fb621f2a6b3cafee6 100644
--- a/src/test/java/org/orekit/errors/OrekitMessagesTest.java
+++ b/src/test/java/org/orekit/errors/OrekitMessagesTest.java
@@ -31,7 +31,7 @@ public class OrekitMessagesTest {
@Test
public void testMessageNumber() {
- Assert.assertEquals(168, OrekitMessages.values().length);
+ Assert.assertEquals(171, OrekitMessages.values().length);
}
@Test
diff --git a/src/test/java/org/orekit/estimation/leastsquares/OrbitDeterminationTest.java b/src/test/java/org/orekit/estimation/leastsquares/OrbitDeterminationTest.java
index 9e0c817643ac6b04c5d99ee7f39ca9735cade241..97b110553ab329b4af850719091ff2c312af63a6 100644
--- a/src/test/java/org/orekit/estimation/leastsquares/OrbitDeterminationTest.java
+++ b/src/test/java/org/orekit/estimation/leastsquares/OrbitDeterminationTest.java
@@ -111,10 +111,15 @@ import org.orekit.gnss.ObservationDataSet;
import org.orekit.gnss.RinexLoader;
import org.orekit.gnss.SatelliteSystem;
import org.orekit.models.AtmosphericRefractionModel;
+import org.orekit.models.earth.DiscreteTroposphericModel;
import org.orekit.models.earth.EarthITU453AtmosphereRefraction;
+import org.orekit.models.earth.EstimatedTroposphericModel;
+import org.orekit.models.earth.GlobalMappingFunctionModel;
import org.orekit.models.earth.IonosphericModel;
import org.orekit.models.earth.KlobucharIonoCoefficientsLoader;
import org.orekit.models.earth.KlobucharIonoModel;
+import org.orekit.models.earth.MappingFunction;
+import org.orekit.models.earth.NiellMappingFunctionModel;
import org.orekit.models.earth.SaastamoinenModel;
import org.orekit.models.earth.displacement.OceanLoading;
import org.orekit.models.earth.displacement.OceanLoadingCoefficientsBLQFactory;
@@ -223,16 +228,17 @@ public class OrbitDeterminationTest {
GravityFieldFactory.addPotentialCoefficientsReader(new ICGEMFormatReader("eigen-6s-truncated", true));
//orbit determination run.
- ResultOD odGNSS = run(input, true);
+ ResultOD odGNSS = run(input, false);
//test
//definition of the accuracy for the test
- final double distanceAccuracy = 12.0;
- final double velocityAccuracy = 5.0e-3;
+ final double distanceAccuracy = 11.5;
+ final double velocityAccuracy = 4.0e-3;
//test on the convergence
final int numberOfIte = 3;
final int numberOfEval = 5;
+
Assert.assertEquals(numberOfIte, odGNSS.getNumberOfIteration());
Assert.assertEquals(numberOfEval, odGNSS.getNumberOfEvaluation());
@@ -246,12 +252,12 @@ public class OrbitDeterminationTest {
//test on statistic for the range residuals
final long nbRange = 4009;
- final double[] RefStatRange = { -2.555, 2.830, 0.0, 0.750 };
+ final double[] RefStatRange = { -2.706, 2.566, 0.0, 0.738 };
Assert.assertEquals(nbRange, odGNSS.getRangeStat().getN());
- Assert.assertEquals(RefStatRange[0], odGNSS.getRangeStat().getMin(), 1.0e-3);
- Assert.assertEquals(RefStatRange[1], odGNSS.getRangeStat().getMax(), 1.0e-3);
+ Assert.assertEquals(RefStatRange[0], odGNSS.getRangeStat().getMin(), 0.1);
+ Assert.assertEquals(RefStatRange[1], odGNSS.getRangeStat().getMax(), 0.1);
Assert.assertEquals(RefStatRange[2], odGNSS.getRangeStat().getMean(), 1.0e-3);
- Assert.assertEquals(RefStatRange[3], odGNSS.getRangeStat().getStandardDeviation(), 1.0e-3);
+ Assert.assertEquals(RefStatRange[3], odGNSS.getRangeStat().getStandardDeviation(), 0.1);
}
@@ -594,6 +600,7 @@ public class OrbitDeterminationTest {
}
});
}
+
Orbit estimated = estimator.estimate()[0].getInitialState().getOrbit();
// compute some statistics
@@ -1065,36 +1072,41 @@ public class OrbitDeterminationTest {
final Map<String, StationData> stations = new HashMap<String, StationData>();
- final String[] stationNames = parser.getStringArray(ParameterKey.GROUND_STATION_NAME);
- final double[] stationLatitudes = parser.getAngleArray(ParameterKey.GROUND_STATION_LATITUDE);
- final double[] stationLongitudes = parser.getAngleArray(ParameterKey.GROUND_STATION_LONGITUDE);
- final double[] stationAltitudes = parser.getDoubleArray(ParameterKey.GROUND_STATION_ALTITUDE);
- final double[] stationClockOffsets = parser.getDoubleArray(ParameterKey.GROUND_STATION_CLOCK_OFFSET);
- final double[] stationClockOffsetsMin = parser.getDoubleArray(ParameterKey.GROUND_STATION_CLOCK_OFFSET_MIN);
- final double[] stationClockOffsetsMax = parser.getDoubleArray(ParameterKey.GROUND_STATION_CLOCK_OFFSET_MAX);
- final boolean[] stationClockOffsetEstimated = parser.getBooleanArray(ParameterKey.GROUND_STATION_CLOCK_OFFSET_ESTIMATED);
- final boolean[] stationPositionEstimated = parser.getBooleanArray(ParameterKey.GROUND_STATION_POSITION_ESTIMATED);
- final double[] stationRangeSigma = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_SIGMA);
- final double[] stationRangeBias = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_BIAS);
- final double[] stationRangeBiasMin = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_BIAS_MIN);
- final double[] stationRangeBiasMax = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_BIAS_MAX);
- final boolean[] stationRangeBiasEstimated = parser.getBooleanArray(ParameterKey.GROUND_STATION_RANGE_BIAS_ESTIMATED);
- final double[] stationRangeRateSigma = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_RATE_SIGMA);
- final double[] stationRangeRateBias = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_RATE_BIAS);
- final double[] stationRangeRateBiasMin = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_RATE_BIAS_MIN);
- final double[] stationRangeRateBiasMax = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_RATE_BIAS_MAX);
- final boolean[] stationRangeRateBiasEstimated = parser.getBooleanArray(ParameterKey.GROUND_STATION_RANGE_RATE_BIAS_ESTIMATED);
- final double[] stationAzimuthSigma = parser.getAngleArray(ParameterKey.GROUND_STATION_AZIMUTH_SIGMA);
- final double[] stationAzimuthBias = parser.getAngleArray(ParameterKey.GROUND_STATION_AZIMUTH_BIAS);
- final double[] stationAzimuthBiasMin = parser.getAngleArray(ParameterKey.GROUND_STATION_AZIMUTH_BIAS_MIN);
- final double[] stationAzimuthBiasMax = parser.getAngleArray(ParameterKey.GROUND_STATION_AZIMUTH_BIAS_MAX);
- final double[] stationElevationSigma = parser.getAngleArray(ParameterKey.GROUND_STATION_ELEVATION_SIGMA);
- final double[] stationElevationBias = parser.getAngleArray(ParameterKey.GROUND_STATION_ELEVATION_BIAS);
- final double[] stationElevationBiasMin = parser.getAngleArray(ParameterKey.GROUND_STATION_ELEVATION_BIAS_MIN);
- final double[] stationElevationBiasMax = parser.getAngleArray(ParameterKey.GROUND_STATION_ELEVATION_BIAS_MAX);
- final boolean[] stationAzElBiasesEstimated = parser.getBooleanArray(ParameterKey.GROUND_STATION_AZ_EL_BIASES_ESTIMATED);
- final boolean[] stationElevationRefraction = parser.getBooleanArray(ParameterKey.GROUND_STATION_ELEVATION_REFRACTION_CORRECTION);
- final boolean[] stationRangeTropospheric = parser.getBooleanArray(ParameterKey.GROUND_STATION_RANGE_TROPOSPHERIC_CORRECTION);
+ final String[] stationNames = parser.getStringArray(ParameterKey.GROUND_STATION_NAME);
+ final double[] stationLatitudes = parser.getAngleArray(ParameterKey.GROUND_STATION_LATITUDE);
+ final double[] stationLongitudes = parser.getAngleArray(ParameterKey.GROUND_STATION_LONGITUDE);
+ final double[] stationAltitudes = parser.getDoubleArray(ParameterKey.GROUND_STATION_ALTITUDE);
+ final boolean[] stationPositionEstimated = parser.getBooleanArray(ParameterKey.GROUND_STATION_POSITION_ESTIMATED);
+ final double[] stationClockOffsets = parser.getDoubleArray(ParameterKey.GROUND_STATION_CLOCK_OFFSET);
+ final double[] stationClockOffsetsMin = parser.getDoubleArray(ParameterKey.GROUND_STATION_CLOCK_OFFSET_MIN);
+ final double[] stationClockOffsetsMax = parser.getDoubleArray(ParameterKey.GROUND_STATION_CLOCK_OFFSET_MAX);
+ final boolean[] stationClockOffsetEstimated = parser.getBooleanArray(ParameterKey.GROUND_STATION_CLOCK_OFFSET_ESTIMATED);
+ final double[] stationRangeSigma = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_SIGMA);
+ final double[] stationRangeBias = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_BIAS);
+ final double[] stationRangeBiasMin = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_BIAS_MIN);
+ final double[] stationRangeBiasMax = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_BIAS_MAX);
+ final boolean[] stationRangeBiasEstimated = parser.getBooleanArray(ParameterKey.GROUND_STATION_RANGE_BIAS_ESTIMATED);
+ final double[] stationRangeRateSigma = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_RATE_SIGMA);
+ final double[] stationRangeRateBias = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_RATE_BIAS);
+ final double[] stationRangeRateBiasMin = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_RATE_BIAS_MIN);
+ final double[] stationRangeRateBiasMax = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_RATE_BIAS_MAX);
+ final boolean[] stationRangeRateBiasEstimated = parser.getBooleanArray(ParameterKey.GROUND_STATION_RANGE_RATE_BIAS_ESTIMATED);
+ final double[] stationAzimuthSigma = parser.getAngleArray(ParameterKey.GROUND_STATION_AZIMUTH_SIGMA);
+ final double[] stationAzimuthBias = parser.getAngleArray(ParameterKey.GROUND_STATION_AZIMUTH_BIAS);
+ final double[] stationAzimuthBiasMin = parser.getAngleArray(ParameterKey.GROUND_STATION_AZIMUTH_BIAS_MIN);
+ final double[] stationAzimuthBiasMax = parser.getAngleArray(ParameterKey.GROUND_STATION_AZIMUTH_BIAS_MAX);
+ final double[] stationElevationSigma = parser.getAngleArray(ParameterKey.GROUND_STATION_ELEVATION_SIGMA);
+ final double[] stationElevationBias = parser.getAngleArray(ParameterKey.GROUND_STATION_ELEVATION_BIAS);
+ final double[] stationElevationBiasMin = parser.getAngleArray(ParameterKey.GROUND_STATION_ELEVATION_BIAS_MIN);
+ final double[] stationElevationBiasMax = parser.getAngleArray(ParameterKey.GROUND_STATION_ELEVATION_BIAS_MAX);
+ final boolean[] stationAzElBiasesEstimated = parser.getBooleanArray(ParameterKey.GROUND_STATION_AZ_EL_BIASES_ESTIMATED);
+ final boolean[] stationElevationRefraction = parser.getBooleanArray(ParameterKey.GROUND_STATION_ELEVATION_REFRACTION_CORRECTION);
+ final boolean[] stationTroposphericModelEstimated = parser.getBooleanArray(ParameterKey.GROUND_STATION_TROPOSPHERIC_MODEL_ESTIMATED);
+ final double[] stationTroposphericZenithDelay = parser.getDoubleArray(ParameterKey.GROUND_STATION_TROPOSPHERIC_ZENITH_DELAY);
+ final boolean[] stationZenithDelayEstimated = parser.getBooleanArray(ParameterKey.GROUND_STATION_TROPOSPHERIC_DELAY_ESTIMATED);
+ final boolean[] stationGlobalMappingFunction = parser.getBooleanArray(ParameterKey.GROUND_STATION_GLOBAL_MAPPING_FUNCTION);
+ final boolean[] stationNiellMappingFunction = parser.getBooleanArray(ParameterKey.GROUND_STATION_NIELL_MAPPING_FUNCTION);
+ final boolean[] stationRangeTropospheric = parser.getBooleanArray(ParameterKey.GROUND_STATION_RANGE_TROPOSPHERIC_CORRECTION);
//final boolean[] stationIonosphericCorrection = parser.getBooleanArray(ParameterKey.GROUND_STATION_IONOSPHERIC_CORRECTION);
final TidalDisplacement tidalDisplacement;
@@ -1258,18 +1270,33 @@ public class OrbitDeterminationTest {
}
- //Tropospheric correction
+ //Tropospheric correction
final RangeTroposphericDelayModifier rangeTroposphericCorrection;
if (stationRangeTropospheric[i]) {
- final SaastamoinenModel troposphericModel = SaastamoinenModel.getStandardModel();
+ MappingFunction mappingModel = null;
+ if (stationGlobalMappingFunction[i]) {
+ mappingModel = new GlobalMappingFunctionModel(stationLatitudes[i],
+ stationLongitudes[i]);
+ } else if (stationNiellMappingFunction[i]) {
+ mappingModel = new NiellMappingFunctionModel(stationLatitudes[i]);
+ }
+
+ DiscreteTroposphericModel troposphericModel;
+ if (stationTroposphericModelEstimated[i] && mappingModel != null) {
+ troposphericModel = new EstimatedTroposphericModel(mappingModel, stationTroposphericZenithDelay[i]);
+ ParameterDriver totalDelay = troposphericModel.getParametersDrivers().get(0);
+ totalDelay.setSelected(stationZenithDelayEstimated[i]);
+ totalDelay.setName(stationNames[i].substring(0, 5) + EstimatedTroposphericModel.TOTAL_ZENITH_DELAY);
+ } else {
+ troposphericModel = SaastamoinenModel.getStandardModel();
+ }
rangeTroposphericCorrection = new RangeTroposphericDelayModifier(troposphericModel);
} else {
rangeTroposphericCorrection = null;
}
-
stations.put(stationNames[i], new StationData(station,
rangeSigma, rangeBias,
rangeRateSigma, rangeRateBias,
@@ -1526,6 +1553,7 @@ public class OrbitDeterminationTest {
if (satRangeBias != null) {
range.addModifier(satRangeBias);
}
+
if (stationData.rangeTroposphericCorrection != null) {
range.addModifier(stationData.rangeTroposphericCorrection);
}
@@ -2065,6 +2093,7 @@ public class OrbitDeterminationTest {
/** {@inheritDoc} */
@Override
double residual(final EstimatedMeasurement<Range> evaluation) {
+ //System.out.println(evaluation.getObservedMeasurement().getDate() + "" + (evaluation.getEstimatedValue()[0] - evaluation.getObservedMeasurement().getObservedValue()[0]));
return evaluation.getEstimatedValue()[0] - evaluation.getObservedMeasurement().getObservedValue()[0];
}
@@ -2429,6 +2458,11 @@ public class OrbitDeterminationTest {
GROUND_STATION_CLOCK_OFFSET_MAX,
GROUND_STATION_CLOCK_OFFSET_ESTIMATED,
GROUND_STATION_POSITION_ESTIMATED,
+ GROUND_STATION_TROPOSPHERIC_MODEL_ESTIMATED,
+ GROUND_STATION_TROPOSPHERIC_ZENITH_DELAY,
+ GROUND_STATION_TROPOSPHERIC_DELAY_ESTIMATED,
+ GROUND_STATION_GLOBAL_MAPPING_FUNCTION,
+ GROUND_STATION_NIELL_MAPPING_FUNCTION,
GROUND_STATION_RANGE_SIGMA,
GROUND_STATION_RANGE_BIAS,
GROUND_STATION_RANGE_BIAS_MIN,
diff --git a/src/test/java/org/orekit/estimation/measurements/RangeRateTest.java b/src/test/java/org/orekit/estimation/measurements/RangeRateTest.java
index e7dfd6ada12aab726841de686f1010ef119558f2..28bdf49576d7b01576a05cbfc332f255185920ff 100644
--- a/src/test/java/org/orekit/estimation/measurements/RangeRateTest.java
+++ b/src/test/java/org/orekit/estimation/measurements/RangeRateTest.java
@@ -22,9 +22,12 @@ import org.hipparchus.stat.descriptive.StreamingStatistics;
import org.hipparchus.util.FastMath;
import org.junit.Assert;
import org.junit.Test;
+import org.orekit.bodies.GeodeticPoint;
import org.orekit.estimation.Context;
import org.orekit.estimation.EstimationTestUtils;
import org.orekit.estimation.measurements.modifiers.RangeRateTroposphericDelayModifier;
+import org.orekit.models.earth.GlobalMappingFunctionModel;
+import org.orekit.models.earth.EstimatedTroposphericModel;
import org.orekit.models.earth.SaastamoinenModel;
import org.orekit.orbits.OrbitType;
import org.orekit.orbits.PositionAngle;
@@ -455,6 +458,76 @@ public class RangeRateTest {
}
+ /** Test the values of the state derivatives using a numerical
+ * finite differences calculation as a reference.
+ * One-way measurements with estimated modifiers (tropospheric corrections).
+ */
+ @Test
+ public void testStateDerivativesWithEstimatedModifier() {
+
+ Context context = EstimationTestUtils.eccentricContext("regular-data:potential:tides");
+
+ final NumericalPropagatorBuilder propagatorBuilder =
+ context.createBuilder(OrbitType.KEPLERIAN, PositionAngle.TRUE, true,
+ 1.0e-6, 60.0, 0.001);
+
+ // create perfect range rate measurements
+ final Propagator propagator = EstimationTestUtils.createPropagator(context.initialOrbit,
+ propagatorBuilder);
+ final List<ObservedMeasurement<?>> measurements =
+ EstimationTestUtils.createMeasurements(propagator,
+ new RangeRateMeasurementCreator(context, false),
+ 1.0, 3.0, 300.0);
+ propagator.setSlaveMode();
+
+ double maxRelativeError = 0;
+ for (final ObservedMeasurement<?> measurement : measurements) {
+
+ // parameter corresponding to station position offset
+ final GroundStation stationParameter = ((RangeRate) measurement).getStation();
+
+ // Add modifiers if test implies it
+ final GeodeticPoint point = stationParameter.getBaseFrame().getPoint();
+ final GlobalMappingFunctionModel mappingFunction = new GlobalMappingFunctionModel(point.getLatitude(),
+ point.getLongitude());
+ final EstimatedTroposphericModel tropoModel = new EstimatedTroposphericModel(mappingFunction, 5.0);
+
+ final RangeRateTroposphericDelayModifier modifier = new RangeRateTroposphericDelayModifier(tropoModel, true);
+ ((RangeRate) measurement).addModifier(modifier);
+
+ //
+ //final AbsoluteDate date = measurement.getDate();
+ final double meanDelay = 1; // measurement.getObservedValue()[0] / Constants.SPEED_OF_LIGHT;
+ final AbsoluteDate date = measurement.getDate().shiftedBy(-0.75 * meanDelay);
+ final SpacecraftState state = propagator.propagate(date);
+
+ final double[][] jacobian = measurement.estimate(0, 0, new SpacecraftState[] { state }).getStateDerivatives(0);
+
+ final double[][] finiteDifferencesJacobian =
+ Differentiation.differentiate(new StateFunction() {
+ public double[] value(final SpacecraftState state) {
+ return measurement.estimate(0, 0, new SpacecraftState[] { state }).getEstimatedValue();
+ }
+ }, 1, propagator.getAttitudeProvider(),
+ OrbitType.CARTESIAN, PositionAngle.TRUE, 15.0, 3).value(state);
+
+ Assert.assertEquals(finiteDifferencesJacobian.length, jacobian.length);
+ Assert.assertEquals(finiteDifferencesJacobian[0].length, jacobian[0].length);
+
+ for (int i = 0; i < jacobian.length; ++i) {
+ for (int j = 0; j < jacobian[i].length; ++j) {
+ // check the values returned by getStateDerivatives() are correct
+ maxRelativeError = FastMath.max(maxRelativeError,
+ FastMath.abs((finiteDifferencesJacobian[i][j] - jacobian[i][j]) /
+ finiteDifferencesJacobian[i][j]));
+ }
+ }
+
+ }
+ Assert.assertEquals(0, maxRelativeError, 3.1e-7);
+
+ }
+
/** Test the values of the parameters' derivatives using a numerical
* finite differences calculation as a reference.
* One-way measurements with modifiers (tropospheric corrections).
@@ -529,6 +602,83 @@ public class RangeRateTest {
}
+ /** Test the values of the parameters' derivatives using a numerical
+ * finite differences calculation as a reference.
+ * One-way measurements with estimated modifiers (tropospheric corrections).
+ */
+ @Test
+ public void testParameterDerivativesWithEstimatedModifier() {
+
+ Context context = EstimationTestUtils.eccentricContext("regular-data:potential:tides");
+
+ final NumericalPropagatorBuilder propagatorBuilder =
+ context.createBuilder(OrbitType.KEPLERIAN, PositionAngle.TRUE, true,
+ 1.0e-6, 60.0, 0.001);
+
+ final Propagator propagator = EstimationTestUtils.createPropagator(context.initialOrbit,
+ propagatorBuilder);
+ final List<ObservedMeasurement<?>> measurements =
+ EstimationTestUtils.createMeasurements(propagator,
+ new RangeRateMeasurementCreator(context, false),
+ 1.0, 3.0, 300.0);
+ propagator.setSlaveMode();
+
+ double maxRelativeError = 0;
+ for (final ObservedMeasurement<?> measurement : measurements) {
+
+ // parameter corresponding to station position offset
+ final GroundStation stationParameter = ((RangeRate) measurement).getStation();
+
+ // Add modifiers if test implies it
+ final GeodeticPoint point = stationParameter.getBaseFrame().getPoint();
+ final GlobalMappingFunctionModel mappingFunction = new GlobalMappingFunctionModel(point.getLatitude(),
+ point.getLongitude());
+ final EstimatedTroposphericModel tropoModel = new EstimatedTroposphericModel(mappingFunction, 10.0);
+
+ final List<ParameterDriver> parameters = tropoModel.getParametersDrivers();
+ for (ParameterDriver driver : parameters) {
+ driver.setSelected(true);
+ }
+
+ final RangeRateTroposphericDelayModifier modifier = new RangeRateTroposphericDelayModifier(tropoModel, true);
+ ((RangeRate) measurement).addModifier(modifier);
+
+ // We intentionally propagate to a date which is close to the
+ // real spacecraft state but is *not* the accurate date, by
+ // compensating only part of the downlink delay. This is done
+ // in order to validate the partial derivatives with respect
+ // to velocity. If we had chosen the proper state date, the
+ // range would have depended only on the current position but
+ // not on the current velocity.
+ final double meanDelay = measurement.getObservedValue()[0] / Constants.SPEED_OF_LIGHT;
+ final AbsoluteDate date = measurement.getDate().shiftedBy(-0.75 * meanDelay);
+ final SpacecraftState state = propagator.propagate(date);
+
+ final ParameterDriver[] drivers = new ParameterDriver[] {
+ parameters.get(0)
+ };
+ for (int i = 0; i < 1; ++i) {
+ final double[] gradient = measurement.estimate(0, 0, new SpacecraftState[] { state }).getParameterDerivatives(drivers[i]);
+ Assert.assertEquals(1, measurement.getDimension());
+ Assert.assertEquals(1, gradient.length);
+
+ final ParameterFunction dMkdP =
+ Differentiation.differentiate(new ParameterFunction() {
+ /** {@inheritDoc} */
+ @Override
+ public double value(final ParameterDriver parameterDriver) {
+ return measurement.estimate(0, 0, new SpacecraftState[] { state }).getEstimatedValue()[0];
+ }
+ }, 3, 0.1 * drivers[i].getScale());
+ final double ref = dMkdP.value(drivers[i]);
+ maxRelativeError = FastMath.max(maxRelativeError, FastMath.abs((ref - gradient[0]) / ref));
+ }
+
+ }
+ Assert.assertEquals(0, maxRelativeError, 2.2e-7);
+
+ }
+
}
diff --git a/src/test/java/org/orekit/estimation/measurements/RangeTest.java b/src/test/java/org/orekit/estimation/measurements/RangeTest.java
index 982981485d95a87df710322017b913c0c3b228fe..5de5e3d8152b37df2db878d32163ebcc8f780886 100644
--- a/src/test/java/org/orekit/estimation/measurements/RangeTest.java
+++ b/src/test/java/org/orekit/estimation/measurements/RangeTest.java
@@ -29,9 +29,12 @@ import org.hipparchus.stat.descriptive.rank.Min;
import org.hipparchus.util.FastMath;
import org.junit.Assert;
import org.junit.Test;
+import org.orekit.bodies.GeodeticPoint;
import org.orekit.estimation.Context;
import org.orekit.estimation.EstimationTestUtils;
import org.orekit.estimation.measurements.modifiers.RangeTroposphericDelayModifier;
+import org.orekit.models.earth.NiellMappingFunctionModel;
+import org.orekit.models.earth.EstimatedTroposphericModel;
import org.orekit.models.earth.SaastamoinenModel;
import org.orekit.orbits.OrbitType;
import org.orekit.orbits.PositionAngle;
@@ -184,6 +187,29 @@ public class RangeTest {
}
+ /**
+ * Test the values of the parameters' derivatives with estimated modifier, using a numerical
+ * finite differences calculation as a reference
+ */
+ @Test
+ public void testParameterDerivativesWithEstimatedModifier() {
+
+ // Print the results ?
+ boolean printResults = false;
+
+ if (printResults) {
+ System.out.println("\nTest Range Parameter Derivatives with Estimated Modifier - Finite Differences Comparison\n");
+ }
+ // Run test
+ boolean isModifier = true;
+ double refErrorsMedian = 1.2e-9;
+ double refErrorsMean = 1.9e-9;
+ double refErrorsMax = 6.6e-9;
+ this.genericTestEstimatedParameterDerivatives(isModifier, printResults,
+ refErrorsMedian, refErrorsMean, refErrorsMax);
+
+ }
+
/**
* Generic test function for values of the range
* @param printResults Print the results ?
@@ -601,4 +627,148 @@ public class RangeTest {
}
+ void genericTestEstimatedParameterDerivatives(final boolean isModifier, final boolean printResults,
+ final double refErrorsMedian, final double refErrorsMean, final double refErrorsMax)
+ {
+
+ Context context = EstimationTestUtils.eccentricContext("regular-data:potential:tides");
+
+ final NumericalPropagatorBuilder propagatorBuilder =
+ context.createBuilder(OrbitType.KEPLERIAN, PositionAngle.TRUE, true,
+ 1.0e-6, 60.0, 0.001);
+
+ final Propagator propagator = EstimationTestUtils.createPropagator(context.initialOrbit,
+ propagatorBuilder);
+ final List<ObservedMeasurement<?>> measurements =
+ EstimationTestUtils.createMeasurements(propagator,
+ new RangeMeasurementCreator(context),
+ 1.0, 3.0, 300.0);
+
+ // List to store the results
+ final List<Double> relErrorList = new ArrayList<Double>();
+
+ // Set master mode
+ // Use a lambda function to implement "handleStep" function
+ propagator.setMasterMode((OrekitStepInterpolator interpolator, boolean isLast) -> {
+
+ for (final ObservedMeasurement<?> measurement : measurements) {
+
+ // Play test if the measurement date is between interpolator previous and current date
+ if ((measurement.getDate().durationFrom(interpolator.getPreviousState().getDate()) > 0.) &&
+ (measurement.getDate().durationFrom(interpolator.getCurrentState().getDate()) <= 0.)
+ ) {
+
+ // Parameter corresponding to station position offset
+ final GroundStation stationParameter = ((Range) measurement).getStation();
+
+ String stationName = ((Range) measurement).getStation().getBaseFrame().getName();
+
+ // Add modifiers if test implies it
+ final GeodeticPoint point = stationParameter.getBaseFrame().getPoint();
+ final NiellMappingFunctionModel mappingFunction = new NiellMappingFunctionModel(point.getLatitude());
+ final EstimatedTroposphericModel tropoModel = new EstimatedTroposphericModel(mappingFunction, 5.0);
+
+ final List<ParameterDriver> parameters = tropoModel.getParametersDrivers();
+ for (ParameterDriver driver : parameters) {
+ driver.setSelected(true);
+ }
+
+ parameters.get(0).setName(stationName + "/" + EstimatedTroposphericModel.TOTAL_ZENITH_DELAY);
+ final RangeTroposphericDelayModifier modifier = new RangeTroposphericDelayModifier(tropoModel);
+ if (isModifier) {
+ ((Range) measurement).addModifier(modifier);
+ }
+
+ // We intentionally propagate to a date which is close to the
+ // real spacecraft state but is *not* the accurate date, by
+ // compensating only part of the downlink delay. This is done
+ // in order to validate the partial derivatives with respect
+ // to velocity. If we had chosen the proper state date, the
+ // range would have depended only on the current position but
+ // not on the current velocity.
+ final double meanDelay = measurement.getObservedValue()[0] / Constants.SPEED_OF_LIGHT;
+ final AbsoluteDate date = measurement.getDate().shiftedBy(-0.75 * meanDelay);
+ final SpacecraftState state = interpolator.getInterpolatedState(date);
+ final ParameterDriver[] drivers = new ParameterDriver[] {
+ parameters.get(0)
+ };
+
+ if (printResults) {
+ System.out.format(Locale.US, "%-15s %-23s %-23s ",
+ stationName, measurement.getDate(), date);
+ }
+
+ for (int i = 0; i < 1; ++i) {
+ final double[] gradient = measurement.estimate(0, 0, new SpacecraftState[] { state }).getParameterDerivatives(drivers[i]);
+ Assert.assertEquals(1, measurement.getDimension());
+ Assert.assertEquals(1, gradient.length);
+
+ // Compute a reference value using finite differences
+ final ParameterFunction dMkdP =
+ Differentiation.differentiate(new ParameterFunction() {
+ /** {@inheritDoc} */
+ @Override
+ public double value(final ParameterDriver parameterDriver) {
+ return measurement.estimate(0, 0, new SpacecraftState[] { state }).getEstimatedValue()[0];
+ }
+ }, 3, 0.1 * drivers[i].getScale());
+ final double ref = dMkdP.value(drivers[i]);
+
+ if (printResults) {
+ System.out.format(Locale.US, "%10.3e %10.3e ", gradient[0]-ref, FastMath.abs((gradient[0]-ref)/ref));
+ }
+
+ final double relError = FastMath.abs((ref-gradient[0])/ref);
+ relErrorList.add(relError);
+// Assert.assertEquals(ref, gradient[0], 6.1e-5 * FastMath.abs(ref));
+ }
+ if (printResults) {
+ System.out.format(Locale.US, "%n");
+ }
+
+ } // End if measurement date between previous and current interpolator step
+ } // End for loop on the measurements
+ });
+
+ // Rewind the propagator to initial date
+ propagator.propagate(context.initialOrbit.getDate());
+
+ // Sort measurements chronologically
+ measurements.sort(Comparator.naturalOrder());
+
+ // Print results ? Header
+ if (printResults) {
+ System.out.format(Locale.US, "%-15s %-23s %-23s " +
+ "%10s %10s %10s " +
+ "%10s %10s %10s%n ",
+ "Station", "Measurement Date", "State Date",
+ "ΔdDelay", "rel ΔdDelay",
+ "ΔdNorthG", "rel ΔdNorthG",
+ "ΔdEastG", "rel ΔdEastG");
+ }
+
+ // Propagate to final measurement's date
+ propagator.propagate(measurements.get(measurements.size()-1).getDate());
+
+ // Convert error list to double[]
+ final double relErrors[] = relErrorList.stream().mapToDouble(Double::doubleValue).toArray();
+
+ // Compute statistics
+ final double relErrorsMedian = new Median().evaluate(relErrors);
+ final double relErrorsMean = new Mean().evaluate(relErrors);
+ final double relErrorsMax = new Max().evaluate(relErrors);
+
+ // Print the results on console ?
