{ "cells": [ { "cell_type": "markdown", "id": "05a0b4f5", "metadata": {}, "source": [ "# Section 08 - Performance Analysis - E - lower lift-to-drag ratio" ] }, { "cell_type": "code", "execution_count": 1, "id": "2fd5ec76", "metadata": {}, "outputs": [], "source": [ "from AMAT.planet import Planet\n", "from AMAT.vehicle import Vehicle" ] }, { "cell_type": "code", "execution_count": 2, "id": "e12da72e", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 3, "id": "a7899da6", "metadata": {}, "outputs": [], "source": [ "planet = Planet('URANUS')\n", "planet.loadAtmosphereModel('../../../atmdata/Uranus/uranus-gram-avg.dat', 0 , 1 ,2, 3, heightInKmFlag=True)\n", "planet.h_skip = 1000.0E3\n", "planet.h_low = 120e3\n", "planet.h_trap = 100e3" ] }, { "cell_type": "code", "execution_count": 36, "id": "6aabba09", "metadata": {}, "outputs": [], "source": [ "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,-11.7 ,0.0,0.0)\n", "vehicle.setSolverParams(1E-6)\n", "# Set the guidance parameters described in the paper.\n", "# See the function description for parameter details.\n", "\n", "# Set max roll rate constraint to 30 deg/s\n", "vehicle.setMaxRollRate(30.0)\n", "\n", "# Set Ghdot = 83\n", "# Set Gq = 9.0\n", "# Set v_switch_kms = 16.0 :: this parameter is not really used, and should just be set to low value\n", "# Set low_Alt_km = 120\n", "# Set numPoints_lowAlt = 101\n", "# Set hdot_threshold = -500 m/s\n", "vehicle.setEquilibriumGlideParams(83.0, 9.0, 16.0, 120.0, 101, -500.0)\n", "\n", "# Set target orbit parameters\n", "# periapsis = 4000.0 km\n", "# apoapsis = 550,000 km :: set slightly above target (500e3) to account for bias in targeting algorithm\n", "# apoapsis tolerance = 10 km\n", "vehicle.setTargetOrbitParams(4000.0, 550.0E3, 10.0E3)" ] }, { "cell_type": "code", "execution_count": 37, "id": "016c64d4", "metadata": {}, "outputs": [], "source": [ "# Set path to atmfiles with randomly perturbed atmosphere files.\n", "atmfiles = ['../../../atmdata/Uranus/perturbed/G-01.txt',\n", " '../../../atmdata/Uranus/perturbed/G-02.txt',\n", " '../../../atmdata/Uranus/perturbed/G-03.txt',\n", " '../../../atmdata/Uranus/perturbed/G-04.txt',\n", " '../../../atmdata/Uranus/perturbed/G-05.txt']" ] }, { "cell_type": "code", "execution_count": 38, "id": "bb531abc", "metadata": {}, "outputs": [], "source": [ "vehicle.setupMonteCarloSimulation(1201, 200, atmfiles, 0, 1, 2, 3, 4, True, \\\n", " -11.70, 0.10, 0.18, 0.013, 0.5, 0.1, 2400.0)" ] }, { "cell_type": "markdown", "id": "75cd9087", "metadata": {}, "source": [ "## Small run N = 200" ] }, { "cell_type": "code", "execution_count": 