diff --git a/environment.yml b/environment.yml index 8c61028e4bf405d9467475a165e0e54d993efc48..6eb86125df20ac3041dbb8414d36b52e8e94a495 100644 --- a/environment.yml +++ b/environment.yml @@ -8,3 +8,6 @@ dependencies: - cartopy - numpy - pandas + - plotly + - jupyterlab-plotly-extension + diff --git a/examples/Plotly_example.ipynb b/examples/Plotly_example.ipynb new file mode 100644 index 0000000000000000000000000000000000000000..2f0764e9f78608c1df8367e0cba8e03f70658162 --- /dev/null +++ b/examples/Plotly_example.ipynb @@ -0,0 +1,43825 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Example using Plotly" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This is an example of using the Plotly library for interactive plots in jupyterlab. Ensure that your environment has plotly and jupyter-plotly-extension installed." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "%matplotlib inline" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Initialize orkit and bring up the python-java interface" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import orekit\n", + "vm = orekit.initVM()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now set up the pointer to the orekit-data.zip file, using one of the helper files. The file should be in current directory if not specified otherwise." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "from orekit.pyhelpers import setup_orekit_curdir, absolutedate_to_datetime\n", + "setup_orekit_curdir()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now we are set up to import and use objects from the orekit library. Packages can be imported as they were native Python packages" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "from org.orekit.data import DataProvidersManager, ZipJarCrawler\n", + "from org.orekit.frames import FramesFactory, TopocentricFrame\n", + "from org.orekit.bodies import OneAxisEllipsoid, GeodeticPoint\n", + "from org.orekit.time import TimeScalesFactory, AbsoluteDate, DateComponents, TimeComponents\n", + "from org.orekit.utils import IERSConventions, Constants\n", + "\n", + "from org.orekit.propagation.analytical.tle import TLE, TLEPropagator\n", + "from java.io import File\n", + "\n", + "from math import radians, pi\n", + "import pandas as pd\n", + "import numpy as np\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Define orbit " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Perform simple TLE propagation, using two strings as input." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "#SPOT-5 \n", + "tle_line1 = \"1 27421U 02021A 02124.48976499 -.00021470 00000-0 -89879-2 0 20\"\n", + "tle_line2 = \"2 27421 98.7490 199.5121 0001333 133.9522 226.1918 14.26113993 62\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Create a TLE object" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "mytle = TLE(tle_line1,tle_line2)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "<AbsoluteDate: 2002-05-04T11:45:15.695>" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mytle.getDate()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Define planet Earth " + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "ITRF = FramesFactory.getITRF(IERSConventions.IERS_2010, True)\n", + "earth = OneAxisEllipsoid(Constants.WGS84_EARTH_EQUATORIAL_RADIUS, \n", + " Constants.WGS84_EARTH_FLATTENING, \n", + " ITRF)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Note that (as an option) the Python interface maps get/setXX() to direct parameters, which is more \"Pythonic\"" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.0033528106647474805" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "earth.flattening" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Define a Station\n", + "Define a ground station to perform comparison with in our propagation" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "longitude = radians(21.063)\n", + "latitude = radians(67.878)\n", + "altitude = 341.0\n", + "station1 = GeodeticPoint(latitude, longitude, altitude)\n", + "sta1Frame = TopocentricFrame(earth, station1, \"Esrange\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Sometimes it is nice to investigate object interactively outside cells. If using JupyterLab, open a New Console for the kernel and investigate sta1Frame. For example getPoint()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Set up propagation " + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "initialDate = AbsoluteDate(DateComponents(2002, 5, 7),\n", + " TimeComponents.H00,\n", + " TimeScalesFactory.getUTC())\n", + "\n", + "inertialFrame = FramesFactory.getEME2000()\n", + "\n", + "propagator = TLEPropagator.selectExtrapolator(mytle)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "A small loop that steps through the propagation and stores values in a python array" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "pvs = []\n", + "extrapDate = initialDate\n", + "finalDate = extrapDate.shiftedBy(60.0 * 60 * 24 * 3) #seconds\n", + "\n", + "while (extrapDate.compareTo(finalDate) <= 0.0):\n", + " pv = propagator.getPVCoordinates(extrapDate, inertialFrame)\n", + " pvs.append(pv)\n", + " extrapDate = extrapDate.shiftedBy(20.0)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Take the results and populate a Pandas DataFrame with them for managing the results." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "prop_data = pd.DataFrame(data=pvs, columns=['pv'])\n", + "\n", + "prop_data['Position'] = prop_data['pv'].apply(lambda x: x.getPosition())\n", + "prop_data['datetime'] = prop_data['pv'].apply(lambda x: absolutedate_to_datetime(x.getDate()))\n", + "prop_data['elevation'] = prop_data['pv'].apply(lambda x: sta1Frame.getElevation(x.getPosition(), inertialFrame, x.getDate())*180.0/pi )\n", + "prop_data['azimuth'] = prop_data['pv'].apply(lambda x: sta1Frame.getAzimuth(x.getPosition(), inertialFrame, x.getDate())*180.0/pi )\n", + "prop_data.set_index('datetime', inplace=True, drop=False)\n", + "prop_data.index.name = 'Timestamp'" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "<div>\n", + "<style scoped>\n", + " .dataframe tbody tr th:only-of-type {\n", + " vertical-align: middle;\n", + " }\n", + "\n", + " .dataframe tbody tr th {\n", + " vertical-align: top;\n", + " }\n", + "\n", + " .dataframe thead th {\n", + " text-align: right;\n", + " }\n", + "</style>\n", + "<table border=\"1\" class=\"dataframe\">\n", + " <thead>\n", + " <tr style=\"text-align: right;\">\n", + " <th></th>\n", + " <th>pv</th>\n", + " <th>Position</th>\n", + " <th>datetime</th>\n", + " <th>elevation</th>\n", + " <th>azimuth</th>\n", + " </tr>\n", + " <tr>\n", + " <th>Timestamp</th>\n", + " <th></th>\n", + " <th></th>\n", + " <th></th>\n", + " <th></th>\n", + " <th></th>\n", + " </tr>\n", + " </thead>\n", + " <tbody>\n", + " <tr>\n", + " <th>2002-05-07 00:00:00</th>\n", + " <td>{2002-05-07T00:00:00.000, P(-746330.6708308915...</td>\n", + " <td>{-746,330.6708308915; -1,463,626.22678806; -7,...</td>\n", + " <td>2002-05-07 00:00:00</td>\n", + " <td>-71.287402</td>\n", + " <td>181.060576</td>\n", + " </tr>\n", + " <tr>\n", + " <th>2002-05-07 00:00:20</th>\n", + " <td>{2002-05-07T00:00:20.000, P(-883435.5562218677...</td>\n", + " <td>{-883,435.5562218677; -1,514,542.4907364363; -...</td>\n", + " <td>2002-05-07 00:00:20</td>\n", + " <td>-70.825293</td>\n", + " <td>182.482355</td>\n", + " </tr>\n", + " <tr>\n", + " <th>2002-05-07 00:00:40</th>\n", + " <td>{2002-05-07T00:00:40.000, P(-1020163.513606485...</td>\n", + " <td>{-1,020,163.5136064853; -1,564,812.5611889178;...</td>\n", + " <td>2002-05-07 00:00:40</td>\n", + " <td>-70.355643</td>\n", + " <td>183.850049</td>\n", + " </tr>\n", + " <tr>\n", + " <th>2002-05-07 00:01:00</th>\n", + " <td>{2002-05-07T00:01:00.000, P(-1156456.184620729...</td>\n", + " <td>{-1,156,456.1846207299; -1,614,414.9561095473;...</td>\n", + " <td>2002-05-07 00:01:00</td>\n", + " <td>-69.878974</td>\n", + " <td>185.166756</td>\n", + " </tr>\n", + " <tr>\n", + " <th>2002-05-07 00:01:20</th>\n", + " <td>{2002-05-07T00:01:20.000, P(-1292255.388093741...</td>\n", + " <td>{-1,292,255.3880937414; -1,663,328.472507268; ...</td>\n", + " <td>2002-05-07 00:01:20</td>\n", + " <td>-69.395767</td>\n", + " <td>186.435438</td>\n", + " </tr>\n", + " </tbody>\n", + "</table>\n", + "</div>" + ], + "text/plain": [ + " pv \\\n", + "Timestamp \n", + "2002-05-07 00:00:00 {2002-05-07T00:00:00.000, P(-746330.6708308915... \n", + "2002-05-07 00:00:20 {2002-05-07T00:00:20.000, P(-883435.5562218677... \n", + "2002-05-07 00:00:40 {2002-05-07T00:00:40.000, P(-1020163.513606485... \n", + "2002-05-07 00:01:00 {2002-05-07T00:01:00.000, P(-1156456.184620729... \n", + "2002-05-07 00:01:20 {2002-05-07T00:01:20.000, P(-1292255.388093741... \n", + "\n", + " Position \\\n", + "Timestamp \n", + "2002-05-07 00:00:00 {-746,330.6708308915; -1,463,626.22678806; -7,... \n", + "2002-05-07 00:00:20 {-883,435.5562218677; -1,514,542.4907364363; -... \n", + "2002-05-07 00:00:40 {-1,020,163.5136064853; -1,564,812.5611889178;... \n", + "2002-05-07 00:01:00 {-1,156,456.1846207299; -1,614,414.9561095473;... \n", + "2002-05-07 00:01:20 {-1,292,255.3880937414; -1,663,328.472507268; ... \n", + "\n", + " datetime elevation azimuth \n", + "Timestamp \n", + "2002-05-07 00:00:00 2002-05-07 00:00:00 -71.287402 181.060576 \n", + "2002-05-07 00:00:20 2002-05-07 00:00:20 -70.825293 182.482355 \n", + "2002-05-07 00:00:40 2002-05-07 00:00:40 -70.355643 183.850049 \n", + "2002-05-07 00:01:00 2002-05-07 00:01:00 -69.878974 185.166756 \n", + "2002-05-07 00:01:20 2002-05-07 00:01:20 -69.395767 186.435438 " + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "prop_data.