+ if (printResults) {
+ System.out.println();
+ System.out.format(Locale.US, "Relative errors dR/dQ -> Median: %6.3e / Mean: %6.3e / Max: %6.3e%n",
+ relErrorsMedian, relErrorsMean, relErrorsMax);
+ }
+
+ Assert.assertEquals(0.0, relErrorsMedian, refErrorsMedian);
+ Assert.assertEquals(0.0, relErrorsMean, refErrorsMean);
+ Assert.assertEquals(0.0, relErrorsMax, refErrorsMax);
+
+ }
+
}
diff --git a/src/test/java/org/orekit/estimation/measurements/TurnAroundRangeAnalyticTest.java b/src/test/java/org/orekit/estimation/measurements/TurnAroundRangeAnalyticTest.java
index 153bbae8c66db22cedf0c1d5de9d7387b83ee7ed..8476882c92fd7dbc1387cfc71a2aae75772b5289 100644
--- a/src/test/java/org/orekit/estimation/measurements/TurnAroundRangeAnalyticTest.java
+++ b/src/test/java/org/orekit/estimation/measurements/TurnAroundRangeAnalyticTest.java
@@ -130,7 +130,7 @@ public class TurnAroundRangeAnalyticTest {
boolean isModifier = true;
boolean isFiniteDifferences = true;
genericTestStateDerivatives(isModifier, isFiniteDifferences, printResults,
- 6.2e-9, 1.9e-8, 3.5e-7, 7.3e-5, 3.4e-4, 1.2e-2);
+ 6.4e-9, 2.8e-8, 7.6e-7, 7.5e-5, 2.6e-4, 0.5e-2);
}
/**
diff --git a/src/test/java/org/orekit/estimation/measurements/modifiers/TropoModifierTest.java b/src/test/java/org/orekit/estimation/measurements/modifiers/TropoModifierTest.java
index 3e1e99fe7d94dec9906f6c180c2233cd763f736c..086289dacdf57c51a41dd620c4c9ec7c3f326bdd 100644
--- a/src/test/java/org/orekit/estimation/measurements/modifiers/TropoModifierTest.java
+++ b/src/test/java/org/orekit/estimation/measurements/modifiers/TropoModifierTest.java
@@ -25,6 +25,7 @@ import org.junit.After;
import org.junit.Assert;
import org.junit.Before;
import org.junit.Test;
+import org.orekit.bodies.GeodeticPoint;
import org.orekit.estimation.Context;
import org.orekit.estimation.EstimationTestUtils;
import org.orekit.estimation.measurements.AngularAzEl;
@@ -43,7 +44,10 @@ import org.orekit.estimation.measurements.modifiers.AngularTroposphericDelayModi
import org.orekit.estimation.measurements.modifiers.RangeRateTroposphericDelayModifier;
import org.orekit.estimation.measurements.modifiers.RangeTroposphericDelayModifier;
import org.orekit.estimation.measurements.modifiers.TurnAroundRangeTroposphericDelayModifier;
+import org.orekit.frames.TopocentricFrame;
import org.orekit.models.earth.EarthITU453AtmosphereRefraction;
+import org.orekit.models.earth.NiellMappingFunctionModel;
+import org.orekit.models.earth.EstimatedTroposphericModel;
import org.orekit.models.earth.SaastamoinenModel;
import org.orekit.orbits.OrbitType;
import org.orekit.orbits.PositionAngle;
@@ -51,6 +55,7 @@ import org.orekit.propagation.Propagator;
import org.orekit.propagation.SpacecraftState;
import org.orekit.propagation.conversion.NumericalPropagatorBuilder;
import org.orekit.time.AbsoluteDate;
+import org.orekit.utils.ParameterDriver;
public class TropoModifierTest {
@@ -111,6 +116,54 @@ public class TropoModifierTest {
}
}
+ @Test
+ public void testRangeEstimatedTropoModifier() {
+
+ Context context = EstimationTestUtils.eccentricContext("regular-data:potential:tides");
+
+ final NumericalPropagatorBuilder propagatorBuilder =
+ context.createBuilder(OrbitType.KEPLERIAN, PositionAngle.TRUE, true,
+ 1.0e-6, 60.0, 0.001);
+
+ final Propagator propagator = EstimationTestUtils.createPropagator(context.initialOrbit,
+ propagatorBuilder);
+ final List<ObservedMeasurement<?>> measurements =
+ EstimationTestUtils.createMeasurements(propagator,
+ new RangeMeasurementCreator(context),
+ 1.0, 3.0, 300.0);
+ propagator.setSlaveMode();
+
+ for (final ObservedMeasurement<?> measurement : measurements) {
+ final AbsoluteDate date = measurement.getDate();
+
+ final SpacecraftState refState = propagator.propagate(date);
+
+ Range range = (Range) measurement;
+ EstimatedMeasurement<Range> evalNoMod = range.estimate(0, 0, new SpacecraftState[] { refState });
+
+
+ // add modifier
+ final GroundStation stationParameter = ((Range) measurement).getStation();
+ final TopocentricFrame baseFrame = stationParameter.getBaseFrame();
+ final GeodeticPoint point = baseFrame.getPoint();
+ final NiellMappingFunctionModel mappingFunction = new NiellMappingFunctionModel(point.getLatitude());
+ final EstimatedTroposphericModel tropoModel = new EstimatedTroposphericModel(mappingFunction, 5.0);
+ final RangeTroposphericDelayModifier modifier = new RangeTroposphericDelayModifier(tropoModel);
+
+ final ParameterDriver parameterDriver = modifier.getParametersDrivers().get(0);
+ parameterDriver.setSelected(true);
+ parameterDriver.setName(baseFrame.getName() + EstimatedTroposphericModel.TOTAL_ZENITH_DELAY);
+ range.addModifier(modifier);
+ EstimatedMeasurement<Range> eval = range.estimate(0, 0, new SpacecraftState[] { refState });
+
+ final double diffMeters = eval.getEstimatedValue()[0] - evalNoMod.getEstimatedValue()[0];
+
+ final double epsilon = 1e-6;
+ Assert.assertTrue(Precision.compareTo(diffMeters, 12., epsilon) < 0);
+ Assert.assertTrue(Precision.compareTo(diffMeters, 0., epsilon) > 0);
+ }
+ }
+
@Test
public void testTurnAroundRangeTropoModifier() {
@@ -212,6 +265,55 @@ public class TropoModifierTest {
}
}
+ @Test
+ public void testRangeRateEstimatedTropoModifier() {
+
+ Context context = EstimationTestUtils.eccentricContext("regular-data:potential:tides");
+
+ final NumericalPropagatorBuilder propagatorBuilder =
+ context.createBuilder(OrbitType.KEPLERIAN, PositionAngle.TRUE, true,
+ 1.0e-6, 60.0, 0.001);
+
+ final Propagator propagator = EstimationTestUtils.createPropagator(context.initialOrbit,
+ propagatorBuilder);
+ final List<ObservedMeasurement<?>> measurements =
+ EstimationTestUtils.createMeasurements(propagator,
+ new RangeRateMeasurementCreator(context, false),
+ 1.0, 3.0, 300.0);
+ propagator.setSlaveMode();
+
+ for (final ObservedMeasurement<?> measurement : measurements) {
+ final AbsoluteDate date = measurement.getDate();
+
+ final SpacecraftState refState = propagator.propagate(date);
+
+ RangeRate rangeRate = (RangeRate) measurement;
+ EstimatedMeasurement<RangeRate> evalNoMod = rangeRate.estimate(0, 0, new SpacecraftState[] { refState });
+
+ // add modifier
+ final GroundStation stationParameter = ((RangeRate) measurement).getStation();
+ final TopocentricFrame baseFrame = stationParameter.getBaseFrame();
+ final GeodeticPoint point = baseFrame.getPoint();
+ final NiellMappingFunctionModel mappingFunction = new NiellMappingFunctionModel(point.getLatitude());
+ final EstimatedTroposphericModel tropoModel = new EstimatedTroposphericModel(mappingFunction, 5.0);
+ final RangeRateTroposphericDelayModifier modifier = new RangeRateTroposphericDelayModifier(tropoModel, false);
+
+ final ParameterDriver parameterDriver = modifier.getParametersDrivers().get(0);
+ parameterDriver.setSelected(true);
+ parameterDriver.setName(baseFrame.getName() + EstimatedTroposphericModel.TOTAL_ZENITH_DELAY);
+ rangeRate.addModifier(modifier);
+
+ //
+ EstimatedMeasurement<RangeRate> eval = rangeRate.estimate(0, 0, new SpacecraftState[] { refState });
+
+ final double diffMetersSec = eval.getEstimatedValue()[0] - evalNoMod.getEstimatedValue()[0];
+
+ final double epsilon = 1e-6;
+ Assert.assertTrue(Precision.compareTo(diffMetersSec, 0.01, epsilon) < 0);
+ Assert.assertTrue(Precision.compareTo(diffMetersSec, -0.01, epsilon) > 0);
+ }
+ }
+
@Test
public void testAngularTropoModifier() {
@@ -259,6 +361,60 @@ public class TropoModifierTest {
}
}
+ @Test
+ public void testAngularEstimatedTropoModifier() {
+
+ Context context = EstimationTestUtils.eccentricContext("regular-data:potential:tides");
+
+ final NumericalPropagatorBuilder propagatorBuilder =
+ context.createBuilder(OrbitType.KEPLERIAN, PositionAngle.TRUE, true,
+ 1.0e-6, 60.0, 0.001);
+
+ // create perfect angular measurements
+ for (final GroundStation station : context.stations) {
+ station.getEastOffsetDriver().setSelected(true);
+ station.getNorthOffsetDriver().setSelected(true);
+ station.getZenithOffsetDriver().setSelected(true);
+ }
+ final Propagator propagator = EstimationTestUtils.createPropagator(context.initialOrbit,
+ propagatorBuilder);
+ final List<ObservedMeasurement<?>> measurements =
+ EstimationTestUtils.createMeasurements(propagator,
+ new AngularAzElMeasurementCreator(context),
+ 1.0, 3.0, 300.0);
+ propagator.setSlaveMode();
+
+ for (final ObservedMeasurement<?> measurement : measurements) {
+ final AbsoluteDate date = measurement.getDate();
+
+ final SpacecraftState refState = propagator.propagate(date);
+
+ AngularAzEl angular = (AngularAzEl) measurement;
+ EstimatedMeasurement<AngularAzEl> evalNoMod = angular.estimate(0, 0, new SpacecraftState[] { refState });
+
+ // add modifier
+ final GroundStation stationParameter = ((AngularAzEl) measurement).getStation();
+ final TopocentricFrame baseFrame = stationParameter.getBaseFrame();
+ final GeodeticPoint point = baseFrame.getPoint();
+ final NiellMappingFunctionModel mappingFunction = new NiellMappingFunctionModel(point.getLatitude());
+ final EstimatedTroposphericModel tropoModel = new EstimatedTroposphericModel(mappingFunction, 5.0);
+ final AngularTroposphericDelayModifier modifier = new AngularTroposphericDelayModifier(tropoModel);
+
+ final ParameterDriver parameterDriver = modifier.getParametersDrivers().get(0);
+ parameterDriver.setSelected(true);
+ parameterDriver.setName(baseFrame.getName() + EstimatedTroposphericModel.TOTAL_ZENITH_DELAY);
+ angular.addModifier(modifier);
+ //
+ EstimatedMeasurement<AngularAzEl> eval = angular.estimate(0, 0, new SpacecraftState[] { refState });
+
+ final double diffAz = MathUtils.normalizeAngle(eval.getEstimatedValue()[0], evalNoMod.getEstimatedValue()[0]) - evalNoMod.getEstimatedValue()[0];
+ final double diffEl = MathUtils.normalizeAngle(eval.getEstimatedValue()[1], evalNoMod.getEstimatedValue()[1]) - evalNoMod.getEstimatedValue()[1];
+
+ Assert.assertEquals(0.0, diffAz, 1.9e-5);
+ Assert.assertEquals(0.0, diffEl, 2.1e-6);
+ }
+ }
+
@Test
public void testAngularRadioRefractionModifier() {
@@ -308,5 +464,3 @@ public class TropoModifierTest {
}
}
}
-
-
diff --git a/src/test/java/org/orekit/estimation/sequential/KalmanOrbitDeterminationTest.java b/src/test/java/org/orekit/estimation/sequential/KalmanOrbitDeterminationTest.java
index 89d394fbdcfa8784209c255b8bc5d94a1092753a..0a6154dc2de54581f9f986335753b86f6a6e6d43 100644
--- a/src/test/java/org/orekit/estimation/sequential/KalmanOrbitDeterminationTest.java
+++ b/src/test/java/org/orekit/estimation/sequential/KalmanOrbitDeterminationTest.java
@@ -108,10 +108,15 @@ import org.orekit.gnss.ObservationDataSet;
import org.orekit.gnss.RinexLoader;
import org.orekit.gnss.SatelliteSystem;
import org.orekit.models.AtmosphericRefractionModel;
+import org.orekit.models.earth.DiscreteTroposphericModel;
import org.orekit.models.earth.EarthITU453AtmosphereRefraction;
+import org.orekit.models.earth.EstimatedTroposphericModel;
+import org.orekit.models.earth.GlobalMappingFunctionModel;
import org.orekit.models.earth.IonosphericModel;
import org.orekit.models.earth.KlobucharIonoCoefficientsLoader;
import org.orekit.models.earth.KlobucharIonoModel;
+import org.orekit.models.earth.MappingFunction;
+import org.orekit.models.earth.NiellMappingFunctionModel;
import org.orekit.models.earth.SaastamoinenModel;
import org.orekit.models.earth.displacement.OceanLoading;
import org.orekit.models.earth.displacement.OceanLoadingCoefficientsBLQFactory;
@@ -1577,36 +1582,41 @@ public class KalmanOrbitDeterminationTest {
final Map<String, StationData> stations = new HashMap<String, StationData>();
- final String[] stationNames = parser.getStringArray(ParameterKey.GROUND_STATION_NAME);
- final double[] stationLatitudes = parser.getAngleArray(ParameterKey.GROUND_STATION_LATITUDE);
- final double[] stationLongitudes = parser.getAngleArray(ParameterKey.GROUND_STATION_LONGITUDE);
- final double[] stationAltitudes = parser.getDoubleArray(ParameterKey.GROUND_STATION_ALTITUDE);
- final double[] stationClockOffsets = parser.getDoubleArray(ParameterKey.GROUND_STATION_CLOCK_OFFSET);
- final double[] stationClockOffsetsMin = parser.getDoubleArray(ParameterKey.GROUND_STATION_CLOCK_OFFSET_MIN);
- final double[] stationClockOffsetsMax = parser.getDoubleArray(ParameterKey.GROUND_STATION_CLOCK_OFFSET_MAX);
- final boolean[] stationClockOffsetEstimated = parser.getBooleanArray(ParameterKey.GROUND_STATION_CLOCK_OFFSET_ESTIMATED);
- final boolean[] stationPositionEstimated = parser.getBooleanArray(ParameterKey.GROUND_STATION_POSITION_ESTIMATED);
- final double[] stationRangeSigma = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_SIGMA);
- final double[] stationRangeBias = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_BIAS);
- final double[] stationRangeBiasMin = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_BIAS_MIN);
- final double[] stationRangeBiasMax = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_BIAS_MAX);
- final boolean[] stationRangeBiasEstimated = parser.getBooleanArray(ParameterKey.GROUND_STATION_RANGE_BIAS_ESTIMATED);
- final double[] stationRangeRateSigma = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_RATE_SIGMA);
- final double[] stationRangeRateBias = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_RATE_BIAS);
- final double[] stationRangeRateBiasMin = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_RATE_BIAS_MIN);
- final double[] stationRangeRateBiasMax = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_RATE_BIAS_MAX);
- final boolean[] stationRangeRateBiasEstimated = parser.getBooleanArray(ParameterKey.GROUND_STATION_RANGE_RATE_BIAS_ESTIMATED);
- final double[] stationAzimuthSigma = parser.getAngleArray(ParameterKey.GROUND_STATION_AZIMUTH_SIGMA);
- final double[] stationAzimuthBias = parser.getAngleArray(ParameterKey.GROUND_STATION_AZIMUTH_BIAS);
- final double[] stationAzimuthBiasMin = parser.getAngleArray(ParameterKey.GROUND_STATION_AZIMUTH_BIAS_MIN);
- final double[] stationAzimuthBiasMax = parser.getAngleArray(ParameterKey.GROUND_STATION_AZIMUTH_BIAS_MAX);
- final double[] stationElevationSigma = parser.getAngleArray(ParameterKey.GROUND_STATION_ELEVATION_SIGMA);
- final double[] stationElevationBias = parser.getAngleArray(ParameterKey.GROUND_STATION_ELEVATION_BIAS);
- final double[] stationElevationBiasMin = parser.getAngleArray(ParameterKey.GROUND_STATION_ELEVATION_BIAS_MIN);
- final double[] stationElevationBiasMax = parser.getAngleArray(ParameterKey.GROUND_STATION_ELEVATION_BIAS_MAX);
- final boolean[] stationAzElBiasesEstimated = parser.getBooleanArray(ParameterKey.GROUND_STATION_AZ_EL_BIASES_ESTIMATED);
- final boolean[] stationElevationRefraction = parser.getBooleanArray(ParameterKey.GROUND_STATION_ELEVATION_REFRACTION_CORRECTION);
- final boolean[] stationRangeTropospheric = parser.getBooleanArray(ParameterKey.GROUND_STATION_RANGE_TROPOSPHERIC_CORRECTION);
+ final String[] stationNames = parser.getStringArray(ParameterKey.GROUND_STATION_NAME);
+ final double[] stationLatitudes = parser.getAngleArray(ParameterKey.GROUND_STATION_LATITUDE);
+ final double[] stationLongitudes = parser.getAngleArray(ParameterKey.GROUND_STATION_LONGITUDE);
+ final double[] stationAltitudes = parser.getDoubleArray(ParameterKey.GROUND_STATION_ALTITUDE);
+ final boolean[] stationPositionEstimated = parser.getBooleanArray(ParameterKey.GROUND_STATION_POSITION_ESTIMATED);
+ final double[] stationClockOffsets = parser.getDoubleArray(ParameterKey.GROUND_STATION_CLOCK_OFFSET);
+ final double[] stationClockOffsetsMin = parser.getDoubleArray(ParameterKey.GROUND_STATION_CLOCK_OFFSET_MIN);
+ final double[] stationClockOffsetsMax = parser.getDoubleArray(ParameterKey.GROUND_STATION_CLOCK_OFFSET_MAX);
+ final boolean[] stationClockOffsetEstimated = parser.getBooleanArray(ParameterKey.GROUND_STATION_CLOCK_OFFSET_ESTIMATED);
+ final double[] stationRangeSigma = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_SIGMA);
+ final double[] stationRangeBias = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_BIAS);
+ final double[] stationRangeBiasMin = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_BIAS_MIN);
+ final double[] stationRangeBiasMax = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_BIAS_MAX);
+ final boolean[] stationRangeBiasEstimated = parser.getBooleanArray(ParameterKey.GROUND_STATION_RANGE_BIAS_ESTIMATED);
+ final double[] stationRangeRateSigma = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_RATE_SIGMA);
+ final double[] stationRangeRateBias = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_RATE_BIAS);
+ final double[] stationRangeRateBiasMin = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_RATE_BIAS_MIN);
+ final double[] stationRangeRateBiasMax = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_RATE_BIAS_MAX);
+ final boolean[] stationRangeRateBiasEstimated = parser.getBooleanArray(ParameterKey.GROUND_STATION_RANGE_RATE_BIAS_ESTIMATED);
+ final double[] stationAzimuthSigma = parser.getAngleArray(ParameterKey.GROUND_STATION_AZIMUTH_SIGMA);
+ final double[] stationAzimuthBias = parser.getAngleArray(ParameterKey.GROUND_STATION_AZIMUTH_BIAS);
+ final double[] stationAzimuthBiasMin = parser.getAngleArray(ParameterKey.GROUND_STATION_AZIMUTH_BIAS_MIN);
+ final double[] stationAzimuthBiasMax = parser.getAngleArray(ParameterKey.GROUND_STATION_AZIMUTH_BIAS_MAX);
+ final double[] stationElevationSigma = parser.getAngleArray(ParameterKey.GROUND_STATION_ELEVATION_SIGMA);
+ final double[] stationElevationBias = parser.getAngleArray(ParameterKey.GROUND_STATION_ELEVATION_BIAS);
+ final double[] stationElevationBiasMin = parser.getAngleArray(ParameterKey.GROUND_STATION_ELEVATION_BIAS_MIN);
+ final double[] stationElevationBiasMax = parser.getAngleArray(ParameterKey.GROUND_STATION_ELEVATION_BIAS_MAX);
+ final boolean[] stationAzElBiasesEstimated = parser.getBooleanArray(ParameterKey.GROUND_STATION_AZ_EL_BIASES_ESTIMATED);
+ final boolean[] stationElevationRefraction = parser.getBooleanArray(ParameterKey.GROUND_STATION_ELEVATION_REFRACTION_CORRECTION);
+ final boolean[] stationTroposphericModelEstimated = parser.getBooleanArray(ParameterKey.GROUND_STATION_TROPOSPHERIC_MODEL_ESTIMATED);
+ final double[] stationTroposphericZenithDelay = parser.getDoubleArray(ParameterKey.GROUND_STATION_TROPOSPHERIC_ZENITH_DELAY);
+ final boolean[] stationZenithDelayEstimated = parser.getBooleanArray(ParameterKey.GROUND_STATION_TROPOSPHERIC_DELAY_ESTIMATED);
+ final boolean[] stationGlobalMappingFunction = parser.getBooleanArray(ParameterKey.GROUND_STATION_GLOBAL_MAPPING_FUNCTION);
+ final boolean[] stationNiellMappingFunction = parser.getBooleanArray(ParameterKey.GROUND_STATION_NIELL_MAPPING_FUNCTION);
+ final boolean[] stationRangeTropospheric = parser.getBooleanArray(ParameterKey.GROUND_STATION_RANGE_TROPOSPHERIC_CORRECTION);
//final boolean[] stationIonosphericCorrection = parser.getBooleanArray(ParameterKey.GROUND_STATION_IONOSPHERIC_CORRECTION);
final TidalDisplacement tidalDisplacement;
@@ -1774,7 +1784,23 @@ public class KalmanOrbitDeterminationTest {
final RangeTroposphericDelayModifier rangeTroposphericCorrection;
if (stationRangeTropospheric[i]) {
- final SaastamoinenModel troposphericModel = SaastamoinenModel.getStandardModel();
+ MappingFunction mappingModel = null;
+ if (stationGlobalMappingFunction[i]) {
+ mappingModel = new GlobalMappingFunctionModel(stationLatitudes[i],
+ stationLongitudes[i]);
+ } else if (stationNiellMappingFunction[i]) {
+ mappingModel = new NiellMappingFunctionModel(stationLatitudes[i]);
+ }
+
+ final DiscreteTroposphericModel troposphericModel;
+ if (stationTroposphericModelEstimated[i] && mappingModel != null) {
+ troposphericModel = new EstimatedTroposphericModel(mappingModel, stationTroposphericZenithDelay[i]);
+ ParameterDriver totalDelay = troposphericModel.getParametersDrivers().get(0);
+ totalDelay.setSelected(stationZenithDelayEstimated[i]);
+ totalDelay.setName(stationNames[i].substring(0, 5) + EstimatedTroposphericModel.TOTAL_ZENITH_DELAY);
+ } else {
+ troposphericModel = SaastamoinenModel.getStandardModel();
+ }
rangeTroposphericCorrection = new RangeTroposphericDelayModifier(troposphericModel);
} else {
@@ -2874,6 +2900,11 @@ public class KalmanOrbitDeterminationTest {
GROUND_STATION_CLOCK_OFFSET_MAX,
GROUND_STATION_CLOCK_OFFSET_ESTIMATED,
GROUND_STATION_POSITION_ESTIMATED,
+ GROUND_STATION_TROPOSPHERIC_MODEL_ESTIMATED,
+ GROUND_STATION_GLOBAL_MAPPING_FUNCTION,
+ GROUND_STATION_NIELL_MAPPING_FUNCTION,
+ GROUND_STATION_TROPOSPHERIC_ZENITH_DELAY,
+ GROUND_STATION_TROPOSPHERIC_DELAY_ESTIMATED,
GROUND_STATION_RANGE_SIGMA,
GROUND_STATION_RANGE_BIAS,
GROUND_STATION_RANGE_BIAS_MIN,
diff --git a/src/test/java/org/orekit/frames/TopocentricFrameTest.java b/src/test/java/org/orekit/frames/TopocentricFrameTest.java
index 32dd0491cd9142155c8a9bdb8527f012de4bed31..741d26435a2ea15c51c2aa789e97cdbb05e5f9bb 100644
--- a/src/test/java/org/orekit/frames/TopocentricFrameTest.java
+++ b/src/test/java/org/orekit/frames/TopocentricFrameTest.java
@@ -20,10 +20,14 @@ package org.orekit.frames;
import java.io.IOException;
+import org.hipparchus.Field;
+import org.hipparchus.RealFieldElement;
import org.hipparchus.analysis.polynomials.PolynomialFunction;
+import org.hipparchus.geometry.euclidean.threed.FieldVector3D;
import org.hipparchus.geometry.euclidean.threed.Vector3D;
import org.hipparchus.random.RandomGenerator;
import org.hipparchus.random.Well1024a;
+import org.hipparchus.util.Decimal64Field;
import org.hipparchus.util.FastMath;
import org.hipparchus.util.MathUtils;
import org.junit.After;
@@ -32,18 +36,24 @@ import org.junit.Before;
import org.junit.Test;
import org.orekit.Utils;
import org.orekit.bodies.BodyShape;
+import org.orekit.bodies.FieldGeodeticPoint;
import org.orekit.bodies.GeodeticPoint;
import org.orekit.bodies.OneAxisEllipsoid;
import org.orekit.errors.OrekitException;
import org.orekit.orbits.CircularOrbit;
+import org.orekit.orbits.FieldCircularOrbit;
import org.orekit.orbits.PositionAngle;
+import org.orekit.propagation.FieldSpacecraftState;
import org.orekit.propagation.SpacecraftState;
+import org.orekit.propagation.analytical.FieldKeplerianPropagator;
import org.orekit.propagation.analytical.KeplerianPropagator;
import org.orekit.time.AbsoluteDate;
import org.orekit.time.DateComponents;
+import org.orekit.time.FieldAbsoluteDate;
import org.orekit.time.TimeComponents;
import org.orekit.time.TimeScalesFactory;
import org.orekit.utils.Constants;
+import org.orekit.utils.FieldPVCoordinates;
import org.orekit.utils.IERSConventions;
import org.orekit.utils.PVCoordinates;
@@ -187,6 +197,37 @@ public class TopocentricFrameTest {
Assert.assertEquals(800000., range, 1e-8);
}
+ @Test
+ public void testFieldSiteAtZenith() {
+ doTestFieldSiteAtZenith(Decimal64Field.getInstance());
+ }
+
+ private <T extends RealFieldElement<T>> void doTestFieldSiteAtZenith(final Field<T> field)
+ {
+
+ // zero
+ final T zero = field.getZero();
+
+ // Surface point at latitude 45°
+ final GeodeticPoint point = new GeodeticPoint(FastMath.toRadians(45.), FastMath.toRadians(30.), 0.);
+ final TopocentricFrame topoFrame = new TopocentricFrame(earthSpheric, point, "lon 30 lat 45");
+
+ // Point at 800 km over zenith
+ final FieldGeodeticPoint<T> satPoint = new FieldGeodeticPoint<>(zero.add(FastMath.toRadians(45.)),
+ zero.add(FastMath.toRadians(30.)),
+ zero.add(800000.));
+
+ // Field date
+ final FieldAbsoluteDate<T> fieldDate = new FieldAbsoluteDate<>(field, date);
+ // Zenith point elevation = 90 deg
+ final T site = topoFrame.getElevation(earthSpheric.transform(satPoint), earthSpheric.getBodyFrame(), fieldDate);
+ Assert.assertEquals(FastMath.PI/2., site.getReal(), Utils.epsilonAngle);
+
+ // Zenith point range = defined altitude
+ final T range = topoFrame.getRange(earthSpheric.transform(satPoint), earthSpheric.getBodyFrame(), fieldDate);
+ Assert.assertEquals(800000., range.getReal(), 1e-8);
+ }
+
@Test
public void testAzimuthEquatorial()
{
@@ -221,6 +262,53 @@ public class TopocentricFrameTest {
}
+ @Test
+ public void testFieldAzimuthEquatorial() {
+ doTestFieldAzimuthEquatorial(Decimal64Field.getInstance());
+ }
+
+ private <T extends RealFieldElement<T>> void doTestFieldAzimuthEquatorial(final Field<T> field)
+ {
+
+ // zero
+ final T zero = field.getZero();
+
+ // Surface point at latitude 0
+ final GeodeticPoint point = new GeodeticPoint(FastMath.toRadians(0.), FastMath.toRadians(30.), 0.);
+ final TopocentricFrame topoFrame = new TopocentricFrame(earthSpheric, point, "lon 30 lat 0");
+
+ // Point at infinite, separated by +20 deg in longitude
+ // *****************************************************
+ FieldGeodeticPoint<T> infPoint = new FieldGeodeticPoint<>(zero.add(FastMath.toRadians(0.)),
+ zero.add(FastMath.toRadians(50.)),
+ zero.add(1000000000.));
+
+ // Field date
+ final FieldAbsoluteDate<T> fieldDate = new FieldAbsoluteDate<>(field, date);
+ // Azimuth = pi/2
+ T azi = topoFrame.getAzimuth(earthSpheric.transform(infPoint), earthSpheric.getBodyFrame(), fieldDate);
+ Assert.assertEquals(FastMath.PI/2., azi.getReal(), Utils.epsilonAngle);
+
+ // Site = pi/2 - longitude difference
+ T site = topoFrame.getElevation(earthSpheric.transform(infPoint), earthSpheric.getBodyFrame(), fieldDate);
+ Assert.assertEquals(FastMath.abs(infPoint.getLongitude().negate().add(point.getLongitude())).negate().add(FastMath.PI/2.).getReal(), site.getReal(), 1.e-2);
+
+ // Point at infinite, separated by -20 deg in longitude
+ // *****************************************************
+ infPoint = new FieldGeodeticPoint<>(zero.add(FastMath.toRadians(0.)),
+ zero.add(FastMath.toRadians(10.)),
+ zero.add(1000000000.));
+
+ // Azimuth = pi/2
+ azi = topoFrame.getAzimuth(earthSpheric.transform(infPoint), earthSpheric.getBodyFrame(), fieldDate);
+ Assert.assertEquals(3*FastMath.PI/2., azi.getReal(), Utils.epsilonAngle);
+
+ // Site = pi/2 - longitude difference
+ site = topoFrame.getElevation(earthSpheric.transform(infPoint), earthSpheric.getBodyFrame(), fieldDate);
+ Assert.assertEquals(FastMath.abs(infPoint.getLongitude().negate().add(point.getLongitude())).negate().add(FastMath.PI/2.).getReal(), site.getReal(), 1.e-2);
+
+ }
+
@Test
public void testAzimuthPole()
{
@@ -247,6 +335,44 @@ public class TopocentricFrameTest {
}
+ @Test
+ public void testFieldAzimuthPole() {
+ doTestFieldAzimuthPole(Decimal64Field.getInstance());
+ }
+
+ private <T extends RealFieldElement<T>> void doTestFieldAzimuthPole(final Field<T> field)
+ {
+
+ // zero
+ final T zero = field.getZero();
+
+ // Surface point at latitude 0
+ final GeodeticPoint point = new GeodeticPoint(FastMath.toRadians(89.999), FastMath.toRadians(0.), 0.);
+ final TopocentricFrame topoFrame = new TopocentricFrame(earthSpheric, point, "lon 0 lat 90");
+
+ // Point at 30 deg longitude
+ // **************************
+ FieldGeodeticPoint<T> satPoint = new FieldGeodeticPoint<>(zero.add(FastMath.toRadians(28.)),
+ zero.add(FastMath.toRadians(30.)), zero.add(800000.));
+
+ // Field date
+ final FieldAbsoluteDate<T> fieldDate = new FieldAbsoluteDate<>(field, date);
+
+ // Azimuth =
+ T azi = topoFrame.getAzimuth(earthSpheric.transform(satPoint), earthSpheric.getBodyFrame(), fieldDate);
+ Assert.assertEquals(satPoint.getLongitude().negate().add(FastMath.PI).getReal(), azi.getReal(), 1.e-5);
+
+ // Point at -30 deg longitude
+ // ***************************
+ satPoint = new FieldGeodeticPoint<>(zero.add(FastMath.toRadians(28.)),
+ zero.add(FastMath.toRadians(-30.)), zero.add(800000.));
+
+ // Azimuth =
+ azi = topoFrame.getAzimuth(earthSpheric.transform(satPoint), earthSpheric.getBodyFrame(), fieldDate);
+ Assert.assertEquals(satPoint.getLongitude().negate().add(FastMath.PI).getReal(), azi.getReal(), 1.e-5);
+
+ }
+
@Test
public void testDoppler()
{
@@ -295,6 +421,65 @@ public class TopocentricFrameTest {
}
+ @Test
+ public void testFieldDoppler() {
+ doTestFieldDoppler(Decimal64Field.getInstance());
+ }
+
+ private <T extends RealFieldElement<T>> void doTestFieldDoppler(final Field<T> field)
+ {
+
+ // zero
+ final T zero = field.getZero();
+
+ // Surface point at latitude 45, longitude 5
+ final GeodeticPoint point = new GeodeticPoint(FastMath.toRadians(45.), FastMath.toRadians(5.), 0.);
+ final TopocentricFrame topoFrame = new TopocentricFrame(earthSpheric, point, "lon 5 lat 45");
+
+ // Field date
+ final FieldAbsoluteDate<T> fieldDate = new FieldAbsoluteDate<>(field, date);
+
+ // Point at 30 deg longitude
+ // ***************************
+ final FieldCircularOrbit<T> orbit =
+ new FieldCircularOrbit<>(zero.add(7178000.0), zero.add(0.5e-8), zero.add(-0.5e-8),
+ zero.add(FastMath.toRadians(50.)), zero.add(FastMath.toRadians(120.)),
+ zero.add(FastMath.toRadians(90.)), PositionAngle.MEAN,
+ FramesFactory.getEME2000(), fieldDate, mu);
+
+ // Transform satellite position to position/velocity parameters in body frame
+ final FieldTransform<T> eme2000ToItrf = FramesFactory.getEME2000().getTransformTo(earthSpheric.getBodyFrame(), fieldDate);
+ final FieldPVCoordinates<T> pvSatItrf = eme2000ToItrf.transformPVCoordinates(orbit.getPVCoordinates());
+
+ // Compute range rate directly
+ //********************************************
+ final T dop = topoFrame.getRangeRate(pvSatItrf, earthSpheric.getBodyFrame(), fieldDate);
+
+ // Compare to finite difference computation (2 points)
+ //*****************************************************
+ final double dt = 0.1;
+ FieldKeplerianPropagator<T> extrapolator = new FieldKeplerianPropagator<>(orbit);
+
+ // Extrapolate satellite position a short while after reference date
+ FieldAbsoluteDate<T> dateP = fieldDate.shiftedBy(dt);
+ FieldTransform<T> j2000ToItrfP = FramesFactory.getEME2000().getTransformTo(earthSpheric.getBodyFrame(), dateP);
+ FieldSpacecraftState<T> orbitP = extrapolator.propagate(dateP);
+ FieldVector3D<T> satPointGeoP = j2000ToItrfP.transformPVCoordinates(orbitP.getPVCoordinates()).getPosition();
+
+ // Retropolate satellite position a short while before reference date
+ FieldAbsoluteDate<T> dateM = fieldDate.shiftedBy(-dt);
+ FieldTransform<T> j2000ToItrfM = FramesFactory.getEME2000().getTransformTo(earthSpheric.getBodyFrame(), dateM);
+ FieldSpacecraftState<T> orbitM = extrapolator.propagate(dateM);
+ FieldVector3D<T> satPointGeoM = j2000ToItrfM.transformPVCoordinates(orbitM.getPVCoordinates()).getPosition();
+
+ // Compute ranges at both instants
+ T rangeP = topoFrame.getRange(satPointGeoP, earthSpheric.getBodyFrame(), dateP);
+ T rangeM = topoFrame.getRange(satPointGeoM, earthSpheric.getBodyFrame(), dateM);
+ final T dopRef2 = (rangeP.subtract(rangeM)).divide(2. * dt);
+ Assert.assertEquals(dopRef2.getReal(), dop.getReal(), 1.e-3);
+
+ }
+
@Test
public void testEllipticEarth() {
@@ -399,6 +584,126 @@ public class TopocentricFrameTest {
}
+ @Test
+ public void testFieldEllipticEarth() {
+ doTestFieldEllipticEarth(Decimal64Field.getInstance());
+ }
+
+ private <T extends RealFieldElement<T>> void doTestFieldEllipticEarth(final Field<T> field) {
+
+ // zero
+ final T zero = field.getZero();
+
+ // Elliptic earth shape
+ final OneAxisEllipsoid earthElliptic =
+ new OneAxisEllipsoid(6378136.460, 1 / 298.257222101, itrf);
+
+ // Field date
+ final FieldAbsoluteDate<T> fieldDate = new FieldAbsoluteDate<>(field, date);
+
+ // Satellite point
+ // Caution !!! Sat point target shall be the same whatever earth shape chosen !!
