{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Copyright (c) 2024 Massachusetts Institute of Technology\n", "\n", "SPDX-License-Identifier: MIT" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Satellite Maneuvers\n", "Whether it's with a brief, powerful chemical thrust or a slow-and-steady electric propulsion, a maneuvering satellite can drastically change its orbit.\n", "\n", "With `madlib`, we can add both impulsive and continuous maneuvers to satellites in order to simulate these effects." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Impulsive Maneuvers\n", "The most common type of maneuver is *impulsive*: a chemical burn that significantly changes the velocity of the satellite in a short amount of time. Here, \"short\" is relative to the period of the satellite's orbit. An object in GEO could burn for 10 minutes, but since its period is 24 hours, we can simplify the physics by treating that maneuver as an instantaneous change in velocity.\n", "\n", "The first step to making a satellite with an impulsive maneuver in `madlib` is to make the satellite itself. We'll use a GEO object in this example:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import madlib\n", "\n", "epoch_mjd = 60197.5\n", "impulse_satellite = madlib.Satellite.from_GEO_longitude(lon=0.0, epoch=epoch_mjd)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next we'll define the maneuver, which is a 3-element `numpy` array of delta-v values (changes in speed) in the [RIC satellite body frame](https://ai-solutions.com/_help_Files/attitude_reference_frames.htm#achr_ric). Each delta-v is in units of **km/s**.\n", "\n", "We'll give our satellite an impulsive thrust of 0.0 km/s in the radial direction, 0.5 km/s in the in-track direction, and 0.1 km/s in the cross-track direction.\n", "\n", "We also have to define the time at which the maneuver will occur in MJD format. We'll burn 72 hours past the orbital epoch." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "\n", "delta_v = np.array([0.0, 0.5, 0.1]) # RIC: Radial, In-track, Cross-track (all in km/s)\n", "mnvr_time_mjd = epoch_mjd + 3.0\n", "\n", "mnvr = madlib.ImpulsiveManeuver(time=mnvr_time_mjd, dv=delta_v)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With the `ImpulsiveManeuver` object created, we just have to add it to our satellite." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "impulse_satellite.maneuver = mnvr" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's see what happens when we propagate the satellite for a full 96 hours, starting 48 hours before the maneuver" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "start_mjd = epoch_mjd + 1.0\n", "end_mjd = start_mjd + 4\n", "dt = 10.0 / 60 / 24 # Report the position every 10 minutes, converted into days\n", "\n", "obs_times_mjd = np.arange(start_mjd, end_mjd, dt)\n", "\n", "pos, vel = impulse_satellite.propagate(obs_times_mjd)\n", "\n", "from matplotlib import pyplot as plt\n", "%matplotlib inline\n", "\n", "x = pos[:, 0]\n", "y = pos[:, 1]\n", "z = pos[:, 2]\n", "t = obs_times_mjd - obs_times_mjd[0]\n", "fig, (ax1, ax2, ax3) = plt.subplots(3, sharex=True, figsize=(9, 9))\n", "ax1.plot(t, x, \"-or\", ms=5, lw=2)\n", "ax2.plot(t, y, \"-og\", ms=5, lw=2)\n", "ax3.plot(t, z, \"-ob\", ms=5, lw=2)\n", "plt.xlabel(\"Time (Days)\", fontsize=14)\n", "ax1.set(ylabel=\"X\", title=f\"TETED Coordinates of Satellite with Impulsive Maneuver (km)\")\n", "ax1.title.set_fontsize(16)\n", "ax1.yaxis.label.set_fontsize(14)\n", "ax1.yaxis.label.set_rotation(0)\n", "ax2.set(ylabel=\"Y\")\n", "ax2.yaxis.label.set_fontsize(14)\n", "ax2.yaxis.label.set_rotation(0)\n", "ax3.set(ylabel=\"Z\")\n", "ax3.yaxis.label.set_fontsize(14)\n", "ax3.yaxis.label.set_rotation(0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Just as expected, we see a huge change in the satellite's motion at the 48-hour mark, right when the maneuver occurs. Try out maneuvers in different directions to see how they affect the orbit.\n", "\n", "A maneuvering satellite can also be observed with a sensor or network of sensors as in previous example notebooks." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Continuous Maneuvers\n", "Recently, satellites that use electric propulsion have become more common. These provide relatively slow - but continuous - thrusts that can change an orbit over long periods of time.\n", "\n", "`madlib` allows us to simulate these maneuvers in a similar manner to the impulsive case. However, we have to use a special class, `ContinuousThrustSatellite`, instead of the regular `Satellite` class we've been using in previous examples." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "epoch_mjd = 60197.5\n", "continuous_satellite = madlib.ContinuousThrustSatellite.from_GEO_longitude(\n", " lon=0.0, epoch=epoch_mjd\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, we have to define our thrust vector as a function that will take in a time (formatted as a float) and return a 3-element `numpy` array representing the acceleration in the RIC frame (in units of km/s^2).\n", "\n", "Our example will make a constant thrust of 1e-5 km/s^2 in the In-track direction." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "accel_vec = [0, 1e-5, 0]\n", "\n", "\n", "def acc_f(t):\n", " return accel_vec" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We also have to define the start and stop times of the maneuver (in MJD format). We'll start burning at 72 hours past the orbital epoch and continue burning for 12 hours.\n", "\n", "With the acceleration function and maneuver times, we can create the maneuver object and add it to our satellite." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "mnvr_start = epoch_mjd + 3.0\n", "mnvr_end = mnvr_start + 0.5\n", "\n", "continuous_mnvr = madlib.ContinuousManeuver(f=acc_f, time_range=(mnvr_start, mnvr_end))\n", "\n", "continuous_satellite.maneuver = continuous_mnvr" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's see what this scenario looks like! We'll observe for the same timeframe as the example above. The effect will be more subtle than the impulsive case, so we'll also plot the maneuver-less orbit as dashed lines for comparison." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "comparison_satellite = madlib.Satellite.from_GEO_longitude(lon=0.0, epoch=epoch_mjd)\n", "\n", "start_mjd = epoch_mjd + 1.0\n", "end_mjd = start_mjd + 4\n", "dt = 10.0 / 60 / 24 # Report the position every 10 minutes, converted into days\n", "\n", "obs_times_mjd = np.arange(start_mjd, end_mjd, dt)\n", "\n", "pos, vel = continuous_satellite.propagate(obs_times_mjd)\n", "pos_compare, vel_compare = comparison_satellite.propagate(obs_times_mjd)\n", "\n", "x = pos[:, 0]\n", "y = pos[:, 1]\n", "z = pos[:, 2]\n", "t = obs_times_mjd - obs_times_mjd[0]\n", "\n", "xc = pos_compare[:, 0]\n", "yc = pos_compare[:, 1]\n", "zc = pos_compare[:, 2]\n", "\n", "fig, (ax1, ax2, ax3) = plt.subplots(3, sharex=True, figsize=(9, 9))\n", "ax1.plot(t, x, \"-r\", lw=4)\n", "ax1.plot(t, xc, \"--r\", lw=2)\n", "ax2.plot(t, y, \"-g\", lw=4)\n", "ax2.plot(t, yc, \"--g\", lw=2)\n", "ax3.plot(t, z, \"-b\", lw=4)\n", "ax3.plot(t, zc, \"--b\", lw=2)\n", "plt.xlabel(\"Time (Days)\", fontsize=14)\n", "ax1.set(\n", " ylabel=\"X\", title=f\"TETED Coordinates of Satellite with Continuous Maneuver (km)\"\n", ")\n", "ax1.title.set_fontsize(16)\n", "ax1.yaxis.label.set_fontsize(14)\n", "ax1.yaxis.label.set_rotation(0)\n", "ax2.set(ylabel=\"Y\")\n", "ax2.yaxis.label.set_fontsize(14)\n", "ax2.yaxis.label.set_rotation(0)\n", "ax3.set(ylabel=\"Z\")\n", "ax3.yaxis.label.set_fontsize(14)\n", "ax3.yaxis.label.set_rotation(0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the future, we plan to expand upon the continuous maneuvering capabilities of `madlib` so that the thrust can be turned on and off multiple times according to a schedule or duty cycle." ] }, { "cell_type": "markdown", "metadata": {}, "source": [] } ], "metadata": { "kernelspec": { "display_name": "maddg", "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": "3.11.5" }, "orig_nbformat": 4 }, "nbformat": 4, "nbformat_minor": 2 }