diff --git a/examples/Example_numerical_prop.ipynb b/examples/Example_numerical_prop.ipynb
index b909785017c05a9d57cc99bf8449e56eacd31401..b03ae38ff6ec9cba4849d67dcd6e5d794860c596 100644
--- a/examples/Example_numerical_prop.ipynb
+++ b/examples/Example_numerical_prop.ipynb
@@ -7,48 +7,43 @@
"# Numerical Propagation Example"
]
},
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "This is an example of how to perform a numerical propagation in Orekit."
+ ]
+ },
{
"cell_type": "code",
- "execution_count": 1,
+ "execution_count": 16,
"metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Populating the interactive namespace from numpy and matplotlib\n"
- ]
- }
- ],
+ "outputs": [],
"source": [
- "%pylab inline"
+ "%matplotlib inline"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Set up the orekit environment and start the Java VM"
]
},
{
"cell_type": "code",
- "execution_count": 2,
+ "execution_count": 18,
"metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "<jcc.JCCEnv at 0x906bd20>"
- ]
- },
- "execution_count": 2,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"import orekit\n",
- "orekit.initVM()\n",
+ "vm = orekit.initVM()\n",
"# Now we have populated the namespace with the orekit classes"
]
},
{
"cell_type": "code",
- "execution_count": 3,
+ "execution_count": 19,
"metadata": {},
"outputs": [],
"source": [
@@ -58,7 +53,7 @@
},
{
"cell_type": "code",
- "execution_count": 4,
+ "execution_count": 20,
"metadata": {},
"outputs": [],
"source": [
@@ -68,7 +63,7 @@
},
{
"cell_type": "code",
- "execution_count": 5,
+ "execution_count": 21,
"metadata": {},
"outputs": [],
"source": [
@@ -94,7 +89,7 @@
},
{
"cell_type": "code",
- "execution_count": 6,
+ "execution_count": 22,
"metadata": {},
"outputs": [],
"source": [
@@ -106,7 +101,7 @@
},
{
"cell_type": "code",
- "execution_count": 7,
+ "execution_count": 23,
"metadata": {},
"outputs": [],
"source": [
@@ -125,12 +120,12 @@
},
{
"cell_type": "code",
- "execution_count": 8,
+ "execution_count": 24,
"metadata": {},
"outputs": [],
"source": [
- "ra = 814 * 1000 # km Apogee!\n",
- "rp = 786 * 1000 # km Perigee!\n",
+ "ra = 814 * 1000 # km Apogee\n",
+ "rp = 786 * 1000 # km Perigee\n",
"i = radians(98.55) # inclination\n",
"omega = radians(90.0) # perigee argument\n",
"raan = radians(5.1917) # right ascension of ascending node\n",
@@ -155,12 +150,19 @@
"cell_type": "markdown",
"metadata": {},
"source": [
- "### Set up propagator"
+ "### Set up numerical propagator"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "The numerical propagation is based on an integrator with variable step size. These are specified, as other time units in Orekit, in seconds."
]
},
{
"cell_type": "code",
- "execution_count": 9,
+ "execution_count": 25,
"metadata": {},
"outputs": [],
"source": [
@@ -169,9 +171,16 @@
"initStep = 60.0"
]
},
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "The spatial tolerance can be specified (meters)"
+ ]
+ },
{
"cell_type": "code",
- "execution_count": 10,
+ "execution_count": 26,
"metadata": {},
"outputs": [],
"source": [
@@ -180,9 +189,16 @@
"tol = NumericalPropagator.tolerances(positionTolerance, initialOrbit, orbitType)"
]
},
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "The actual integrator, in this case DormandPrince853, is part of the Hipparchos library. Note that the tolerances needs casting in Python to an array of doubles (floats)."
+ ]
+ },
{
"cell_type": "code",
- "execution_count": 11,
+ "execution_count": 27,
"metadata": {},
"outputs": [],
"source": [
@@ -194,7 +210,7 @@
},
{
"cell_type": "code",
- "execution_count": 12,
+ "execution_count": 28,
"metadata": {},
"outputs": [],
"source": [
@@ -203,9 +219,18 @@
"propagator_num.setInitialState(initialState)"
]
},
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "For the propagator to make sense it needs some forces acting on the satellite. Here we are adding a gravity field model.\n",
+ "\n",
+ "For a more detailed propagation, other force models can be added."