+ final FieldGeodeticPoint<T> satPointGeo = new FieldGeodeticPoint<>(zero.add(FastMath.toRadians(30.)),
+ zero.add(FastMath.toRadians(15.)),
+ zero.add(800000.));
+ final FieldVector3D<T> satPoint = earthElliptic.transform(satPointGeo);
+
+ // ****************************
+ // Test at equatorial position
+ // ****************************
+ GeodeticPoint point = new GeodeticPoint(FastMath.toRadians(0.), FastMath.toRadians(5.), 0.);
+ TopocentricFrame topoElliptic = new TopocentricFrame(earthElliptic, point, "elliptic, equatorial lon 5");
+ TopocentricFrame topoSpheric = new TopocentricFrame(earthSpheric, point, "spheric, equatorial lon 5");
+
+ // Compare azimuth/elevation/range of satellite point : shall be strictly identical
+ // ***************************************************
+ T aziElli = topoElliptic.getAzimuth(satPoint, earthElliptic.getBodyFrame(), fieldDate);
+ T aziSphe = topoSpheric.getAzimuth(satPoint, earthSpheric.getBodyFrame(), fieldDate);
+ Assert.assertEquals(aziElli.getReal(), aziSphe.getReal(), Utils.epsilonAngle);
+
+ T eleElli = topoElliptic.getElevation(satPoint, earthElliptic.getBodyFrame(), fieldDate);
+ T eleSphe = topoSpheric.getElevation(satPoint, earthSpheric.getBodyFrame(), fieldDate);
+ Assert.assertEquals(eleElli.getReal(), eleSphe.getReal(), Utils.epsilonAngle);
+
+ T disElli = topoElliptic.getRange(satPoint, earthElliptic.getBodyFrame(), fieldDate);
+ T disSphe = topoSpheric.getRange(satPoint, earthSpheric.getBodyFrame(), fieldDate);
+ Assert.assertEquals(disElli.getReal(), disSphe.getReal(), Utils.epsilonTest);
+
+ // Infinite point separated by -20 deg in longitude
+ // *************************************************
+ FieldGeodeticPoint<T> infPointGeo = new FieldGeodeticPoint<>(zero.add(FastMath.toRadians(0.)),
+ zero.add(FastMath.toRadians(-15.)),
+ zero.add(1000000000.));
+ FieldVector3D<T> infPoint = earthElliptic.transform(infPointGeo);
+
+ // Azimuth = pi/2
+ aziElli = topoElliptic.getAzimuth(infPoint, earthElliptic.getBodyFrame(), fieldDate);
+ Assert.assertEquals(3*FastMath.PI/2., aziElli.getReal(), Utils.epsilonAngle);
+
+ // Site = pi/2 - longitude difference
+ eleElli = topoElliptic.getElevation(infPoint, earthElliptic.getBodyFrame(), fieldDate);
+ Assert.assertEquals(FastMath.abs(infPointGeo.getLongitude().negate().add(point.getLongitude())).negate().add(FastMath.PI/2.).getReal(), eleElli.getReal(), 1.e-2);
+
+ // Infinite point separated by +20 deg in longitude
+ // *************************************************
+ infPointGeo = new FieldGeodeticPoint<>(zero.add(FastMath.toRadians(0.)),
+ zero.add(FastMath.toRadians(25.)),
+ zero.add(1000000000.));
+ infPoint = earthElliptic.transform(infPointGeo);
+
+ // Azimuth = pi/2
+ aziElli = topoElliptic.getAzimuth(infPoint, earthElliptic.getBodyFrame(), fieldDate);
+ Assert.assertEquals(FastMath.PI/2., aziElli.getReal(), Utils.epsilonAngle);
+
+ // Site = pi/2 - longitude difference
+ eleElli = topoElliptic.getElevation(infPoint, earthElliptic.getBodyFrame(), fieldDate);
+ Assert.assertEquals(FastMath.abs(infPointGeo.getLongitude().negate().add(point.getLongitude())).negate().add(FastMath.PI/2.).getReal(), eleElli.getReal(), 1.e-2);
+
+ // ************************
+ // Test at polar position
+ // ************************
+ point = new GeodeticPoint(FastMath.toRadians(89.999), FastMath.toRadians(0.), 0.);
+ topoSpheric = new TopocentricFrame(earthSpheric, point, "lon 0 lat 90");
+ topoElliptic = new TopocentricFrame(earthElliptic, point, "lon 0 lat 90");
+
+ // Compare azimuth/elevation/range of satellite point : slight difference due to earth flatness
+ // ***************************************************
+ aziElli = topoElliptic.getAzimuth(satPoint, earthElliptic.getBodyFrame(), fieldDate);
+ aziSphe = topoSpheric.getAzimuth(satPoint, earthSpheric.getBodyFrame(), fieldDate);
+ Assert.assertEquals(aziElli.getReal(), aziSphe.getReal(), 1.e-7);
+
+ eleElli = topoElliptic.getElevation(satPoint, earthElliptic.getBodyFrame(), fieldDate);
+ eleSphe = topoSpheric.getElevation(satPoint, earthSpheric.getBodyFrame(), fieldDate);
+ Assert.assertEquals(eleElli.getReal(), eleSphe.getReal(), 1.e-2);
+
+ disElli = topoElliptic.getRange(satPoint, earthElliptic.getBodyFrame(), fieldDate);
+ disSphe = topoSpheric.getRange(satPoint, earthSpheric.getBodyFrame(), fieldDate);
+ Assert.assertEquals(disElli.getReal(), disSphe.getReal(), 20.e+3);
+
+
+ // *********************
+ // Test at any position
+ // *********************
+ point = new GeodeticPoint(FastMath.toRadians(60), FastMath.toRadians(30.), 0.);
+ topoSpheric = new TopocentricFrame(earthSpheric, point, "lon 10 lat 45");
+ topoElliptic = new TopocentricFrame(earthElliptic, point, "lon 10 lat 45");
+
+ // Compare azimuth/elevation/range of satellite point : slight difference
+ // ***************************************************
+ aziElli = topoElliptic.getAzimuth(satPoint, earthElliptic.getBodyFrame(), fieldDate);
+ aziSphe = topoSpheric.getAzimuth(satPoint, earthSpheric.getBodyFrame(), fieldDate);
+ Assert.assertEquals(aziElli.getReal(), aziSphe.getReal(), 1.e-2);
+
+ eleElli = topoElliptic.getElevation(satPoint, earthElliptic.getBodyFrame(), fieldDate);
+ eleSphe = topoSpheric.getElevation(satPoint, earthSpheric.getBodyFrame(), fieldDate);
+ Assert.assertEquals(eleElli.getReal(), eleSphe.getReal(), 1.e-2);
+
+ disElli = topoElliptic.getRange(satPoint, earthElliptic.getBodyFrame(), fieldDate);
+ disSphe = topoSpheric.getRange(satPoint, earthSpheric.getBodyFrame(), fieldDate);
+ Assert.assertEquals(disElli.getReal(), disSphe.getReal(), 20.e+3);
+
+ }
+
@Test
public void testPointAtDistance() {
diff --git a/src/test/java/org/orekit/models/earth/EstimatedTroposphericModelTest.java b/src/test/java/org/orekit/models/earth/EstimatedTroposphericModelTest.java
new file mode 100644
index 0000000000000000000000000000000000000000..e983634e6bbc67f83ce58cea5370129060a64910
--- /dev/null
+++ b/src/test/java/org/orekit/models/earth/EstimatedTroposphericModelTest.java
@@ -0,0 +1,408 @@
+/* Copyright 2002-2019 CS Systèmes d'Information
+ * Licensed to CS Systèmes d'Information (CS) under one or more
+ * contributor license agreements. See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * CS licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License. You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.orekit.models.earth;
+
+import java.util.List;
+
+import org.hipparchus.Field;
+import org.hipparchus.analysis.differentiation.DSFactory;
+import org.hipparchus.analysis.differentiation.DerivativeStructure;
+import org.hipparchus.geometry.euclidean.threed.FieldVector3D;
+import org.hipparchus.geometry.euclidean.threed.Vector3D;
+import org.hipparchus.util.FastMath;
+import org.hipparchus.util.Precision;
+import org.junit.Assert;
+import org.junit.Before;
+import org.junit.BeforeClass;
+import org.junit.Test;
+import org.orekit.Utils;
+import org.orekit.attitudes.Attitude;
+import org.orekit.bodies.GeodeticPoint;
+import org.orekit.bodies.OneAxisEllipsoid;
+import org.orekit.errors.OrekitException;
+import org.orekit.estimation.measurements.GroundStation;
+import org.orekit.frames.Frame;
+import org.orekit.frames.FramesFactory;
+import org.orekit.frames.TopocentricFrame;
+import org.orekit.orbits.FieldKeplerianOrbit;
+import org.orekit.orbits.FieldOrbit;
+import org.orekit.orbits.Orbit;
+import org.orekit.orbits.OrbitType;
+import org.orekit.orbits.PositionAngle;
+import org.orekit.propagation.FieldSpacecraftState;
+import org.orekit.propagation.SpacecraftState;
+import org.orekit.propagation.numerical.NumericalPropagator;
+import org.orekit.time.AbsoluteDate;
+import org.orekit.time.FieldAbsoluteDate;
+import org.orekit.time.TimeScalesFactory;
+import org.orekit.utils.Constants;
+import org.orekit.utils.IERSConventions;
+import org.orekit.utils.ParameterDriver;
+import org.orekit.utils.ParameterDriversList;
+
+public class EstimatedTroposphericModelTest {
+
+ @BeforeClass
+ public static void setUpGlobal() {
+ Utils.setDataRoot("atmosphere");
+ }
+
+ @Before
+ public void setUp() throws OrekitException {
+ Utils.setDataRoot("regular-data:potential/shm-format");
+ }
+
+ @Test
+ public void testFixedHeight() {
+ final AbsoluteDate date = new AbsoluteDate();
+ MappingFunction mapping = new NiellMappingFunctionModel(FastMath.toRadians(45.0));
+ DiscreteTroposphericModel model = new EstimatedTroposphericModel(mapping, 2.0);
+ double lastDelay = Double.MAX_VALUE;
+ // delay shall decline with increasing elevation angle
+ for (double elev = 10d; elev < 90d; elev += 8d) {
+ final double delay = model.pathDelay(FastMath.toRadians(elev), 350, model.getParameters(), date);
+ Assert.assertTrue(Precision.compareTo(delay, lastDelay, 1.0e-6) < 0);
+ lastDelay = delay;
+ }
+ }
+
+ @Test
+ public void testDelay() {
+ final double elevation = 10d;
+ final double height = 100d;
+ final AbsoluteDate date = new AbsoluteDate();
+ MappingFunction mapping = new NiellMappingFunctionModel(FastMath.toRadians(45.0));
+ DiscreteTroposphericModel model = new EstimatedTroposphericModel(mapping, 2.0);
+ final double path = model.pathDelay(FastMath.toRadians(elevation), height, model.getParameters(), date);
+ Assert.assertTrue(Precision.compareTo(path, 20d, 1.0e-6) < 0);
+ Assert.assertTrue(Precision.compareTo(path, 0d, 1.0e-6) > 0);
+ }
+
+ @Test
+ public void testStateDerivativesGMF() {
+ final double latitude = FastMath.toRadians(45.0);
+ final double longitude = FastMath.toRadians(45.0);
+ final MappingFunction gmf = new GlobalMappingFunctionModel(latitude, longitude);
+ doTestDelayStateDerivatives(gmf, latitude, longitude, 4.7e-9);
+ }
+
+ @Test
+ public void testStateDerivativesNMF() {
+ final double latitude = FastMath.toRadians(45.0);
+ final double longitude = FastMath.toRadians(45.0);
+ final MappingFunction nmf = new NiellMappingFunctionModel(latitude);
+ doTestDelayStateDerivatives(nmf, latitude, longitude, 4.4e-9);
+ }
+
+ private void doTestDelayStateDerivatives(final MappingFunction func, final double latitude,
+ final double longitude, final double tolerance) {
+
+ // Geodetic point
+ final double height = 0.0;
+ final GeodeticPoint point = new GeodeticPoint(latitude, longitude, height);
+ // Body: earth
+ final OneAxisEllipsoid earth = new OneAxisEllipsoid(Constants.WGS84_EARTH_EQUATORIAL_RADIUS,
+ Constants.WGS84_EARTH_FLATTENING,
+ FramesFactory.getITRF(IERSConventions.IERS_2010, true));
+ // Topocentric frame
+ final TopocentricFrame baseFrame = new TopocentricFrame(earth, point, "topo");
+
+ // Station
+ final GroundStation station = new GroundStation(baseFrame);
+
+ // Tropospheric model
+ final DiscreteTroposphericModel model = new EstimatedTroposphericModel(func, 2.0);
+
+ // Derivative Structure
+ final DSFactory factory = new DSFactory(6, 1);
+ final DerivativeStructure a0 = factory.variable(0, 24464560.0);
+ final DerivativeStructure e0 = factory.variable(1, 0.05);
+ final DerivativeStructure i0 = factory.variable(2, 0.122138);
+ final DerivativeStructure pa0 = factory.variable(3, 3.10686);
+ final DerivativeStructure raan0 = factory.variable(4, 1.00681);
+ final DerivativeStructure anomaly0 = factory.variable(5, 0.048363);
+ final Field<DerivativeStructure> field = a0.getField();
+ final DerivativeStructure zero = field.getZero();
+
+ // Field Date
+ final FieldAbsoluteDate<DerivativeStructure> dsDate = new FieldAbsoluteDate<>(field);
+ // Field Orbit
+ final Frame frame = FramesFactory.getEME2000();
+ final FieldOrbit<DerivativeStructure> dsOrbit = new FieldKeplerianOrbit<>(a0, e0, i0, pa0, raan0, anomaly0,
+ PositionAngle.MEAN, frame,
+ dsDate, 3.9860047e14);
+ // Field State
+ final FieldSpacecraftState<DerivativeStructure> dsState = new FieldSpacecraftState<>(dsOrbit);
+
+ // Initial satellite elevation
+ final FieldVector3D<DerivativeStructure> position = dsState.getPVCoordinates().getPosition();
+ final DerivativeStructure dsElevation = baseFrame.getElevation(position, frame, dsDate);
+
+ // Set drivers reference date
+ for (final ParameterDriver driver : model.getParametersDrivers()) {
+ driver.setReferenceDate(dsDate.toAbsoluteDate());
+ }
+
+ // Compute Delay with state derivatives
+ final DerivativeStructure delay = model.pathDelay(dsElevation, zero, model.getParameters(field), dsDate);
+
+ final double[] compDeriv = delay.getAllDerivatives();
+
+ // Field -> non-field
+ final Orbit orbit = dsOrbit.toOrbit();
+ final SpacecraftState state = dsState.toSpacecraftState();
+
+ // Finite differences for reference values
+ final double[][] refDeriv = new double[1][6];
+ final OrbitType orbitType = OrbitType.KEPLERIAN;
+ final PositionAngle angleType = PositionAngle.MEAN;
+ double dP = 0.001;
+ double[] steps = NumericalPropagator.tolerances(1000000 * dP, orbit, orbitType)[0];
+ for (int i = 0; i < 6; i++) {
+ SpacecraftState stateM4 = shiftState(state, orbitType, angleType, -4 * steps[i], i);
+ final Vector3D positionM4 = stateM4.getPVCoordinates().getPosition();
+ final double elevationM4 = station.getBaseFrame().getElevation(positionM4, stateM4.getFrame(), stateM4.getDate());
+ double delayM4 = model.pathDelay(elevationM4, height, model.getParameters(), stateM4.getDate());
+
+ SpacecraftState stateM3 = shiftState(state, orbitType, angleType, -3 * steps[i], i);
+ final Vector3D positionM3 = stateM3.getPVCoordinates().getPosition();
+ final double elevationM3 = station.getBaseFrame().getElevation(positionM3, stateM3.getFrame(), stateM3.getDate());
+ double delayM3 = model.pathDelay(elevationM3, height, model.getParameters(), stateM3.getDate());
+
+ SpacecraftState stateM2 = shiftState(state, orbitType, angleType, -2 * steps[i], i);
+ final Vector3D positionM2 = stateM2.getPVCoordinates().getPosition();
+ final double elevationM2 = station.getBaseFrame().getElevation(positionM2, stateM2.getFrame(), stateM2.getDate());
+ double delayM2 = model.pathDelay(elevationM2, height, model.getParameters(), stateM2.getDate());
+
+ SpacecraftState stateM1 = shiftState(state, orbitType, angleType, -1 * steps[i], i);
+ final Vector3D positionM1 = stateM1.getPVCoordinates().getPosition();
+ final double elevationM1 = station.getBaseFrame().getElevation(positionM1, stateM1.getFrame(), stateM1.getDate());
+ double delayM1 = model.pathDelay(elevationM1, height, model.getParameters(), stateM1.getDate());
+
+ SpacecraftState stateP1 = shiftState(state, orbitType, angleType, 1 * steps[i], i);
+ final Vector3D positionP1 = stateP1.getPVCoordinates().getPosition();
+ final double elevationP1 = station.getBaseFrame().getElevation(positionP1, stateP1.getFrame(), stateP1.getDate());
+ double delayP1 = model.pathDelay(elevationP1, height, model.getParameters(), stateP1.getDate());
+
+ SpacecraftState stateP2 = shiftState(state, orbitType, angleType, 2 * steps[i], i);
+ final Vector3D positionP2 = stateP2.getPVCoordinates().getPosition();
+ final double elevationP2 = station.getBaseFrame().getElevation(positionP2, stateP2.getFrame(), stateP2.getDate());
+ double delayP2 = model.pathDelay(elevationP2, height, model.getParameters(), stateP2.getDate());
+
+ SpacecraftState stateP3 = shiftState(state, orbitType, angleType, 3 * steps[i], i);
+ final Vector3D positionP3 = stateP3.getPVCoordinates().getPosition();
+ final double elevationP3 = station.getBaseFrame().getElevation(positionP3, stateP3.getFrame(), stateP3.getDate());
+ double delayP3 = model.pathDelay(elevationP3, height, model.getParameters(), stateP3.getDate());
+
+ SpacecraftState stateP4 = shiftState(state, orbitType, angleType, 4 * steps[i], i);
+ final Vector3D positionP4 = stateP4.getPVCoordinates().getPosition();
+ final double elevationP4 = station.getBaseFrame().getElevation(positionP4, stateP4.getFrame(), stateP4.getDate());
+ double delayP4 = model.pathDelay(elevationP4, height, model.getParameters(), stateP4.getDate());
+
+ fillJacobianColumn(refDeriv, i, orbitType, angleType, steps[i],
+ delayM4, delayM3, delayM2, delayM1,
+ delayP1, delayP2, delayP3, delayP4);
+ }
+
+ for (int i = 0; i < 6; i++) {
+ Assert.assertEquals(compDeriv[i + 1], refDeriv[0][i], tolerance);
+ }
+ }
+
+ @Test
+ public void testDelayParameterDerivative() {
+ doTestParametersDerivatives(EstimatedTroposphericModel.TOTAL_ZENITH_DELAY, 5.0e-15);
+ }
+
+ private void doTestParametersDerivatives(String parameterName, double tolerance) {
+
+ // Geodetic point
+ final double latitude = FastMath.toRadians(45.0);
+ final double longitude = FastMath.toRadians(45.0);
+ final double height = 0.0;
+ final GeodeticPoint point = new GeodeticPoint(latitude, longitude, height);
+ // Body: earth
+ final OneAxisEllipsoid earth = new OneAxisEllipsoid(Constants.WGS84_EARTH_EQUATORIAL_RADIUS,
+ Constants.WGS84_EARTH_FLATTENING,
+ FramesFactory.getITRF(IERSConventions.IERS_2010, true));
+ // Topocentric frame
+ final TopocentricFrame baseFrame = new TopocentricFrame(earth, point, "topo");
+
+ // Tropospheric model
+ final MappingFunction gmf = new GlobalMappingFunctionModel(latitude, longitude);
+ final DiscreteTroposphericModel model = new EstimatedTroposphericModel(gmf, 5.0);
+
+ // Set Parameter Driver
+ for (final ParameterDriver driver : model.getParametersDrivers()) {
+ driver.setValue(driver.getReferenceValue());
+ driver.setSelected(driver.getName().equals(parameterName));
+ }
+
+ // Count the required number of parameters
+ int nbParams = 0;
+ for (final ParameterDriver driver : model.getParametersDrivers()) {
+ if (driver.isSelected()) {
+ ++nbParams;
+ }
+ }
+
+ // Derivative Structure
+ final DSFactory factory = new DSFactory(6 + nbParams, 1);
+ final DerivativeStructure a0 = factory.variable(0, 24464560.0);
+ final DerivativeStructure e0 = factory.variable(1, 0.05);
+ final DerivativeStructure i0 = factory.variable(2, 0.122138);
+ final DerivativeStructure pa0 = factory.variable(3, 3.10686);
+ final DerivativeStructure raan0 = factory.variable(4, 1.00681);
+ final DerivativeStructure anomaly0 = factory.variable(5, 0.048363);
+ final Field<DerivativeStructure> field = a0.getField();
+ final DerivativeStructure zero = field.getZero();
+
+ // Field Date
+ final FieldAbsoluteDate<DerivativeStructure> dsDate = new FieldAbsoluteDate<>(field, 2018, 11, 19, 18, 0, 0.0,
+ TimeScalesFactory.getUTC());
+
+ // Set drivers reference date
+ for (final ParameterDriver driver : model.getParametersDrivers()) {
+ driver.setReferenceDate(dsDate.toAbsoluteDate());
+ }
+
+ // Field Orbit
+ final Frame frame = FramesFactory.getEME2000();
+ final FieldOrbit<DerivativeStructure> dsOrbit = new FieldKeplerianOrbit<>(a0, e0, i0, pa0, raan0, anomaly0,
+ PositionAngle.MEAN, frame,
+ dsDate, 3.9860047e14);
+
+ // Field State
+ final FieldSpacecraftState<DerivativeStructure> dsState = new FieldSpacecraftState<>(dsOrbit);
+
+ // Initial satellite elevation
+ final FieldVector3D<DerivativeStructure> position = dsState.getPVCoordinates().getPosition();
+ final DerivativeStructure dsElevation = baseFrame.getElevation(position, frame, dsState.getDate());
+
+ // Add parameter as a variable
+ final List<ParameterDriver> drivers = model.getParametersDrivers();
+ final DerivativeStructure[] parameters = new DerivativeStructure[drivers.size()];
+ int index = 6;
+ for (int i = 0; i < drivers.size(); ++i) {
+ parameters[i] = drivers.get(i).isSelected() ?
+ factory.variable(index++, drivers.get(i).getValue()) :
+ factory.constant(drivers.get(i).getValue());
+ }
+
+ // Compute delay state derivatives
+ final DerivativeStructure delay = model.pathDelay(dsElevation, zero, parameters, dsState.getDate());
+
+ final double[] compDeriv = delay.getAllDerivatives();
+
+ // Field -> non-field
+ final SpacecraftState state = dsState.toSpacecraftState();
+ final double elevation = dsElevation.getReal();
+
+ // Finite differences for reference values
+ final double[][] refDeriv = new double[1][1];
+ ParameterDriversList bound = new ParameterDriversList();
+ for (final ParameterDriver driver : model.getParametersDrivers()) {
+ if (driver.getName().equals(parameterName)) {
+ driver.setSelected(true);
+ bound.add(driver);
+ } else {
+ driver.setSelected(false);
+ }
+ }
+ ParameterDriver selected = bound.getDrivers().get(0);
+ double p0 = selected.getReferenceValue();
+ double h = selected.getScale();
+
+ final OrbitType orbitType = OrbitType.KEPLERIAN;
+ final PositionAngle angleType = PositionAngle.MEAN;
+
+ selected.setValue(p0 - 4 * h);
+ double delayM4 = model.pathDelay(elevation, height, model.getParameters(), state.getDate());
+
+ selected.setValue(p0 - 3 * h);
+ double delayM3 = model.pathDelay(elevation, height, model.getParameters(), state.getDate());
+
+ selected.setValue(p0 - 2 * h);
+ double delayM2 = model.pathDelay(elevation, height, model.getParameters(), state.getDate());
+
+ selected.setValue(p0 - 1 * h);
+ double delayM1 = model.pathDelay(elevation, height, model.getParameters(), state.getDate());
+
+ selected.setValue(p0 + 1 * h);
+ double delayP1 = model.pathDelay(elevation, height, model.getParameters(), state.getDate());
+
+ selected.setValue(p0 + 2 * h);
+ double delayP2 = model.pathDelay(elevation, height, model.getParameters(), state.getDate());
+
+ selected.setValue(p0 + 3 * h);
+ double delayP3 = model.pathDelay(elevation, height, model.getParameters(), state.getDate());
+
+ selected.setValue(p0 + 4 * h);
+ double delayP4 = model.pathDelay(elevation, height, model.getParameters(), state.getDate());
+
+ fillJacobianColumn(refDeriv, 0, orbitType, angleType, h,
+ delayM4, delayM3, delayM2, delayM1,
+ delayP1, delayP2, delayP3, delayP4);
+
+ Assert.assertEquals(compDeriv[7], refDeriv[0][0], tolerance);
+
+ }
+
+ private SpacecraftState shiftState(SpacecraftState state, OrbitType orbitType, PositionAngle angleType,
+ double delta, int column) {
+
+ double[][] array = stateToArray(state, orbitType, angleType, true);
+ array[0][column] += delta;
+
+ return arrayToState(array, orbitType, angleType, state.getFrame(), state.getDate(),
+ state.getMu(), state.getAttitude());
+
+ }
+
+ private double[][] stateToArray(SpacecraftState state, OrbitType orbitType, PositionAngle angleType,
+ boolean withMass) {
+ double[][] array = new double[2][withMass ? 7 : 6];
+ orbitType.mapOrbitToArray(state.getOrbit(), angleType, array[0], array[1]);
+ if (withMass) {
+ array[0][6] = state.getMass();
+ }
+ return array;
+ }
+
+ private SpacecraftState arrayToState(double[][] array, OrbitType orbitType, PositionAngle angleType,
+ Frame frame, AbsoluteDate date, double mu,
+ Attitude attitude) {
+ Orbit orbit = orbitType.mapArrayToOrbit(array[0], array[1], angleType, date, mu, frame);
+ return (array.length > 6) ?
+ new SpacecraftState(orbit, attitude) :
+ new SpacecraftState(orbit, attitude, array[0][6]);
+ }
+
+ private void fillJacobianColumn(double[][] jacobian, int column,
+ OrbitType orbitType, PositionAngle angleType, double h,
+ double sM4h, double sM3h,
+ double sM2h, double sM1h,
+ double sP1h, double sP2h,
+ double sP3h, double sP4h) {
+
+ jacobian[0][column] = ( -3 * (sP4h - sM4h) +
+ 32 * (sP3h - sM3h) -
+ 168 * (sP2h - sM2h) +
+ 672 * (sP1h - sM1h)) / (840 * h);
+ }
+
+}
diff --git a/src/test/java/org/orekit/models/earth/FieldGlobalMappingFunctionModelTest.java b/src/test/java/org/orekit/models/earth/FieldGlobalMappingFunctionModelTest.java
new file mode 100644
index 0000000000000000000000000000000000000000..4974f44b7d20b4adbdbf762cd773cd9570b76992
--- /dev/null
+++ b/src/test/java/org/orekit/models/earth/FieldGlobalMappingFunctionModelTest.java
@@ -0,0 +1,286 @@
+/* Copyright 2002-2019 CS Systèmes d'Information
+ * Licensed to CS Systèmes d'Information (CS) under one or more
+ * contributor license agreements. See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * CS licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License. You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.orekit.models.earth;
+
+import org.hipparchus.Field;
+import org.hipparchus.RealFieldElement;
+import org.hipparchus.analysis.differentiation.DSFactory;
+import org.hipparchus.analysis.differentiation.DerivativeStructure;
+import org.hipparchus.geometry.euclidean.threed.FieldVector3D;
+import org.hipparchus.geometry.euclidean.threed.Vector3D;
+import org.hipparchus.util.Decimal64Field;
+import org.hipparchus.util.FastMath;
+import org.hipparchus.util.MathArrays;
+import org.hipparchus.util.Precision;
+import org.junit.Assert;
+import org.junit.Before;
+import org.junit.BeforeClass;
+import org.junit.Test;
+import org.orekit.Utils;
+import org.orekit.attitudes.Attitude;
+import org.orekit.bodies.GeodeticPoint;
+import org.orekit.bodies.OneAxisEllipsoid;
+import org.orekit.errors.OrekitException;
+import org.orekit.estimation.measurements.GroundStation;
+import org.orekit.frames.Frame;
+import org.orekit.frames.FramesFactory;
+import org.orekit.frames.TopocentricFrame;
+import org.orekit.orbits.FieldKeplerianOrbit;
+import org.orekit.orbits.FieldOrbit;
+import org.orekit.orbits.Orbit;
+import org.orekit.orbits.OrbitType;
+import org.orekit.orbits.PositionAngle;
+import org.orekit.propagation.FieldSpacecraftState;
+import org.orekit.propagation.SpacecraftState;
+import org.orekit.propagation.numerical.NumericalPropagator;
+import org.orekit.time.AbsoluteDate;
+import org.orekit.time.FieldAbsoluteDate;
+import org.orekit.time.TimeScalesFactory;
+import org.orekit.utils.Constants;
+import org.orekit.utils.IERSConventions;
+
+public class FieldGlobalMappingFunctionModelTest {
+
+ @BeforeClass
+ public static void setUpGlobal() {
+ Utils.setDataRoot("atmosphere");
+ }
+
+ @Before
+ public void setUp() throws OrekitException {
+ Utils.setDataRoot("regular-data:potential/shm-format");
+ }
+
+ @Test
+ public void testMappingFactors() {
+ doTestMappingFactors(Decimal64Field.getInstance());
+ }
+
+ private <T extends RealFieldElement<T>> void doTestMappingFactors(final Field<T> field) {
+ final T zero = field.getZero();
+ // Site (NRAO, Green Bank, WV): latitude: 0.6708665767 radians
+ // longitude: -1.393397187 radians
+ // height: 844.715 m
+ //
+ // Date: MJD 55055 -> 12 August 2009 at 0h UT
+ //
+ // Ref: Petit, G. and Luzum, B. (eds.), IERS Conventions (2010),
+ // IERS Technical Note No. 36, BKG (2010)
+ //
+ // Expected mapping factors : hydrostatic -> 3.425246 (Ref)
+ // wet -> 3.449589 (Ref)
+
+ final FieldAbsoluteDate<T> date = FieldAbsoluteDate.createMJDDate(55055, zero, TimeScalesFactory.getUTC());
+
+ final double latitude = 0.6708665767;
+ final double longitude = -1.393397187;
+ final double height = 844.715;
+
+ final double elevation = 0.5 * FastMath.PI - 1.278564131;
+ final double expectedHydro = 3.425246;
+ final double expectedWet = 3.449589;
+
+ final MappingFunction model = new GlobalMappingFunctionModel(latitude, longitude);
+
+ final T[] computedMapping = model.mappingFactors(zero.add(elevation), zero.add(height), model.getParameters(field), date);
+
+ Assert.assertEquals(expectedHydro, computedMapping[0].getReal(), 1.0e-6);
+ Assert.assertEquals(expectedWet, computedMapping[1].getReal(), 1.0e-6);
+ }
+
+ @Test
+ public void testFixedHeight() {
+ doTestFixedHeight(Decimal64Field.getInstance());
+ }
+
+ private <T extends RealFieldElement<T>> void doTestFixedHeight(final Field<T> field) {
+ final T zero = field.getZero();
+ final FieldAbsoluteDate<T> date = new FieldAbsoluteDate<>(field);
+ MappingFunction model = new GlobalMappingFunctionModel(FastMath.toRadians(45.0), FastMath.toRadians(45.0));
+ final T[] lastFactors = MathArrays.buildArray(field, 2);
+ lastFactors[0] = zero.add(Double.MAX_VALUE);
+ lastFactors[1] = zero.add(Double.MAX_VALUE);
+
+ // mapping functions shall decline with increasing elevation angle
+ for (double elev = 10d; elev < 90d; elev += 8d) {
+ final T[] factors = model.mappingFactors(zero.add(FastMath.toRadians(elev)), zero.add(350), model.getParameters(field), date);
+ Assert.assertTrue(Precision.compareTo(factors[0].getReal(), lastFactors[0].getReal(), 1.0e-6) < 0);
+ Assert.assertTrue(Precision.compareTo(factors[1].getReal(), lastFactors[1].getReal(), 1.0e-6) < 0);
+ lastFactors[0] = factors[0];
+ lastFactors[1] = factors[1];
+ }
+ }
+
+ @Test
+ public void testMFStateDerivatives() {
+
+ // Geodetic point
+ final double latitude = FastMath.toRadians(45.0);
+ final double longitude = FastMath.toRadians(45.0);
+ final double height = 0.0;
+ final GeodeticPoint point = new GeodeticPoint(latitude, longitude, height);
+ // Body: earth
+ final OneAxisEllipsoid earth = new OneAxisEllipsoid(Constants.WGS84_EARTH_EQUATORIAL_RADIUS,
+ Constants.WGS84_EARTH_FLATTENING,
+ FramesFactory.getITRF(IERSConventions.IERS_2010, true));
+ // Topocentric frame
+ final TopocentricFrame baseFrame = new TopocentricFrame(earth, point, "topo");
+
+ // Station
+ final GroundStation station = new GroundStation(baseFrame);
+
+ // Mapping Function model
+ final MappingFunction model = new GlobalMappingFunctionModel(latitude, longitude);
+
+ // Derivative Structure
+ final DSFactory factory = new DSFactory(6, 1);
+ final DerivativeStructure a0 = factory.variable(0, 24464560.0);
+ final DerivativeStructure e0 = factory.variable(1, 0.05);
+ final DerivativeStructure i0 = factory.variable(2, 0.122138);
+ final DerivativeStructure pa0 = factory.variable(3, 3.10686);
+ final DerivativeStructure raan0 = factory.variable(4, 1.00681);
+ final DerivativeStructure anomaly0 = factory.variable(5, 0.048363);
+ final Field<DerivativeStructure> field = a0.getField();
+ final DerivativeStructure zero = field.getZero();
+
+ // Field Date
+ final FieldAbsoluteDate<DerivativeStructure> dsDate = new FieldAbsoluteDate<>(field);
+ // Field Orbit
+ final Frame frame = FramesFactory.getEME2000();
+ final FieldOrbit<DerivativeStructure> dsOrbit = new FieldKeplerianOrbit<>(a0, e0, i0, pa0, raan0, anomaly0,
+ PositionAngle.MEAN, frame,
+ dsDate, 3.9860047e14);
+ // Field State
+ final FieldSpacecraftState<DerivativeStructure> dsState = new FieldSpacecraftState<>(dsOrbit);
+
+ // Initial satellite elevation
+ final FieldVector3D<DerivativeStructure> position = dsState.getPVCoordinates().getPosition();
+ final DerivativeStructure dsElevation = baseFrame.getElevation(position, frame, dsDate);
+
+ // Compute mapping factors state derivatives
+ final DerivativeStructure[] factors = model.mappingFactors(dsElevation, zero, model.getParameters(field), dsDate);
+
+ final double[] compMFH = factors[0].getAllDerivatives();
+ final double[] compMFW = factors[1].getAllDerivatives();
+
+ // Field -> non-field
+ final Orbit orbit = dsOrbit.toOrbit();
+ final SpacecraftState state = dsState.toSpacecraftState();
+
+ // Finite differences for reference values
+ final double[][] refMF = new double[2][6];
+ final OrbitType orbitType = OrbitType.KEPLERIAN;
+ final PositionAngle angleType = PositionAngle.MEAN;
+ double dP = 0.001;
+ double[] steps = NumericalPropagator.tolerances(1000000 * dP, orbit, orbitType)[0];
+ for (int i = 0; i < 6; i++) {
+ SpacecraftState stateM4 = shiftState(state, orbitType, angleType, -4 * steps[i], i);
+ final Vector3D positionM4 = stateM4.getPVCoordinates().getPosition();
+ final double elevationM4 = station.getBaseFrame().getElevation(positionM4, stateM4.getFrame(), stateM4.getDate());
+ double[] delayM4 = model.mappingFactors(elevationM4, height, model.getParameters(), stateM4.getDate());
+
+ SpacecraftState stateM3 = shiftState(state, orbitType, angleType, -3 * steps[i], i);
+ final Vector3D positionM3 = stateM3.getPVCoordinates().getPosition();
+ final double elevationM3 = station.getBaseFrame().getElevation(positionM3, stateM3.getFrame(), stateM3.getDate());
+ double[] delayM3 = model.mappingFactors(elevationM3, height, model.getParameters(), stateM3.getDate());
+
+ SpacecraftState stateM2 = shiftState(state, orbitType, angleType, -2 * steps[i], i);
+ final Vector3D positionM2 = stateM2.getPVCoordinates().getPosition();
+ final double elevationM2 = station.getBaseFrame().getElevation(positionM2, stateM2.getFrame(), stateM2.getDate());
+ double[] delayM2 = model.mappingFactors(elevationM2, height, model.getParameters(), stateM2.getDate());
+
+ SpacecraftState stateM1 = shiftState(state, orbitType, angleType, -1 * steps[i], i);
+ final Vector3D positionM1 = stateM1.getPVCoordinates().getPosition();
+ final double elevationM1 = station.getBaseFrame().getElevation(positionM1, stateM1.getFrame(), stateM1.getDate());
+ double[] delayM1 = model.mappingFactors(elevationM1, height, model.getParameters(), stateM1.getDate());
+
+ SpacecraftState stateP1 = shiftState(state, orbitType, angleType, 1 * steps[i], i);
+ final Vector3D positionP1 = stateP1.getPVCoordinates().getPosition();
+ final double elevationP1 = station.getBaseFrame().getElevation(positionP1, stateP1.getFrame(), stateP1.getDate());
+ double[] delayP1 = model.mappingFactors(elevationP1, height, model.getParameters(), stateP1.getDate());
+
+ SpacecraftState stateP2 = shiftState(state, orbitType, angleType, 2 * steps[i], i);
+ final Vector3D positionP2 = stateP2.getPVCoordinates().getPosition();
+ final double elevationP2 = station.getBaseFrame().getElevation(positionP2, stateP2.getFrame(), stateP2.getDate());
+ double[] delayP2 = model.mappingFactors(elevationP2, height, model.getParameters(), stateP2.getDate());
+
+ SpacecraftState stateP3 = shiftState(state, orbitType, angleType, 3 * steps[i], i);
+ final Vector3D positionP3 = stateP3.getPVCoordinates().getPosition();
+ final double elevationP3 = station.getBaseFrame().getElevation(positionP3, stateP3.getFrame(), stateP3.getDate());
+ double[] delayP3 = model.mappingFactors(elevationP3, height, model.getParameters(), stateP3.getDate());
+
+ SpacecraftState stateP4 = shiftState(state, orbitType, angleType, 4 * steps[i], i);
+ final Vector3D positionP4 = stateP4.getPVCoordinates().getPosition();
+ final double elevationP4 = station.getBaseFrame().getElevation(positionP4, stateP4.getFrame(), stateP4.getDate());
+ double[] delayP4 = model.mappingFactors(elevationP4, height, model.getParameters(), stateP4.getDate());
+
+ fillJacobianColumn(refMF, i, orbitType, angleType, steps[i],
+ delayM4, delayM3, delayM2, delayM1,
+ delayP1, delayP2, delayP3, delayP4);
+ }
+
+ for (int i = 0; i < 6; i++) {
+ Assert.assertEquals(compMFH[i + 1], refMF[0][i], 2.1e-11);
+ Assert.assertEquals(compMFW[i + 1], refMF[1][i], 1.7e-11);
+ }
+ }
+
+ private void fillJacobianColumn(double[][] jacobian, int column,
+ OrbitType orbitType, PositionAngle angleType, double h,
+ double[] sM4h, double[] sM3h,
+ double[] sM2h, double[] sM1h,
+ double[] sP1h, double[] sP2h,
+ double[] sP3h, double[] sP4h) {
+ for (int i = 0; i < jacobian.length; ++i) {
+ jacobian[i][column] = ( -3 * (sP4h[i] - sM4h[i]) +
+ 32 * (sP3h[i] - sM3h[i]) -
+ 168 * (sP2h[i] - sM2h[i]) +
+ 672 * (sP1h[i] - sM1h[i])) / (840 * h);
+ }
+ }
+
+ private SpacecraftState shiftState(SpacecraftState state, OrbitType orbitType, PositionAngle angleType,
+ double delta, int column) {
+
+ double[][] array = stateToArray(state, orbitType, angleType, true);
+ array[0][column] += delta;
+
+ return arrayToState(array, orbitType, angleType, state.getFrame(), state.getDate(),
+ state.getMu(), state.getAttitude());
+
+ }
+
+ private double[][] stateToArray(SpacecraftState state, OrbitType orbitType, PositionAngle angleType,
+ boolean withMass) {
+ double[][] array = new double[2][withMass ? 7 : 6];
+ orbitType.mapOrbitToArray(state.getOrbit(), angleType, array[0], array[1]);
+ if (withMass) {
+ array[0][6] = state.getMass();
+ }
+ return array;
+ }
+
+ private SpacecraftState arrayToState(double[][] array, OrbitType orbitType, PositionAngle angleType,
+ Frame frame, AbsoluteDate date, double mu,
+ Attitude attitude) {
+ Orbit orbit = orbitType.mapArrayToOrbit(array[0], array[1], angleType, date, mu, frame);
+ return (array.length > 6) ?
