{ "cells": [ { "cell_type": "markdown", "id": "7d3bbaeb", "metadata": {}, "source": [ "# Example - 64 - Probe and Orbiter Trajectory" ] }, { "cell_type": "markdown", "id": "111bf35d", "metadata": {}, "source": [ "In this example, we illustrate the approach trajectories for an atmospheric entry probe, and an orbiter spacecraft which performs propulsive orbit insertion immediately after probe entry." ] }, { "cell_type": "markdown", "id": "846576c6", "metadata": {}, "source": [ "**Note**: This example requires Mayavi for visualization and requires the following packages to be to be installed in your virtual env: ```pyqt5```, ```vtk```, ```mayavi```." ] }, { "cell_type": "markdown", "id": "f5f42305", "metadata": {}, "source": [ "**Note**: For the 3D viz, tt is recommended that you run this example by running the python file using: ```python example-64-probe-and-orbiter-trajectory.py``` from your virtual env terminal instead of this Jupyter Notebook. If you use this Jupyter Notebook, then you need to have the following additional packages installed ```ipywidgets``` and ```ipyevents```, and must do ```jupyter nbextension install --py mayavi --user``` before you start the notebook." ] }, { "cell_type": "code", "execution_count": 1, "id": "a5116f83", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Notebook initialized with ipy backend.\n" ] } ], "source": [ "from mayavi import mlab\n", "mlab.init_notebook(backend='ipy')\n", "\n", "import numpy as np\n", "\n", "from AMAT.approach import Approach" ] }, { "cell_type": "markdown", "id": "80c0bdf5", "metadata": {}, "source": [ "## Compute the approach trajectories for the probe and the orbiter spacecraft which performs orbit insertion at 4000 km periapsis altitude" ] }, { "cell_type": "code", "execution_count": 2, "id": "843a66de", "metadata": {}, "outputs": [], "source": [ "probe = Approach(\"NEPTUNE\",\n", " v_inf_vec_icrf_kms=np.array([17.78952518, 8.62038536, 3.15801163]),\n", " rp=(24764 + 400) * 1e3, psi=3*np.pi/2,\n", " is_entrySystem=True, h_EI=1000e3)\n", "\n", "\n", "space = Approach(\"NEPTUNE\",\n", " v_inf_vec_icrf_kms=np.array([17.78952518, 8.62038536, 3.15801163]),\n", " rp=(24764 + 4000) * 1e3, psi=3*np.pi/2)\n", "\n", "theta_star_arr_probe = np.linspace(-1.8, probe.theta_star_entry, 101)\n", "pos_vec_bi_arr_probe = probe.pos_vec_bi(theta_star_arr_probe)/24764e3\n", "\n", "\n", "theta_star_arr_space = np.linspace(-1.8, -0.03, 101)\n", "pos_vec_bi_arr_space = space.pos_vec_bi(theta_star_arr_space)/24764e3\n", "\n", "x_arr_probe = pos_vec_bi_arr_probe[0][:]\n", "y_arr_probe = pos_vec_bi_arr_probe[1][:]\n", "z_arr_probe = pos_vec_bi_arr_probe[2][:]\n", "\n", "x_arr_space = pos_vec_bi_arr_space[0][:]\n", "y_arr_space = pos_vec_bi_arr_space[1][:]\n", "z_arr_space = pos_vec_bi_arr_space[2][:]\n", "\n", "\n", "u = np.linspace(0, 2 * np.pi, 100)\n", "v = np.linspace(0, np.pi, 100)\n", "x = 1*np.outer(np.cos(u), np.sin(v))\n", "y = 1*np.outer(np.sin(u), np.sin(v))\n", "z = 1*np.outer(np.ones(np.size(u)), np.cos(v))\n", "\n", "x1 = 1.040381198513972*np.outer(np.cos(u), np.sin(v))\n", "y1 = 1.040381198513972*np.outer(np.sin(u), np.sin(v))\n", "z1 = 1.040381198513972*np.outer(np.ones(np.size(u)), np.cos(v))\n", "\n", "\n", "x_ring_1 = 1.1*np.cos(u)\n", "y_ring_1 = 1.1*np.sin(u)\n", "z_ring_1 = 0.0*np.cos(u)\n", "\n", "x_ring_2 = 1.2*np.cos(u)\n", "y_ring_2 = 1.2*np.sin(u)\n", "z_ring_2 = 0.0*np.cos(u)\n", "\n", "mlab.figure(bgcolor=(0,0,0))\n", "s1 = mlab.mesh(x, y, z, color=(0,0,1))\n", "s2 = mlab.mesh(x1, y1, z1, color=(0,0,1), opacity=0.3)\n", "r1 = mlab.plot3d(x_ring_1, y_ring_1, z_ring_1, color=(1,1,1), line_width=1, tube_radius=None)\n", "r2 = mlab.plot3d(x_ring_2, y_ring_2, z_ring_2, color=(1,1,1), line_width=1, tube_radius=None)\n", "\n", "p1 = mlab.plot3d(x_arr_probe, y_arr_probe, z_arr_probe, color=(1,0,0), line_width=3, tube_radius=None)\n", "p2 = mlab.plot3d(x_arr_space, y_arr_space, z_arr_space, color=(0,1,0), line_width=3, tube_radius=None)\n", "\n", "mlab.show()" ] }, { "cell_type": "markdown", "id": "9c8223d0", "metadata": {}, "source": [ "## Plot the approach trajectories ofthe probe and the spacecraft orbiter" ] }, { "cell_type": "code", "execution_count": 3, "id": "82a09f02", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "execution_count": 3, "metadata": { "image/png": { "width": 800 } }, "output_type": "execute_result" } ], "source": [ "from IPython.display import Image\n", "Image(filename=\"../plots/example-64-probe-and-orbiter-trajectory.png\", width=800)" ] }, { "cell_type": "markdown", "id": "957bc735", "metadata": {}, "source": [ "## Compute the atmosphere-relative entry conditions for the probe" ] }, { "cell_type": "code", "execution_count": 4, "id": "0d2c1e68", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Entry altitude, km: 1000.0\n", "Entry longitude BI, deg: -74.91\n", "Entry latitude BI, deg: 1.66\n", "Atm. relative entry speed, km/s: 27.866\n", "Atm. relative heading angle, deg: 13.7856\n", "Atm. relative EFPA, deg: -10.0695\n" ] } ], "source": [ "print(\"Entry altitude, km: \"+ str(probe.h_EI/1e3))\n", "print(\"Entry longitude BI, deg: \"+ str(round(probe.longitude_entry_bi*180/np.pi, 2)))\n", "print(\"Entry latitude BI, deg: \"+ str(round(probe.latitude_entry_bi*180/np.pi, 2)))\n", "print(\"Atm. relative entry speed, km/s: \"+str(round(probe.v_entry_atm_mag/1e3, 4)))\n", "print(\"Atm. relative heading angle, deg: \"+str(round(probe.heading_entry_atm*180/np.pi, 4)))\n", "print(\"Atm. relative EFPA, deg: \"+str(round(probe.gamma_entry_atm*180/np.pi, 4)))" ] } ], "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 }