+ ]
+ },
{
"cell_type": "code",
- "execution_count": 13,
+ "execution_count": 34,
"metadata": {},
"outputs": [],
"source": [
@@ -226,7 +251,7 @@
},
{
"cell_type": "code",
- "execution_count": 14,
+ "execution_count": 38,
"metadata": {},
"outputs": [],
"source": [
@@ -242,24 +267,33 @@
" for dt in np.arange(0, duration, step_time)]\n",
"\n",
"state = [propagator_num.propagate(tt) for tt in t]\n",
- "pv_org = [propagator_num.propagate(tt).getPVCoordinates() for tt in t]"
+ "pos = [propagator_num.propagate(tt).getPVCoordinates().getPosition() for tt in t]"
]
},
{
"cell_type": "code",
- "execution_count": 15,
+ "execution_count": 39,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
- "[<TimeStampedPVCoordinates: {2012-01-26T11:00:00.000, P(-1485060.230796095, -1172149.869391506, 6910872.881811353), V(-7276.845406165253, -390.79598906894876, -1622.642292519064), A(1.6017421210728233, 1.2641139352739867, -7.472597115146825)}>, <TimeStampedPVCoordinates: {2012-01-26T11:03:00.000, P(-2761405.2394358353, -1221665.2753120945, 6499798.932401005), V(-6863.451964464366, -157.77369354240042, -2931.487864434828), A(2.978062425041722, 1.317464677650912, -7.027582674686482)}>, <TimeStampedPVCoordinates: {2012-01-26T11:06:00.000, P(-3941543.360562605, -1228619.334777541, 5861696.56465328), V(-6211.01368891115, 80.7259950332238, -4137.797083445139), A(4.249982027944896, 1.3247794077886796, -6.336605088152041)}>, <TimeStampedPVCoordinates: {2012-01-26T11:09:00.000, P(-4984385.936874708, -1192776.0424135227, 5018888.5437276345), V(-5342.428553644076, 316.35966350228534, -5199.332681599894), A(5.372560916845914, 1.2856963198200895, -5.423681619361966)}>, <TimeStampedPVCoordinates: {2012-01-26T11:12:00.000, P(-5853669.8252846375, -1115398.1555097871, 4000866.777256163), V(-4288.269276555763, 540.8680458444921, -6078.917894314487), A(6.305734904640754, 1.201527293458452, -4.320928440262664)}>, <TimeStampedPVCoordinates: {2012-01-26T11:15:00.000, P(-6519250.743941518, -999204.5664326341, 2843253.828003139), V(-3085.752056117979, 746.382621951424, -6745.830689629705), A(7.016054244770994, 1.0752979110701735, -3.0677699112975105)}>, <TimeStampedPVCoordinates: {2012-01-26T11:18:00.000, P(-6958182.3464526115, -848272.5678893804, 1586529.4318921259), V(-1777.3877069181722, 925.7268281251743, -7177.001233897867), A(7.478394919711114, 0.9116399480701963, -1.7095112296442623)}>, <TimeStampedPVCoordinates: {2012-01-26T11:21:00.000, P(-7155526.953573456, -667888.4265470142, 274568.03566046816), V(-409.3641560386667, 1072.6854141983163, -7357.897258745752), A(7.677170037227936, 0.7165592180198178, -0.29535200797830197)}>, <TimeStampedPVCoordinates: {2012-01-26T11:24:00.000, P(-7104859.033946037, -464353.504174556, -1046949.385258351), V(970.230835113126, 1182.2281590240175, -7283.030149546021), A(7.606909502917916, 0.4971736123588008, 1.1237862292649916)}>]\n"
+ "[<Vector3D: {-887,709.6496859877; -1,088,205.0762713088; 7,019,192.658396719}>, <Vector3D: {-2,196,915.7533136243; -1,091,163.2189725444; 6,725,748.465502477}>, <Vector3D: {-3,429,686.155714542; -1,056,164.779775145; 6,197,129.540835791}>, <Vector3D: {-4,543,040.737481897; -984,394.4426706315; 5,451,644.582415734}>, <Vector3D: {-5,498,089.563369228; -878,321.5655214558; 4,515,223.962545453}>, <Vector3D: {-6,261,438.133135384; -741,624.9879362852; 3,420,566.860701595}>, <Vector3D: {-6,806,434.691534639; -579,068.591574543; 2,206,013.5936590815}>, <Vector3D: {-7,114,182.096320131; -396,330.2292130021; 914,166.1643992984}>, <Vector3D: {-7,174,246.2068287665; -199,793.2280312352; -409,684.2859909888}>]\n"
]
}
],
"source": [
- "print(pv_org[0:9])"
+ "print(pos[0:9])"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "plt.plot([n.x for n in pos])"
]
},
{
@@ -332,5 +366,5 @@
}
},
"nbformat": 4,
- "nbformat_minor": 2
+ "nbformat_minor": 4
}
diff --git a/examples/Plotly_example.ipynb b/examples/Plotly_example.ipynb
index 2f0764e9f78608c1df8367e0cba8e03f70658162..4763f3cc903fe9a3b65c1d6ca19c89c720448ce4 100644
--- a/examples/Plotly_example.ipynb
+++ b/examples/Plotly_example.ipynb
@@ -14085,1095 +14085,1095 @@
{
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