+ new SpacecraftState(orbit, attitude) :
+ new SpacecraftState(orbit, attitude, array[0][6]);
+ }
+
+}
diff --git a/src/test/java/org/orekit/models/earth/FieldMendesPavlisModelTest.java b/src/test/java/org/orekit/models/earth/FieldMendesPavlisModelTest.java
new file mode 100644
index 0000000000000000000000000000000000000000..4b77e567cc24d3b2659cde0953af9fab5336ec96
--- /dev/null
+++ b/src/test/java/org/orekit/models/earth/FieldMendesPavlisModelTest.java
@@ -0,0 +1,350 @@
+/* Copyright 2002-2019 CS Systèmes d'Information
+ * Licensed to CS Systèmes d'Information (CS) under one or more
+ * contributor license agreements. See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * CS licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License. You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.orekit.models.earth;
+
+import org.hipparchus.Field;
+import org.hipparchus.RealFieldElement;
+import org.hipparchus.analysis.differentiation.DSFactory;
+import org.hipparchus.analysis.differentiation.DerivativeStructure;
+import org.hipparchus.geometry.euclidean.threed.FieldVector3D;
+import org.hipparchus.geometry.euclidean.threed.Vector3D;
+import org.hipparchus.util.Decimal64Field;
+import org.hipparchus.util.FastMath;
+import org.hipparchus.util.Precision;
+import org.junit.Assert;
+import org.junit.Before;
+import org.junit.BeforeClass;
+import org.junit.Test;
+import org.orekit.Utils;
+import org.orekit.attitudes.Attitude;
+import org.orekit.bodies.GeodeticPoint;
+import org.orekit.bodies.OneAxisEllipsoid;
+import org.orekit.errors.OrekitException;
+import org.orekit.estimation.measurements.GroundStation;
+import org.orekit.frames.Frame;
+import org.orekit.frames.FramesFactory;
+import org.orekit.frames.TopocentricFrame;
+import org.orekit.orbits.FieldKeplerianOrbit;
+import org.orekit.orbits.FieldOrbit;
+import org.orekit.orbits.Orbit;
+import org.orekit.orbits.OrbitType;
+import org.orekit.orbits.PositionAngle;
+import org.orekit.propagation.FieldSpacecraftState;
+import org.orekit.propagation.SpacecraftState;
+import org.orekit.propagation.numerical.NumericalPropagator;
+import org.orekit.time.AbsoluteDate;
+import org.orekit.time.FieldAbsoluteDate;
+import org.orekit.time.TimeScalesFactory;
+import org.orekit.utils.Constants;
+import org.orekit.utils.IERSConventions;
+
+public class FieldMendesPavlisModelTest {
+
+ private static double epsilon = 1e-6;
+
+ @BeforeClass
+ public static void setUpGlobal() {
+ Utils.setDataRoot("atmosphere");
+ }
+
+ @Before
+ public void setUp() throws OrekitException {
+ Utils.setDataRoot("regular-data:potential/shm-format");
+ }
+
+ @Test
+ public void testZenithDelay() {
+ doTestZenithDelay(Decimal64Field.getInstance());
+ }
+
+ private <T extends RealFieldElement<T>> void doTestZenithDelay(final Field<T> field) {
+ final T zero = field.getZero();
+ // Site: McDonald Observatory
+ // latitude: 30.67166667 °
+ // height: 2010.344 m
+ //
+ // Meteo: pressure: 798.4188 hPa
+ // water vapor presure: 14.322 hPa
+ // temperature: 300.15 K
+ // humidity: 40 %
+ //
+ // Ref: Petit, G. and Luzum, B. (eds.), IERS Conventions (2010),
+ // IERS Technical Note No. 36, BKG (2010)
+
+ final double latitude = FastMath.toRadians(30.67166667);
+ final double height = 2010.344;
+ final double pressure = 798.4188;
+ final double temperature = 300.15;
+ final double humidity = 0.4;
+ final double lambda = 0.532;
+
+ // Expected zenith hydrostatic delay: 1.932992 m (Ref)
+ final double expectedHydroDelay = 1.932992;
+ // Expected zenith wet delay: 0.223375*10-2 m (Ref)
+ final double expectedWetDelay = 0.223375e-2;
+ // Expected total zenith delay: 1.935226 m (Ref)
+ final double expectedDelay = 1.935226;
+
+ final double precision = 4.0e-6;
+
+ final FieldAbsoluteDate<T> date = new FieldAbsoluteDate<>(field, 2009, 8, 12, TimeScalesFactory.getUTC());
+
+ final MendesPavlisModel model = new MendesPavlisModel(temperature, pressure,
+ humidity, latitude, lambda);
+
+ final T[] computedDelay = model.computeZenithDelay(zero.add(height), model.getParameters(field), date);
+
+ Assert.assertEquals(expectedHydroDelay, computedDelay[0].getReal(), precision);
+ Assert.assertEquals(expectedWetDelay, computedDelay[1].getReal(), precision);
+ Assert.assertEquals(expectedDelay, computedDelay[0].getReal() + computedDelay[1].getReal(), precision);
+
+ }
+
+ @Test
+ public void testMappingFactors() {
+ doTestMappingFactors(Decimal64Field.getInstance());
+ }
+
+ private <T extends RealFieldElement<T>> void doTestMappingFactors(final Field<T> field) {
+ final T zero = field.getZero();
+
+ // Site: McDonald Observatory
+ // latitude: 30.67166667 °
+ // height: 2075 m
+ //
+ // Meteo: pressure: 798.4188 hPa
+ // water vapor presure: 14.322 hPa
+ // temperature: 300.15 K
+ // humidity: 40 %
+ //
+ // Ref: Petit, G. and Luzum, B. (eds.), IERS Conventions (2010),
+ // IERS Technical Note No. 36, BKG (2010)
+
+ final FieldAbsoluteDate<T> date = new FieldAbsoluteDate<>(field, 2009, 8, 12, TimeScalesFactory.getUTC());
+
+ final double latitude = FastMath.toRadians(30.67166667);
+ final double height = 2075;
+ final double pressure = 798.4188;
+ final double temperature = 300.15;
+ final double humidity = 0.4;
+ final double lambda = 0.532;
+
+ final double elevation = FastMath.toRadians(15.0);
+ // Expected mapping factor: 3.80024367 (Ref)
+ final double expectedMapping = 3.80024367;
+
+ // Test for the second constructor
+ final MendesPavlisModel model = new MendesPavlisModel(temperature, pressure,
+ humidity, latitude, lambda);
+
+ final T[] computedMapping = model.mappingFactors(zero.add(elevation), zero.add(height), model.getParameters(field), date);
+
+ Assert.assertEquals(expectedMapping, computedMapping[0].getReal(), 5.0e-8);
+ Assert.assertEquals(expectedMapping, computedMapping[1].getReal(), 5.0e-8);
+ }
+
+ @Test
+ public void testDelay() {
+ doTestDelay(Decimal64Field.getInstance());
+ }
+
+ private <T extends RealFieldElement<T>> void doTestDelay(final Field<T> field) {
+ final T zero = field.getZero();
+ final double elevation = 10d;
+ final double height = 100d;
+ final FieldAbsoluteDate<T> date = new FieldAbsoluteDate<>(field);
+ MendesPavlisModel model = MendesPavlisModel.getStandardModel(FastMath.toRadians(45.0), 0.6943);
+ final T path = model.pathDelay(zero.add(FastMath.toRadians(elevation)), zero.add(height), model.getParameters(field), date);
+ Assert.assertTrue(Precision.compareTo(path.getReal(), 20d, epsilon) < 0);
+ Assert.assertTrue(Precision.compareTo(path.getReal(), 0d, epsilon) > 0);
+ }
+
+ @Test
+ public void testFixedHeight() {
+ doTestFixedHeight(Decimal64Field.getInstance());
+ }
+
+ private <T extends RealFieldElement<T>> void doTestFixedHeight(final Field<T> field) {
+ final T zero = field.getZero();
+ final FieldAbsoluteDate<T> date = new FieldAbsoluteDate<>(field);
+ MendesPavlisModel model = MendesPavlisModel.getStandardModel(FastMath.toRadians(45.0), 0.6943);
+ T lastDelay = zero.add(Double.MAX_VALUE);
+ // delay shall decline with increasing elevation angle
+ for (double elev = 10d; elev < 90d; elev += 8d) {
+ final T delay = model.pathDelay(zero.add(FastMath.toRadians(elev)), zero.add(350), model.getParameters(field), date);
+ Assert.assertTrue(Precision.compareTo(delay.getReal(), lastDelay.getReal(), epsilon) < 0);
+ lastDelay = delay;
+ }
+ }
+
+ @Test
+ public void testDelayStateDerivatives() {
+
+ // Geodetic point
+ final double latitude = FastMath.toRadians(45.0);
+ final double longitude = FastMath.toRadians(45.0);
+ final double height = 0.0;
+ final GeodeticPoint point = new GeodeticPoint(latitude, longitude, height);
+ // Body: earth
+ final OneAxisEllipsoid earth = new OneAxisEllipsoid(Constants.WGS84_EARTH_EQUATORIAL_RADIUS,
+ Constants.WGS84_EARTH_FLATTENING,
+ FramesFactory.getITRF(IERSConventions.IERS_2010, true));
+ // Topocentric frame
+ final TopocentricFrame baseFrame = new TopocentricFrame(earth, point, "topo");
+
+ // Station
+ final GroundStation station = new GroundStation(baseFrame);
+
+ // Tropospheric model
+ final MendesPavlisModel model = MendesPavlisModel.getStandardModel(latitude, 0.65);
+
+ // Derivative Structure
+ final DSFactory factory = new DSFactory(6, 1);
+ final DerivativeStructure a0 = factory.variable(0, 24464560.0);
+ final DerivativeStructure e0 = factory.variable(1, 0.05);
+ final DerivativeStructure i0 = factory.variable(2, 0.122138);
+ final DerivativeStructure pa0 = factory.variable(3, 3.10686);
+ final DerivativeStructure raan0 = factory.variable(4, 1.00681);
+ final DerivativeStructure anomaly0 = factory.variable(5, 0.048363);
+ final Field<DerivativeStructure> field = a0.getField();
+ final DerivativeStructure zero = field.getZero();
+
+ // Field Date
+ final FieldAbsoluteDate<DerivativeStructure> dsDate = new FieldAbsoluteDate<>(field);
+ // Field Orbit
+ final Frame frame = FramesFactory.getEME2000();
+ final FieldOrbit<DerivativeStructure> dsOrbit = new FieldKeplerianOrbit<>(a0, e0, i0, pa0, raan0, anomaly0,
+ PositionAngle.MEAN, frame,
+ dsDate, 3.9860047e14);
+ // Field State
+ final FieldSpacecraftState<DerivativeStructure> dsState = new FieldSpacecraftState<>(dsOrbit);
+
+ // Initial satellite elevation
+ final FieldVector3D<DerivativeStructure> position = dsState.getPVCoordinates().getPosition();
+ final DerivativeStructure dsElevation = baseFrame.getElevation(position, frame, dsDate);
+
+ // Compute Delay with state derivatives
+ final DerivativeStructure delay = model.pathDelay(dsElevation, zero, model.getParameters(field), dsDate);
+
+ final double[] compDeriv = delay.getAllDerivatives();
+
+ // Field -> non-field
+ final Orbit orbit = dsOrbit.toOrbit();
+ final SpacecraftState state = dsState.toSpacecraftState();
+
+ // Finite differences for reference values
+ final double[][] refDeriv = new double[1][6];
+ final OrbitType orbitType = OrbitType.KEPLERIAN;
+ final PositionAngle angleType = PositionAngle.MEAN;
+ double dP = 0.001;
+ double[] steps = NumericalPropagator.tolerances(1000000 * dP, orbit, orbitType)[0];
+ for (int i = 0; i < 6; i++) {
+ SpacecraftState stateM4 = shiftState(state, orbitType, angleType, -4 * steps[i], i);
+ final Vector3D positionM4 = stateM4.getPVCoordinates().getPosition();
+ final double elevationM4 = station.getBaseFrame().getElevation(positionM4, stateM4.getFrame(), stateM4.getDate());
+ double delayM4 = model.pathDelay(elevationM4, height, model.getParameters(), stateM4.getDate());
+
+ SpacecraftState stateM3 = shiftState(state, orbitType, angleType, -3 * steps[i], i);
+ final Vector3D positionM3 = stateM3.getPVCoordinates().getPosition();
+ final double elevationM3 = station.getBaseFrame().getElevation(positionM3, stateM3.getFrame(), stateM3.getDate());
+ double delayM3 = model.pathDelay(elevationM3, height, model.getParameters(), stateM3.getDate());
+
+ SpacecraftState stateM2 = shiftState(state, orbitType, angleType, -2 * steps[i], i);
+ final Vector3D positionM2 = stateM2.getPVCoordinates().getPosition();
+ final double elevationM2 = station.getBaseFrame().getElevation(positionM2, stateM2.getFrame(), stateM2.getDate());
+ double delayM2 = model.pathDelay(elevationM2, height, model.getParameters(), stateM2.getDate());
+
+ SpacecraftState stateM1 = shiftState(state, orbitType, angleType, -1 * steps[i], i);
+ final Vector3D positionM1 = stateM1.getPVCoordinates().getPosition();
+ final double elevationM1 = station.getBaseFrame().getElevation(positionM1, stateM1.getFrame(), stateM1.getDate());
+ double delayM1 = model.pathDelay(elevationM1, height, model.getParameters(), stateM1.getDate());
+
+ SpacecraftState stateP1 = shiftState(state, orbitType, angleType, 1 * steps[i], i);
+ final Vector3D positionP1 = stateP1.getPVCoordinates().getPosition();
+ final double elevationP1 = station.getBaseFrame().getElevation(positionP1, stateP1.getFrame(), stateP1.getDate());
+ double delayP1 = model.pathDelay(elevationP1, height, model.getParameters(), stateP1.getDate());
+
+ SpacecraftState stateP2 = shiftState(state, orbitType, angleType, 2 * steps[i], i);
+ final Vector3D positionP2 = stateP2.getPVCoordinates().getPosition();
+ final double elevationP2 = station.getBaseFrame().getElevation(positionP2, stateP2.getFrame(), stateP2.getDate());
+ double delayP2 = model.pathDelay(elevationP2, height, model.getParameters(), stateP2.getDate());
+
+ SpacecraftState stateP3 = shiftState(state, orbitType, angleType, 3 * steps[i], i);
+ final Vector3D positionP3 = stateP3.getPVCoordinates().getPosition();
+ final double elevationP3 = station.getBaseFrame().getElevation(positionP3, stateP3.getFrame(), stateP3.getDate());
+ double delayP3 = model.pathDelay(elevationP3, height, model.getParameters(), stateP3.getDate());
+
+ SpacecraftState stateP4 = shiftState(state, orbitType, angleType, 4 * steps[i], i);
+ final Vector3D positionP4 = stateP4.getPVCoordinates().getPosition();
+ final double elevationP4 = station.getBaseFrame().getElevation(positionP4, stateP4.getFrame(), stateP4.getDate());
+ double delayP4 = model.pathDelay(elevationP4, height, model.getParameters(), stateP4.getDate());
+
+ fillJacobianColumn(refDeriv, i, orbitType, angleType, steps[i],
+ delayM4, delayM3, delayM2, delayM1,
+ delayP1, delayP2, delayP3, delayP4);
+ }
+
+ for (int i = 0; i < 6; i++) {
+ Assert.assertEquals(compDeriv[i + 1], refDeriv[0][i], 2.0e-11);
+ }
+ }
+
+ private void fillJacobianColumn(double[][] jacobian, int column,
+ OrbitType orbitType, PositionAngle angleType, double h,
+ double sM4h, double sM3h,
+ double sM2h, double sM1h,
+ double sP1h, double sP2h,
+ double sP3h, double sP4h) {
+ for (int i = 0; i < jacobian.length; ++i) {
+ jacobian[i][column] = ( -3 * (sP4h - sM4h) +
+ 32 * (sP3h - sM3h) -
+ 168 * (sP2h - sM2h) +
+ 672 * (sP1h - sM1h)) / (840 * h);
+ }
+ }
+
+ private SpacecraftState shiftState(SpacecraftState state, OrbitType orbitType, PositionAngle angleType,
+ double delta, int column) {
+
+ double[][] array = stateToArray(state, orbitType, angleType, true);
+ array[0][column] += delta;
+
+ return arrayToState(array, orbitType, angleType, state.getFrame(), state.getDate(),
+ state.getMu(), state.getAttitude());
+
+ }
+
+ private double[][] stateToArray(SpacecraftState state, OrbitType orbitType, PositionAngle angleType,
+ boolean withMass) {
+ double[][] array = new double[2][withMass ? 7 : 6];
+ orbitType.mapOrbitToArray(state.getOrbit(), angleType, array[0], array[1]);
+ if (withMass) {
+ array[0][6] = state.getMass();
+ }
+ return array;
+ }
+
+ private SpacecraftState arrayToState(double[][] array, OrbitType orbitType, PositionAngle angleType,
+ Frame frame, AbsoluteDate date, double mu,
+ Attitude attitude) {
+ Orbit orbit = orbitType.mapArrayToOrbit(array[0], array[1], angleType, date, mu, frame);
+ return (array.length > 6) ?
+ new SpacecraftState(orbit, attitude) :
+ new SpacecraftState(orbit, attitude, array[0][6]);
+ }
+
+}
diff --git a/src/test/java/org/orekit/models/earth/FieldNiellMappingFunctionModelTest.java b/src/test/java/org/orekit/models/earth/FieldNiellMappingFunctionModelTest.java
new file mode 100644
index 0000000000000000000000000000000000000000..1016b90b8a476234067eaf01f2cf19aa0f22fffe
--- /dev/null
+++ b/src/test/java/org/orekit/models/earth/FieldNiellMappingFunctionModelTest.java
@@ -0,0 +1,286 @@
+/* Copyright 2002-2019 CS Systèmes d'Information
+ * Licensed to CS Systèmes d'Information (CS) under one or more
+ * contributor license agreements. See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * CS licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License. You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.orekit.models.earth;
+
+import org.hipparchus.Field;
+import org.hipparchus.RealFieldElement;
+import org.hipparchus.analysis.differentiation.DSFactory;
+import org.hipparchus.analysis.differentiation.DerivativeStructure;
+import org.hipparchus.geometry.euclidean.threed.FieldVector3D;
+import org.hipparchus.geometry.euclidean.threed.Vector3D;
+import org.hipparchus.util.Decimal64Field;
+import org.hipparchus.util.FastMath;
+import org.hipparchus.util.MathArrays;
+import org.hipparchus.util.Precision;
+import org.junit.Assert;
+import org.junit.Before;
+import org.junit.BeforeClass;
+import org.junit.Test;
+import org.orekit.Utils;
+import org.orekit.attitudes.Attitude;
+import org.orekit.bodies.GeodeticPoint;
+import org.orekit.bodies.OneAxisEllipsoid;
+import org.orekit.errors.OrekitException;
+import org.orekit.estimation.measurements.GroundStation;
+import org.orekit.frames.Frame;
+import org.orekit.frames.FramesFactory;
+import org.orekit.frames.TopocentricFrame;
+import org.orekit.orbits.FieldKeplerianOrbit;
+import org.orekit.orbits.FieldOrbit;
+import org.orekit.orbits.Orbit;
+import org.orekit.orbits.OrbitType;
+import org.orekit.orbits.PositionAngle;
+import org.orekit.propagation.FieldSpacecraftState;
+import org.orekit.propagation.SpacecraftState;
+import org.orekit.propagation.numerical.NumericalPropagator;
+import org.orekit.time.AbsoluteDate;
+import org.orekit.time.FieldAbsoluteDate;
+import org.orekit.time.TimeScalesFactory;
+import org.orekit.utils.Constants;
+import org.orekit.utils.IERSConventions;
+
+public class FieldNiellMappingFunctionModelTest {
+
+ @BeforeClass
+ public static void setUpGlobal() {
+ Utils.setDataRoot("atmosphere");
+ }
+
+ @Before
+ public void setUp() throws OrekitException {
+ Utils.setDataRoot("regular-data:potential/shm-format");
+ }
+
+ @Test
+ public void testMappingFactors() {
+ doTestMappingFactors(Decimal64Field.getInstance());
+ }
+
+ private <T extends RealFieldElement<T>> void doTestMappingFactors(final Field<T> field) {
+
+ final T zero = field.getZero();
+
+ // Site (Le Mans, France): latitude: 48.0°
+ // longitude: 0.20°
+ // height: 68 m
+ //
+ // Date: 1st January 1994 at 0h UT
+ //
+ // Ref: Mercier F., Perosanz F., Mesures GNSS, Résolution des ambiguités.
+ //
+ // Expected mapping factors : hydrostatic -> 10.16 (Ref)
+ // wet -> 10.75 (Ref)
+
+ final FieldAbsoluteDate<T> date = new FieldAbsoluteDate<>(field, 1994, 1, 1, TimeScalesFactory.getUTC());
+
+ final double latitude = FastMath.toRadians(48.0);
+ final double height = 68.0;
+
+ final double elevation = FastMath.toRadians(5.0);
+ final double expectedHydro = 10.16;
+ final double expectedWet = 10.75;
+
+ final MappingFunction model = new NiellMappingFunctionModel(latitude);
+
+ final T[] computedMapping = model.mappingFactors(zero.add(elevation), zero.add(height), model.getParameters(field), date);
+
+ Assert.assertEquals(expectedHydro, computedMapping[0].getReal(), 1.0e-2);
+ Assert.assertEquals(expectedWet, computedMapping[1].getReal(), 1.0e-2);
+ }
+
+ @Test
+ public void testFixedHeight() {
+ doTestFixedHeight(Decimal64Field.getInstance());
+ }
+
+ private <T extends RealFieldElement<T>> void doTestFixedHeight(final Field<T> field) {
+ final T zero = field.getZero();
+ final FieldAbsoluteDate<T> date = new FieldAbsoluteDate<>(field);
+ MappingFunction model = new NiellMappingFunctionModel(FastMath.toRadians(45.0));
+ T[] lastFactors = MathArrays.buildArray(field, 2);
+ lastFactors[0] = zero.add(Double.MAX_VALUE);
+ lastFactors[1] = zero.add(Double.MAX_VALUE);
+ // mapping functions shall decline with increasing elevation angle
+ for (double elev = 10d; elev < 90d; elev += 8d) {
+ final T[] factors = model.mappingFactors(zero.add(FastMath.toRadians(elev)), zero.add(350),
+ model.getParameters(field), date);
+ Assert.assertTrue(Precision.compareTo(factors[0].getReal(), lastFactors[0].getReal(), 1.0e-6) < 0);
+ Assert.assertTrue(Precision.compareTo(factors[1].getReal(), lastFactors[1].getReal(), 1.0e-6) < 0);
+ lastFactors[0] = factors[0];
+ lastFactors[1] = factors[1];
+ }
+ }
+
+ @Test
+ public void testMFStateDerivatives() {
+
+ // Geodetic point
+ final double latitude = FastMath.toRadians(45.0);
+ final double longitude = FastMath.toRadians(45.0);
+ final double height = 0.0;
+ final GeodeticPoint point = new GeodeticPoint(latitude, longitude, height);
+ // Body: earth
+ final OneAxisEllipsoid earth = new OneAxisEllipsoid(Constants.WGS84_EARTH_EQUATORIAL_RADIUS,
+ Constants.WGS84_EARTH_FLATTENING,
+ FramesFactory.getITRF(IERSConventions.IERS_2010, true));
+ // Topocentric frame
+ final TopocentricFrame baseFrame = new TopocentricFrame(earth, point, "topo");
+
+ // Station
+ final GroundStation station = new GroundStation(baseFrame);
+
+ // Mapping Function model
+ final MappingFunction model = new NiellMappingFunctionModel(latitude);
+
+ // Derivative Structure
+ final DSFactory factory = new DSFactory(6, 1);
+ final DerivativeStructure a0 = factory.variable(0, 24464560.0);
+ final DerivativeStructure e0 = factory.variable(1, 0.05);
+ final DerivativeStructure i0 = factory.variable(2, 0.122138);
+ final DerivativeStructure pa0 = factory.variable(3, 3.10686);
+ final DerivativeStructure raan0 = factory.variable(4, 1.00681);
+ final DerivativeStructure anomaly0 = factory.variable(5, 0.048363);
+ final Field<DerivativeStructure> field = a0.getField();
+ final DerivativeStructure zero = field.getZero();
+
+ // Field Date
+ final FieldAbsoluteDate<DerivativeStructure> dsDate = new FieldAbsoluteDate<>(field);
+ // Field Orbit
+ final Frame frame = FramesFactory.getEME2000();
+ final FieldOrbit<DerivativeStructure> dsOrbit = new FieldKeplerianOrbit<>(a0, e0, i0, pa0, raan0, anomaly0,
+ PositionAngle.MEAN, frame,
+ dsDate, 3.9860047e14);
+ // Field State
+ final FieldSpacecraftState<DerivativeStructure> dsState = new FieldSpacecraftState<>(dsOrbit);
+
+ // Initial satellite elevation
+ final FieldVector3D<DerivativeStructure> position = dsState.getPVCoordinates().getPosition();
+ final DerivativeStructure dsElevation = baseFrame.getElevation(position, frame, dsDate);
+
+ // Compute mapping factors with state derivatives
+ final DerivativeStructure[] factors = model.mappingFactors(dsElevation, zero, model.getParameters(field), dsDate);
+
+ final double[] compMFH = factors[0].getAllDerivatives();
+ final double[] compMFW = factors[1].getAllDerivatives();
+
+ // Field -> non-field
+ final Orbit orbit = dsOrbit.toOrbit();
+ final SpacecraftState state = dsState.toSpacecraftState();
+
+ // Finite differences for reference values
+ final double[][] refMF = new double[2][6];
+ final OrbitType orbitType = OrbitType.KEPLERIAN;
+ final PositionAngle angleType = PositionAngle.MEAN;
+ double dP = 0.001;
+ double[] steps = NumericalPropagator.tolerances(1000000 * dP, orbit, orbitType)[0];
+ for (int i = 0; i < 6; i++) {
+ SpacecraftState stateM4 = shiftState(state, orbitType, angleType, -4 * steps[i], i);
+ final Vector3D positionM4 = stateM4.getPVCoordinates().getPosition();
+ final double elevationM4 = station.getBaseFrame().getElevation(positionM4, stateM4.getFrame(), stateM4.getDate());
+ double[] delayM4 = model.mappingFactors(elevationM4, height, model.getParameters(), stateM4.getDate());
+
+ SpacecraftState stateM3 = shiftState(state, orbitType, angleType, -3 * steps[i], i);
+ final Vector3D positionM3 = stateM3.getPVCoordinates().getPosition();
+ final double elevationM3 = station.getBaseFrame().getElevation(positionM3, stateM3.getFrame(), stateM3.getDate());
+ double[] delayM3 = model.mappingFactors(elevationM3, height, model.getParameters(), stateM3.getDate());
+
+ SpacecraftState stateM2 = shiftState(state, orbitType, angleType, -2 * steps[i], i);
+ final Vector3D positionM2 = stateM2.getPVCoordinates().getPosition();
+ final double elevationM2 = station.getBaseFrame().getElevation(positionM2, stateM2.getFrame(), stateM2.getDate());
+ double[] delayM2 = model.mappingFactors(elevationM2, height, model.getParameters(), stateM2.getDate());
+
+ SpacecraftState stateM1 = shiftState(state, orbitType, angleType, -1 * steps[i], i);
+ final Vector3D positionM1 = stateM1.getPVCoordinates().getPosition();
+ final double elevationM1 = station.getBaseFrame().getElevation(positionM1, stateM1.getFrame(), stateM1.getDate());
+ double[] delayM1 = model.mappingFactors(elevationM1, height, model.getParameters(), stateM1.getDate());
+
+ SpacecraftState stateP1 = shiftState(state, orbitType, angleType, 1 * steps[i], i);
+ final Vector3D positionP1 = stateP1.getPVCoordinates().getPosition();
+ final double elevationP1 = station.getBaseFrame().getElevation(positionP1, stateP1.getFrame(), stateP1.getDate());
+ double[] delayP1 = model.mappingFactors(elevationP1, height, model.getParameters(), stateP1.getDate());
+
+ SpacecraftState stateP2 = shiftState(state, orbitType, angleType, 2 * steps[i], i);
+ final Vector3D positionP2 = stateP2.getPVCoordinates().getPosition();
+ final double elevationP2 = station.getBaseFrame().getElevation(positionP2, stateP2.getFrame(), stateP2.getDate());
+ double[] delayP2 = model.mappingFactors(elevationP2, height, model.getParameters(), stateP2.getDate());
+
+ SpacecraftState stateP3 = shiftState(state, orbitType, angleType, 3 * steps[i], i);
+ final Vector3D positionP3 = stateP3.getPVCoordinates().getPosition();
+ final double elevationP3 = station.getBaseFrame().getElevation(positionP3, stateP3.getFrame(), stateP3.getDate());
+ double[] delayP3 = model.mappingFactors(elevationP3, height, model.getParameters(), stateP3.getDate());
+
+ SpacecraftState stateP4 = shiftState(state, orbitType, angleType, 4 * steps[i], i);
+ final Vector3D positionP4 = stateP4.getPVCoordinates().getPosition();
+ final double elevationP4 = station.getBaseFrame().getElevation(positionP4, stateP4.getFrame(), stateP4.getDate());
+ double[] delayP4 = model.mappingFactors(elevationP4, height, model.getParameters(), stateP4.getDate());
+
+ fillJacobianColumn(refMF, i, orbitType, angleType, steps[i],
+ delayM4, delayM3, delayM2, delayM1,
+ delayP1, delayP2, delayP3, delayP4);
+ }
+
+ for (int i = 0; i < 6; i++) {
+ Assert.assertEquals(compMFH[i + 1], refMF[0][i], 6.5e-12);
+ Assert.assertEquals(compMFW[i + 1], refMF[1][i], 1.6e-11);
+ }
+ }
+
+ private void fillJacobianColumn(double[][] jacobian, int column,
+ OrbitType orbitType, PositionAngle angleType, double h,
+ double[] sM4h, double[] sM3h,
+ double[] sM2h, double[] sM1h,
+ double[] sP1h, double[] sP2h,
+ double[] sP3h, double[] sP4h) {
+ for (int i = 0; i < jacobian.length; ++i) {
+ jacobian[i][column] = ( -3 * (sP4h[i] - sM4h[i]) +
+ 32 * (sP3h[i] - sM3h[i]) -
+ 168 * (sP2h[i] - sM2h[i]) +
+ 672 * (sP1h[i] - sM1h[i])) / (840 * h);
+ }
+ }
+
+ private SpacecraftState shiftState(SpacecraftState state, OrbitType orbitType, PositionAngle angleType,
+ double delta, int column) {
+
+ double[][] array = stateToArray(state, orbitType, angleType, true);
+ array[0][column] += delta;
+
+ return arrayToState(array, orbitType, angleType, state.getFrame(), state.getDate(),
+ state.getMu(), state.getAttitude());
+
+ }
+
+ private double[][] stateToArray(SpacecraftState state, OrbitType orbitType, PositionAngle angleType,
+ boolean withMass) {
+ double[][] array = new double[2][withMass ? 7 : 6];
+ orbitType.mapOrbitToArray(state.getOrbit(), angleType, array[0], array[1]);
+ if (withMass) {
+ array[0][6] = state.getMass();
+ }
+ return array;
+ }
+
+ private SpacecraftState arrayToState(double[][] array, OrbitType orbitType, PositionAngle angleType,
+ Frame frame, AbsoluteDate date, double mu,
+ Attitude attitude) {
+ Orbit orbit = orbitType.mapArrayToOrbit(array[0], array[1], angleType, date, mu, frame);
+ return (array.length > 6) ?