39, "id": "dc11080e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "RUN #: 1, SAMPLE #: 194, EFPA: -11.78, SIGMA: 0.44, LD: 0.18, APO : 491526.74\n", "RUN #: 2, SAMPLE #: 190, EFPA: -11.63, SIGMA: -1.96, LD: 0.18, APO : 552012.89\n", "RUN #: 3, SAMPLE #: 117, EFPA: -11.58, SIGMA: 0.96, LD: 0.16, APO : 512977.98\n", "RUN #: 4, SAMPLE #: 72, EFPA: -11.84, SIGMA: 1.56, LD: 0.17, APO : 571313.31\n", "RUN #: 5, SAMPLE #: 90, EFPA: -11.72, SIGMA: -0.32, LD: 0.19, APO : 527192.14\n", "RUN #: 6, SAMPLE #: 10, EFPA: -11.69, SIGMA: -0.75, LD: 0.17, APO : 531266.12\n", "RUN #: 7, SAMPLE #: 32, EFPA: -11.69, SIGMA: 0.70, LD: 0.20, APO : 531356.46\n", "RUN #: 8, SAMPLE #: 5, EFPA: -11.79, SIGMA: 1.18, LD: 0.18, APO : 512413.03\n", "RUN #: 9, SAMPLE #: 72, EFPA: -11.77, SIGMA: 0.31, LD: 0.17, APO : 585816.44\n", "RUN #: 10, SAMPLE #: 133, EFPA: -11.66, SIGMA: -1.01, LD: 0.19, APO : 552269.58\n", "RUN #: 11, SAMPLE #: 123, EFPA: -11.81, SIGMA: 0.74, LD: 0.17, APO : 536248.61\n", "RUN #: 12, SAMPLE #: 100, EFPA: -11.70, SIGMA: -0.98, LD: 0.17, APO : 481788.66\n", "RUN #: 13, SAMPLE #: 10, EFPA: -11.63, SIGMA: -0.84, LD: 0.18, APO : 509969.26\n", "RUN #: 14, SAMPLE #: 120, EFPA: -11.74, SIGMA: 1.57, LD: 0.18, APO : 538552.87\n", "RUN #: 15, SAMPLE #: 136, EFPA: -11.63, SIGMA: -0.73, LD: 0.17, APO : 527392.33\n", "RUN #: 16, SAMPLE #: 134, EFPA: -11.62, SIGMA: 0.09, LD: 0.18, APO : 496944.94\n", "RUN #: 17, SAMPLE #: 198, EFPA: -11.67, SIGMA: 0.78, LD: 0.22, APO : 519418.09\n", "RUN #: 18, SAMPLE #: 107, EFPA: -11.56, SIGMA: -0.12, LD: 0.18, APO : 628793.63\n", "RUN #: 19, SAMPLE #: 73, EFPA: -11.86, SIGMA: -0.19, LD: 0.18, APO : 528205.76\n", "RUN #: 20, SAMPLE #: 137, EFPA: -11.70, SIGMA: -0.54, LD: 0.21, APO : 474351.34\n", "RUN #: 21, SAMPLE #: 180, EFPA: -11.82, SIGMA: -1.03, LD: 0.18, APO : 562603.49\n", "RUN #: 22, SAMPLE #: 194, EFPA: -11.82, SIGMA: 1.11, LD: 0.16, APO : 507516.70\n", "RUN #: 23, SAMPLE #: 185, EFPA: -11.80, SIGMA: 1.02, LD: 0.18, APO : 528681.02\n", "RUN #: 24, SAMPLE #: 32, EFPA: -11.74, SIGMA: -0.98, LD: 0.19, APO : 498700.93\n", "RUN #: 25, SAMPLE #: 129, EFPA: -11.64, SIGMA: 1.17, LD: 0.17, APO : 521904.06\n", "RUN #: 26, SAMPLE #: 193, EFPA: -11.65, SIGMA: -1.04, LD: 0.17, APO : 522931.81\n", "RUN #: 27, SAMPLE #: 51, EFPA: -11.72, SIGMA: 0.45, LD: 0.17, APO : 539872.27\n", "RUN #: 28, SAMPLE #: 123, EFPA: -11.83, SIGMA: 0.58, LD: 0.18, APO : 528962.48\n", "RUN #: 29, SAMPLE #: 21, EFPA: -11.67, SIGMA: -0.16, LD: 0.19, APO : 553604.90\n", "RUN #: 30, SAMPLE #: 111, EFPA: -11.59, SIGMA: -0.59, LD: 0.20, APO : 548119.52\n", "RUN #: 31, SAMPLE #: 199, EFPA: -11.64, SIGMA: 0.14, LD: 0.18, APO : 536812.60\n", "RUN #: 32, SAMPLE #: 8, EFPA: -11.69, SIGMA: 1.40, LD: 0.16, APO : 474302.65\n", "RUN #: 33, SAMPLE #: 102, EFPA: -11.73, SIGMA: -0.80, LD: 0.17, APO : 508678.09\n", "RUN #: 34, SAMPLE #: 64, EFPA: -11.59, SIGMA: -0.00, LD: 0.16, APO : 576679.99\n", "RUN #: 35, SAMPLE #: 7, EFPA: -11.61, SIGMA: -0.94, LD: 0.17, APO : 551005.98\n", "RUN #: 36, SAMPLE #: 75, EFPA: -11.73, SIGMA: -0.93, LD: 0.19, APO : 529560.24\n", "RUN #: 37, SAMPLE #: 11, EFPA: -11.69, SIGMA: 1.79, LD: 0.18, APO : 519912.84\n", "RUN #: 38, SAMPLE #: 115, EFPA: -11.66, SIGMA: -0.17, LD: 0.17, APO : 531801.14\n", "RUN #: 39, SAMPLE #: 136, EFPA: -11.80, SIGMA: -0.16, LD: 0.16, APO : 490087.22\n", "RUN #: 40, SAMPLE #: 3, EFPA: -11.75, SIGMA: 0.24, LD: 0.20, APO : 503692.54\n", "RUN #: 41, SAMPLE #: 92, EFPA: -11.75, SIGMA: -0.05, LD: 0.19, APO : 487356.01\n", "RUN #: 42, SAMPLE #: 169, EFPA: -11.78, SIGMA: 1.81, LD: 0.20, APO : 591959.65\n", "RUN #: 43, SAMPLE #: 140, EFPA: -11.73, SIGMA: 0.68, LD: 0.20, APO : 520639.94\n", "RUN #: 44, SAMPLE #: 6, EFPA: -11.73, SIGMA: -0.35, LD: 0.18, APO : 491871.83\n", "RUN #: 45, SAMPLE #: 16, EFPA: -11.47, SIGMA: 1.60, LD: 0.18, APO : 564967.58\n", "RUN #: 46, SAMPLE #: 108, EFPA: -11.69, SIGMA: 0.51, LD: 0.18, APO : 536687.19\n", "RUN #: 47, SAMPLE #: 189, EFPA: -11.58, SIGMA: -1.86, LD: 0.17, APO : 577818.63\n", "RUN #: 48, SAMPLE #: 6, EFPA: -11.80, SIGMA: -1.41, LD: 0.19, APO : 521152.82\n", "RUN #: 49, SAMPLE #: 67, EFPA: -11.75, SIGMA: 0.95, LD: 0.17, APO : 485031.26\n", "RUN #: 50, SAMPLE #: 2, EFPA: -11.60, SIGMA: -0.13, LD: 0.18, APO : 513910.86\n", "RUN #: 51, SAMPLE #: 61, EFPA: -11.75, SIGMA: 0.86, LD: 0.18, APO : 504429.70\n", "RUN #: 52, SAMPLE #: 196, EFPA: -11.70, SIGMA: -1.18, LD: 0.17, APO : 575392.51\n", "RUN #: 53, SAMPLE #: 61, EFPA: -11.66, SIGMA: 0.57, LD: 0.17, APO : 526394.75\n", "RUN #: 54, SAMPLE #: 141, EFPA: -11.60, SIGMA: -1.17, LD: 0.21, APO : 565195.52\n", "RUN #: 55, SAMPLE #: 148, EFPA: -11.85, SIGMA: -0.04, LD: 0.19, APO : 481697.23\n", "RUN #: 56, SAMPLE #: 190, EFPA: -11.72, SIGMA: -0.66, LD: 0.19, APO : 514870.69\n", "RUN #: 57, SAMPLE #: 93, EFPA: -11.67, SIGMA: -1.05, LD: 0.16, APO : 480341.62\n", "RUN #: 58, SAMPLE #: 61, EFPA: -11.72, SIGMA: -2.14, LD: 0.19, APO : 546563.66\n", "RUN #: 59, SAMPLE #: 134, EFPA: -11.63, SIGMA: -1.06, LD: 0.19, APO : 511642.88\n", "RUN #: 60, SAMPLE #: 5, EFPA: -11.62, SIGMA: 2.51, LD: 0.20, APO : 505386.34\n", "RUN #: 61, SAMPLE #: 101, EFPA: -11.88, SIGMA: -2.07, LD: 0.19, APO : 513683.99\n", "RUN #: 62, SAMPLE #: 