{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Going to Mars with Python using poliastro\n", "\n", "\n", "\n", "This is an example on how to use [poliastro](https://github.com/poliastro/poliastro), a little library I've been working on to use in my Astrodynamics lessons. It features conversion between **classical orbital elements** and position vectors, propagation of **Keplerian orbits**, initial orbit determination using the solution of the **Lambert's problem** and **orbit plotting**.\n", "\n", "In this example we're going to draw the trajectory of the mission [Mars Science Laboratory (MSL)](http://mars.jpl.nasa.gov/msl/), which carried the rover Curiosity to the surface of Mars in a period of something less than 9 months.\n", "\n", "**Note**: This is a very simplistic analysis which doesn't take into account many important factors of the mission, but can serve as an starting point for more serious computations (and as a side effect produces a beautiful plot at the end)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First of all, we import the necessary modules. Apart from poliastro we will make use of astropy to deal with physical units and time definitions and jplephem to compute the positions and velocities of the planets." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from mpl_toolkits.mplot3d import Axes3D\n", "\n", "import astropy.units as u\n", "from astropy import time\n", "\n", "from poliastro import iod\n", "from poliastro.bodies import Sun\n", "from poliastro.twobody import Orbit" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We need a binary file from NASA called *SPICE kernel* to compute the position and velocities of the planets. Let's download and read it:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "File de421.bsp already exists under /home/juanlu/.poliastro\n" ] } ], "source": [ "from poliastro import ephem\n", "ephem.download_kernel(\"de421\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The initial data was gathered from Wikipedia: the date of the launch was on **November 26, 2011 at 15:02 UTC** and landing was on **August 6, 2012 at 05:17 UTC**. We compute then the time of flight, which is exactly what it sounds. It is a crucial parameter of the mission." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/latex": [ "$6086.2503 \\; \\mathrm{h}$" ], "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Initial data\n", "N = 50\n", "\n", "date_launch = time.Time('2011-11-26 15:02', scale='utc')\n", "date_arrival = time.Time('2012-08-06 05:17', scale='utc')\n", "tof = (date_arrival - date_launch)\n", "\n", "tof.to(u.h)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With the date of launch and the date of landing we can compute the [Julian days](http://www.wikiwand.com/en/Julian_day). The Julian day is an integer assigned to a date, and it's useful for not having to deal with leap years, changes of calendar and other messy stuff. It is measured from around 4713 BC so it is a pretty big number, as we'll see:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Calculate vector of times from launch and arrival Julian days\n", "jd_launch = date_launch.jd\n", "jd_arrival = date_arrival.jd\n", "jd_vec = np.linspace(jd_launch, jd_arrival, num=N)\n", "\n", "times_vector = time.Time(jd_vec, format='jd')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Once we have the vector of times we can use `poliastro.ephem` to compute the array of positions and velocities of the Earth and Mars." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [], "source": [ "rr_earth, vv_earth = ephem.planet_ephem(ephem.EARTH, times_vector)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/latex": [ "$[64601872,~1.2142001 \\times 10^{8},~52638008] \\; \\mathrm{km}$" ], "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "rr_earth[:, 0]" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/latex": [ "$[-2351290,~1031820.6,~447306.34] \\; \\mathrm{\\frac{km}{d}}$" ], "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "vv_earth[:, 0]" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "rr_mars, vv_mars = ephem.planet_ephem(ephem.MARS, times_vector)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/latex": [ "$[-1.2314831 \\times 10^{8},~1.9075313 \\times 10^{8},~90809903] \\; \\mathrm{km}$" ], "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "rr_mars[:, 0]" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/latex": [ "$[-1730633,~-811060.04,~-325250.65] \\; \\mathrm{\\frac{km}{d}}$" ], "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "vv_mars[:, 0]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To compute the transfer orbit, we have the useful function `lambert`: according to a theorem with the same name, *the transfer orbit between two points in space only depends on those two points and the time it takes to go from one to the other*. We have the starting and final position and we have the time of flight: there we go!" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Compute the transfer orbit!