+ new SpacecraftState(orbit, attitude) :
+ new SpacecraftState(orbit, attitude, array[0][6]);
+ }
+
+}
diff --git a/src/test/java/org/orekit/models/earth/FieldViennaOneModelTest.java b/src/test/java/org/orekit/models/earth/FieldViennaOneModelTest.java
new file mode 100644
index 0000000000000000000000000000000000000000..5165040d2048186702a0cbb94709c1f8b75bdefb
--- /dev/null
+++ b/src/test/java/org/orekit/models/earth/FieldViennaOneModelTest.java
@@ -0,0 +1,316 @@
+/* Copyright 2002-2019 CS Systèmes d'Information
+ * Licensed to CS Systèmes d'Information (CS) under one or more
+ * contributor license agreements. See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * CS licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License. You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.orekit.models.earth;
+
+import org.hipparchus.Field;
+import org.hipparchus.RealFieldElement;
+import org.hipparchus.analysis.differentiation.DSFactory;
+import org.hipparchus.analysis.differentiation.DerivativeStructure;
+import org.hipparchus.geometry.euclidean.threed.FieldVector3D;
+import org.hipparchus.geometry.euclidean.threed.Vector3D;
+import org.hipparchus.util.Decimal64Field;
+import org.hipparchus.util.FastMath;
+import org.hipparchus.util.Precision;
+import org.junit.Assert;
+import org.junit.Before;
+import org.junit.BeforeClass;
+import org.junit.Test;
+import org.orekit.Utils;
+import org.orekit.attitudes.Attitude;
+import org.orekit.bodies.GeodeticPoint;
+import org.orekit.bodies.OneAxisEllipsoid;
+import org.orekit.errors.OrekitException;
+import org.orekit.estimation.measurements.GroundStation;
+import org.orekit.frames.Frame;
+import org.orekit.frames.FramesFactory;
+import org.orekit.frames.TopocentricFrame;
+import org.orekit.orbits.FieldKeplerianOrbit;
+import org.orekit.orbits.FieldOrbit;
+import org.orekit.orbits.Orbit;
+import org.orekit.orbits.OrbitType;
+import org.orekit.orbits.PositionAngle;
+import org.orekit.propagation.FieldSpacecraftState;
+import org.orekit.propagation.SpacecraftState;
+import org.orekit.propagation.numerical.NumericalPropagator;
+import org.orekit.time.AbsoluteDate;
+import org.orekit.time.FieldAbsoluteDate;
+import org.orekit.time.TimeScalesFactory;
+import org.orekit.utils.Constants;
+import org.orekit.utils.IERSConventions;
+
+public class FieldViennaOneModelTest {
+
+ private static double epsilon = 1e-6;
+
+ @BeforeClass
+ public static void setUpGlobal() {
+ Utils.setDataRoot("atmosphere");
+ }
+
+ @Before
+ public void setUp() throws OrekitException {
+ Utils.setDataRoot("regular-data:potential/shm-format");
+ }
+
+ @Test
+ public void testMappingFactors() {
+ doTestMappingFactors(Decimal64Field.getInstance());
+ }
+
+ private <T extends RealFieldElement<T>> void doTestMappingFactors(final Field<T> field) {
+ final T zero = field.getZero();
+ // Site (NRAO, Green Bank, WV): latitude: 38°
+ // longitude: 280°
+ // height: 824.17 m
+ //
+ // Date: MJD 55055 -> 12 August 2009 at 0h UT
+ //
+ // Ref for the inputs: Petit, G. and Luzum, B. (eds.), IERS Conventions (2010),
+ // IERS Technical Note No. 36, BKG (2010)
+ //
+ // Values: ah = 0.00127683
+ // aw = 0.00060955
+ // zhd = 2.0966 m
+ // zwd = 0.2140 m
+ //
+ // Values taken from: http://vmf.geo.tuwien.ac.at/trop_products/GRID/2.5x2/VMF1/VMF1_OP/2009/VMFG_20090812.H00
+ //
+ // Expected mapping factors : hydrostatic -> 3.425088
+ // wet -> 3.448300
+ //
+ // Expected outputs are obtained by performing the Matlab script vmf1_ht.m provided by TU WIEN:
+ // http://vmf.geo.tuwien.ac.at/codes/
+ //
+
+ final FieldAbsoluteDate<T> date = FieldAbsoluteDate.createMJDDate(55055, zero, TimeScalesFactory.getUTC());
+
+ final double latitude = FastMath.toRadians(38.0);
+ final double height = 824.17;
+
+ final double elevation = 0.5 * FastMath.PI - 1.278564131;
+ final double expectedHydro = 3.425088;
+ final double expectedWet = 3.448300;
+
+ final double[] a = { 0.00127683, 0.00060955 };
+ final double[] z = {2.0966, 0.2140};
+
+ final ViennaOneModel model = new ViennaOneModel(a, z, latitude);
+
+ final T[] computedMapping = model.mappingFactors(zero.add(elevation), zero.add(height), model.getParameters(field), date);
+
+ Assert.assertEquals(expectedHydro, computedMapping[0].getReal(), 4.1e-6);
+ Assert.assertEquals(expectedWet, computedMapping[1].getReal(), 1.0e-6);
+ }
+
+ @Test
+ public void testDelay() {
+ doTestDelay(Decimal64Field.getInstance());
+ }
+
+ private <T extends RealFieldElement<T>> void doTestDelay(final Field<T> field) {
+ final T zero = field.getZero();
+ final double elevation = 10d;
+ final double height = 100d;
+ final FieldAbsoluteDate<T> date = new FieldAbsoluteDate<>(field);
+ final double[] a = { 0.00127683, 0.00060955 };
+ final double[] z = {2.0966, 0.2140};
+ ViennaOneModel model = new ViennaOneModel(a, z, FastMath.toRadians(45.0));
+ final T path = model.pathDelay(zero.add(FastMath.toRadians(elevation)), zero.add(height), model.getParameters(field), date);
+ Assert.assertTrue(Precision.compareTo(path.getReal(), 20d, epsilon) < 0);
+ Assert.assertTrue(Precision.compareTo(path.getReal(), 0d, epsilon) > 0);
+ }
+
+ @Test
+ public void testFixedHeight() {
+ doTestFixedHeight(Decimal64Field.getInstance());
+ }
+
+ private <T extends RealFieldElement<T>> void doTestFixedHeight(final Field<T> field) {
+ final T zero = field.getZero();
+ final FieldAbsoluteDate<T> date = new FieldAbsoluteDate<>(field);
+ final double[] a = { 0.00127683, 0.00060955 };
+ final double[] z = {2.0966, 0.2140};
+ ViennaOneModel model = new ViennaOneModel(a, z, FastMath.toRadians(45.0));
+ T lastDelay = zero.add(Double.MAX_VALUE);
+ // delay shall decline with increasing elevation angle
+ for (double elev = 10d; elev < 90d; elev += 8d) {
+ final T delay = model.pathDelay(zero.add(FastMath.toRadians(elev)), zero.add(350), model.getParameters(field), date);
+ Assert.assertTrue(Precision.compareTo(delay.getReal(), lastDelay.getReal(), epsilon) < 0);
+ lastDelay = delay;
+ }
+ }
+
+ @Test
+ public void testDelayStateDerivatives() {
+
+ // Geodetic point
+ final double latitude = FastMath.toRadians(45.0);
+ final double longitude = FastMath.toRadians(45.0);
+ final double height = 0.0;
+ final GeodeticPoint point = new GeodeticPoint(latitude, longitude, height);
+ // Body: earth
+ final OneAxisEllipsoid earth = new OneAxisEllipsoid(Constants.WGS84_EARTH_EQUATORIAL_RADIUS,
+ Constants.WGS84_EARTH_FLATTENING,
+ FramesFactory.getITRF(IERSConventions.IERS_2010, true));
+ // Topocentric frame
+ final TopocentricFrame baseFrame = new TopocentricFrame(earth, point, "topo");
+
+ // Station
+ final GroundStation station = new GroundStation(baseFrame);
+
+ // Tropospheric model
+ final double[] a = { 0.00127683, 0.00060955 };
+ final double[] z = {2.0966, 0.2140};
+ final DiscreteTroposphericModel model = new ViennaOneModel(a, z, latitude);
+
+ // Derivative Structure
+ final DSFactory factory = new DSFactory(6, 1);
+ final DerivativeStructure a0 = factory.variable(0, 24464560.0);
+ final DerivativeStructure e0 = factory.variable(1, 0.05);
+ final DerivativeStructure i0 = factory.variable(2, 0.122138);
+ final DerivativeStructure pa0 = factory.variable(3, 3.10686);
+ final DerivativeStructure raan0 = factory.variable(4, 1.00681);
+ final DerivativeStructure anomaly0 = factory.variable(5, 0.048363);
+ final Field<DerivativeStructure> field = a0.getField();
+ final DerivativeStructure zero = field.getZero();
+
+ // Field Date
+ final FieldAbsoluteDate<DerivativeStructure> dsDate = new FieldAbsoluteDate<>(field, 2018, 11, 19, 18, 0, 0.0,
+ TimeScalesFactory.getUTC());
+ // Field Orbit
+ final Frame frame = FramesFactory.getEME2000();
+ final FieldOrbit<DerivativeStructure> dsOrbit = new FieldKeplerianOrbit<>(a0, e0, i0, pa0, raan0, anomaly0,
+ PositionAngle.MEAN, frame,
+ dsDate, 3.9860047e14);
+ // Field State
+ final FieldSpacecraftState<DerivativeStructure> dsState = new FieldSpacecraftState<>(dsOrbit);
+
+ // Initial satellite elevation
+ final FieldVector3D<DerivativeStructure> position = dsState.getPVCoordinates().getPosition();
+ final DerivativeStructure dsElevation = baseFrame.getElevation(position, frame, dsDate);
+
+ // Compute delay state derivatives
+ final DerivativeStructure delay = model.pathDelay(dsElevation, zero, model.getParameters(field), dsDate);
+
+ final double[] compDelay = delay.getAllDerivatives();
+
+ // Field -> non-field
+ final Orbit orbit = dsOrbit.toOrbit();
+ final SpacecraftState state = dsState.toSpacecraftState();
+
+ // Finite differences for reference values
+ final double[][] refDeriv = new double[1][6];
+ final OrbitType orbitType = OrbitType.KEPLERIAN;
+ final PositionAngle angleType = PositionAngle.MEAN;
+ double dP = 0.001;
+ double[] steps = NumericalPropagator.tolerances(1000000 * dP, orbit, orbitType)[0];
+ for (int i = 0; i < 6; i++) {
+ SpacecraftState stateM4 = shiftState(state, orbitType, angleType, -4 * steps[i], i);
+ final Vector3D positionM4 = stateM4.getPVCoordinates().getPosition();
+ final double elevationM4 = station.getBaseFrame().getElevation(positionM4, stateM4.getFrame(), stateM4.getDate());
+ double delayM4 = model.pathDelay(elevationM4, height, model.getParameters(), stateM4.getDate());
+
+ SpacecraftState stateM3 = shiftState(state, orbitType, angleType, -3 * steps[i], i);
+ final Vector3D positionM3 = stateM3.getPVCoordinates().getPosition();
+ final double elevationM3 = station.getBaseFrame().getElevation(positionM3, stateM3.getFrame(), stateM3.getDate());
+ double delayM3 = model.pathDelay(elevationM3, height, model.getParameters(), stateM3.getDate());
+
+ SpacecraftState stateM2 = shiftState(state, orbitType, angleType, -2 * steps[i], i);
+ final Vector3D positionM2 = stateM2.getPVCoordinates().getPosition();
+ final double elevationM2 = station.getBaseFrame().getElevation(positionM2, stateM2.getFrame(), stateM2.getDate());
+ double delayM2 = model.pathDelay(elevationM2, height, model.getParameters(), stateM2.getDate());
+
+ SpacecraftState stateM1 = shiftState(state, orbitType, angleType, -1 * steps[i], i);
+ final Vector3D positionM1 = stateM1.getPVCoordinates().getPosition();
+ final double elevationM1 = station.getBaseFrame().getElevation(positionM1, stateM1.getFrame(), stateM1.getDate());
+ double delayM1 = model.pathDelay(elevationM1, height, model.getParameters(), stateM1.getDate());
+
+ SpacecraftState stateP1 = shiftState(state, orbitType, angleType, 1 * steps[i], i);
+ final Vector3D positionP1 = stateP1.getPVCoordinates().getPosition();
+ final double elevationP1 = station.getBaseFrame().getElevation(positionP1, stateP1.getFrame(), stateP1.getDate());
+ double delayP1 = model.pathDelay(elevationP1, height, model.getParameters(), stateP1.getDate());
+
+ SpacecraftState stateP2 = shiftState(state, orbitType, angleType, 2 * steps[i], i);
+ final Vector3D positionP2 = stateP2.getPVCoordinates().getPosition();
+ final double elevationP2 = station.getBaseFrame().getElevation(positionP2, stateP2.getFrame(), stateP2.getDate());
+ double delayP2 = model.pathDelay(elevationP2, height, model.getParameters(), stateP2.getDate());
+
+ SpacecraftState stateP3 = shiftState(state, orbitType, angleType, 3 * steps[i], i);
+ final Vector3D positionP3 = stateP3.getPVCoordinates().getPosition();
+ final double elevationP3 = station.getBaseFrame().getElevation(positionP3, stateP3.getFrame(), stateP3.getDate());
+ double delayP3 = model.pathDelay(elevationP3, height, model.getParameters(), stateP3.getDate());
+
+ SpacecraftState stateP4 = shiftState(state, orbitType, angleType, 4 * steps[i], i);
+ final Vector3D positionP4 = stateP4.getPVCoordinates().getPosition();
+ final double elevationP4 = station.getBaseFrame().getElevation(positionP4, stateP4.getFrame(), stateP4.getDate());
+ double delayP4 = model.pathDelay(elevationP4, height, model.getParameters(), stateP4.getDate());
+
+ fillJacobianColumn(refDeriv, i, orbitType, angleType, steps[i],
+ delayM4, delayM3, delayM2, delayM1,
+ delayP1, delayP2, delayP3, delayP4);
+ }
+
+ for (int i = 0; i < 6; i++) {
+ Assert.assertEquals(compDelay[i + 1], refDeriv[0][i], 3.0e-11);
+ }
+ }
+
+ private void fillJacobianColumn(double[][] jacobian, int column,
+ OrbitType orbitType, PositionAngle angleType, double h,
+ double sM4h, double sM3h,
+ double sM2h, double sM1h,
+ double sP1h, double sP2h,
+ double sP3h, double sP4h) {
+ for (int i = 0; i < jacobian.length; ++i) {
+ jacobian[i][column] = ( -3 * (sP4h - sM4h) +
+ 32 * (sP3h - sM3h) -
+ 168 * (sP2h - sM2h) +
+ 672 * (sP1h - sM1h)) / (840 * h);
+ }
+ }
+
+ private SpacecraftState shiftState(SpacecraftState state, OrbitType orbitType, PositionAngle angleType,
+ double delta, int column) {
+
+ double[][] array = stateToArray(state, orbitType, angleType, true);
+ array[0][column] += delta;
+
+ return arrayToState(array, orbitType, angleType, state.getFrame(), state.getDate(),
+ state.getMu(), state.getAttitude());
+
+ }
+
+ private double[][] stateToArray(SpacecraftState state, OrbitType orbitType, PositionAngle angleType,
+ boolean withMass) {
+ double[][] array = new double[2][withMass ? 7 : 6];
+ orbitType.mapOrbitToArray(state.getOrbit(), angleType, array[0], array[1]);
+ if (withMass) {
+ array[0][6] = state.getMass();
+ }
+ return array;
+ }
+
+ private SpacecraftState arrayToState(double[][] array, OrbitType orbitType, PositionAngle angleType,
+ Frame frame, AbsoluteDate date, double mu,
+ Attitude attitude) {
+ Orbit orbit = orbitType.mapArrayToOrbit(array[0], array[1], angleType, date, mu, frame);
+ return (array.length > 6) ?
+ new SpacecraftState(orbit, attitude) :
+ new SpacecraftState(orbit, attitude, array[0][6]);
+ }
+
+}
diff --git a/src/test/java/org/orekit/models/earth/FieldViennaThreeModelTest.java b/src/test/java/org/orekit/models/earth/FieldViennaThreeModelTest.java
new file mode 100644
index 0000000000000000000000000000000000000000..a36fc93852488ae7ecfa4084a257c1d188e6dbb8
--- /dev/null
+++ b/src/test/java/org/orekit/models/earth/FieldViennaThreeModelTest.java
@@ -0,0 +1,421 @@
+/* Copyright 2002-2019 CS Systèmes d'Information
+ * Licensed to CS Systèmes d'Information (CS) under one or more
+ * contributor license agreements. See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * CS licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License. You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.orekit.models.earth;
+
+import org.hipparchus.Field;
+import org.hipparchus.RealFieldElement;
+import org.hipparchus.analysis.differentiation.DSFactory;
+import org.hipparchus.analysis.differentiation.DerivativeStructure;
+import org.hipparchus.geometry.euclidean.threed.FieldVector3D;
+import org.hipparchus.geometry.euclidean.threed.Vector3D;
+import org.hipparchus.util.Decimal64Field;
+import org.hipparchus.util.FastMath;
+import org.hipparchus.util.Precision;
+import org.junit.Assert;
+import org.junit.Before;
+import org.junit.BeforeClass;
+import org.junit.Test;
+import org.orekit.Utils;
+import org.orekit.attitudes.Attitude;
+import org.orekit.bodies.GeodeticPoint;
+import org.orekit.bodies.OneAxisEllipsoid;
+import org.orekit.errors.OrekitException;
+import org.orekit.estimation.measurements.GroundStation;
+import org.orekit.frames.Frame;
+import org.orekit.frames.FramesFactory;
+import org.orekit.frames.TopocentricFrame;
+import org.orekit.orbits.FieldKeplerianOrbit;
+import org.orekit.orbits.FieldOrbit;
+import org.orekit.orbits.Orbit;
+import org.orekit.orbits.OrbitType;
+import org.orekit.orbits.PositionAngle;
+import org.orekit.propagation.FieldSpacecraftState;
+import org.orekit.propagation.SpacecraftState;
+import org.orekit.propagation.numerical.NumericalPropagator;
+import org.orekit.time.AbsoluteDate;
+import org.orekit.time.FieldAbsoluteDate;
+import org.orekit.time.TimeScalesFactory;
+import org.orekit.utils.Constants;
+import org.orekit.utils.IERSConventions;
+
+public class FieldViennaThreeModelTest {
+
+ private static double epsilon = 1e-6;
+
+ @BeforeClass
+ public static void setUpGlobal() {
+ Utils.setDataRoot("atmosphere");
+ }
+
+ @Before
+ public void setUp() throws OrekitException {
+ Utils.setDataRoot("regular-data:potential/shm-format");
+ }
+
+ @Test
+ public void testMappingFactors() {
+ doTestMappingFactors(Decimal64Field.getInstance());
+ }
+
+ private <T extends RealFieldElement<T>> void doTestMappingFactors(final Field<T> field) {
+
+ final T zero = field.getZero();
+
+ // Site: latitude: 37.5°
+ // longitude: 277.5°
+ // height: 824 m
+ //
+ // Date: 25 November 2018 at 0h UT
+ //
+ // Values: ah = 0.00123462
+ // aw = 0.00047101
+ // zhd = 2.1993 m
+ // zwd = 0.0690 m
+ //
+ // Values taken from: http://vmf.geo.tuwien.ac.at/trop_products/GRID/5x5/VMF3/VMF3_OP/2018/VMF3_20181125.H00
+ //
+ // Expected mapping factors : hydrostatic -> 1.621024
+ // wet -> 1.623023
+ //
+ // Expected outputs are obtained by performing the Matlab script vmf3.m provided by TU WIEN:
+ // http://vmf.geo.tuwien.ac.at/codes/
+ //
+
+ final FieldAbsoluteDate<T> date = new FieldAbsoluteDate<>(field, 2018, 11, 25, TimeScalesFactory.getUTC());
+
+ final double latitude = FastMath.toRadians(37.5);
+ final double longitude = FastMath.toRadians(277.5);
+ final double height = 824.0;
+
+ final double elevation = FastMath.toRadians(38.0);
+ final double expectedHydro = 1.621024;
+ final double expectedWet = 1.623023;
+
+ final double[] a = {0.00123462, 0.00047101};
+ final double[] z = {2.1993, 0.0690};
+
+ final ViennaThreeModel model = new ViennaThreeModel(a, z, latitude, longitude);
+
+ final T[] computedMapping = model.mappingFactors(zero.add(elevation), zero.add(height),
+ model.getParameters(field), date);
+
+ Assert.assertEquals(expectedHydro, computedMapping[0].getReal(), epsilon);
+ Assert.assertEquals(expectedWet, computedMapping[1].getReal(), epsilon);
+ }
+
+ @Test
+ public void testLowElevation() {
+ doTestLowElevation(Decimal64Field.getInstance());
+ }
+
+ private <T extends RealFieldElement<T>> void doTestLowElevation(final Field<T> field) {
+
+ final T zero = field.getZero();
+
+ // Site: latitude: 37.5°
+ // longitude: 277.5°
+ // height: 824 m
+ //
+ // Date: 25 November 2018 at 0h UT
+ //
+ // Values: ah = 0.00123462
+ // aw = 0.00047101
+ // zhd = 2.1993 m
+ // zwd = 0.0690 m
+ //
+ // Values taken from: http://vmf.geo.tuwien.ac.at/trop_products/GRID/5x5/VMF3/VMF3_OP/2018/VMF3_20181125.H00
+ //
+ // Expected mapping factors : hydrostatic -> 10.132802
+ // wet -> 10.879154
+ //
+ // Expected outputs are obtained by performing the Matlab script vmf3.m provided by TU WIEN:
+ // http://vmf.geo.tuwien.ac.at/codes/
+ //
+
+ final FieldAbsoluteDate<T> date = new FieldAbsoluteDate<>(field, 2018, 11, 25, TimeScalesFactory.getUTC());
+
+ final double latitude = FastMath.toRadians(37.5);
+ final double longitude = FastMath.toRadians(277.5);
+ final double height = 824.0;
+
+ final double elevation = FastMath.toRadians(5.0);
+ final double expectedHydro = 10.132802;
+ final double expectedWet = 10.879154;
+
+ final double[] a = {0.00123462, 0.00047101};
+ final double[] z = {2.1993, 0.0690};
+
+ final ViennaThreeModel model = new ViennaThreeModel(a, z, latitude, longitude);
+
+ final T[] computedMapping = model.mappingFactors(zero.add(elevation), zero.add(height),
+ model.getParameters(field), date);
+
+ Assert.assertEquals(expectedHydro, computedMapping[0].getReal(), epsilon);
+ Assert.assertEquals(expectedWet, computedMapping[1].getReal(), epsilon);
+ }
+
+ @Test
+ public void testHightElevation() {
+ doTestHightElevation(Decimal64Field.getInstance());
+ }
+
+ private <T extends RealFieldElement<T>> void doTestHightElevation(final Field<T> field) {
+
+ final T zero = field.getZero();
+
+ // Site: latitude: 37.5°
+ // longitude: 277.5°
+ // height: 824 m
+ //
+ // Date: 25 November 2018 at 0h UT
+ //
+ // Values: ah = 0.00123462
+ // aw = 0.00047101
+ // zhd = 2.1993 m
+ // zwd = 0.0690 m
+ //
+ // Values taken from: http://vmf.geo.tuwien.ac.at/trop_products/GRID/5x5/VMF3/VMF3_OP/2018/VMF3_20181125.H00
+ //
+ // Expected mapping factors : hydrostatic -> 1.003810
+ // wet -> 1.003816
+ //
+ // Expected outputs are obtained by performing the Matlab script vmf3.m provided by TU WIEN:
+ // http://vmf.geo.tuwien.ac.at/codes/
+ //
+
+ final FieldAbsoluteDate<T> date = new FieldAbsoluteDate<>(field, 2018, 11, 25, TimeScalesFactory.getUTC());
+
+ final double latitude = FastMath.toRadians(37.5);
+ final double longitude = FastMath.toRadians(277.5);
+ final double height = 824.0;
+
+ final double elevation = FastMath.toRadians(85.0);
+ final double expectedHydro = 1.003810;
+ final double expectedWet = 1.003816;
+
+ final double[] a = {0.00123462, 0.00047101};
+ final double[] z = {2.1993, 0.0690};
+
+ final ViennaThreeModel model = new ViennaThreeModel(a, z, latitude, longitude);
+
+ final T[] computedMapping = model.mappingFactors(zero.add(elevation), zero.add(height),
+ model.getParameters(field), date);
+
+ Assert.assertEquals(expectedHydro, computedMapping[0].getReal(), epsilon);
+ Assert.assertEquals(expectedWet, computedMapping[1].getReal(), epsilon);
+ }
+
+ @Test
+ public void testDelay() {
+ doTestDelay(Decimal64Field.getInstance());
+ }
+
+ private <T extends RealFieldElement<T>> void doTestDelay(final Field<T> field) {
+ final T zero = field.getZero();
+ final double elevation = 10d;
+ final double height = 100d;
+ final FieldAbsoluteDate<T> date = new FieldAbsoluteDate<>(field);
+ final double[] a = { 0.00123462, 0.00047101};
+ final double[] z = {2.1993, 0.0690};
+ ViennaThreeModel model = new ViennaThreeModel(a, z, FastMath.toRadians(37.5), FastMath.toRadians(277.5));
+ final T path = model.pathDelay(zero.add(FastMath.toRadians(elevation)), zero.add(height),
+ model.getParameters(field), date);
+ Assert.assertTrue(Precision.compareTo(path.getReal(), 20d, epsilon) < 0);
+ Assert.assertTrue(Precision.compareTo(path.getReal(), 0d, epsilon) > 0);
+ }
+
+ @Test
+ public void testFixedHeight() {
+ doTestFixedHeight(Decimal64Field.getInstance());
+ }
+
+ private <T extends RealFieldElement<T>> void doTestFixedHeight(final Field<T> field) {
+ final T zero = field.getZero();
+ final FieldAbsoluteDate<T> date = new FieldAbsoluteDate<>(field);
+ final double[] a = { 0.00123462, 0.00047101};
+ final double[] z = {2.1993, 0.0690};
+ ViennaThreeModel model = new ViennaThreeModel(a, z, FastMath.toRadians(37.5), FastMath.toRadians(277.5));
+ T lastDelay = zero.add(Double.MAX_VALUE);
+ // delay shall decline with increasing elevation angle
+ for (double elev = 10d; elev < 90d; elev += 8d) {
+ final T delay = model.pathDelay(zero.add(FastMath.toRadians(elev)), zero.add(350),
+ model.getParameters(field), date);
+ Assert.assertTrue(Precision.compareTo(delay.getReal(), lastDelay.getReal(), epsilon) < 0);
+ lastDelay = delay;
+ }
+ }
+
+ @Test
+ public void testDelayStateDerivatives() {
+
+ // Geodetic point
+ final double latitude = FastMath.toRadians(45.0);
+ final double longitude = FastMath.toRadians(45.0);
+ final double height = 0.0;
+ final GeodeticPoint point = new GeodeticPoint(latitude, longitude, height);
+ // Body: earth
+ final OneAxisEllipsoid earth = new OneAxisEllipsoid(Constants.WGS84_EARTH_EQUATORIAL_RADIUS,
+ Constants.WGS84_EARTH_FLATTENING,
+ FramesFactory.getITRF(IERSConventions.IERS_2010, true));
+ // Topocentric frame
+ final TopocentricFrame baseFrame = new TopocentricFrame(earth, point, "topo");
+
+ // Station
+ final GroundStation station = new GroundStation(baseFrame);
+
+ // Tropospheric model
+ final double[] a = { 0.00127683, 0.00060955 };
+ final double[] z = {2.0966, 0.2140};
+ final DiscreteTroposphericModel model = new ViennaThreeModel(a, z, latitude, longitude);
+
+ // Derivative Structure
+ final DSFactory factory = new DSFactory(6, 1);
+ final DerivativeStructure a0 = factory.variable(0, 24464560.0);
+ final DerivativeStructure e0 = factory.variable(1, 0.05);
+ final DerivativeStructure i0 = factory.variable(2, 0.122138);
+ final DerivativeStructure pa0 = factory.variable(3, 3.10686);
+ final DerivativeStructure raan0 = factory.variable(4, 1.00681);
+ final DerivativeStructure anomaly0 = factory.variable(5, 0.048363);
+ final Field<DerivativeStructure> field = a0.getField();
+ final DerivativeStructure zero = field.getZero();
+
+ // Field Date
+ final FieldAbsoluteDate<DerivativeStructure> dsDate = new FieldAbsoluteDate<>(field, 2018, 11, 19, 18, 0, 0.0,
+ TimeScalesFactory.getUTC());
+ // Field Orbit
+ final Frame frame = FramesFactory.getEME2000();
+ final FieldOrbit<DerivativeStructure> dsOrbit = new FieldKeplerianOrbit<>(a0, e0, i0, pa0, raan0, anomaly0,
+ PositionAngle.MEAN, frame,
+ dsDate, 3.9860047e14);
+ // Field State
+ final FieldSpacecraftState<DerivativeStructure> dsState = new FieldSpacecraftState<>(dsOrbit);
+
+ // Initial satellite elevation
+ final FieldVector3D<DerivativeStructure> position = dsState.getPVCoordinates().getPosition();
+ final DerivativeStructure dsElevation = baseFrame.getElevation(position, frame, dsDate);
+
+ // Compute delay state derivatives
+ final DerivativeStructure delay = model.pathDelay(dsElevation, zero, model.getParameters(field), dsDate);
+
+ final double[] compDelay = delay.getAllDerivatives();
+
+ // Field -> non-field
+ final Orbit orbit = dsOrbit.toOrbit();
+ final SpacecraftState state = dsState.toSpacecraftState();
+
+ // Finite differences for reference values
+ final double[][] refDeriv = new double[1][6];
+ final OrbitType orbitType = OrbitType.KEPLERIAN;
+ final PositionAngle angleType = PositionAngle.MEAN;
+ double dP = 0.001;
+ double[] steps = NumericalPropagator.tolerances(1000000 * dP, orbit, orbitType)[0];
+ for (int i = 0; i < 6; i++) {
+ SpacecraftState stateM4 = shiftState(state, orbitType, angleType, -4 * steps[i], i);
+ final Vector3D positionM4 = stateM4.getPVCoordinates().getPosition();
+ final double elevationM4 = station.getBaseFrame().getElevation(positionM4, stateM4.getFrame(), stateM4.getDate());
+ double delayM4 = model.pathDelay(elevationM4, height, model.getParameters(), stateM4.getDate());
+
+ SpacecraftState stateM3 = shiftState(state, orbitType, angleType, -3 * steps[i], i);
+ final Vector3D positionM3 = stateM3.getPVCoordinates().getPosition();
+ final double elevationM3 = station.getBaseFrame().getElevation(positionM3, stateM3.getFrame(), stateM3.getDate());
+ double delayM3 = model.pathDelay(elevationM3, height, model.getParameters(), stateM3.getDate());
+
+ SpacecraftState stateM2 = shiftState(state, orbitType, angleType, -2 * steps[i], i);
+ final Vector3D positionM2 = stateM2.getPVCoordinates().getPosition();
+ final double elevationM2 = station.getBaseFrame().getElevation(positionM2, stateM2.getFrame(), stateM2.getDate());
+ double delayM2 = model.pathDelay(elevationM2, height, model.getParameters(), stateM2.getDate());
+
+ SpacecraftState stateM1 = shiftState(state, orbitType, angleType, -1 * steps[i], i);
+ final Vector3D positionM1 = stateM1.getPVCoordinates().getPosition();
+ final double elevationM1 = station.getBaseFrame().getElevation(positionM1, stateM1.getFrame(), stateM1.getDate());
+ double delayM1 = model.pathDelay(elevationM1, height, model.getParameters(), stateM1.getDate());
+
+ SpacecraftState stateP1 = shiftState(state, orbitType, angleType, 1 * steps[i], i);
+ final Vector3D positionP1 = stateP1.getPVCoordinates().getPosition();
+ final double elevationP1 = station.getBaseFrame().getElevation(positionP1, stateP1.getFrame(), stateP1.getDate());
+ double delayP1 = model.pathDelay(elevationP1, height, model.getParameters(), stateP1.getDate());
+
+ SpacecraftState stateP2 = shiftState(state, orbitType, angleType, 2 * steps[i], i);
+ final Vector3D positionP2 = stateP2.getPVCoordinates().getPosition();
+ final double elevationP2 = station.getBaseFrame().getElevation(positionP2, stateP2.getFrame(), stateP2.getDate());
+ double delayP2 = model.pathDelay(elevationP2, height, model.getParameters(), stateP2.getDate());
+
+ SpacecraftState stateP3 = shiftState(state, orbitType, angleType, 3 * steps[i], i);
+ final Vector3D positionP3 = stateP3.getPVCoordinates().getPosition();
+ final double elevationP3 = station.getBaseFrame().getElevation(positionP3, stateP3.getFrame(), stateP3.getDate());
+ double delayP3 = model.pathDelay(elevationP3, height, model.getParameters(), stateP3.getDate());
+
+ SpacecraftState stateP4 = shiftState(state, orbitType, angleType, 4 * steps[i], i);
+ final Vector3D positionP4 = stateP4.getPVCoordinates().getPosition();
+ final double elevationP4 = station.getBaseFrame().getElevation(positionP4, stateP4.getFrame(), stateP4.getDate());
+ double delayP4 = model.pathDelay(elevationP4, height, model.getParameters(), stateP4.getDate());
+
+ fillJacobianColumn(refDeriv, i, orbitType, angleType, steps[i],
+ delayM4, delayM3, delayM2, delayM1,
+ delayP1, delayP2, delayP3, delayP4);
+ }
+
+ for (int i = 0; i < 6; i++) {
+ Assert.assertEquals(compDelay[i + 1], refDeriv[0][i], 6.2e-12);
+ }
+ }
+
+ private void fillJacobianColumn(double[][] jacobian, int column,
+ OrbitType orbitType, PositionAngle angleType, double h,
+ double sM4h, double sM3h,
+ double sM2h, double sM1h,
+ double sP1h, double sP2h,
+ double sP3h, double sP4h) {
+ for (int i = 0; i < jacobian.length; ++i) {
+ jacobian[i][column] = ( -3 * (sP4h - sM4h) +
+ 32 * (sP3h - sM3h) -
+ 168 * (sP2h - sM2h) +
+ 672 * (sP1h - sM1h)) / (840 * h);
+ }
+ }
+
+ private SpacecraftState shiftState(SpacecraftState state, OrbitType orbitType, PositionAngle angleType,
+ double delta, int column) {
+
+ double[][] array = stateToArray(state, orbitType, angleType, true);
+ array[0][column] += delta;
+
+ return arrayToState(array, orbitType, angleType, state.getFrame(), state.getDate(),
+ state.getMu(), state.getAttitude());
+
+ }
+
+ private double[][] stateToArray(SpacecraftState state, OrbitType orbitType, PositionAngle angleType,
+ boolean withMass) {
+ double[][] array = new double[2][withMass ? 7 : 6];
+ orbitType.mapOrbitToArray(state.getOrbit(), angleType, array[0], array[1]);
+ if (withMass) {
+ array[0][6] = state.getMass();
+ }
+ return array;
+ }
+
+ private SpacecraftState arrayToState(double[][] array, OrbitType orbitType, PositionAngle angleType,
+ Frame frame, AbsoluteDate date, double mu,
+ Attitude attitude) {
+ Orbit orbit = orbitType.mapArrayToOrbit(array[0], array[1], angleType, date, mu, frame);
+ return (array.length > 6) ?
