astrojuanlu/Visualizing the SpaceX Tesla Roadster trip to Mars.ipynb

## Visualizing the SpaceX Tesla Roadster trip to Mars.ipynb
{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from astropy.time import Time\n",
    "\n",
    "from astropy.coordinates import solar_system_ephemeris\n",
    "solar_system_ephemeris.set(\"jpl\")\n",
    "\n",
    "from poliastro.bodies import *\n",
    "from poliastro.twobody import Orbit\n",
    "from poliastro.plotting import OrbitPlotter, plot\n",
    "\n",
    "EPOCH = Time(\"2018-02-18 12:00:00\", scale=\"tdb\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import callhorizons\n",
    "\n",
    "from astropy.coordinates import ICRS, CartesianRepresentation, CartesianDifferential\n",
    "from poliastro.frames import HeliocentricEclipticJ2000\n",
    "\n",
    "def get_roadster_orbit(epoch):\n",
    "    # Get orbital data\n",
    "    roadster = callhorizons.query(\"SpaceX Roadster\", smallbody=False)\n",
    "    roadster.set_discreteepochs([epoch.jd])\n",
    "    roadster.get_elements(center=\"500@10\")\n",
    "\n",
    "    # Create Orbit object to do conversions\n",
    "    roadster_eclip = Orbit.from_classical(\n",
    "        Sun,\n",
    "        roadster['a'][0] * u.au,\n",
    "        roadster['e'][0] * u.one,\n",
    "        roadster['incl'][0] * u.deg,\n",
    "        roadster['node'][0] * u.deg,\n",
    "        roadster['argper'][0] * u.deg,\n",
    "        roadster['trueanomaly'][0] * u.deg,\n",
    "        epoch\n",
    "    )\n",
    "\n",
    "    # Convert to ICRS\n",
    "    roadster_eclip_coords = HeliocentricEclipticJ2000(\n",
    "        x=roadster_eclip.r[0], y=roadster_eclip.r[1], z=roadster_eclip.r[2],\n",
    "        v_x=roadster_eclip.v[0], v_y=roadster_eclip.v[1], v_z=roadster_eclip.v[2],\n",
    "        representation=CartesianRepresentation,\n",
    "        differential_cls=CartesianDifferential,\n",
    "        obstime=epoch\n",
    "    )\n",
    "\n",
    "    roadster_icrs_coords = roadster_eclip_coords.transform_to(ICRS)\n",
    "    roadster_icrs_coords.representation = CartesianRepresentation\n",
    "\n",
    "    # Create final orbit\n",
    "    roadster_icrs = Orbit.from_vectors(\n",
    "        Sun,\n",
    "        r=[roadster_icrs_coords.x, roadster_icrs_coords.y, roadster_icrs_coords.z] * u.km,\n",
    "        v=[roadster_icrs_coords.v_x, roadster_icrs_coords.v_y, roadster_icrs_coords.v_z] * (u.km / u.s),\n",
    "        epoch=epoch\n",
    "    )\n",
    "\n",
    "    return roadster_icrs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1 x 2 AU x 24.2 deg orbit around Sun (☉)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "roadster = get_roadster_orbit(EPOCH)\n",
    "roadster"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "from poliastro.plotting import plot_solar_system"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f00d79e37f0>,\n",
       " <matplotlib.lines.Line2D at 0x7f00d7a0b208>]"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f00da010320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "frame = plot_solar_system(outer=False, epoch=EPOCH)\n",
    "frame.plot(roadster, label=\"SpaceX Roadster\", color='k')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<script>requirejs.config({paths: { 'plotly': ['https://cdn.plot.ly/plotly-latest.min']},});if(!window.Plotly) {{require(['plotly'],function(plotly) {window.Plotly=plotly;});}}</script>"
      ],
      "text/vnd.plotly.v1+html": [
       "<script>requirejs.config({paths: { 'plotly': ['https://cdn.plot.ly/plotly-latest.min']},});if(!window.Plotly) {{require(['plotly'],function(plotly) {window.Plotly=plotly;});}}</script>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from poliastro.plotting import OrbitPlotter3D\n",
    "\n",
    "from plotly.offline import init_notebook_mode\n",
    "\n",
    "init_notebook_mode(connected=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.plotly.v1+json": {
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        {
         "line": {
          "color": "rgb(31, 119, 180)",
          "dash": "dash",
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         "mode": "lines",
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\"aspectmode\": \"data\", \"camera\": {\"eye\": {\"x\": -0.30076746636087054, \"y\": -1.7057370639048866, \"z\": 0.9999999999999999}}}}, {\"showLink\": true, \"linkText\": \"Export to plot.ly\"})});</script>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "frame = OrbitPlotter3D()\n",
    "\n",
    "frame.plot(Orbit.from_body_ephem(Earth), label=Earth)\n",
    "frame.plot(Orbit.from_body_ephem(Mars), label=Mars)\n",
    "frame.plot(roadster, label=\"SpaceX Roadster\", color='black')\n",
    "\n",
    "frame.set_view(30 * u.deg, -100 * u.deg, 2 * u.km)\n",
    "frame.show()"
   ]
  }
 ],
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   "nbconvert_exporter": "python",
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