{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Example - 12 - Neptune Aerocapture - Part 2b: Monte Carlo Simulations" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this example, we will demonstrate the another published result for aerocapture at Neptune." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We reproduce the example Monte Carlo results from \"Girija, Saikia, Longuski et al. Feasibility and Performance Analysis of Neptune Aerocapture Using Heritage Blunt-Body Aeroshells, Journal of Spacecraft and Rockets, June, 2020, In press. DOI: 10.2514/1.A34719. Refer Section VIII A: Results for **retrograde** entry with maximum range of FMINMAX." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from AMAT.planet import Planet\n", "from AMAT.vehicle import Vehicle\n", "\n", "import numpy as np\n", "from scipy import interpolate\n", "import pandas as pd\n", "\n", "import matplotlib.pyplot as plt\n", "from matplotlib import rcParams\n", "from matplotlib.patches import Polygon" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Create a planet object\n", "planet=Planet(\"NEPTUNE\")\n", "\n", "# Load an nominal atmospheric profile with height, temp, pressure, density data\n", "planet.loadAtmosphereModel('../atmdata/Neptune/neptune-gram-avg.dat', 0 , 7 , 6 , 5 , \\\n", " heightInKmFlag=True)\n", "\n", "# Create a vehicle object\n", "vehicle=Vehicle('Trident', 1000.0, 200.0, 0.40, 3.1416, 0.0, 1.00, planet)\n", "\n", "# Set vehicle conditions at entry interface\n", "# Note these conditions are for retrograde equatorial entry\n", "# The EFPA selection process is described in Sec. VII in the reference article.\n", "vehicle.setInitialState(1000.0, 0.0, 0.0, 33.00, 180.0,-11.43, 0.0, 0.0)\n", "vehicle.setSolverParams(1E-6)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "vehicle.setMaxRollRate(30.0)\n", "vehicle.setEquilibriumGlideParams(75.0, 3.0, 18.9, 120.0, 101, -500.0)\n", "vehicle.setTargetOrbitParams(4000.0, 400.0E3, 10.0E3)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "atmfiles = ['../atmdata/Neptune/FMINMAX-10L.txt', \n", " '../atmdata/Neptune/FMINMAX-08L.txt',\n", " '../atmdata/Neptune/FMINMAX-06L.txt', \n", " '../atmdata/Neptune/FMINMAX-04L.txt',\n", " '../atmdata/Neptune/FMINMAX-02L.txt',\n", " '../atmdata/Neptune/FMINMAX+00L.txt', \n", " '../atmdata/Neptune/FMINMAX+02L.txt',\n", " '../atmdata/Neptune/FMINMAX+04L.txt',\n", " '../atmdata/Neptune/FMINMAX+06L.txt',\n", " '../atmdata/Neptune/FMINMAX+08L.txt', \n", " '../atmdata/Neptune/FMINMAX+10L.txt']" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "vehicle.setupMonteCarloSimulation(1086, 200, atmfiles, 0, 1, 2, 3, 4, True, \\\n", " -11.43, 0.11, 0.40, 0.013, 0.5, 0.1, 2400.0) " ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "BATCH :../data/girijaSaikia2020b/MCBX, RUN #: 1, PROF: ../atmdata/Neptune/FMINMAX+06L.txt, SAMPLE #: 42, EFPA: -11.53, SIGMA: 1.86, LD: 0.41, APO : 210233.74\n", "BATCH :../data/girijaSaikia2020b/MCBX, RUN #: 2, PROF: ../atmdata/Neptune/FMINMAX+00L.txt, SAMPLE #: 82, EFPA: -11.47, SIGMA: 0.65, LD: 0.42, APO : 404021.05\n", "BATCH :../data/girijaSaikia2020b/MCBX, RUN #: 3, PROF: ../atmdata/Neptune/FMINMAX-08L.txt, SAMPLE #: 197, EFPA: -11.39, SIGMA: -0.66, LD: 0.39, APO : 389028.95\n", "BATCH :../data/girijaSaikia2020b/MCBX, RUN #: 4, PROF: ../atmdata/Neptune/FMINMAX+06L.txt, SAMPLE #: 172, EFPA: -11.34, SIGMA: 0.10, LD: 0.40, APO : 374039.92\n", "BATCH :../data/girijaSaikia2020b/MCBX, RUN #: 5, PROF: ../atmdata/Neptune/FMINMAX+08L.txt, SAMPLE #: 160, EFPA: -11.48, SIGMA: -0.25, LD: 0.41, APO : 294339.22\n", "BATCH :../data/girijaSaikia2020b/MCBX, RUN #: 6, PROF: ../atmdata/Neptune/FMINMAX+04L.txt, SAMPLE #: 196, EFPA: -11.46, SIGMA: 0.90, LD: 0.40, APO : 404630.18\n", "BATCH :../data/girijaSaikia2020b/MCBX, RUN #: 7, PROF: ../atmdata/Neptune/FMINMAX-10L.txt, SAMPLE #: 167, EFPA: -11.44, SIGMA: 1.80, LD: 0.38, APO : 386631.37\n", "BATCH :../data/girijaSaikia2020b/MCBX, RUN #: 8, PROF: ../atmdata/Neptune/FMINMAX+08L.txt, SAMPLE #: 78, EFPA: -11.53, SIGMA: -0.14, LD: 0.42, APO : 209689.06\n", "BATCH :../data/girijaSaikia2020b/MCBX, RUN #: 9, PROF: ../atmdata/Neptune/FMINMAX+08L.txt, SAMPLE #: 135, EFPA: -11.46, SIGMA: 0.30, LD: 0.40, APO : 245398.87\n", "BATCH :../data/girijaSaikia2020b/MCBX, RUN #: 10, PROF: ../atmdata/Neptune/FMINMAX+10L.txt, SAMPLE #: 45, EFPA: -11.34, SIGMA: 0.40, LD: 0.40, APO : 410500.72\n" ] } ], "source": [ "# N = 10 shown here, run for a few thousand to be realistic. This will take several hours.