+ new SpacecraftState(orbit, attitude) :
+ new SpacecraftState(orbit, attitude, array[0][6]);
+ }
+
+}
diff --git a/src/test/java/org/orekit/models/earth/GlobalMappingFunctionModelTest.java b/src/test/java/org/orekit/models/earth/GlobalMappingFunctionModelTest.java
new file mode 100644
index 0000000000000000000000000000000000000000..7499caca397b899f533c9f3321aeface0e121eca
--- /dev/null
+++ b/src/test/java/org/orekit/models/earth/GlobalMappingFunctionModelTest.java
@@ -0,0 +1,93 @@
+/* Copyright 2002-2019 CS Systèmes d'Information
+ * Licensed to CS Systèmes d'Information (CS) under one or more
+ * contributor license agreements. See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * CS licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License. You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.orekit.models.earth;
+
+import org.hipparchus.util.FastMath;
+import org.hipparchus.util.Precision;
+import org.junit.Assert;
+import org.junit.Before;
+import org.junit.BeforeClass;
+import org.junit.Test;
+import org.orekit.Utils;
+import org.orekit.errors.OrekitException;
+import org.orekit.time.AbsoluteDate;
+import org.orekit.time.TimeScalesFactory;
+
+public class GlobalMappingFunctionModelTest {
+
+ @BeforeClass
+ public static void setUpGlobal() {
+ Utils.setDataRoot("atmosphere");
+ }
+
+ @Before
+ public void setUp() throws OrekitException {
+ Utils.setDataRoot("regular-data:potential/shm-format");
+ }
+
+ @Test
+ public void testMappingFactors() {
+
+ // Site (NRAO, Green Bank, WV): latitude: 0.6708665767 radians
+ // longitude: -1.393397187 radians
+ // height: 844.715 m
+ //
+ // Date: MJD 55055 -> 12 August 2009 at 0h UT
+ //
+ // Ref: Petit, G. and Luzum, B. (eds.), IERS Conventions (2010),
+ // IERS Technical Note No. 36, BKG (2010)
+ //
+ // Expected mapping factors : hydrostatic -> 3.425246 (Ref)
+ // wet -> 3.449589 (Ref)
+
+ final AbsoluteDate date = AbsoluteDate.createMJDDate(55055, 0, TimeScalesFactory.getUTC());
+
+ final double latitude = 0.6708665767;
+ final double longitude = -1.393397187;
+ final double height = 844.715;
+
+ final double elevation = 0.5 * FastMath.PI - 1.278564131;
+ final double expectedHydro = 3.425246;
+ final double expectedWet = 3.449589;
+
+ final MappingFunction model = new GlobalMappingFunctionModel(latitude, longitude);
+
+ final double[] computedMapping = model.mappingFactors(elevation, height, model.getParameters(), date);
+
+ Assert.assertEquals(expectedHydro, computedMapping[0], 1.0e-6);
+ Assert.assertEquals(expectedWet, computedMapping[1], 1.0e-6);
+ }
+
+ @Test
+ public void testFixedHeight() {
+ final AbsoluteDate date = new AbsoluteDate();
+ MappingFunction model = new GlobalMappingFunctionModel(FastMath.toRadians(45.0), FastMath.toRadians(45.0));
+ double[] lastFactors = new double[] {
+ Double.MAX_VALUE,
+ Double.MAX_VALUE
+ };
+ // mapping functions shall decline with increasing elevation angle
+ for (double elev = 10d; elev < 90d; elev += 8d) {
+ final double[] factors = model.mappingFactors(FastMath.toRadians(elev), 350, model.getParameters(), date);
+ Assert.assertTrue(Precision.compareTo(factors[0], lastFactors[0], 1.0e-6) < 0);
+ Assert.assertTrue(Precision.compareTo(factors[1], lastFactors[1], 1.0e-6) < 0);
+ lastFactors[0] = factors[0];
+ lastFactors[1] = factors[1];
+ }
+ }
+
+}
diff --git a/src/test/java/org/orekit/models/earth/MendesPavlisModelTest.java b/src/test/java/org/orekit/models/earth/MendesPavlisModelTest.java
new file mode 100644
index 0000000000000000000000000000000000000000..9640994c3522f77f603ca37a335956fa587c439d
--- /dev/null
+++ b/src/test/java/org/orekit/models/earth/MendesPavlisModelTest.java
@@ -0,0 +1,150 @@
+/* Copyright 2002-2019 CS Systèmes d'Information
+ * Licensed to CS Systèmes d'Information (CS) under one or more
+ * contributor license agreements. See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * CS licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License. You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.orekit.models.earth;
+
+import org.hipparchus.util.FastMath;
+import org.hipparchus.util.Precision;
+import org.junit.Assert;
+import org.junit.Before;
+import org.junit.BeforeClass;
+import org.junit.Test;
+import org.orekit.Utils;
+import org.orekit.errors.OrekitException;
+import org.orekit.time.AbsoluteDate;
+import org.orekit.time.TimeScalesFactory;;
+
+public class MendesPavlisModelTest {
+
+ private static double epsilon = 1e-6;
+
+ @BeforeClass
+ public static void setUpGlobal() {
+ Utils.setDataRoot("atmosphere");
+ }
+
+ @Before
+ public void setUp() throws OrekitException {
+ Utils.setDataRoot("regular-data:potential/shm-format");
+ }
+
+ @Test
+ public void testZenithDelay() {
+
+ // Site: McDonald Observatory
+ // latitude: 30.67166667 °
+ // height: 2010.344 m
+ //
+ // Meteo: pressure: 798.4188 hPa
+ // water vapor presure: 14.322 hPa
+ // temperature: 300.15 K
+ // humidity: 40 %
+ //
+ // Ref: Petit, G. and Luzum, B. (eds.), IERS Conventions (2010),
+ // IERS Technical Note No. 36, BKG (2010)
+
+ final double latitude = FastMath.toRadians(30.67166667);
+ final double height = 2010.344;
+ final double pressure = 798.4188;
+ final double temperature = 300.15;
+ final double humidity = 0.4;
+ final double lambda = 0.532;
+
+ // Expected zenith hydrostatic delay: 1.932992 m (Ref)
+ final double expectedHydroDelay = 1.932992;
+ // Expected zenith wet delay: 0.223375*10-2 m (Ref)
+ final double expectedWetDelay = 0.223375e-2;
+ // Expected total zenith delay: 1.935226 m (Ref)
+ final double expectedDelay = 1.935226;
+
+ final double precision = 4.0e-6;
+
+ final AbsoluteDate date = new AbsoluteDate(2009, 8, 12, TimeScalesFactory.getUTC());
+
+ final MendesPavlisModel model = new MendesPavlisModel(temperature, pressure,
+ humidity, latitude, lambda);
+
+ final double[] computedDelay = model.computeZenithDelay(height, model.getParameters(), date);
+
+ Assert.assertEquals(expectedHydroDelay, computedDelay[0], precision);
+ Assert.assertEquals(expectedWetDelay, computedDelay[1], precision);
+ Assert.assertEquals(expectedDelay, computedDelay[0] + computedDelay[1], precision);
+
+ }
+
+ @Test
+ public void testMappingFactors() {
+
+ // Site: McDonald Observatory
+ // latitude: 30.67166667 °
+ // height: 2075 m
+ //
+ // Meteo: pressure: 798.4188 hPa
+ // water vapor presure: 14.322 hPa
+ // temperature: 300.15 K
+ // humidity: 40 %
+ //
+ // Ref: Petit, G. and Luzum, B. (eds.), IERS Conventions (2010),
+ // IERS Technical Note No. 36, BKG (2010)
+
+ final AbsoluteDate date = new AbsoluteDate(2009, 8, 12, TimeScalesFactory.getUTC());
+
+ final double latitude = FastMath.toRadians(30.67166667);
+ final double height = 2075;
+ final double pressure = 798.4188;
+ final double temperature = 300.15;
+ final double humidity = 0.4;
+ final double lambda = 0.532;
+
+ final double elevation = FastMath.toRadians(15.0);
+ // Expected mapping factor: 3.80024367 (Ref)
+ final double expectedMapping = 3.80024367;
+
+ // Test for the second constructor
+ final MendesPavlisModel model = new MendesPavlisModel(temperature, pressure,
+ humidity, latitude, lambda);
+
+ final double[] computedMapping = model.mappingFactors(elevation, height, model.getParameters(), date);
+
+ Assert.assertEquals(expectedMapping, computedMapping[0], 5.0e-8);
+ Assert.assertEquals(expectedMapping, computedMapping[1], 5.0e-8);
+ }
+
+ @Test
+ public void testDelay() {
+ final double elevation = 10d;
+ final double height = 100d;
+ final AbsoluteDate date = new AbsoluteDate();
+ MendesPavlisModel model = MendesPavlisModel.getStandardModel(FastMath.toRadians(45.0), 0.6943);
+ final double path = model.pathDelay(FastMath.toRadians(elevation), height, model.getParameters(), date);
+ Assert.assertTrue(Precision.compareTo(path, 20d, epsilon) < 0);
+ Assert.assertTrue(Precision.compareTo(path, 0d, epsilon) > 0);
+ }
+
+ @Test
+ public void testFixedHeight() {
+ final AbsoluteDate date = new AbsoluteDate();
+ MendesPavlisModel model = MendesPavlisModel.getStandardModel(FastMath.toRadians(45.0), 0.6943);
+ double lastDelay = Double.MAX_VALUE;
+ // delay shall decline with increasing elevation angle
+ for (double elev = 10d; elev < 90d; elev += 8d) {
+ final double delay = model.pathDelay(FastMath.toRadians(elev), 350, model.getParameters(), date);
+ Assert.assertTrue(Precision.compareTo(delay, lastDelay, epsilon) < 0);
+ lastDelay = delay;
+ }
+ }
+
+}
diff --git a/src/test/java/org/orekit/models/earth/NiellMappingFunctionModelTest.java b/src/test/java/org/orekit/models/earth/NiellMappingFunctionModelTest.java
new file mode 100644
index 0000000000000000000000000000000000000000..cb15b40d149a07b5000689927b8ac752104f5e01
--- /dev/null
+++ b/src/test/java/org/orekit/models/earth/NiellMappingFunctionModelTest.java
@@ -0,0 +1,91 @@
+/* Copyright 2002-2019 CS Systèmes d'Information
+ * Licensed to CS Systèmes d'Information (CS) under one or more
+ * contributor license agreements. See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * CS licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License. You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.orekit.models.earth;
+
+import org.hipparchus.util.FastMath;
+import org.hipparchus.util.Precision;
+import org.junit.Assert;
+import org.junit.Before;
+import org.junit.BeforeClass;
+import org.junit.Test;
+import org.orekit.Utils;
+import org.orekit.errors.OrekitException;
+import org.orekit.time.AbsoluteDate;
+import org.orekit.time.TimeScalesFactory;
+
+public class NiellMappingFunctionModelTest {
+
+ @BeforeClass
+ public static void setUpGlobal() {
+ Utils.setDataRoot("atmosphere");
+ }
+
+ @Before
+ public void setUp() throws OrekitException {
+ Utils.setDataRoot("regular-data:potential/shm-format");
+ }
+
+ @Test
+ public void testMappingFactors() {
+
+ // Site (Le Mans, France): latitude: 48.0°
+ // longitude: 0.20°
+ // height: 68 m
+ //
+ // Date: 1st January 1994 at 0h UT
+ //
+ // Ref: Mercier F., Perosanz F., Mesures GNSS, Résolution des ambiguités.
+ //
+ // Expected mapping factors : hydrostatic -> 10.16 (Ref)
+ // wet -> 10.75 (Ref)
+
+ final AbsoluteDate date = new AbsoluteDate(1994, 1, 1, TimeScalesFactory.getUTC());
+
+ final double latitude = FastMath.toRadians(48.0);
+ final double height = 68.0;
+
+ final double elevation = FastMath.toRadians(5.0);
+ final double expectedHydro = 10.16;
+ final double expectedWet = 10.75;
+
+ final MappingFunction model = new NiellMappingFunctionModel(latitude);
+
+ final double[] computedMapping = model.mappingFactors(elevation, height, model.getParameters(), date);
+
+ Assert.assertEquals(expectedHydro, computedMapping[0], 1.0e-2);
+ Assert.assertEquals(expectedWet, computedMapping[1], 1.0e-2);
+ }
+
+ @Test
+ public void testFixedHeight() {
+ final AbsoluteDate date = new AbsoluteDate();
+ MappingFunction model = new NiellMappingFunctionModel(FastMath.toRadians(45.0));
+ double[] lastFactors = new double[] {
+ Double.MAX_VALUE,
+ Double.MAX_VALUE
+ };
+ // mapping functions shall decline with increasing elevation angle
+ for (double elev = 10d; elev < 90d; elev += 8d) {
+ final double[] factors = model.mappingFactors(FastMath.toRadians(elev), 350, model.getParameters(), date);
+ Assert.assertTrue(Precision.compareTo(factors[0], lastFactors[0], 1.0e-6) < 0);
+ Assert.assertTrue(Precision.compareTo(factors[1], lastFactors[1], 1.0e-6) < 0);
+ lastFactors[0] = factors[0];
+ lastFactors[1] = factors[1];
+ }
+ }
+
+}
diff --git a/src/test/java/org/orekit/models/earth/ViennaModelCoefficientsLoaderTest.java b/src/test/java/org/orekit/models/earth/ViennaModelCoefficientsLoaderTest.java
new file mode 100644
index 0000000000000000000000000000000000000000..4ba3bbef273642870ced745bfc0a387f17197578
--- /dev/null
+++ b/src/test/java/org/orekit/models/earth/ViennaModelCoefficientsLoaderTest.java
@@ -0,0 +1,214 @@
+/* Copyright 2002-2019 CS Systèmes d'Information
+ * Licensed to CS Systèmes d'Information (CS) under one or more
+ * contributor license agreements. See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * CS licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License. You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.orekit.models.earth;
+
+import org.hipparchus.util.FastMath;
+import org.junit.Assert;
+import org.junit.Test;
+import org.orekit.Utils;
+import org.orekit.errors.OrekitException;
+import org.orekit.errors.OrekitMessages;
+import org.orekit.time.DateTimeComponents;
+
+public class ViennaModelCoefficientsLoaderTest {
+
+ private static double epsilon = 5.0e-16;
+
+ @Test
+ /**
+ * Regular test for 19th of November 2018 with Vienna 1 model
+ * @throws OrekitException if file does not exist or data cannot be read properly
+ */
+ public void testRegularFileVienna1() {
+
+ Utils.setDataRoot("vmf1-tropospheric-coefficients");
+
+ final double latitude = FastMath.toRadians(14.0);
+ final double longitude = FastMath.toRadians(67.5);
+ ViennaModelCoefficientsLoader tropoLoader = new ViennaModelCoefficientsLoader(latitude, longitude, ViennaModelType.VIENNA_ONE);
+ DateTimeComponents dateTimeComponents = new DateTimeComponents(2018, 11, 19, 18, 0, 0.0);
+ tropoLoader.loadViennaCoefficients(dateTimeComponents);
+
+ final double a[] = tropoLoader.getA();
+ final double delays[] = tropoLoader.getZenithDelay();
+
+ Assert.assertEquals(0.00127935, a[0], epsilon);
+ Assert.assertEquals(0.00064084, a[1], epsilon);
+
+ Assert.assertEquals(2.3131, delays[0], epsilon);
+ Assert.assertEquals(0.3086, delays[1], epsilon);
+ }
+
+ @Test
+ /**
+ * Regular test for 25th of November 2018 with Vienna 3 model
+ * @throws OrekitException if file does not exist or data cannot be read properly
+ */
+ public void testRegularFile5x5Vienna3() {
+
+ Utils.setDataRoot("vmf3-5x5-tropospheric-coefficients");
+
+ final double latitude = FastMath.toRadians(77.5);
+ final double longitude = FastMath.toRadians(2.5);
+ ViennaModelCoefficientsLoader tropoLoader = new ViennaModelCoefficientsLoader(latitude, longitude, ViennaModelType.VIENNA_THREE);
+ DateTimeComponents dateTimeComponents = new DateTimeComponents(2018, 11, 25, 0, 0, 0.0);
+ tropoLoader.loadViennaCoefficients(dateTimeComponents);
+
+ final double a[] = tropoLoader.getA();
+ final double delays[] = tropoLoader.getZenithDelay();
+
+ Assert.assertEquals(0.00117002, a[0], epsilon);
+ Assert.assertEquals(0.00045484, a[1], epsilon);
+
+ Assert.assertEquals(2.3203, delays[0], epsilon);
+ Assert.assertEquals(0.0191, delays[1], epsilon);
+ }
+
+ @Test
+ /**
+ * Regular test for 25th of November 2018 with Vienna 3 model
+ * @throws OrekitException if file does not exist or data cannot be read properly
+ */
+ public void testRegularFile1x1Vienna3() {
+
+ Utils.setDataRoot("vmf3-1x1-tropospheric-coefficients");
+
+ final double latitude = FastMath.toRadians(19.5);
+ final double longitude = FastMath.toRadians(276.5);
+ ViennaModelCoefficientsLoader tropoLoader = new ViennaModelCoefficientsLoader(latitude, longitude, ViennaModelType.VIENNA_THREE);
+ DateTimeComponents dateTimeComponents = new DateTimeComponents(2018, 11, 25, 0, 0, 0.0);
+ tropoLoader.loadViennaCoefficients(dateTimeComponents);
+
+ final double a[] = tropoLoader.getA();
+ final double delays[] = tropoLoader.getZenithDelay();
+
+ Assert.assertEquals(0.00127606, a[0], epsilon);
+ Assert.assertEquals(0.00056388, a[1], epsilon);
+
+ Assert.assertEquals(2.3117, delays[0], epsilon);
+ Assert.assertEquals(0.2239, delays[1], epsilon);
+ }
+
+ @Test
+ public void testEquality() {
+
+ // Commons parameters
+ Utils.setDataRoot("vmf3-1x1-tropospheric-coefficients");
+ DateTimeComponents dateTimeComponents = new DateTimeComponents(2018, 11, 25, 0, 0, 0.0);
+ final double latitude = FastMath.toRadians(45.0);
+
+ double longitude1;
+ ViennaModelCoefficientsLoader model1;
+
+ double longitude2;
+ ViennaModelCoefficientsLoader model2;
+
+ // Test longitude = 181° and longitude = -179°
+ longitude1 = FastMath.toRadians(181.0);
+ longitude2 = FastMath.toRadians(-179.0);
+
+ model1 = new ViennaModelCoefficientsLoader(latitude, longitude1, ViennaModelType.VIENNA_THREE);
+ model2 = new ViennaModelCoefficientsLoader(latitude, longitude2, ViennaModelType.VIENNA_THREE);
+
+ model1.loadViennaCoefficients(dateTimeComponents);
+ model2.loadViennaCoefficients(dateTimeComponents);
+
+ Assert.assertEquals(model1.getA()[0], model2.getA()[0], epsilon);
+ Assert.assertEquals(model1.getA()[1], model2.getA()[1], epsilon);
+ Assert.assertEquals(model1.getZenithDelay()[0], model2.getZenithDelay()[0], epsilon);
+ Assert.assertEquals(model1.getZenithDelay()[1], model2.getZenithDelay()[1], epsilon);
+
+ // Test longitude = 180° and longitude = -180°
+ longitude1 = FastMath.toRadians(180.0);
+ longitude2 = FastMath.toRadians(-180.0);
+
+ model1 = new ViennaModelCoefficientsLoader(latitude, longitude1, ViennaModelType.VIENNA_THREE);
+ model2 = new ViennaModelCoefficientsLoader(latitude, longitude2, ViennaModelType.VIENNA_THREE);
+
+ model1.loadViennaCoefficients(dateTimeComponents);
+ model2.loadViennaCoefficients(dateTimeComponents);
+
+ Assert.assertEquals(model1.getA()[0], model2.getA()[0], epsilon);
+ Assert.assertEquals(model1.getA()[1], model2.getA()[1], epsilon);
+ Assert.assertEquals(model1.getZenithDelay()[0], model2.getZenithDelay()[0], epsilon);
+ Assert.assertEquals(model1.getZenithDelay()[1], model2.getZenithDelay()[1], epsilon);
+
+ // Test longitude = 0° and longitude = 360°
+ longitude1 = FastMath.toRadians(0.0);
+ longitude2 = FastMath.toRadians(360.0);
+
+ model1 = new ViennaModelCoefficientsLoader(latitude, longitude1, ViennaModelType.VIENNA_THREE);
+ model2 = new ViennaModelCoefficientsLoader(latitude, longitude2, ViennaModelType.VIENNA_THREE);
+
+ model1.loadViennaCoefficients(dateTimeComponents);
+ model2.loadViennaCoefficients(dateTimeComponents);
+
+ Assert.assertEquals(model1.getA()[0], model2.getA()[0], epsilon);
+ Assert.assertEquals(model1.getA()[1], model2.getA()[1], epsilon);
+ Assert.assertEquals(model1.getZenithDelay()[0], model2.getZenithDelay()[0], epsilon);
+ Assert.assertEquals(model1.getZenithDelay()[1], model2.getZenithDelay()[1], epsilon);
+
+ }
+
+ @Test
+ /**
+ * Test of a corrupted file with improper data.