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Let us add a bit more advanced data. First calculate the satellite subpoint geographical coordinates and store in the pandas DataFrame." + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [], + "source": [ + "prop_data['groundpoint'] = prop_data['pv'].apply(lambda pv: earth.transform(pv.position, inertialFrame, pv.date))\n", + "prop_data['latitude'] = np.degrees(prop_data.groundpoint.apply(lambda gp: gp.latitude))\n", + "prop_data['longitude'] = np.degrees(prop_data.groundpoint.apply(lambda gp: gp.longitude))\n", + "prop_data['day'] = prop_data.datetime.dt.dayofyear\n", + "prop_data['hour'] = prop_data.datetime.dt.hour" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Make a separate vector for visibility" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [ + "prop_data['visible'] = prop_data.elevation.apply(lambda el: 'Yes' if el>0 else 'No')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Plot Results with Pandas" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The following example is using the [Pandas]() package for plotting. Pandas uses matplotlib but with a reduced syntax and some additional polishing. The Pandas package has features for filtering in several steps." + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "prop_data[prop_data.elevation>0]['2002-05-07':'2002-05-08'].plot(y='elevation');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Plot results with Plotly " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "However, these graphs are not interactive and several new libraries are being developed for more interactivity with data and plots. One in Plotly. Here we will use plotly-express for simple interactive plotting.\n", + "\n", + "Plotly express that is used in these examples is a simplified front end, using a Pandas frame as data source.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "import plotly.express as px" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "First plot the elevation as a function of time. Note that the plot has possibility to zoom and a hoover giving additional information about that point." + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ + { + "customdata": [ + [ + 301.0722213183258, + 0.07204812567518222, + 65.74305068906487, + -52.841563321195586 + ], + [ + 303.6044454977401, + 0.36791919678417084, + 66.84085619811509, + -54.034669339980645 + ], + [ + 306.1817430557296, + 0.6224997254579065, + 67.92999880471793, + -55.33124984061475 + ], + [ + 308.79781657476104, + 0.8334858055240257, + 69.00916395781006, + -56.74643051533963 + ], + [ + 311.4456406461715, + 0.9988874518990112, + 70.07676463644108, + -58.29815042377444 + ], + [ + 314.1175670699937, + 1.1170956473166942, + 71.13087249188325, + -60.00775552605184 + ], + [ + 316.8054594315135, + 1.1869395109580483, + 72.1691292821677, + 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(notebookContainer) {{\n", + " x.observe(notebookContainer, {childList: true});\n", + "}}\n", + "\n", + "// Listen for the clearing of the current output cell\n", + "var outputEl = gd.closest('.output');\n", + "if (outputEl) {{\n", + " x.observe(outputEl, {childList: true});\n", + "}}\n", + "\n", + " })\n", + " };\n", + " });\n", + " </script>\n", + " </div>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "px.line(prop_data[prop_data.elevation>0], y='elevation', x='datetime', hover_name=\"datetime\", \n", + " hover_data=['azimuth',\n", + " 'elevation',\n", + " 'latitude',\n", + " 'longitude'])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Map plot " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Plotly has possibilites to plot geographical data, and with the plotly express interface the scatter_geo gives a quick way to visualize data. Note that this is map visualization that does not take into account the altitude of the object." + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ + { + "customdata": [ + [ + -35.18471515860803, + 165.20756247475632 + ], + [ + -35.840500328930766, + 165.5928477912283 + ], + [ + -36.49465958513015, + 165.97471061218673 + ], + [ + -37.147252367357964, + 166.35341934141215 + ], + [ + -37.7983348444039, + 166.7292345375355 + ], + [ + -38.44796009089796, + 167.10240979455952 + ], + [ + -39.09617825141331, + 167.47319258216993 + ], + [ + -39.74303669219622, + 167.84182505144625 + ], + [ + -40.38858014137986, + 168.20854481135325 + ], + [ + -41.03285081828375, + 168.57358568102313 + ], + [ + -41.67588855254257, + 168.9371784227293 + ], + [ + -42.31773089349339, + 169.29955146016766 + ], + [ + -42.95841321045788, + 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