Going to Mars in 5 minutes.ipynb

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   "source": [
    "# Going to Mars with Python using poliastro\n",
    "\n",
    "![poliastro](https://docs.poliastro.space/en/latest/_images/logo_text.png)\n",
    "\n",
    "## Juan Luis Cano Rodríguez <hello@juanlu.space>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
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     "slide_type": "fragment"
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   },
   "source": [
    "### ...in 5 minutes :)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## *Warning*: This *is* rocket science!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# What is Astrodynamics?\n",
    "\n",
    "> A branch of Mechanics (itself a branch of Physics) which studies practical problems concerning the motion of rockets and spacecraft throght space"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "![Rosetta's mission](http://www.esa.int/var/esa/storage/images/esa_multimedia/images/2014/10/rosetta_s_journey_and_timeline/14978088-1-eng-GB/Rosetta_s_journey_and_timeline_node_full_image_2.jpg)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# What is poliastro?\n",
    "\n",
    "> A pure Python library for Astrodynamics"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# Let's go to Mars!\n",
    "\n",
    "Perseverance trajectory:\n",
    "\n",
    "![Perseverance trajectory](perseverance.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
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   "outputs": [],
   "source": [
    "import warnings\n",
    "\n",
    "warnings.filterwarnings(\"ignore\")\n",
    "\n",
    "import numpy as np\n",
    "\n",
    "import astropy.units as u\n",
    "from astropy import time"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "# https://github.com/plotly/plotly.py/issues/1664#issuecomment-511773518\n",
    "import plotly.graph_objects as go\n",
    "import plotly.io as pio\n",
    "\n",
    "# Set default renderer\n",
    "pio.renderers.default = \"plotly_mimetype+notebook_connected+jupyterlab\"\n",
    "\n",
    "# Set default template\n",
    "pio.templates[\"slides\"] = go.layout.Template(layout=dict(width=700, height=550))\n",
    "pio.templates.default = \"plotly+slides\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Preliminaries: How to define an orbit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "from astropy import units as u"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
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   "outputs": [],
   "source": [
    "from poliastro.bodies import Earth, Mars, Sun\n",
    "from poliastro.twobody import Orbit\n",
    "\n",
    "r = [-6045, -3490, 2500] * u.km\n",
    "v = [-3.457, 6.618, 2.533] * u.km / u.s\n",
    "\n",
    "ss = Orbit.from_vectors(Earth, r, v)\n",
    "ss"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [],
   "source": [
    "ss.plot(interactive=True, label=\"Initial orbit\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## First: locate the planets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [],
   "source": [
    "from astropy.coordinates import solar_system_ephemeris\n",
    "\n",
    "solar_system_ephemeris.set(\"jpl\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "### Earth"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [],
   "source": [
    "from astropy import time\n",
    "\n",
    "from poliastro.ephem import Ephem\n",
    "\n",
    "date_launch = time.Time(\"2020-07-30 11:50\", scale=\"utc\").tdb\n",
    "\n",
    "earth_launch = Orbit.from_ephem(Sun, Ephem.from_body(Earth, date_launch), date_launch)\n",
    "earth_launch"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
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   },
   "outputs": [],
   "source": [
    "earth_launch.r"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [],
   "source": [
    "earth_launch.v"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "### Mars"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [],
   "source": [
    "date_arrival = time.Time(\"2021-02-18 20:55\", scale=\"utc\").tdb\n",
    "\n",
    "tof = date_arrival - date_launch\n",
    "\n",
    "mars_arrival = Orbit.from_ephem(Sun, Ephem.from_body(Mars, date_arrival), date_arrival)\n",
    "mars_arrival"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Second: Compute the trajectory"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [],
   "source": [
    "from poliastro.maneuver import Maneuver\n",
    "\n",
    "man_lambert = Maneuver.lambert(earth_launch, mars_arrival)\n",