+ */
+ public void testCorruptedFileBadData() {
+
+ final double latitude = FastMath.toRadians(14.0);
+ final double longitude = FastMath.toRadians(67.5);
+
+ Utils.setDataRoot("vmf1-tropospheric-coefficients");
+ final String fileName = "corrupted-bad-data-VMFG_20181119.H18";
+ ViennaModelCoefficientsLoader tropoLoader =
+ new ViennaModelCoefficientsLoader(fileName, latitude, longitude, ViennaModelType.VIENNA_ONE);
+
+ try {
+ tropoLoader.loadViennaCoefficients();
+ Assert.fail("An exception should have been thrown");
+
+ } catch (OrekitException oe) {
+ Assert.assertEquals(OrekitMessages.UNABLE_TO_PARSE_LINE_IN_FILE, oe.getSpecifier());
+ }
+ }
+
+ @Test
+ /**
+ * Test for a file that cannot be found
+ */
+ public void testAbsentFile() {
+
+ Utils.setDataRoot("vmf1-tropospheric-coefficients");
+ final double latitude = FastMath.toRadians(14.0);
+ final double longitude = FastMath.toRadians(67.5);
+ ViennaModelCoefficientsLoader tropoLoader = new ViennaModelCoefficientsLoader(latitude, longitude, ViennaModelType.VIENNA_ONE);
+ DateTimeComponents dateTimeComponents = new DateTimeComponents(2018, 11, 19, 1, 0, 0);
+
+ try {
+ tropoLoader.loadViennaCoefficients(dateTimeComponents);
+ Assert.fail("An exception should have been thrown");
+
+ } catch (OrekitException oe) {
+ Assert.assertEquals(OrekitMessages.VIENNA_ACOEF_OR_ZENITH_DELAY_NOT_AVAILABLE_FOR_DATE,
+ oe.getSpecifier());
+ Assert.assertEquals(dateTimeComponents.toString(),
+ (String) oe.getParts()[0]);
+ }
+ }
+
+}
diff --git a/src/test/java/org/orekit/models/earth/ViennaOneModelTest.java b/src/test/java/org/orekit/models/earth/ViennaOneModelTest.java
new file mode 100644
index 0000000000000000000000000000000000000000..bfdadd15d19090947e8f58f833371474b0d128d6
--- /dev/null
+++ b/src/test/java/org/orekit/models/earth/ViennaOneModelTest.java
@@ -0,0 +1,118 @@
+/* Copyright 2002-2019 CS Systèmes d'Information
+ * Licensed to CS Systèmes d'Information (CS) under one or more
+ * contributor license agreements. See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * CS licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License. You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.orekit.models.earth;
+
+import org.hipparchus.util.FastMath;
+import org.hipparchus.util.Precision;
+import org.junit.Assert;
+import org.junit.Before;
+import org.junit.BeforeClass;
+import org.junit.Test;
+import org.orekit.Utils;
+import org.orekit.errors.OrekitException;
+import org.orekit.time.AbsoluteDate;
+import org.orekit.time.TimeScalesFactory;
+
+public class ViennaOneModelTest {
+
+ private static double epsilon = 1e-6;
+
+ @BeforeClass
+ public static void setUpGlobal() {
+ Utils.setDataRoot("atmosphere");
+ }
+
+ @Before
+ public void setUp() throws OrekitException {
+ Utils.setDataRoot("regular-data:potential/shm-format");
+ }
+
+ @Test
+ public void testMappingFactors() {
+
+ // Site (NRAO, Green Bank, WV): latitude: 38°
+ // longitude: 280°
+ // height: 824.17 m
+ //
+ // Date: MJD 55055 -> 12 August 2009 at 0h UT
+ //
+ // Ref for the inputs: Petit, G. and Luzum, B. (eds.), IERS Conventions (2010),
+ // IERS Technical Note No. 36, BKG (2010)
+ //
+ // Values: ah = 0.00127683
+ // aw = 0.00060955
+ // zhd = 2.0966 m
+ // zwd = 0.2140 m
+ //
+ // Values taken from: http://vmf.geo.tuwien.ac.at/trop_products/GRID/2.5x2/VMF1/VMF1_OP/2009/VMFG_20090812.H00
+ //
+ // Expected mapping factors : hydrostatic -> 3.425088
+ // wet -> 3.448300
+ //
+ // Expected outputs are obtained by performing the Matlab script vmf1_ht.m provided by TU WIEN:
+ // http://vmf.geo.tuwien.ac.at/codes/
+ //
+
+ final AbsoluteDate date = AbsoluteDate.createMJDDate(55055, 0, TimeScalesFactory.getUTC());
+
+ final double latitude = FastMath.toRadians(38.0);
+ final double height = 824.17;
+
+ final double elevation = 0.5 * FastMath.PI - 1.278564131;
+ final double expectedHydro = 3.425088;
+ final double expectedWet = 3.448300;
+
+ final double[] a = { 0.00127683, 0.00060955 };
+ final double[] z = {2.0966, 0.2140};
+
+ final ViennaOneModel model = new ViennaOneModel(a, z, latitude);
+
+ final double[] computedMapping = model.mappingFactors(elevation, height, model.getParameters(), date);
+
+ Assert.assertEquals(expectedHydro, computedMapping[0], 4.1e-6);
+ Assert.assertEquals(expectedWet, computedMapping[1], 1.0e-6);
+ }
+
+ @Test
+ public void testDelay() {
+ final double elevation = 10d;
+ final double height = 100d;
+ final AbsoluteDate date = new AbsoluteDate();
+ final double[] a = { 0.00127683, 0.00060955 };
+ final double[] z = {2.0966, 0.2140};
+ ViennaOneModel model = new ViennaOneModel(a, z, FastMath.toRadians(45.0));
+ final double path = model.pathDelay(FastMath.toRadians(elevation), height, model.getParameters(), date);
+ Assert.assertTrue(Precision.compareTo(path, 20d, epsilon) < 0);
+ Assert.assertTrue(Precision.compareTo(path, 0d, epsilon) > 0);
+ }
+
+ @Test
+ public void testFixedHeight() {
+ final AbsoluteDate date = new AbsoluteDate();
+ final double[] a = { 0.00127683, 0.00060955 };
+ final double[] z = {2.0966, 0.2140};
+ ViennaOneModel model = new ViennaOneModel(a, z, FastMath.toRadians(45.0));
+ double lastDelay = Double.MAX_VALUE;
+ // delay shall decline with increasing elevation angle
+ for (double elev = 10d; elev < 90d; elev += 8d) {
+ final double delay = model.pathDelay(FastMath.toRadians(elev), 350, model.getParameters(), date);
+ Assert.assertTrue(Precision.compareTo(delay, lastDelay, epsilon) < 0);
+ lastDelay = delay;
+ }
+ }
+
+}
diff --git a/src/test/java/org/orekit/models/earth/ViennaThreeModelTest.java b/src/test/java/org/orekit/models/earth/ViennaThreeModelTest.java
new file mode 100644
index 0000000000000000000000000000000000000000..e4cdd203dd5ab693da8ad807132b8cb3590a8a25
--- /dev/null
+++ b/src/test/java/org/orekit/models/earth/ViennaThreeModelTest.java
@@ -0,0 +1,204 @@
+/* Copyright 2002-2019 CS Systèmes d'Information
+ * Licensed to CS Systèmes d'Information (CS) under one or more
+ * contributor license agreements. See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * CS licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License. You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.orekit.models.earth;
+
+import org.hipparchus.util.FastMath;
+import org.hipparchus.util.Precision;
+import org.junit.Assert;
+import org.junit.Before;
+import org.junit.BeforeClass;
+import org.junit.Test;
+import org.orekit.Utils;
+import org.orekit.errors.OrekitException;
+import org.orekit.time.AbsoluteDate;
+import org.orekit.time.TimeScalesFactory;
+
+public class ViennaThreeModelTest {
+
+ private static double epsilon = 1e-6;
+
+ @BeforeClass
+ public static void setUpGlobal() {
+ Utils.setDataRoot("atmosphere");
+ }
+
+ @Before
+ public void setUp() throws OrekitException {
+ Utils.setDataRoot("regular-data:potential/shm-format");
+ }
+
+ @Test
+ public void testMappingFactors() {
+
+ // Site: latitude: 37.5°
+ // longitude: 277.5°
+ // height: 824 m
+ //
+ // Date: 25 November 2018 at 0h UT
+ //
+ // Values: ah = 0.00123462
+ // aw = 0.00047101
+ // zhd = 2.1993 m
+ // zwd = 0.0690 m
+ //
+ // Values taken from: http://vmf.geo.tuwien.ac.at/trop_products/GRID/5x5/VMF3/VMF3_OP/2018/VMF3_20181125.H00
+ //
+ // Expected mapping factors : hydrostatic -> 1.621024
+ // wet -> 1.623023
+ //
+ // Expected outputs are obtained by performing the Matlab script vmf3.m provided by TU WIEN:
+ // http://vmf.geo.tuwien.ac.at/codes/
+ //
+
+ final AbsoluteDate date = new AbsoluteDate(2018, 11, 25, TimeScalesFactory.getUTC());
+
+ final double latitude = FastMath.toRadians(37.5);
+ final double longitude = FastMath.toRadians(277.5);
+ final double height = 824.0;
+
+ final double elevation = FastMath.toRadians(38.0);
+ final double expectedHydro = 1.621024;
+ final double expectedWet = 1.623023;
+
+ final double[] a = {0.00123462, 0.00047101};
+ final double[] z = {2.1993, 0.0690};
+
+ final ViennaThreeModel model = new ViennaThreeModel(a, z, latitude, longitude);
+
+ final double[] computedMapping = model.mappingFactors(elevation, height, model.getParameters(), date);
+
+ Assert.assertEquals(expectedHydro, computedMapping[0], epsilon);
+ Assert.assertEquals(expectedWet, computedMapping[1], epsilon);
+ }
+
+ @Test
+ public void testLowElevation() {
+
+ // Site: latitude: 37.5°
+ // longitude: 277.5°
+ // height: 824 m
+ //
+ // Date: 25 November 2018 at 0h UT
+ //
+ // Values: ah = 0.00123462
+ // aw = 0.00047101
+ // zhd = 2.1993 m
+ // zwd = 0.0690 m
+ //
+ // Values taken from: http://vmf.geo.tuwien.ac.at/trop_products/GRID/5x5/VMF3/VMF3_OP/2018/VMF3_20181125.H00
+ //
+ // Expected mapping factors : hydrostatic -> 10.132802
+ // wet -> 10.879154
+ //
+ // Expected outputs are obtained by performing the Matlab script vmf3.m provided by TU WIEN:
+ // http://vmf.geo.tuwien.ac.at/codes/
+ //
+
+ final AbsoluteDate date = new AbsoluteDate(2018, 11, 25, TimeScalesFactory.getUTC());
+
+ final double latitude = FastMath.toRadians(37.5);
+ final double longitude = FastMath.toRadians(277.5);
+ final double height = 824.0;
+
+ final double elevation = FastMath.toRadians(5.0);
+ final double expectedHydro = 10.132802;
+ final double expectedWet = 10.879154;
+
+ final double[] a = {0.00123462, 0.00047101};
+ final double[] z = {2.1993, 0.0690};
+
+ final ViennaThreeModel model = new ViennaThreeModel(a, z, latitude, longitude);
+
+ final double[] computedMapping = model.mappingFactors(elevation, height, model.getParameters(), date);
+
+ Assert.assertEquals(expectedHydro, computedMapping[0], epsilon);
+ Assert.assertEquals(expectedWet, computedMapping[1], epsilon);
+ }
+
+ @Test
+ public void testHightElevation() {
+
+ // Site: latitude: 37.5°
+ // longitude: 277.5°
+ // height: 824 m
+ //
+ // Date: 25 November 2018 at 0h UT
+ //
+ // Values: ah = 0.00123462
+ // aw = 0.00047101
+ // zhd = 2.1993 m
+ // zwd = 0.0690 m
+ //
+ // Values taken from: http://vmf.geo.tuwien.ac.at/trop_products/GRID/5x5/VMF3/VMF3_OP/2018/VMF3_20181125.H00
+ //
+ // Expected mapping factors : hydrostatic -> 1.003810
+ // wet -> 1.003816
+ //
+ // Expected outputs are obtained by performing the Matlab script vmf3.m provided by TU WIEN:
+ // http://vmf.geo.tuwien.ac.at/codes/
+ //
+
+ final AbsoluteDate date = new AbsoluteDate(2018, 11, 25, TimeScalesFactory.getUTC());
+
+ final double latitude = FastMath.toRadians(37.5);
+ final double longitude = FastMath.toRadians(277.5);
+ final double height = 824.0;
+
+ final double elevation = FastMath.toRadians(85.0);
+ final double expectedHydro = 1.003810;
+ final double expectedWet = 1.003816;
+
+ final double[] a = {0.00123462, 0.00047101};
+ final double[] z = {2.1993, 0.0690};
+
+ final ViennaThreeModel model = new ViennaThreeModel(a, z, latitude, longitude);
+
+ final double[] computedMapping = model.mappingFactors(elevation, height, model.getParameters(), date);
+
+ Assert.assertEquals(expectedHydro, computedMapping[0], epsilon);
+ Assert.assertEquals(expectedWet, computedMapping[1], epsilon);
+ }
+
+ @Test
+ public void testDelay() {
+ final double elevation = 10d;
+ final double height = 100d;
+ final AbsoluteDate date = new AbsoluteDate();
+ final double[] a = { 0.00123462, 0.00047101};
+ final double[] z = {2.1993, 0.0690};
+ ViennaThreeModel model = new ViennaThreeModel(a, z, FastMath.toRadians(37.5), FastMath.toRadians(277.5));
+ final double path = model.pathDelay(FastMath.toRadians(elevation), height, model.getParameters(), date);
+ Assert.assertTrue(Precision.compareTo(path, 20d, epsilon) < 0);
+ Assert.assertTrue(Precision.compareTo(path, 0d, epsilon) > 0);
+ }
+
+ @Test
+ public void testFixedHeight() {
+ final AbsoluteDate date = new AbsoluteDate();
+ final double[] a = { 0.00123462, 0.00047101};
+ final double[] z = {2.1993, 0.0690};
+ ViennaThreeModel model = new ViennaThreeModel(a, z, FastMath.toRadians(37.5), FastMath.toRadians(277.5));
+ double lastDelay = Double.MAX_VALUE;
+ // delay shall decline with increasing elevation angle
+ for (double elev = 10d; elev < 90d; elev += 8d) {
+ final double delay = model.pathDelay(FastMath.toRadians(elev), 350, model.getParameters(), date);
+ Assert.assertTrue(Precision.compareTo(delay, lastDelay, epsilon) < 0);
+ lastDelay = delay;
+ }
+ }
+
+}
diff --git a/src/test/resources/orbit-determination/GNSS/od_test_GPS07.in b/src/test/resources/orbit-determination/GNSS/od_test_GPS07.in
index 581d2bf2ad4002412f8c285c2eff82a0383e1739..b35da65854b43a7e73b3cb9e3bbfc3bd47b9f915 100644
--- a/src/test/resources/orbit-determination/GNSS/od_test_GPS07.in
+++ b/src/test/resources/orbit-determination/GNSS/od_test_GPS07.in
@@ -129,10 +129,10 @@ ground.station.latitude [0] = 41.868362882
ground.station.longitude [0] = -119.015669632
ground.station.altitude [0] = 1458.088101
ground.station.position.estimated [0] = false
-ground.station.clock.offset [0] = 7.0e-9
+ground.station.clock.offset [0] = 9.3e-9
ground.station.clock.offset.min [0] = -0.001
ground.station.clock.offset.max [0] = +0.001
-ground.station.clock.offset.estimated [0] = true
+ground.station.clock.offset.estimated [0] = false
ground.station.range.sigma [0] = 1.0
ground.station.range.bias [0] = 0.0
ground.station.range.bias.min [0] = -1000.0
@@ -153,6 +153,11 @@ ground.station.elevation.bias.min [0] = -0.50
ground.station.elevation.bias.max [0] = +0.50
ground.station.az.el.biases.estimated [0] = true
ground.station.elevation.refraction.correction [0] = true
+ground.station.tropospheric.model.estimated [0] = true
+ground.station.tropospheric.zenith.delay [0] = 2.0
+ground.station.tropospheric.delay.estimated [0] = true
+ground.station.global.mapping.function [0] = false
+ground.station.niell.mapping.function [0] = true
ground.station.range.tropospheric.correction [0] = true
ground.station.name [1] = SHLD/C2
@@ -163,7 +168,7 @@ ground.station.position.estimated [1] = false
ground.station.clock.offset [1] = 0.0
ground.station.clock.offset.min [1] = -0.001
ground.station.clock.offset.max [1] = +0.001
-ground.station.clock.offset.estimated [1] = true
+ground.station.clock.offset.estimated [1] = false
ground.station.range.sigma [1] = 1.0
ground.station.range.bias [1] = 0.0
ground.station.range.bias.min [1] = -1000.0
@@ -184,6 +189,11 @@ ground.station.elevation.bias.min [1] = -0.50
ground.station.elevation.bias.max [1] = +0.50
ground.station.az.el.biases.estimated [1] = true
ground.station.elevation.refraction.correction [1] = true
+ground.station.tropospheric.model.estimated [1] = true
+ground.station.tropospheric.zenith.delay [1] = 2.0
+ground.station.tropospheric.delay.estimated [1] = true
+ground.station.global.mapping.function [1] = false
+ground.station.niell.mapping.function [1] = true
ground.station.range.tropospheric.correction [1] = true
ground.station.name [2] = SHLD/P2
@@ -191,10 +201,10 @@ ground.station.latitude [2] = 41.868362882
ground.station.longitude [2] = -119.015669632
ground.station.altitude [2] = 1458.088101
ground.station.position.estimated [2] = false
-ground.station.clock.offset [2] = 5.0e-8
+ground.station.clock.offset [2] = -3.5e-8
ground.station.clock.offset.min [2] = -0.001
ground.station.clock.offset.max [2] = +0.001
-ground.station.clock.offset.estimated [2] = true
+ground.station.clock.offset.estimated [2] = false
ground.station.range.sigma [2] = 1.0
ground.station.range.bias [2] = 0.0
ground.station.range.bias.min [2] = -1000.0
@@ -215,6 +225,11 @@ ground.station.elevation.bias.min [2] = -0.50
ground.station.elevation.bias.max [2] = +0.50
ground.station.az.el.biases.estimated [2] = true
ground.station.elevation.refraction.correction [2] = true
+ground.station.tropospheric.model.estimated [2] = true
+ground.station.tropospheric.zenith.delay [2] = 2.0
+ground.station.tropospheric.delay.estimated [2] = true
+ground.station.global.mapping.function [2] = false
+ground.station.niell.mapping.function [2] = true
ground.station.range.tropospheric.correction [2] = true
ground.station.name [3] = SEAT/C1
@@ -222,10 +237,10 @@ ground.station.latitude [3] = 47.653972656
ground.station.longitude [3] = -122.309458826
ground.station.altitude [3] = 44.666105
ground.station.position.estimated [3] = false
-ground.station.clock.offset [3] = 3.0e-8
+ground.station.clock.offset [3] = 6.1e-9
ground.station.clock.offset.min [3] = -0.001
ground.station.clock.offset.max [3] = +0.001
-ground.station.clock.offset.estimated [3] = true
+ground.station.clock.offset.estimated [3] = false
ground.station.range.sigma [3] = 1.0
ground.station.range.bias [3] = 0.0
ground.station.range.bias.min [3] = -1000.0
@@ -246,6 +261,11 @@ ground.station.elevation.bias.min [3] = -0.50
ground.station.elevation.bias.max [3] = +0.50
ground.station.az.el.biases.estimated [3] = false
ground.station.elevation.refraction.correction [3] = true
+ground.station.tropospheric.model.estimated [3] = true
+ground.station.tropospheric.zenith.delay [3] = 2.0
+ground.station.tropospheric.delay.estimated [3] = true
+ground.station.global.mapping.function [3] = false
+ground.station.niell.mapping.function [3] = true
ground.station.range.tropospheric.correction [3] = true
ground.station.name [4] = SEAT/C2
@@ -256,7 +276,7 @@ ground.station.position.estimated [4] = false
ground.station.clock.offset [4] = 0.0
ground.station.clock.offset.min [4] = -0.001
ground.station.clock.offset.max [4] = +0.001
-ground.station.clock.offset.estimated [4] = true
+ground.station.clock.offset.estimated [4] = false
ground.station.range.sigma [4] = 1.0
ground.station.range.bias [4] = 0.0
ground.station.range.bias.min [4] = -1000.0
@@ -277,6 +297,11 @@ ground.station.elevation.bias.min [4] = -0.50
ground.station.elevation.bias.max [4] = +0.50
ground.station.az.el.biases.estimated [4] = false
ground.station.elevation.refraction.correction [4] = true
+ground.station.tropospheric.model.estimated [4] = true
+ground.station.tropospheric.zenith.delay [4] = 2.0
+ground.station.tropospheric.delay.estimated [4] = true
+ground.station.global.mapping.function [4] = false
+ground.station.niell.mapping.function [4] = true
ground.station.range.tropospheric.correction [4] = true
ground.station.name [5] = SEAT/P2
@@ -284,10 +309,10 @@ ground.station.latitude [5] = 47.653972656
ground.station.longitude [5] = -122.309458826
ground.station.altitude [5] = 44.666105
ground.station.position.estimated [5] = false
-ground.station.clock.offset [5] = 6.0e-8
+ground.station.clock.offset [5] = -4.2e-8
ground.station.clock.offset.min [5] = -0.001
ground.station.clock.offset.max [5] = +0.001
-ground.station.clock.offset.estimated [5] = true
+ground.station.clock.offset.estimated [5] = false
ground.station.range.sigma [5] = 1.0
ground.station.range.bias [5] = 0.0
ground.station.range.bias.min [5] = -1000.0
@@ -308,6 +333,11 @@ ground.station.elevation.bias.min [5] = -0.50
ground.station.elevation.bias.max [5] = +0.50
ground.station.az.el.biases.estimated [5] = false
ground.station.elevation.refraction.correction [5] = true
+ground.station.tropospheric.model.estimated [5] = true
+ground.station.tropospheric.zenith.delay [5] = 2.0
+ground.station.tropospheric.delay.estimated [5] = true
+ground.station.global.mapping.function [5] = false
+ground.station.niell.mapping.function [5] = true
ground.station.range.tropospheric.correction [5] = true
ground.station.name [6] = SBCH/C1
@@ -315,10 +345,10 @@ ground.station.latitude [6] = 29.868112727
ground.station.longitude [6] = -89.673232869
ground.station.altitude [6] = -14.853146
ground.station.position.estimated [6] = false
-ground.station.clock.offset [6] = 2.0e-8
+ground.station.clock.offset [6] = -8.5e-10
ground.station.clock.offset.min [6] = -0.001
ground.station.clock.offset.max [6] = +0.001
-ground.station.clock.offset.estimated [6] = true
+ground.station.clock.offset.estimated [6] = false
ground.station.range.sigma [6] = 1.0
ground.station.range.bias [6] = 0.0
ground.station.range.bias.min [6] = -1000.0
@@ -339,6 +369,11 @@ ground.station.elevation.bias.min [6] = -0.50
ground.station.elevation.bias.max [6] = +0.50
ground.station.az.el.biases.estimated [6] = false
ground.station.elevation.refraction.correction [6] = true
+ground.station.tropospheric.model.estimated [6] = true
+ground.station.tropospheric.zenith.delay [6] = 2.0
+ground.station.tropospheric.delay.estimated [6] = true
+ground.station.global.mapping.function [6] = false
+ground.station.niell.mapping.function [6] = true
ground.station.range.tropospheric.correction [6] = true
ground.station.name [7] = SBCH/C2
@@ -346,10 +381,10 @@ ground.station.latitude [7] = 29.868112727
ground.station.longitude [7] = -89.673232869
ground.station.altitude [7] = -14.853146
ground.station.position.estimated [7] = false
-ground.station.clock.offset [7] = 1.0e-8
+ground.station.clock.offset [7] = 5.0e-9
ground.station.clock.offset.min [7] = -0.001
ground.station.clock.offset.max [7] = +0.001
-ground.station.clock.offset.estimated [7] = true
+ground.station.clock.offset.estimated [7] = false
ground.station.range.sigma [7] = 1.0
ground.station.range.bias [7] = 0.0
ground.station.range.bias.min [7] = -1000.0
@@ -370,6 +405,11 @@ ground.station.elevation.bias.min [7] = -0.50
ground.station.elevation.bias.max [7] = +0.50
ground.station.az.el.biases.estimated [7] = false
ground.station.elevation.refraction.correction [7] = true
+ground.station.tropospheric.model.estimated [7] = true
+ground.station.tropospheric.zenith.delay [7] = 2.0
+ground.station.tropospheric.delay.estimated [7] = true
+ground.station.global.mapping.function [7] = false
+ground.station.niell.mapping.function [7] = true
ground.station.range.tropospheric.correction [7] = true
ground.station.name [8] = SBCH/P2
@@ -377,10 +417,10 @@ ground.station.latitude [8] = 29.868112727
ground.station.longitude [8] = -89.673232869
ground.station.altitude [8] = -14.853146
ground.station.position.estimated [8] = false
-ground.station.clock.offset [8] = 1.0e-8
+ground.station.clock.offset [8] = 5.2e-9
ground.station.clock.offset.min [8] = -0.001
ground.station.clock.offset.max [8] = +0.001
-ground.station.clock.offset.estimated [8] = true
+ground.station.clock.offset.estimated [8] = false
ground.station.range.sigma [8] = 1.0
ground.station.range.bias [8] = 0.0
ground.station.range.bias.min [8] = -1000.0
@@ -401,6 +441,11 @@ ground.station.elevation.bias.min [8] = -0.50
ground.station.elevation.bias.max [8] = +0.50
ground.station.az.el.biases.estimated [8] = false
ground.station.elevation.refraction.correction [8] = true
+ground.station.tropospheric.model.estimated [8] = true
+ground.station.tropospheric.zenith.delay [8] = 2.0
+ground.station.tropospheric.delay.estimated [8] = true
+ground.station.global.mapping.function [8] = false
+ground.station.niell.mapping.function [8] = true
ground.station.range.tropospheric.correction [8] = true
ground.station.name [9] = BRIG/C1
@@ -408,10 +453,10 @@ ground.station.latitude [9] = 42.520093759
ground.station.longitude [9] = -83.756648765
ground.station.altitude [9] = 262.449442
ground.station.position.estimated [9] = false
-ground.station.clock.offset [9] = 1.0e-8
+ground.station.clock.offset [9] = 1.1e-10
ground.station.clock.offset.min [9] = -0.001
ground.station.clock.offset.max [9] = +0.001
-ground.station.clock.offset.estimated [9] = true
+ground.station.clock.offset.estimated [9] = false
ground.station.range.sigma [9] = 1.0
ground.station.range.bias [9] = 0.0
ground.station.range.bias.min [9] = -1000.0
@@ -432,6 +477,11 @@ ground.station.elevation.bias.min [9] = -0.50
ground.station.elevation.bias.max [9] = +0.50
ground.station.az.el.biases.estimated [9] = false
ground.station.elevation.refraction.correction [9] = true
+ground.station.tropospheric.model.estimated [9] = true
+ground.station.tropospheric.zenith.delay [9] = 2.0
+ground.station.tropospheric.delay.estimated [9] = true
+ground.station.global.mapping.function [9] = false
+ground.station.niell.mapping.function [9] = true
ground.station.range.tropospheric.correction [9] = true
ground.station.name [10] = BRIG/C2
@@ -442,7 +492,7 @@ ground.station.position.estimated [10] = false
ground.station.clock.offset [10] = 0.0
ground.station.clock.offset.min [10] = -0.001
ground.station.clock.offset.max [10] = +0.001
-ground.station.clock.offset.estimated [10] = true
+ground.station.clock.offset.estimated [10] = false
ground.station.range.sigma [10] = 1.0
ground.station.range.bias [10] = 0.0
ground.station.range.bias.min [10] = -1000.0
@@ -463,6 +513,11 @@ ground.station.elevation.bias.min [10] = -0.50
ground.station.elevation.bias.max [10] = +0.50
ground.station.az.el.biases.estimated [10] = false
ground.station.elevation.refraction.correction [10] = true
+ground.station.tropospheric.model.estimated [10] = true
+ground.station.tropospheric.zenith.delay [10] = 2.0
+ground.station.tropospheric.delay.estimated [10] = true
+ground.station.global.mapping.function [10] = false
+ground.station.niell.mapping.function [10] = true
ground.station.range.tropospheric.correction [10] = true
ground.station.name [11] = BRIG/P2
@@ -470,10 +525,10 @@ ground.station.latitude [11] = 42.520093759
ground.station.longitude [11] = -83.756648765
ground.station.altitude [11] = 262.449442
ground.station.position.estimated [11] = false
-ground.station.clock.offset [11] = 4.0e-8
+ground.station.clock.offset [11] = -2.4e-8
ground.station.clock.offset.min [11] = -0.001
ground.station.clock.offset.max [11] = +0.001
-ground.station.clock.offset.estimated [11] = true
+ground.station.clock.offset.estimated [11] = false
ground.station.range.sigma [11] = 1.0
ground.station.range.bias [11] = 0.0
ground.station.range.bias.min [11] = -1000.0
@@ -494,6 +549,11 @@ ground.station.elevation.bias.min [11] = -0.50
ground.station.elevation.bias.max [11] = +0.50
ground.station.az.el.biases.estimated [11] = false
ground.station.elevation.refraction.correction [11] = true
+ground.station.tropospheric.model.estimated [11] = true
+ground.station.tropospheric.zenith.delay [11] = 2.0
+ground.station.tropospheric.delay.estimated [11] = true
+ground.station.global.mapping.function [11] = false
+ground.station.niell.mapping.function [11] = true
ground.station.range.tropospheric.correction [11] = true
ground.station.name [12] = AZBH/C1
@@ -501,10 +561,10 @@ ground.station.latitude [12] = 35.107490239
ground.station.longitude [12] = -114.604973036
ground.station.altitude [12] = 152.410214
ground.station.position.estimated [12] = false
-ground.station.clock.offset [12] = 1.0e-8
+ground.station.clock.offset [12] = 4.7e-9
ground.station.clock.offset.min [12] = -0.001
ground.station.clock.offset.max [12] = +0.001
-ground.station.clock.offset.estimated [12] = true
+ground.station.clock.offset.estimated [12] = false
ground.station.range.sigma [12] = 1.0
ground.station.range.bias [12] = 0.0
ground.station.range.bias.min [12] = -1000.0
@@ -525,6 +585,11 @@ ground.station.elevation.bias.min [12] = -0.50
ground.station.elevation.bias.max [12] = +0.50
ground.station.az.el.biases.estimated [12] = false
ground.station.elevation.refraction.correction [12] = true
+ground.station.tropospheric.model.estimated [12] = true
+ground.station.tropospheric.zenith.delay [12] = 2.0
+ground.station.tropospheric.delay.estimated [12] = true
+ground.station.global.mapping.function [12] = false
+ground.station.niell.mapping.function [12] = true
ground.station.range.tropospheric.correction [12] = true
ground.station.name [13] = AZBH/C2
@@ -535,7 +600,7 @@ ground.station.position.estimated [13] = false
ground.station.clock.offset [13] = 0.0
ground.station.clock.offset.min [13] = -0.001
ground.station.clock.offset.max [13] = +0.001
-ground.station.clock.offset.estimated [13] = true
+ground.station.clock.offset.estimated [13] = false
ground.station.range.sigma [13] = 1.0
ground.station.range.bias [13] = 0.0
ground.station.range.bias.min [13] = -1000.0
@@ -556,6 +621,11 @@ ground.station.elevation.bias.min [13] = -0.50
ground.station.elevation.bias.max [13] = +0.50
ground.station.az.el.biases.estimated [13] = false
ground.station.elevation.refraction.correction [13] = true
+ground.station.tropospheric.model.estimated [13] = true
+ground.station.tropospheric.zenith.delay [13] = 2.0
+ground.station.tropospheric.delay.estimated [13] = true
+ground.station.global.mapping.function [13] = false
+ground.station.niell.mapping.function [13] = true
ground.station.range.tropospheric.correction [13] = true
ground.station.name [14] = AZBH/P2
@@ -563,10 +633,10 @@ ground.station.latitude [14] = 35.107490239
ground.station.longitude [14] = -114.604973036
ground.station.altitude [14] = 152.410214
ground.station.position.estimated [14] = false
-ground.station.clock.offset [14] = 2.0e-8
+ground.station.clock.offset [14] = -2.7e-9
ground.station.clock.offset.min [14] = -0.001
ground.station.clock.offset.max [14] = +0.001
-ground.station.clock.offset.estimated [14] = true
+ground.station.clock.offset.estimated [14] = false
ground.station.range.sigma [14] = 1.0
ground.station.range.bias [14] = 0.0
ground.station.range.bias.min [14] = -1000.0
@@ -587,6 +657,11 @@ ground.station.elevation.bias.min [14] = -0.50
ground.station.elevation.bias.max [14] = +0.50
ground.station.az.el.biases.estimated [14] = false
ground.station.elevation.refraction.correction [14] = true
+ground.station.tropospheric.model.estimated [14] = true
+ground.station.tropospheric.zenith.delay [14] = 2.0
+ground.station.tropospheric.delay.estimated [14] = true
+ground.station.global.mapping.function [14] = false
+ground.station.niell.mapping.function [14] = true
ground.station.range.tropospheric.correction [14] = true
### Measurements parameters
diff --git a/src/test/resources/orbit-determination/Lageos2/od_test_Lageos2.in b/src/test/resources/orbit-determination/Lageos2/od_test_Lageos2.in
index 9b7d3f493953bb7073db36fc12be485362fa5f82..484e24d678e20c2d2738fc7b8734fa16d65a1b1d 100644
--- a/src/test/resources/orbit-determination/Lageos2/od_test_Lageos2.in
+++ b/src/test/resources/orbit-determination/Lageos2/od_test_Lageos2.in
@@ -166,6 +166,11 @@ ground.station.elevation.bias.min [0] = -0.50
ground.station.elevation.bias.max [0] = +0.50
ground.station.az.el.biases.estimated [0] = true
ground.station.elevation.refraction.correction [0] = true
+ground.station.tropospheric.model.estimated [0] = false
+ground.station.tropospheric.zenith.delay [0] = 2.0
+ground.station.tropospheric.delay.estimated [0] = false
+ground.station.global.mapping.function [0] = false
+ground.station.niell.mapping.function [0] = false
ground.station.range.tropospheric.correction [0] = true
ground.station.name [1] = GODL
@@ -197,9 +202,13 @@ ground.station.elevation.bias.min [1] = -0.50
ground.station.elevation.bias.max [1] = +0.50
ground.station.az.el.biases.estimated [1] = false
ground.station.elevation.refraction.correction [1] = true
+ground.station.tropospheric.model.estimated [1] = false
+ground.station.tropospheric.zenith.delay [1] = 2.0
+ground.station.tropospheric.delay.estimated [1] = false
+ground.station.global.mapping.function [1] = false
+ground.station.niell.mapping.function [1] = false
ground.station.range.tropospheric.correction [1] = true
-
ground.station.name [2] = HA4T
ground.station.latitude [2] = 20.706489
ground.station.longitude [2] = 203.743079
@@ -229,6 +238,11 @@ ground.station.elevation.bias.min [2] = -0.50
ground.station.elevation.bias.max [2] = +0.50
ground.station.az.el.biases.estimated [2] = false
ground.station.elevation.refraction.correction [2] = true
+ground.station.tropospheric.model.estimated [2] = false
+ground.station.tropospheric.zenith.delay [2] = 2.0
+ground.station.tropospheric.delay.estimated [2] = false
+ground.station.global.mapping.function [2] = false
+ground.station.niell.mapping.function [2] = false
ground.station.range.tropospheric.correction [2] = true
ground.station.name [3] = SISL
@@ -260,6 +274,11 @@ ground.station.elevation.bias.min [3] = -0.50