\n", "\n", "vehicle.runMonteCarlo(100, '../data/girijaSaikia2020b/MCB1') " ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Simulation statistics\n", "----------------------------------------------\n", "No. of cases escaped :0\n", "No. of cases with apo. alt > 800.0E3 km :0\n" ] } ], "source": [ "peri = np.loadtxt('../data/girijaSaikia2020b/MCB1/terminal_periapsis_arr.txt')\n", "apoa = np.loadtxt('../data/girijaSaikia2020b/MCB1/terminal_apoapsis_arr.txt')\n", "\n", "peri_dv = np.loadtxt('../data/girijaSaikia2020b/MCB1/periapsis_raise_DV_arr.txt')\n", "\n", "del_index1 = np.where(apoa < 0)\n", "del_index2 = np.where(apoa>800.0E3)\n", "\n", "del_index = np.concatenate((del_index1, del_index2), axis=1)\n", "\n", "print('Simulation statistics')\n", "print('----------------------------------------------')\n", "print(\"No. of cases escaped :\"+str(len(del_index1[0])))\n", "print(\"No. of cases with apo. alt > 800.0E3 km :\"+str(len(del_index2[0])))\n" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "peri_new = np.delete(peri, del_index)\n", "apoa_new = np.delete(apoa, del_index)\n", "peri_dv_new = np.delete(peri_dv, del_index)\n" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "fig.set_size_inches([3.25,3.25])\n", "plt.rc('font',family='Times New Roman')\n", "params = {'mathtext.default': 'regular' } \n", "plt.rcParams.update(params)\n", "\n", "plt.plot(peri_new, apoa_new/1000.0, 'bo', markersize=3)\n", "\n", "plt.xlabel('Periapsis altitude, km',fontsize=10)\n", "plt.ylabel('Apoapsis altitude x '+r'$10^3$'+', km', fontsize=10)\n", "\n", "plt.axhline(y=350.0, linewidth=1, color='k', linestyle='dotted')\n", "plt.axhline(y=450.0, linewidth=1, color='k', linestyle='dotted')\n", "\n", "\n", "\n", "ax=plt.gca()\n", "ax.tick_params(direction='in')\n", "ax.yaxis.set_ticks_position('both')\n", "ax.xaxis.set_ticks_position('both')\n", "ax.tick_params(axis='x',labelsize=10)\n", "ax.tick_params(axis='y',labelsize=10)\n", "\n", "plt.savefig('../plots/girijaSaikia2020b-fig-13-N100.png',bbox_inches='tight')\n", "plt.savefig('../plots/girijaSaikia2020b-fig-13-N100.pdf', dpi=300,bbox_inches='tight')\n", "plt.savefig('../plots/girijaSaikia2020b-fig-13-N100.eps', dpi=300,bbox_inches='tight')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This plot only has 100 trajectories. Below is a similar plot with 5000 trajectories" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "execution_count": 11, "metadata": { "image/png": { "width": 400 } }, "output_type": "execute_result" } ], "source": [ "from IPython.display import Image\n", "Image(filename='../plots/retrograde-higher-res.png', width=400)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "fig.set_size_inches([3.25,3.25])\n", "plt.rc('font',family='Times New Roman')\n", "params = {'mathtext.default': 'regular' } \n", "plt.rcParams.update(params)\n", "\n", "plt.hist(apoa_new/1000.0, bins=50, color='xkcd:periwinkle')\n", "plt.xlabel('Apoapsis altitude x '+r'$10^3$'+', km', fontsize=10)\n", "plt.ylabel('Number of cases', fontsize=10)\n", "ax=plt.gca()\n", "ax.tick_params(direction='in')\n", "ax.yaxis.set_ticks_position('both')\n", "ax.xaxis.set_ticks_position('both')\n", "ax.tick_params(axis='x',labelsize=10)\n", "ax.tick_params(axis='y',labelsize=10)\n", "\n", "plt.savefig('../plots/girijaSaikia2020b-apo-histogram-N100.png',bbox_inches='tight')\n", "plt.savefig('../plots/girijaSaikia2020b-apo-histogram-N100.pdf', dpi=300,bbox_inches='tight')\n", "plt.savefig('../plots/girijaSaikia2020b-apo-histogram-N100.eps', dpi=300,bbox_inches='tight')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With more runs, the apoapsis histograms is as shown below." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "execution_count": 16, "metadata": { "image/png": { "width": 400 } }, "output_type": "execute_result" } ], "source": [ "from IPython.display import Image\n", "Image(filename='../plots/retrograde-apo-hist-higher-res.png', width=400)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Congratulations!** You have now perfomed and post-processed the results from a Monte Carlo simulation for aerocapture at Neptune." ] } ], "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": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 2 }