    "\n",
    "# Get the transfer orbit\n",
    "ss_trans, _ = earth_launch.apply_maneuver(man_lambert, intermediate=True)\n",
    "ss_trans"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
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   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from poliastro.twobody.propagation import propagate\n",
    "\n",
    "tofs = time.TimeDelta(np.linspace(0 * u.h, tof.to(u.h), num=100))\n",
    "\n",
    "ss_trans_traj = propagate(\n",
    "    ss_trans,\n",
    "    tofs,\n",
    ")\n",
    "ss_trans_traj"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "### ...and it is pure Python!\n",
    "\n",
    "Trick: **numba**\n",
    "\n",
    "![Fortran and Python](benchmarks.png)\n",
    "\n",
    "From my paper Cano Rodríguez, Juan Luis, Helge Eichhorn, and Frazer McLean: poliastro: An Astrodynamics library written in Python with Fortran performance."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Third: Go to Mars!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [],
   "source": [
    "from poliastro.plotting import OrbitPlotter3D\n",
    "\n",
    "plotter = OrbitPlotter3D()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [],
   "source": [
    "plotter.plot(earth_launch, label=\"Earth at launch position\", color=\"navy\")\n",
    "plotter.plot(mars_arrival, label=\"Mars at arrival position\", color=\"red\")\n",
    "plotter.plot_trajectory(\n",
    "    ss_trans.sample(max_anomaly=145 * u.deg), color=\"black\", label=\"Transfer orbit\"\n",
    ")\n",
    "plotter.set_view(30 * u.deg, 260 * u.deg, distance=3 * u.km)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Fourth: Make it interactive!!!1!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [],
   "source": [
    "from ipywidgets import interact, interactive, FloatSlider, VBox\n",
    "from plotly.graph_objects import FigureWidget"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
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   "outputs": [],
   "source": [
    "def go_to_mars(tof_h):\n",
    "    date_arrival = date_launch + tof_h * u.h\n",
    "    mars_arrival = Orbit.from_ephem(Sun, Ephem.from_body(Mars, date_arrival), date_arrival)\n",
    "\n",
    "    man_lambert = Maneuver.lambert(earth_launch, mars_arrival)\n",
    "\n",
    "    # Get the transfer orbit\n",
    "    ss_trans, _ = earth_launch.apply_maneuver(man_lambert, intermediate=True)\n",
    "\n",
    "    tofs = time.TimeDelta(np.linspace(0 * u.h, tof_h * u.h, num=100))\n",
    "    ss_trans_traj = propagate(\n",
    "        ss_trans,\n",
    "        tofs,\n",
    "    )\n",
    "\n",
    "    with fig.batch_update():\n",
    "        # FIXME: Hack to animate the figure seamlessly\n",
    "        # that however adds more and more invisible traces to the figure\n",
    "        for trace in fig.data:\n",
    "            if \"Earth at launch position\" not in trace[\"name\"]:\n",
    "                trace.visible = False\n",
    "\n",
    "        plotter.plot(mars_arrival, label=\"Mars at arrival position\", color=\"red\")\n",
    "        plotter.plot_trajectory(ss_trans_traj, color=\"black\", label=\"Transfer orbit\")"
   ]
  },
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   "cell_type": "code",
   "execution_count": null,
   "metadata": {
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   },
   "outputs": [],
   "source": [
    "fig = FigureWidget()\n",
    "fig.layout.title = \"MSL Mission: from Earth to Mars\"\n",
    "\n",
    "# Plot Earth and set the view in advance\n",
    "plotter = OrbitPlotter3D(figure=fig)\n",
    "plotter.plot(earth_launch, label=\"Earth at launch position\", color=\"navy\")\n",
    "plotter.set_view(30 * u.deg, 260 * u.deg, distance=3 * u.km)\n",
    "\n",
    "slider = interactive(\n",
    "    go_to_mars,\n",
    "    tof_h=FloatSlider(\n",
    "        min=5_000, value=6_000, max=12_000, step=250, continuous_update=False\n",
    "    ),\n",
    ")"
   ]
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   "cell_type": "code",
   "execution_count": null,
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   "outputs": [],
   "source": [
    "VBox([slider, fig])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Thank you very much!\n",
    "\n",
    "### https://docs.poliastro.space\n",
    "### <hello@juanlu.space>\n",
    "\n",
    "![Rocket](http://www.esa.int/var/esa/storage/images/esa_multimedia/images/2012/02/liftoff_of_vega_vv014/9659852-3-eng-GB/Liftoff_of_Vega_VV01_large.jpg)"
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