ground.station.elevation.bias.max [3] = +0.50
ground.station.az.el.biases.estimated [3] = false
ground.station.elevation.refraction.correction [3] = true
+ground.station.tropospheric.model.estimated [3] = false
+ground.station.tropospheric.zenith.delay [3] = 2.0
+ground.station.tropospheric.delay.estimated [3] = false
+ground.station.global.mapping.function [3] = false
+ground.station.niell.mapping.function [3] = false
ground.station.range.tropospheric.correction [3] = true
diff --git a/src/test/resources/orbit-determination/W3B/od_test_W3.in b/src/test/resources/orbit-determination/W3B/od_test_W3.in
index 7fed8b50c7cca18cc55001fb80ed9d1b52e44393..5c89c9e222a8efe200569a66f36c0a78f0d2aca3 100644
--- a/src/test/resources/orbit-determination/W3B/od_test_W3.in
+++ b/src/test/resources/orbit-determination/W3B/od_test_W3.in
@@ -222,6 +222,11 @@ ground.station.elevation.bias.min [0] = -0.50
ground.station.elevation.bias.max [0] = +0.50
ground.station.az.el.biases.estimated [0] = true
ground.station.elevation.refraction.correction [0] = true
+ground.station.tropospheric.model.estimated [0] = false
+ground.station.tropospheric.zenith.delay [0] = 2.0
+ground.station.tropospheric.delay.estimated [0] = false
+ground.station.global.mapping.function [0] = false
+ground.station.niell.mapping.function [0] = false
ground.station.range.tropospheric.correction [0] = true
ground.station.name [1] = Kumsan
@@ -253,6 +258,11 @@ ground.station.elevation.bias.min [1] = -0.50
ground.station.elevation.bias.max [1] = +0.50
ground.station.az.el.biases.estimated [1] = true
ground.station.elevation.refraction.correction [1] = true
+ground.station.tropospheric.model.estimated [1] = false
+ground.station.tropospheric.zenith.delay [1] = 2.0
+ground.station.tropospheric.delay.estimated [1] = false
+ground.station.global.mapping.function [1] = false
+ground.station.niell.mapping.function [1] = false
ground.station.range.tropospheric.correction [1] = true
ground.station.name [2] = Uralla
@@ -284,6 +294,11 @@ ground.station.elevation.bias.min [2] = -0.50
ground.station.elevation.bias.max [2] = +0.50
ground.station.az.el.biases.estimated [2] = true
ground.station.elevation.refraction.correction [2] = true
+ground.station.tropospheric.model.estimated [2] = false
+ground.station.tropospheric.zenith.delay [2] = 2.0
+ground.station.tropospheric.delay.estimated [2] = false
+ground.station.global.mapping.function [2] = false
+ground.station.niell.mapping.function [2] = false
ground.station.range.tropospheric.correction [2] = true
ground.station.name [3] = Pretoria
@@ -315,6 +330,11 @@ ground.station.elevation.bias.min [3] = -0.50
ground.station.elevation.bias.max [3] = +0.50
ground.station.az.el.biases.estimated [3] = true
ground.station.elevation.refraction.correction [3] = true
+ground.station.tropospheric.model.estimated [3] = false
+ground.station.tropospheric.zenith.delay [3] = 2.0
+ground.station.tropospheric.delay.estimated [3] = false
+ground.station.global.mapping.function [3] = false
+ground.station.niell.mapping.function [3] = false
ground.station.range.tropospheric.correction [3] = true
ground.station.name [4] = CastleRock
@@ -346,6 +366,11 @@ ground.station.elevation.bias.min [4] = -0.50
ground.station.elevation.bias.max [4] = +0.50
ground.station.az.el.biases.estimated [4] = true
ground.station.elevation.refraction.correction [4] = true
+ground.station.tropospheric.model.estimated [4] = false
+ground.station.tropospheric.zenith.delay [4] = 2.0
+ground.station.tropospheric.delay.estimated [4] = false
+ground.station.global.mapping.function [4] = false
+ground.station.niell.mapping.function [4] = false
ground.station.range.tropospheric.correction [4] = true
### Measurements parameters
diff --git a/src/test/resources/vmf1-tropospheric-coefficients/VMFG_20181119.H18 b/src/test/resources/vmf1-tropospheric-coefficients/VMFG_20181119.H18
new file mode 100644
index 0000000000000000000000000000000000000000..b983e7f90aacdf11dcb00750c55715e28fe14893
--- /dev/null
+++ b/src/test/resources/vmf1-tropospheric-coefficients/VMFG_20181119.H18
@@ -0,0 +1,13111 @@
+! Version: 1.0
+! Source: J. Boehm, TU Vienna (created: 2018-11-20)
+! Data_types: VMF1 (lat lon ah aw zhd zwd)
+! Epoch: 2018 11 19 18 00 0.0
+! Scale_factor: 1.e+00
+! Range/resolution: -90 90 0 360 2 2.5
+! Comment: http://ggosatm.hg.tuwien.ac.at/DELAY/GRID/VMFG/
+ 90.0 0.0 0.00116059 0.00055318 2.3043 0.0096
+ 90.0 2.5 0.00116059 0.00055318 2.3043 0.0096
+ 90.0 5.0 0.00116059 0.00055318 2.3043 0.0096
+ 90.0 7.5 0.00116059 0.00055318 2.3043 0.0096
+ 90.0 10.0 0.00116059 0.00055318 2.3043 0.0096
+ 90.0 12.5 0.00116059 0.00055318 2.3043 0.0096
+ 90.0 15.0 0.00116059 0.00055318 2.3043 0.0096
+ 90.0 17.5 0.00116059 0.00055318 2.3043 0.0096
+ 90.0 20.0 0.00116059 0.00055318 2.3043 0.0096
+ 90.0 22.5 0.00116059 0.00055318 2.3043 0.0096
+ 90.0 25.0 0.00116059 0.00055318 2.3043 0.0096
+ 90.0 27.5 0.00116059 0.00055318 2.3043 0.0096
+ 90.0 30.0 0.00116059 0.00055318 2.3043 0.0096
+ 90.0 32.5 0.00116059 0.00055318 2.3043 0.0096
+ 90.0 35.0 0.00116059 0.00055318 2.3043 0.0096
+ 90.0 37.5 0.00116059 0.00055318 2.3043 0.0096
+ 90.0 40.0 0.00116059 0.00055318 2.3043 0.0096
+ 90.0 42.5 0.00116059 0.00055318 2.3043 0.0096
+ 90.0 45.0 0.00116059 0.00055318 2.3043 0.0096
+ 90.0 47.5 0.00116059 0.00055318 2.3043 0.0096
+ 90.0 50.0 0.00116059 0.00055318 2.3043 0.0096
+ 90.0 52.5 0.00116059 0.00055318 2.3043 0.0096
+ 90.0 55.0 0.00116059 0.00055318 2.3043 0.0096
+ 90.0 57.5 0.00116059 0.00055318 2.3043 0.0096
+ 90.0 60.0 0.00116059 0.00055318 2.3043 0.0096
+ 90.0 62.5 0.00116059 0.00055318 2.3043 0.0096
+ 90.0 65.0 0.00116059 0.00055318 2.3043 0.0096
+ 90.0 67.5 0.00116059 0.00055318 2.3043 0.0096
+ 90.0 70.0 0.00116059 0.00055318 2.3043 0.0096
+ 90.0 72.5 0.00116059 0.00055318 2.3043 0.0096
+ 90.0 75.0 0.00116059 0.00055318 2.3043 0.0096
+ 90.0 77.5 0.00116059 0.00055318 2.3043 0.0096
+ 90.0 80.0 0.00116059 0.00055318 2.3043 0.0096
+ 90.0 82.5 0.00116059 0.00055318 2.3043 0.0096
+ 90.0 85.0 0.00116059 0.00055318 2.3043 0.0096
+ 90.0 87.5 0.00116059 0.00055318 2.3043 0.0096
+ 90.0 90.0 0.00116059 0.00055318 2.3043 0.0096
+ 90.0 92.5 0.00116059 0.00055318 2.3043 0.0096
+ 90.0 95.0 0.00116059 0.00055318 2.3043 0.0096
+ 90.0 97.5 0.00116059 0.00055318 2.3043 0.0096
+ 90.0 100.0 0.00116059 0.00055318 2.3043 0.0096
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diff --git a/src/test/resources/vmf1-tropospheric-coefficients/corrupted-bad-data-VMFG_20181119.H18 b/src/test/resources/vmf1-tropospheric-coefficients/corrupted-bad-data-VMFG_20181119.H18
new file mode 100644
index 0000000000000000000000000000000000000000..bdc6b737f29b807bf8e38d6383d7fba4edb42d80
--- /dev/null
+++ b/src/test/resources/vmf1-tropospheric-coefficients/corrupted-bad-data-VMFG_20181119.H18
@@ -0,0 +1,13111 @@
+! Version: 1.0
+! Source: J. Boehm, TU Vienna (created: 2018-11-20)
+! Data_types: VMF1 (lat lon ah aw zhd zwd)
+! Epoch: 2018 11 19 18 00 0.0
+! Scale_factor: 1.e+00
+! Range/resolution: -90 90 0 360 2 2.5
+! Comment: http://ggosatm.hg.tuwien.ac.at/DELAY/GRID/VMFG/
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diff --git a/src/test/resources/vmf1-tropospheric-coefficients/corrupted-bad-keyword-VMFG_20181119.H18 b/src/test/resources/vmf1-tropospheric-coefficients/corrupted-bad-keyword-VMFG_20181119.H18
new file mode 100644
index 0000000000000000000000000000000000000000..bbecc4626a903b20b340c71f88ef4feb68168add
--- /dev/null
+++ b/src/test/resources/vmf1-tropospheric-coefficients/corrupted-bad-keyword-VMFG_20181119.H18
@@ -0,0 +1,13111 @@
+! Version: 1.0
+! Source: J. Boehm, TU Vienna (created: 2018-11-20)
+! Data_types: VMF1 (lat lon ah aw zhd zwd)
+! Epoch: 2018 11 19 18 00 0.0
+! Scale_factor: 1.e+00
+! Range/resolution: -90 90 0 360 2 2.5
+! Comment: http://ggosatm.hg.tuwien.ac.at/DELAY/GRID/VMFG/
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diff --git a/src/test/resources/vmf3-1x1-tropospheric-coefficients/VMF3_20181125.H00 b/src/test/resources/vmf3-1x1-tropospheric-coefficients/VMF3_20181125.H00
new file mode 100644
index 0000000000000000000000000000000000000000..28d0b45f15cb7764b7ab91386def6b85839f73f2
--- /dev/null
+++ b/src/test/resources/vmf3-1x1-tropospheric-coefficients/VMF3_20181125.H00
@@ -0,0 +1,64807 @@
+! Version: 1.0
+! Source: D. Landskron, TU Vienna (created: 2018-11-26)
+! Data_types: VMF3 (lat lon ah aw zhd zwd)
+! Epoch: 2018 11 25 00 00 0.0
+! Scale_factor: 1.e+00
+! Range/resolution: -89.5 89.5 0.5 359.5 1 1
+! Comment: vmf.geo.tuwien.ac.at/trop_products/GRID/1x1/VMF3/VMF3_OP/2018/
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diff --git a/src/test/resources/vmf3-5x5-tropospheric-coefficients/VMF3_20181125.H00 b/src/test/resources/vmf3-5x5-tropospheric-coefficients/VMF3_20181125.H00
new file mode 100644
index 0000000000000000000000000000000000000000..59966e74662dea187b5ee02a25c5bf652c218263
--- /dev/null
+++ b/src/test/resources/vmf3-5x5-tropospheric-coefficients/VMF3_20181125.H00
@@ -0,0 +1,2599 @@
+! Version: 1.0
+! Source: D. Landskron, TU Vienna (created: 2018-11-26)
+! Data_types: VMF3 (lat lon ah aw zhd zwd)
+! Epoch: 2018 11 25 00 00 0.0
+! Scale_factor: 1.e+00
+! Range/resolution: -87.5 87.5 2.5 357.5 5 5
+! Comment: vmf.geo.tuwien.ac.at/trop_products/GRID/5x5/VMF3/VMF3_OP/2018/
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+-77.5 187.5 0.00117689 0.00056780 2.2109 0.0177
+-77.5 192.5 0.00117405 0.00054581 2.2046 0.0172
+-77.5 197.5 0.00117248 0.00048127 2.1995 0.0167
+-77.5 202.5 0.00117292 0.00061766 2.1604 0.0163
+-77.5 207.5 0.00117178 0.00054134 2.0954 0.0160
+-77.5 212.5 0.00116927 0.00046971 2.1128 0.0143
+-77.5 217.5 0.00116433 0.00046355 1.9364 0.0105
+-77.5 222.5 0.00116413 0.00043370 1.8372 0.0091
+-77.5 227.5 0.00116220 0.00048518 1.7499 0.0097
+-77.5 232.5 0.00116345 0.00044300 1.7402 0.0101
+-77.5 237.5 0.00116234 0.00046418 1.7432 0.0102
+-77.5 242.5 0.00116170 0.00046072 1.7806 0.0117
+-77.5 247.5 0.00116235 0.00044853 1.8548 0.0144
+-77.5 252.5 0.00116162 0.00048627 1.8517 0.0144
+-77.5 257.5 0.00116207 0.00043538 1.8500 0.0139
+-77.5 262.5 0.00116142 0.00051576 1.8344 0.0142
+-77.5 267.5 0.00116264 0.00045724 1.8276 0.0134
+-77.5 272.5 0.00116194 0.00049850 1.8046 0.0126
+-77.5 277.5 0.00116473 0.00054089 2.2098 0.0271
+-77.5 282.5 0.00116532 0.00050857 2.1686 0.0273
+-77.5 287.5 0.00116731 0.00054084 2.1642 0.0302
+-77.5 292.5 0.00117063 0.00048397 2.2207 0.0329
+-77.5 297.5 0.00117128 0.00051452 2.2243 0.0367
+-77.5 302.5 0.00117181 0.00059140 2.2256 0.0393
+-77.5 307.5 0.00117308 0.00055187 2.2277 0.0357
+-77.5 312.5 0.00117369 0.00054228 2.2053 0.0335
+-77.5 317.5 0.00117616 0.00053377 2.2305 0.0368
+-77.5 322.5 0.00117627 0.00055969 2.2300 0.0346
+-77.5 327.5 0.00117824 0.00057240 2.1206 0.0271
+-77.5 332.5 0.00117557 0.00053936 1.9813 0.0207
+-77.5 337.5 0.00117540 0.00048780 1.8056 0.0149
+-77.5 342.5 0.00117401 0.00049116 1.6735 0.0115
+-77.5 347.5 0.00117373 0.00045493 1.5581 0.0082
+-77.5 352.5 0.00117483 0.00044972 1.5446 0.0077
+-77.5 357.5 0.00117243 0.00042149 1.5480 0.0062
+-82.5 2.5 0.00116772 0.00047722 1.5617 0.0050
+-82.5 7.5 0.00116418 0.00044452 1.5136 0.0050
+-82.5 12.5 0.00116267 0.00038705 1.4889 0.0050
+-82.5 17.5 0.00116216 0.00038950 1.4785 0.0050
+-82.5 22.5 0.00115901 0.00046436 1.4596 0.0050
+-82.5 27.5 0.00115786 0.00031749 1.4476 0.0050
+-82.5 32.5 0.00115778 0.00048995 1.4239 0.0050
+-82.5 37.5 0.00115498 0.00049361 1.4098 0.0050
+-82.5 42.5 0.00115377 0.00062752 1.3932 0.0050
+-82.5 47.5 0.00115516 0.00045211 1.3949 0.0050
+-82.5 52.5 0.00115470 0.00043225 1.3870 0.0050
+-82.5 57.5 0.00115169 0.00055518 1.3769 0.0050
+-82.5 62.5 0.00115294 0.00040365 1.3751 0.0050
+-82.5 67.5 0.00115820 0.00049666 1.3432 0.0050
+-82.5 72.5 0.00115885 0.00056524 1.3570 0.0050
+-82.5 77.5 0.00115816 0.00053029 1.3762 0.0050
+-82.5 82.5 0.00115971 0.00040490 1.3996 0.0050
+-82.5 87.5 0.00116215 0.00065834 1.3972 0.0050
+-82.5 92.5 0.00116319 0.00051993 1.4423 0.0050
+-82.5 97.5 0.00116419 0.00048796 1.4589 0.0056
+-82.5 102.5 0.00116524 0.00055014 1.4751 0.0064
+-82.5 107.5 0.00116637 0.00049139 1.4792 0.0061
+-82.5 112.5 0.00116824 0.00044380 1.5091 0.0062
+-82.5 117.5 0.00116970 0.00040923 1.5174 0.0057
+-82.5 122.5 0.00116945 0.00044346 1.5458 0.0061
+-82.5 127.5 0.00116966 0.00050034 1.5726 0.0070
+-82.5 132.5 0.00117101 0.00050625 1.5910 0.0074
+-82.5 137.5 0.00117296 0.00052424 1.6309 0.0075
+-82.5 142.5 0.00117475 0.00052901 1.6461 0.0068
+-82.5 147.5 0.00117538 0.00040976 1.6713 0.0056
+-82.5 152.5 0.00117653 0.00051053 1.6888 0.0050
+-82.5 157.5 0.00117678 0.00047256 1.7565 0.0050
+-82.5 162.5 0.00117594 0.00048121 1.9231 0.0070
+-82.5 167.5 0.00117842 0.00049124 2.1270 0.0101
+-82.5 172.5 0.00117752 0.00041712 2.2263 0.0114
+-82.5 177.5 0.00117277 0.00062015 2.2244 0.0126
+-82.5 182.5 0.00117174 0.00049654 2.2225 0.0131
+-82.5 187.5 0.00117140 0.00056642 2.2193 0.0134
+-82.5 192.5 0.00116777 0.00047045 2.2139 0.0140
+-82.5 197.5 0.00116350 0.00062058 2.2079 0.0168
+-82.5 202.5 0.00116032 0.00038460 2.2016 0.0141
+-82.5 207.5 0.00116090 0.00030114 2.1136 0.0113
+-82.5 212.5 0.00116554 0.00050586 2.0969 0.0115
+-82.5 217.5 0.00116784 0.00046629 2.0834 0.0120
+-82.5 222.5 0.00116872 0.00063185 2.0488 0.0131
+-82.5 227.5 0.00117025 0.00053253 2.0363 0.0135
+-82.5 232.5 0.00116942 0.00056079 2.0048 0.0136
+-82.5 237.5 0.00116809 0.00052262 1.9935 0.0137
+-82.5 242.5 0.00116652 0.00051678 1.8688 0.0110
+-82.5 247.5 0.00116433 0.00053325 1.8154 0.0112
+-82.5 252.5 0.00116234 0.00052343 1.7097 0.0090
+-82.5 257.5 0.00116100 0.00043470 1.6545 0.0078
+-82.5 262.5 0.00116013 0.00044201 1.6849 0.0091
+-82.5 267.5 0.00116030 0.00040354 1.6963 0.0097
+-82.5 272.5 0.00116042 0.00046551 1.7996 0.0128
+-82.5 277.5 0.00116100 0.00049235 1.9556 0.0186
+-82.5 282.5 0.00116190 0.00052229 2.0681 0.0233
+-82.5 287.5 0.00116281 0.00048831 2.1108 0.0252
+-82.5 292.5 0.00116489 0.00046533 2.1629 0.0279
+-82.5 297.5 0.00116707 0.00053223 2.1777 0.0283
+-82.5 302.5 0.00116878 0.00047279 2.1592 0.0255
+-82.5 307.5 0.00116965 0.00061858 1.9981 0.0211
+-82.5 312.5 0.00117242 0.00060993 2.0885 0.0221
+-82.5 317.5 0.00117220 0.00052785 2.0366 0.0177
+-82.5 322.5 0.00117119 0.00059603 1.9118 0.0138
+-82.5 327.5 0.00117166 0.00062407 1.8560 0.0114
+-82.5 332.5 0.00117164 0.00055003 1.8248 0.0090
+-82.5 337.5 0.00117148 0.00054743 1.7058 0.0062
+-82.5 342.5 0.00117111 0.00048322 1.6175 0.0050
+-82.5 347.5 0.00117088 0.00057380 1.5565 0.0050
+-82.5 352.5 0.00116920 0.00049092 1.5482 0.0050
+-82.5 357.5 0.00116840 0.00039297 1.5724 0.0050
+-87.5 2.5 0.00116536 0.00053638 1.5794 0.0050
+-87.5 7.5 0.00116587 0.00056001 1.5808 0.0050
+-87.5 12.5 0.00116691 0.00058065 1.5527 0.0050
+-87.5 17.5 0.00116713 0.00060351 1.5542 0.0050
+-87.5 22.5 0.00116717 0.00060193 1.5502 0.0050
+-87.5 27.5 0.00116682 0.00061443 1.5560 0.0050
+-87.5 32.5 0.00116672 0.00062118 1.5405 0.0050
+-87.5 37.5 0.00116627 0.00057053 1.5416 0.0050
+-87.5 42.5 0.00116604 0.00057317 1.5260 0.0050
+-87.5 47.5 0.00116556 0.00059400 1.5251 0.0050
+-87.5 52.5 0.00116512 0.00061772 1.5278 0.0050
+-87.5 57.5 0.00116480 0.00065440 1.5219 0.0050
+-87.5 62.5 0.00116442 0.00061301 1.5222 0.0050
+-87.5 67.5 0.00116412 0.00055291 1.5206 0.0050
+-87.5 72.5 0.00116397 0.00060676 1.5262 0.0050
+-87.5 77.5 0.00116429 0.00061082 1.5206 0.0050
+-87.5 82.5 0.00116473 0.00050140 1.5261 0.0050
+-87.5 87.5 0.00116539 0.00049843 1.5223 0.0050
+-87.5 92.5 0.00116601 0.00053606 1.5221 0.0050
+-87.5 97.5 0.00116656 0.00055099 1.5197 0.0052
+-87.5 102.5 0.00116687 0.00050708 1.5245 0.0053
+-87.5 107.5 0.00116719 0.00045937 1.5186 0.0052
+-87.5 112.5 0.00116737 0.00046723 1.5230 0.0053
+-87.5 117.5 0.00116758 0.00050992 1.5235 0.0054
+-87.5 122.5 0.00116762 0.00053521 1.5319 0.0054
+-87.5 127.5 0.00116763 0.00054188 1.5305 0.0052
+-87.5 132.5 0.00116738 0.00047354 1.5309 0.0050
+-87.5 137.5 0.00116701 0.00041536 1.5296 0.0050
+-87.5 142.5 0.00116668 0.00041470 1.5247 0.0050
+-87.5 147.5 0.00116641 0.00041435 1.5236 0.0050
+-87.5 152.5 0.00116629 0.00036678 1.5206 0.0050
+-87.5 157.5 0.00116627 0.00042562 1.5196 0.0050
+-87.5 162.5 0.00116633 0.00052847 1.5242 0.0050
+-87.5 167.5 0.00116648 0.00048048 1.5230 0.0050
+-87.5 172.5 0.00116677 0.00040529 1.5195 0.0050
+-87.5 177.5 0.00116708 0.00051683 1.5105 0.0050
+-87.5 182.5 0.00116736 0.00063754 1.5005 0.0050
+-87.5 187.5 0.00116729 0.00030128 1.5031 0.0050
+-87.5 192.5 0.00116686 0.00050965 1.5105 0.0050
+-87.5 197.5 0.00116602 0.00028838 1.5352 0.0050
+-87.5 202.5 0.00116533 0.00026724 1.5462 0.0050
+-87.5 207.5 0.00116460 0.00062680 1.5754 0.0050
+-87.5 212.5 0.00116398 0.00061139 1.6053 0.0050
+-87.5 217.5 0.00116337 0.00036482 1.6267 0.0050
+-87.5 222.5 0.00116253 0.00043882 1.6474 0.0050
+-87.5 227.5 0.00116175 0.00049504 1.6483 0.0050
+-87.5 232.5 0.00116127 0.00048394 1.6442 0.0050
+-87.5 237.5 0.00116129 0.00046125 1.6442 0.0050
+-87.5 242.5 0.00116179 0.00046469 1.6498 0.0050
+-87.5 247.5 0.00116261 0.00043903 1.6504 0.0050
+-87.5 252.5 0.00116333 0.00045759 1.6448 0.0050
+-87.5 257.5 0.00116347 0.00048324 1.6447 0.0050
+-87.5 262.5 0.00116310 0.00053233 1.6521 0.0050
+-87.5 267.5 0.00116278 0.00058856 1.6544 0.0050
+-87.5 272.5 0.00116273 0.00051195 1.6834 0.0050
+-87.5 277.5 0.00116320 0.00042028 1.6911 0.0050
+-87.5 282.5 0.00116369 0.00045439 1.7073 0.0050
+-87.5 287.5 0.00116406 0.00057150 1.7076 0.0050
+-87.5 292.5 0.00116437 0.00053032 1.6814 0.0050
+-87.5 297.5 0.00116455 0.00044447 1.6451 0.0050
+-87.5 302.5 0.00116435 0.00036223 1.6357 0.0050
+-87.5 307.5 0.00116426 0.00027621 1.6362 0.0050
+-87.5 312.5 0.00116456 0.00030973 1.6331 0.0050
+-87.5 317.5 0.00116498 0.00056248 1.6429 0.0050
+-87.5 322.5 0.00116579 0.00046732 1.6315 0.0050
+-87.5 327.5 0.00116630 0.00041946 1.6321 0.0050
+-87.5 332.5 0.00116673 0.00045219 1.6081 0.0050
+-87.5 337.5 0.00116656 0.00056818 1.5979 0.0050
+-87.5 342.5 0.00116599 0.00045740 1.5940 0.0050
+-87.5 347.5 0.00116541 0.00051044 1.5876 0.0050
+-87.5 352.5 0.00116501 0.00062274 1.5849 0.0050
+-87.5 357.5 0.00116488 0.00051032 1.5880 0.0050
diff --git a/src/tutorials/java/fr/cs/examples/estimation/OrbitDetermination.java b/src/tutorials/java/fr/cs/examples/estimation/OrbitDetermination.java
index 85e114bd2001c3c2d0b367f73bd79e83f4f345df..def0561f3838dc88713e8fd48220daaa2dad4f01 100644
--- a/src/tutorials/java/fr/cs/examples/estimation/OrbitDetermination.java
+++ b/src/tutorials/java/fr/cs/examples/estimation/OrbitDetermination.java
@@ -109,10 +109,15 @@ import org.orekit.gnss.ObservationDataSet;
import org.orekit.gnss.RinexLoader;
import org.orekit.gnss.SatelliteSystem;
import org.orekit.models.AtmosphericRefractionModel;
+import org.orekit.models.earth.DiscreteTroposphericModel;
import org.orekit.models.earth.EarthITU453AtmosphereRefraction;
+import org.orekit.models.earth.EstimatedTroposphericModel;
+import org.orekit.models.earth.GlobalMappingFunctionModel;
import org.orekit.models.earth.IonosphericModel;
import org.orekit.models.earth.KlobucharIonoCoefficientsLoader;
import org.orekit.models.earth.KlobucharIonoModel;
+import org.orekit.models.earth.MappingFunction;
+import org.orekit.models.earth.NiellMappingFunctionModel;
import org.orekit.models.earth.SaastamoinenModel;
import org.orekit.models.earth.displacement.OceanLoading;
import org.orekit.models.earth.displacement.OceanLoadingCoefficientsBLQFactory;
@@ -929,36 +934,41 @@ public class OrbitDetermination {
final Map<String, StationData> stations = new HashMap<String, StationData>();
- final String[] stationNames = parser.getStringArray(ParameterKey.GROUND_STATION_NAME);
- final double[] stationLatitudes = parser.getAngleArray(ParameterKey.GROUND_STATION_LATITUDE);
- final double[] stationLongitudes = parser.getAngleArray(ParameterKey.GROUND_STATION_LONGITUDE);
- final double[] stationAltitudes = parser.getDoubleArray(ParameterKey.GROUND_STATION_ALTITUDE);
- final double[] stationClockOffsets = parser.getDoubleArray(ParameterKey.GROUND_STATION_CLOCK_OFFSET);
- final double[] stationClockOffsetsMin = parser.getDoubleArray(ParameterKey.GROUND_STATION_CLOCK_OFFSET_MIN);
- final double[] stationClockOffsetsMax = parser.getDoubleArray(ParameterKey.GROUND_STATION_CLOCK_OFFSET_MAX);
- final boolean[] stationClockOffsetEstimated = parser.getBooleanArray(ParameterKey.GROUND_STATION_CLOCK_OFFSET_ESTIMATED);
- final boolean[] stationPositionEstimated = parser.getBooleanArray(ParameterKey.GROUND_STATION_POSITION_ESTIMATED);
- final double[] stationRangeSigma = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_SIGMA);
- final double[] stationRangeBias = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_BIAS);
- final double[] stationRangeBiasMin = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_BIAS_MIN);
- final double[] stationRangeBiasMax = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_BIAS_MAX);
- final boolean[] stationRangeBiasEstimated = parser.getBooleanArray(ParameterKey.GROUND_STATION_RANGE_BIAS_ESTIMATED);
- final double[] stationRangeRateSigma = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_RATE_SIGMA);
- final double[] stationRangeRateBias = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_RATE_BIAS);
- final double[] stationRangeRateBiasMin = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_RATE_BIAS_MIN);
- final double[] stationRangeRateBiasMax = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_RATE_BIAS_MAX);
- final boolean[] stationRangeRateBiasEstimated = parser.getBooleanArray(ParameterKey.GROUND_STATION_RANGE_RATE_BIAS_ESTIMATED);
- final double[] stationAzimuthSigma = parser.getAngleArray(ParameterKey.GROUND_STATION_AZIMUTH_SIGMA);
- final double[] stationAzimuthBias = parser.getAngleArray(ParameterKey.GROUND_STATION_AZIMUTH_BIAS);
- final double[] stationAzimuthBiasMin = parser.getAngleArray(ParameterKey.GROUND_STATION_AZIMUTH_BIAS_MIN);
- final double[] stationAzimuthBiasMax = parser.getAngleArray(ParameterKey.GROUND_STATION_AZIMUTH_BIAS_MAX);
- final double[] stationElevationSigma = parser.getAngleArray(ParameterKey.GROUND_STATION_ELEVATION_SIGMA);
- final double[] stationElevationBias = parser.getAngleArray(ParameterKey.GROUND_STATION_ELEVATION_BIAS);
- final double[] stationElevationBiasMin = parser.getAngleArray(ParameterKey.GROUND_STATION_ELEVATION_BIAS_MIN);
- final double[] stationElevationBiasMax = parser.getAngleArray(ParameterKey.GROUND_STATION_ELEVATION_BIAS_MAX);
- final boolean[] stationAzElBiasesEstimated = parser.getBooleanArray(ParameterKey.GROUND_STATION_AZ_EL_BIASES_ESTIMATED);
- final boolean[] stationElevationRefraction = parser.getBooleanArray(ParameterKey.GROUND_STATION_ELEVATION_REFRACTION_CORRECTION);
- final boolean[] stationRangeTropospheric = parser.getBooleanArray(ParameterKey.GROUND_STATION_RANGE_TROPOSPHERIC_CORRECTION);
+ final String[] stationNames = parser.getStringArray(ParameterKey.GROUND_STATION_NAME);
+ final double[] stationLatitudes = parser.getAngleArray(ParameterKey.GROUND_STATION_LATITUDE);
+ final double[] stationLongitudes = parser.getAngleArray(ParameterKey.GROUND_STATION_LONGITUDE);
+ final double[] stationAltitudes = parser.getDoubleArray(ParameterKey.GROUND_STATION_ALTITUDE);
+ final boolean[] stationPositionEstimated = parser.getBooleanArray(ParameterKey.GROUND_STATION_POSITION_ESTIMATED);
+ final double[] stationClockOffsets = parser.getDoubleArray(ParameterKey.GROUND_STATION_CLOCK_OFFSET);
+ final double[] stationClockOffsetsMin = parser.getDoubleArray(ParameterKey.GROUND_STATION_CLOCK_OFFSET_MIN);
+ final double[] stationClockOffsetsMax = parser.getDoubleArray(ParameterKey.GROUND_STATION_CLOCK_OFFSET_MAX);
+ final boolean[] stationClockOffsetEstimated = parser.getBooleanArray(ParameterKey.GROUND_STATION_CLOCK_OFFSET_ESTIMATED);
+ final double[] stationRangeSigma = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_SIGMA);
+ final double[] stationRangeBias = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_BIAS);
+ final double[] stationRangeBiasMin = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_BIAS_MIN);
+ final double[] stationRangeBiasMax = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_BIAS_MAX);
+ final boolean[] stationRangeBiasEstimated = parser.getBooleanArray(ParameterKey.GROUND_STATION_RANGE_BIAS_ESTIMATED);
+ final double[] stationRangeRateSigma = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_RATE_SIGMA);
+ final double[] stationRangeRateBias = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_RATE_BIAS);
+ final double[] stationRangeRateBiasMin = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_RATE_BIAS_MIN);
+ final double[] stationRangeRateBiasMax = parser.getDoubleArray(ParameterKey.GROUND_STATION_RANGE_RATE_BIAS_MAX);
+ final boolean[] stationRangeRateBiasEstimated = parser.getBooleanArray(ParameterKey.GROUND_STATION_RANGE_RATE_BIAS_ESTIMATED);
+ final double[] stationAzimuthSigma = parser.getAngleArray(ParameterKey.GROUND_STATION_AZIMUTH_SIGMA);
+ final double[] stationAzimuthBias = parser.getAngleArray(ParameterKey.GROUND_STATION_AZIMUTH_BIAS);
+ final double[] stationAzimuthBiasMin = parser.getAngleArray(ParameterKey.GROUND_STATION_AZIMUTH_BIAS_MIN);
+ final double[] stationAzimuthBiasMax = parser.getAngleArray(ParameterKey.GROUND_STATION_AZIMUTH_BIAS_MAX);
+ final double[] stationElevationSigma = parser.getAngleArray(ParameterKey.GROUND_STATION_ELEVATION_SIGMA);
+ final double[] stationElevationBias = parser.getAngleArray(ParameterKey.GROUND_STATION_ELEVATION_BIAS);
+ final double[] stationElevationBiasMin = parser.getAngleArray(ParameterKey.GROUND_STATION_ELEVATION_BIAS_MIN);
+ final double[] stationElevationBiasMax = parser.getAngleArray(ParameterKey.GROUND_STATION_ELEVATION_BIAS_MAX);
+ final boolean[] stationAzElBiasesEstimated = parser.getBooleanArray(ParameterKey.GROUND_STATION_AZ_EL_BIASES_ESTIMATED);
+ final boolean[] stationElevationRefraction = parser.getBooleanArray(ParameterKey.GROUND_STATION_ELEVATION_REFRACTION_CORRECTION);
+ final boolean[] stationTroposphericModelEstimated = parser.getBooleanArray(ParameterKey.GROUND_STATION_TROPOSPHERIC_MODEL_ESTIMATED);
+ final double[] stationTroposphericZenithDelay = parser.getDoubleArray(ParameterKey.GROUND_STATION_TROPOSPHERIC_ZENITH_DELAY);
+ final boolean[] stationZenithDelayEstimated = parser.getBooleanArray(ParameterKey.GROUND_STATION_TROPOSPHERIC_DELAY_ESTIMATED);
+ final boolean[] stationGlobalMappingFunction = parser.getBooleanArray(ParameterKey.GROUND_STATION_GLOBAL_MAPPING_FUNCTION);
+ final boolean[] stationNiellMappingFunction = parser.getBooleanArray(ParameterKey.GROUND_STATION_NIELL_MAPPING_FUNCTION);
+ final boolean[] stationRangeTropospheric = parser.getBooleanArray(ParameterKey.GROUND_STATION_RANGE_TROPOSPHERIC_CORRECTION);
//final boolean[] stationIonosphericCorrection = parser.getBooleanArray(ParameterKey.GROUND_STATION_IONOSPHERIC_CORRECTION);
final TidalDisplacement tidalDisplacement;
@@ -1123,11 +1133,27 @@ public class OrbitDetermination {
}
- //Tropospheric correction
+ //Tropospheric correction
final RangeTroposphericDelayModifier rangeTroposphericCorrection;
if (stationRangeTropospheric[i]) {
- final SaastamoinenModel troposphericModel = SaastamoinenModel.getStandardModel();
+ MappingFunction mappingModel = null;
+ if (stationGlobalMappingFunction[i]) {
+ mappingModel = new GlobalMappingFunctionModel(stationLatitudes[i],
+ stationLongitudes[i]);
+ } else if (stationNiellMappingFunction[i]) {
+ mappingModel = new NiellMappingFunctionModel(stationLatitudes[i]);
+ }
+
+ DiscreteTroposphericModel troposphericModel;
+ if (stationTroposphericModelEstimated[i] && mappingModel != null) {
+ troposphericModel = new EstimatedTroposphericModel(mappingModel, stationTroposphericZenithDelay[i]);
+ ParameterDriver totalDelay = troposphericModel.getParametersDrivers().get(0);
+ totalDelay.setSelected(stationZenithDelayEstimated[i]);
+ totalDelay.setName(stationNames[i].substring(0, 5) + EstimatedTroposphericModel.TOTAL_ZENITH_DELAY);
+ } else {
+ troposphericModel = SaastamoinenModel.getStandardModel();
+ }
rangeTroposphericCorrection = new RangeTroposphericDelayModifier(troposphericModel);
} else {
@@ -2493,6 +2519,11 @@ public class OrbitDetermination {
GROUND_STATION_CLOCK_OFFSET_MAX,
GROUND_STATION_CLOCK_OFFSET_ESTIMATED,
GROUND_STATION_POSITION_ESTIMATED,
+ GROUND_STATION_TROPOSPHERIC_MODEL_ESTIMATED,
+ GROUND_STATION_TROPOSPHERIC_ZENITH_DELAY,
+ GROUND_STATION_TROPOSPHERIC_DELAY_ESTIMATED,
+ GROUND_STATION_GLOBAL_MAPPING_FUNCTION,
+ GROUND_STATION_NIELL_MAPPING_FUNCTION,
GROUND_STATION_RANGE_SIGMA,
GROUND_STATION_RANGE_BIAS,
GROUND_STATION_RANGE_BIAS_MIN,
diff --git a/src/tutorials/resources/orbit-determination.in b/src/tutorials/resources/orbit-determination.in
index 7fed8b50c7cca18cc55001fb80ed9d1b52e44393..5c89c9e222a8efe200569a66f36c0a78f0d2aca3 100644
--- a/src/tutorials/resources/orbit-determination.in
+++ b/src/tutorials/resources/orbit-determination.in
@@ -222,6 +222,11 @@ ground.station.elevation.bias.min [0] = -0.50
ground.station.elevation.bias.max [0] = +0.50
ground.station.az.el.biases.estimated [0] = true
ground.station.elevation.refraction.correction [0] = true
+ground.station.tropospheric.model.estimated [0] = false
+ground.station.tropospheric.zenith.delay [0] = 2.0
+ground.station.tropospheric.delay.estimated [0] = false
+ground.station.global.mapping.function [0] = false
+ground.station.niell.mapping.function [0] = false
ground.station.range.tropospheric.correction [0] = true
ground.station.name [1] = Kumsan
@@ -253,6 +258,11 @@ ground.station.elevation.bias.min [1] = -0.50
ground.station.elevation.bias.max [1] = +0.50
ground.station.az.el.biases.estimated [1] = true
ground.station.elevation.refraction.correction [1] = true
+ground.station.tropospheric.model.estimated [1] = false
+ground.station.tropospheric.zenith.delay [1] = 2.0
+ground.station.tropospheric.delay.estimated [1] = false
+ground.station.global.mapping.function [1] = false
+ground.station.niell.mapping.function [1] = false
ground.station.range.tropospheric.correction [1] = true
ground.station.name [2] = Uralla
@@ -284,6 +294,11 @@ ground.station.elevation.bias.min [2] = -0.50
ground.station.elevation.bias.max [2] = +0.50
ground.station.az.el.biases.estimated [2] = true
ground.station.elevation.refraction.correction [2] = true
+ground.station.tropospheric.model.estimated [2] = false
+ground.station.tropospheric.zenith.delay [2] = 2.0
+ground.station.tropospheric.delay.estimated [2] = false
+ground.station.global.mapping.function [2] = false
+ground.station.niell.mapping.function [2] = false
ground.station.range.tropospheric.correction [2] = true
ground.station.name [3] = Pretoria
@@ -315,6 +330,11 @@ ground.station.elevation.bias.min [3] = -0.50
ground.station.elevation.bias.max [3] = +0.50
ground.station.az.el.biases.estimated [3] = true
ground.station.elevation.refraction.correction [3] = true
+ground.station.tropospheric.model.estimated [3] = false
+ground.station.tropospheric.zenith.delay [3] = 2.0
+ground.station.tropospheric.delay.estimated [3] = false
+ground.station.global.mapping.function [3] = false
+ground.station.niell.mapping.function [3] = false
ground.station.range.tropospheric.correction [3] = true
ground.station.name [4] = CastleRock
@@ -346,6 +366,11 @@ ground.station.elevation.bias.min [4] = -0.50
ground.station.elevation.bias.max [4] = +0.50
ground.station.az.el.biases.estimated [4] = true
ground.station.elevation.refraction.correction [4] = true
+ground.station.tropospheric.model.estimated [4] = false
+ground.station.tropospheric.zenith.delay [4] = 2.0
+ground.station.tropospheric.delay.estimated [4] = false
+ground.station.global.mapping.function [4] = false
+ground.station.niell.mapping.function [4] = false
ground.station.range.tropospheric.correction [4] = true
### Measurements parameters