{ "cells": [ { "cell_type": "markdown", "id": "9e33a56f", "metadata": {}, "source": [ "# Example - 77 - Uranus Orbiter - Coast Phase and First Orbit" ] }, { "cell_type": "markdown", "id": "fe258b82", "metadata": {}, "source": [ "In this example, we illustrate the use of AMA.orbiter.Orbiter module to compute the hyperbolic approach trajectory, the conditions at atmospheric exit after aerocapture, trajectory of the coast phase after atmospheric exit, and the first full orbit after periapsis raise manuever." ] }, { "cell_type": "code", "execution_count": 1, "id": "1aa020fd", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "\n", "from AMAT.planet import Planet\n", "from AMAT.vehicle import Vehicle\n", "from AMAT.approach import Approach\n", "from AMAT.orbiter import Orbiter" ] }, { "cell_type": "markdown", "id": "d94c0cdd", "metadata": {}, "source": [ "## Compute the approach trajectory" ] }, { "cell_type": "code", "execution_count": 2, "id": "53fdfdfa", "metadata": {}, "outputs": [], "source": [ "probe1 = Approach(\"URANUS\",\n", " v_inf_vec_icrf_kms=np.array([-9.62521831, 16.51192666, 7.46493598]),\n", " rp=(25559 + 345) * 1e3, psi=np.pi,\n", " is_entrySystem=True, h_EI=1000e3)\n", "\n", "theta_star_arr_probe1 = np.linspace(-1.8, probe1.theta_star_entry, 101)\n", "pos_vec_bi_arr_probe1 = probe1.pos_vec_bi(theta_star_arr_probe1) / 25559e3\n", "\n", "x_arr_probe1 = pos_vec_bi_arr_probe1[0][:]\n", "y_arr_probe1 = pos_vec_bi_arr_probe1[1][:]\n", "z_arr_probe1 = pos_vec_bi_arr_probe1[2][:]" ] }, { "cell_type": "markdown", "id": "114cad7f", "metadata": {}, "source": [ "## Compute the aerocapture corridor" ] }, { "cell_type": "code", "execution_count": 3, "id": "345737db", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Overshoot limit : -11.0088 deg\n", "Undershoot limit : -12.0264 deg\n", "TCW: 1.0176 deg\n" ] } ], "source": [ "# setup the Planet object\n", "planet=Planet(\"URANUS\")\n", "planet.h_skip = 1000e3\n", "planet.loadAtmosphereModel('../atmdata/Uranus/uranus-gram-avg.dat', 0 , 1 ,2, 3, heightInKmFlag=True)\n", "planet.h_low = 120e3\n", "planet.h_trap= 100e3\n", "\n", "# Setup the vehicle object : assume m=3000 kg, beta=200 kg/m2\n", "vehicle=Vehicle('Titania', 3200.0, 146 , 0.24, np.pi*4.5**2.0, 0.0, 1.125, planet)\n", "vehicle.setInitialState(1000.0,-15.22,75.55,29.2877,88.687,-11.0 ,0.0,0.0)\n", "vehicle.setSolverParams(1E-6)\n", "\n", "# Compute the corridor bounds and TCW\n", "overShootLimit, exitflag_os = vehicle.findOverShootLimit2(2400.0,0.1,-25,-4.0,1E-10,500e3)\n", "underShootLimit, exitflag_us = vehicle.findUnderShootLimit2(2400.0,0.1,-25 ,-4.0,1E-10,500e3)\n", "\n", "# print the overshoot and undershoot limits we just computed.\n", "print(\"Overshoot limit : \"+str('{:.4f}'.format(overShootLimit))+ \" deg\")\n", "print(\"Undershoot limit : \"+str('{:.4f}'.format(underShootLimit))+ \" deg\")\n", "print(\"TCW: \"+ str('{:.4f}'.format(overShootLimit-underShootLimit))+ \" deg\")" ] }, { "cell_type": "markdown", "id": "b10e84eb", "metadata": {}, "source": [ "## Get a propagated vehicle object with an exit state" ] }, { "cell_type": "code", "execution_count": 4, "id": "1b307785", "metadata": {}, "outputs": [], "source": [ "# propogate the overshoot trajectory\n", "vehicle.setInitialState(1000.0,-15.22,75.55,29.2877,88.687,overShootLimit,0.0,0.0)\n", "vehicle.propogateEntry2(2400.0,0.1,180.0)" ] }, { "cell_type": "markdown", "id": "22e6d73d", "metadata": {}, "source": [ "## Compute the coast phase trajectory, PRM dv, and full orbit trajectory" ] }, { "cell_type": "code", "execution_count": 5, "id": "78ccb0ec", "metadata": {}, "outputs": [], "source": [ "orbiter = Orbiter(vehicle, peri_alt_km=4000.0)" ] }, { "cell_type": "code", "execution_count": 6, "id": "941b1e61", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "PRM DV VEC, m/s: [ 64.07245044 -12.31975871 8.76878289]\n", "PRM DV MAG, m/s: 65.83271916788875\n" ] } ], "source": [ "# print the periapsis raise manuever DV\n", "print(\"PRM DV VEC, m/s: \"+str(orbiter.PRM_dv_vec))\n", "print(\"PRM DV MAG, m/s: \"+str(orbiter.PRM_dv_mag))" ] }, { "cell_type": "markdown", "id": "acf3b55d", "metadata": {}, "source": [ "Run the file ```example-77-uranus-orbiter-coast-and-orbit.py``` for a visualization of the hyperbolic approach, coast phase and the final orbit trajectory." ] }, { "cell_type": "code", "execution_count": 7, "id": "684de913", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "execution_count": 7, "metadata": { "image/png": { "width": 1200 } }, "output_type": "execute_result" } ], "source": [ "from IPython.display import Image\n", "Image(filename=\"../plots/example-77-uranus-coast-and-orbit.png\", width=1200)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.8.10" } }, "nbformat": 4, "nbformat_minor": 5 }