\n", "r0 = rr_earth[:, 0]\n", "rf = rr_mars[:, -1]\n", "\n", "(va, vb), = iod.lambert(Sun.k, r0, rf, tof)\n", "\n", "ss0_trans = Orbit.from_vectors(Sun, r0, va, date_launch)\n", "ssf_trans = Orbit.from_vectors(Sun, rf, vb, date_arrival)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we retrieve all the intermediate positions of the transfer orbit, and compute some more vectors outside of the mission time frame to decorate the plot." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Extract whole orbit of Earth, Mars and transfer (for plotting)\n", "rr_trans = np.zeros_like(rr_earth)\n", "rr_trans[:, 0] = r0\n", "for ii in range(1, len(jd_vec)):\n", " tof = (jd_vec[ii] - jd_vec[0]) * u.day\n", " rr_trans[:, ii] = ss0_trans.propagate(tof).r\n", "\n", "# Better compute backwards\n", "jd_init = (date_arrival - 1 * u.year).jd\n", "jd_vec_rest = np.linspace(jd_init, jd_launch, num=N)\n", "\n", "times_rest = time.Time(jd_vec_rest, format='jd')\n", "rr_earth_rest, _ = ephem.planet_ephem(ephem.EARTH, times_rest)\n", "rr_mars_rest, _ = ephem.planet_ephem(ephem.MARS, times_rest)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
The positions are in the International Standard Reference Frame, which has the Equator as the fundamental plane
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And finally, we can plot the figure! There is no more magic here, just passing the position vectors to matplotlib `plot` function and adding some style to the plot. Two views are offered." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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LCAQClo/NSjgKBoOIRqPw+Xz6Glvsv0nvRYGHuB5VqUi+euv7x05oMYYXIHOASfd4JrIs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\nwzAml6iszdWrVwEAycnJRufx0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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot figure\n", "# To add arrows:\n", "# https://github.com/matplotlib/matplotlib/blob/master/lib/matplotlib/streamplot.py#L140\n", "fig = plt.figure(figsize=(10, 10))\n", "ax = fig.add_subplot(111, projection='3d')\n", "\n", "def plot_body(ax, r, color, size, border=False, **kwargs):\n", " \"\"\"Plots body in axes object.\n", "\n", " \"\"\"\n", " return ax.plot(*r[:, None], marker='o', color=color, ms=size, mew=int(border), **kwargs)\n", "\n", "# I like color\n", "color_earth0 = '#3d4cd5'\n", "color_earthf = '#525fd5'\n", "color_mars0 = '#ec3941'\n", "color_marsf = '#ec1f28'\n", "color_sun = '#ffcc00'\n", "color_orbit = '#888888'\n", "color_trans = '#444444'\n", "\n", "# Plotting orbits is easy!\n", "ax.plot(*rr_earth.to(u.km).value, c=color_earth0)\n", "ax.plot(*rr_mars.to(u.km).value, c=color_mars0)\n", "ax.plot(*rr_trans.to(u.km).value, c=color_trans)\n", "\n", "ax.plot(*rr_earth_rest.to(u.km).value, ls='--', c=color_orbit)\n", "ax.plot(*rr_mars_rest.to(u.km).value, ls='--', c=color_orbit)\n", "\n", "# But plotting planets feels even magical!\n", "plot_body(ax, np.zeros(3), color_sun, 16)\n", "\n", "plot_body(ax, r0.to(u.km).value, color_earth0, 8)\n", "plot_body(ax, rr_earth[:, -1].to(u.km).value, color_earthf, 8)\n", "\n", "plot_body(ax, rr_mars[:, 0].to(u.km).value, color_mars0, 8)\n", "plot_body(ax, rf.to(u.km).value, color_marsf, 8)\n", "\n", "# Add some text\n", "ax.text(-0.75e8, -3.5e8, -1.5e8, \"MSL mission:\\nfrom Earth to Mars\", size=20, ha='center', va='center', bbox={\"pad\": 30, \"lw\": 0, \"fc\": \"w\"})\n", "ax.text(r0[0].to(u.km).value * 1.4, r0[1].to(u.km).value * 0.4, r0[2].to(u.km).value * 1.25, \"Earth at launch\\n(26 Nov)\", ha=\"left\", va=\"bottom\", backgroundcolor='#ffffff')\n", "ax.text(rf[0].to(u.km).value * 0.7, rf[1].to(u.km).value * 1.1, rf[2].to(u.km).value, \"Mars at arrival\\n(6 Ago)\", ha=\"left\", va=\"top\", backgroundcolor='#ffffff')\n", "ax.text(-1.9e8, 8e7, 0, \"Transfer\\norbit\", ha=\"right\", va=\"center\", backgroundcolor='#ffffff')\n", "\n", "# Tune axes\n", "ax.set_xlim(-3e8, 3e8)\n", "ax.set_ylim(-3e8, 3e8)\n", "ax.set_zlim(-3e8, 3e8)\n", "\n", "# And finally!\n", "ax.view_init(30, 260)\n", "fig.savefig(\"trans_30_260.png\", bbox_inches='tight')" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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GZfUwF31OFZZpHnXfLW4xwYiw4CkAF110Ed577z0cOnQIAwcOxB133IFLL700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/x+v6rOxuPxwOVy6aKzMco5yIdULSboFxtlSwk1A0er0SipvaOmn+PC5dLBDR5OAsOGDcN3332H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\nQwcUFhYiKSkJeXl5mDVrlsX7kOhWwcBDNjNnzhycP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"text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ax.view_init(80, 260)\n", "fig" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Not bad! Hope you found it interesting. In case you didn't but are still reading, here is some music that you may enjoy:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/jpeg": 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tUGo0Q+pqaeX4cRaUM3U6qDdUfTUmcZnaBLRqoZGsebtBSe5rjfLZKfhCQhir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\nVVPU8J8jiz1SiqBqWtheWskzHnohcry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"text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import YouTubeVideo\n", "YouTubeVideo('zSgiXGELjbc')" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.2" } }, "nbformat": 4, "nbformat_minor": 0 }