146, EFPA: -11.66, SIGMA: 1.37, LD: 0.19, APO : 526474.98\n", "RUN #: 63, SAMPLE #: 72, EFPA: -11.72, SIGMA: -2.57, LD: 0.16, APO : 574252.00\n", "RUN #: 64, SAMPLE #: 140, EFPA: -11.83, SIGMA: 0.32, LD: 0.18, APO : 563825.05\n", "RUN #: 65, SAMPLE #: 120, EFPA: -11.53, SIGMA: 0.17, LD: 0.17, APO : 491554.53\n", "RUN #: 66, SAMPLE #: 155, EFPA: -11.86, SIGMA: 0.63, LD: 0.18, APO : 529926.50\n", "RUN #: 67, SAMPLE #: 161, EFPA: -11.81, SIGMA: -0.48, LD: 0.19, APO : 537378.79\n", "RUN #: 68, SAMPLE #: 152, EFPA: -11.71, SIGMA: -1.04, LD: 0.16, APO : 509175.30\n", "RUN #: 69, SAMPLE #: 148, EFPA: -11.57, SIGMA: -0.85, LD: 0.18, APO : 565935.22\n", "RUN #: 70, SAMPLE #: 47, EFPA: -11.71, SIGMA: -0.94, LD: 0.19, APO : 508984.24\n", "RUN #: 71, SAMPLE #: 63, EFPA: -11.73, SIGMA: -0.25, LD: 0.20, APO : 595279.54\n", "RUN #: 72, SAMPLE #: 50, EFPA: -11.80, SIGMA: -0.71, LD: 0.19, APO : 588235.84\n", "RUN #: 73, SAMPLE #: 107, EFPA: -11.82, SIGMA: 0.50, LD: 0.18, APO : 533524.08\n", "RUN #: 74, SAMPLE #: 150, EFPA: -11.55, SIGMA: 1.28, LD: 0.19, APO : 564906.08\n", "RUN #: 75, SAMPLE #: 51, EFPA: -11.81, SIGMA: 1.24, LD: 0.17, APO : 563292.85\n", "RUN #: 76, SAMPLE #: 37, EFPA: -11.58, SIGMA: -0.44, LD: 0.17, APO : 553497.92\n", "RUN #: 77, SAMPLE #: 180, EFPA: -11.74, SIGMA: -0.16, LD: 0.19, APO : 561928.21\n", "RUN #: 78, SAMPLE #: 163, EFPA: -11.59, SIGMA: 1.23, LD: 0.19, APO : 520302.80\n", "RUN #: 79, SAMPLE #: 5, EFPA: -11.64, SIGMA: -1.91, LD: 0.18, APO : 497086.72\n", "RUN #: 80, SAMPLE #: 33, EFPA: -11.72, SIGMA: -0.14, LD: 0.17, APO : 510147.99\n", "RUN #: 81, SAMPLE #: 143, EFPA: -11.63, SIGMA: -1.14, LD: 0.20, APO : 551720.59\n", "RUN #: 82, SAMPLE #: 89, EFPA: -11.74, SIGMA: -0.64, LD: 0.16, APO : 517042.49\n", "RUN #: 83, SAMPLE #: 84, EFPA: -11.58, SIGMA: 0.06, LD: 0.17, APO : 490438.35\n", "RUN #: 84, SAMPLE #: 78, EFPA: -11.79, SIGMA: -0.55, LD: 0.18, APO : 556387.00\n", "RUN #: 85, SAMPLE #: 132, EFPA: -11.74, SIGMA: 0.18, LD: 0.17, APO : 510387.61\n", "RUN #: 86, SAMPLE #: 176, EFPA: -11.85, SIGMA: 0.20, LD: 0.19, APO : 566995.99\n", "RUN #: 87, SAMPLE #: 38, EFPA: -11.43, SIGMA: 0.99, LD: 0.18, APO : 513973.84\n", "RUN #: 88, SAMPLE #: 54, EFPA: -11.78, SIGMA: -0.50, LD: 0.18, APO : 533231.51\n", "RUN #: 89, SAMPLE #: 117, EFPA: -11.49, SIGMA: 0.31, LD: 0.18, APO : 498282.78\n", "RUN #: 90, SAMPLE #: 111, EFPA: -11.75, SIGMA: 1.03, LD: 0.18, APO : 495020.75\n", "RUN #: 91, SAMPLE #: 33, EFPA: -11.72, SIGMA: 1.57, LD: 0.20, APO : 574586.40\n", "RUN #: 92, SAMPLE #: 132, EFPA: -11.73, SIGMA: -1.68, LD: 0.19, APO : 462482.80\n", "RUN #: 93, SAMPLE #: 36, EFPA: -11.86, SIGMA: 0.87, LD: 0.19, APO : 477859.13\n", "RUN #: 94, SAMPLE #: 10, EFPA: -11.57, SIGMA: -0.15, LD: 0.18, APO : 520765.60\n", "RUN #: 95, SAMPLE #: 117, EFPA: -11.57, SIGMA: 1.58, LD: 0.16, APO : 555568.10\n", "RUN #: 96, SAMPLE #: 79, EFPA: -11.68, SIGMA: 0.28, LD: 0.18, APO : 539123.86\n", "RUN #: 97, SAMPLE #: 182, EFPA: -11.92, SIGMA: -1.06, LD: 0.17, APO : 560416.35\n", "RUN #: 98, SAMPLE #: 162, EFPA: -11.56, SIGMA: 1.11, LD: 0.16, APO : 525960.97\n", "RUN #: 99, SAMPLE #: 79, EFPA: -11.68, SIGMA: -1.15, LD: 0.19, APO : 537797.55\n", "RUN #: 100, SAMPLE #: 68, EFPA: -11.91, SIGMA: -0.50, LD: 0.18, APO : 540014.67\n", "RUN #: 101, SAMPLE #: 166, EFPA: -11.66, SIGMA: -0.41, LD: 0.17, APO : 545120.47\n", "RUN #: 102, SAMPLE #: 109, EFPA: -11.67, SIGMA: -0.60, LD: 0.18, APO : 525754.63\n", "RUN #: 103, SAMPLE #: 89, EFPA: -11.74, SIGMA: 1.51, LD: 0.18, APO : 488336.11\n", "RUN #: 104, SAMPLE #: 53, EFPA: -11.73, SIGMA: -0.41, LD: 0.18, APO : 494023.77\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "RUN #: 105, SAMPLE #: 135, EFPA: -11.70, SIGMA: 0.25, LD: 0.18, APO : 524809.05\n", "RUN #: 106, SAMPLE #: 137, EFPA: -11.58, SIGMA: -1.79, LD: 0.19, APO : 511501.76\n", "RUN #: 107, SAMPLE #: 158, EFPA: -11.84, SIGMA: -0.05, LD: 0.16, APO : 514830.33\n", "RUN #: 108, SAMPLE #: 38, EFPA: -11.59, SIGMA: 0.11, LD: 0.18, APO : 463683.01\n", "RUN #: 109, SAMPLE #: 120, EFPA: -11.62, SIGMA: -1.57, LD: 0.21, APO : 534166.17\n", "RUN #: 110, SAMPLE #: 162, EFPA: -11.70, SIGMA: -0.73, LD: 0.17, APO : 488512.41\n", "RUN #: 111, SAMPLE #: 94, EFPA: -11.79, SIGMA: -0.29, LD: 0.17, APO : 486468.28\n", "RUN #: 112, SAMPLE #: 86, EFPA: -11.94, SIGMA: 0.96, LD: 0.17, APO : 573478.35\n", "RUN #: 113, SAMPLE #: 37, EFPA: -11.74, SIGMA: -0.82, LD: 0.17, APO : 551083.58\n", "RUN #: 114, SAMPLE #: 1, EFPA: -11.62, SIGMA: 0.78, LD: 0.18, APO : 499462.33\n", "RUN #: 115, SAMPLE #: 104, EFPA: -11.87, SIGMA: -0.49, LD: 0.15, APO : 515032.80\n", "RUN #: 116, SAMPLE #: 153, EFPA: -11.68, SIGMA: -0.04, LD: 0.16, APO : 530134.79\n", "RUN #: 117, SAMPLE #: 111, EFPA: -11.81, SIGMA: 0.08, LD: 0.18, APO : 542004.73\n", "RUN #: 118, SAMPLE #: 165, EFPA: -11.86, SIGMA: 0.42, LD: 0.19, APO : 497855.40\n", "RUN #: 119, SAMPLE #: 190, EFPA: -11.64, SIGMA: -0.85, LD: 0.18, APO : 535793.76\n", "RUN #: 120, SAMPLE #: 81, EFPA: -11.70, SIGMA: -0.28, LD: 0.20, APO : 572600.91\n", "RUN #: 121, SAMPLE #: 36, EFPA: -11.99, SIGMA: -0.14, LD: 0.17, APO : 551210.96\n", "RUN #: 122, SAMPLE #: 19, EFPA: -11.73, SIGMA: -0.59, LD: 0.18, APO : 487576.32\n", "RUN #: 123, SAMPLE #: 138, EFPA: -11.60, SIGMA: -1.21, LD: 0.17, APO : 506834.17\n", "RUN #: 124, SAMPLE #: 27, EFPA: -11.84, SIGMA: 1.03, LD: 0.19, APO : 493896.31\n", "RUN #: 125, SAMPLE #: 32, EFPA: -11.62, SIGMA: 0.57, LD: 0.19, APO : 515799.40\n", "RUN #: 126, SAMPLE #: 54, EFPA: -11.83, SIGMA: -0.20, LD: 0.20, APO : 552330.89\n", "RUN #: 127, SAMPLE #: 142, EFPA: -11.64, SIGMA: -0.17, LD: 0.16, APO : 542439.13\n", "RUN #: 128, SAMPLE #: 17, EFPA: -11.71, SIGMA: 1.00, LD: 0.17, APO : 494607.35\n", "RUN #: 129, SAMPLE #: 23, EFPA: -11.70, SIGMA: 0.74, LD: 0.18, APO : 547621.16\n", "RUN #: 130, SAMPLE #: 17, EFPA: -11.69, SIGMA: -0.94, LD: 0.18, APO : 544791.12\n", "RUN #: 131, SAMPLE #: 155, EFPA: -11.75, SIGMA: -1.08, LD: 0.18, APO : 489581.15\n", "RUN #: 132, SAMPLE #: 137, EFPA: -11.78, SIGMA: 1.18, LD: 0.16, APO : 528818.81\n", "RUN #: 133, SAMPLE #: 86, EFPA: -11.61, SIGMA: -0.16, LD: 0.17, APO : 549907.33\n", "RUN #: 134, SAMPLE #: 1, EFPA: -11.64, SIGMA: 0.33, LD: 0.16, APO : 481473.61\n", "RUN #: 135, SAMPLE #: 78, EFPA: -11.65, SIGMA: 1.32, LD: 0.18, APO : 517265.81\n", "RUN #: 136, SAMPLE #: 170, EFPA: -11.59, SIGMA: -0.65, LD: 0.18, APO : 557250.58\n", "RUN #: 137, SAMPLE #: 177, EFPA: -11.70, SIGMA: -1.05, LD: 0.19, APO : 477856.40\n", "RUN #: 138, SAMPLE #: 89, EFPA: -11.65, SIGMA: 1.18, LD: 0.16, APO : 504012.53\n", "RUN #: 139, SAMPLE #: 48, EFPA: -11.65, SIGMA: 0.24, LD: 0.18, APO : 544950.75\n", "RUN #: 140, SAMPLE #: 187, EFPA: -11.81, SIGMA: -0.16, LD: 0.19, APO : 556991.45\n", "RUN #: 141, SAMPLE #: 182, EFPA: -11.78, SIGMA: -1.34, LD: 0.17, APO : 558063.78\n", "RUN #: 142, SAMPLE #: 109, EFPA: -11.79, SIGMA: 1.07, LD: 0.19, APO : 509364.80\n", "RUN #: 143, SAMPLE #: 100, EFPA: -11.79, SIGMA: 1.43, LD: 0.18, APO : 544882.32\n", "RUN #: 144, SAMPLE #: 161, EFPA: -11.72, SIGMA: 0.55, LD: 0.15, APO : 511087.21\n", "RUN #: 145, SAMPLE #: 97, EFPA: -11.58, SIGMA: -0.52, LD: 0.17, APO : 533614.24\n", "RUN #: 146, SAMPLE #: 138, EFPA: -11.71, SIGMA: 1.85, LD: 0.19, APO : 505655.11\n", "RUN #: 147, SAMPLE #: 3, EFPA: -11.78, SIGMA: 2.27, LD: 0.18, APO : 523892.55\n", "RUN #: 148, SAMPLE #: 84, EFPA: -11.87, SIGMA: -0.93, LD: 0.19, APO : 532988.74\n", "RUN #: 149, SAMPLE #: 14, EFPA: -11.70, SIGMA: -0.69, LD: 0.18, APO : 492103.23\n", "RUN #: 150, SAMPLE #: 64, EFPA: -11.55, SIGMA: 2.06, LD: 0.18, APO : 560215.58\n", "RUN #: 151, SAMPLE #: 167, EFPA: -11.68, SIGMA: 0.20, LD: 0.17, APO : 556688.93\n", "RUN #: 152, SAMPLE #: 184, EFPA: -11.82, SIGMA: 0.26, LD: 0.18, APO : 589944.43\n", "RUN #: 153, SAMPLE #: 131, EFPA: -11.76, SIGMA: -0.76, LD: 0.18, APO : 525020.93\n", "RUN #: 154, SAMPLE #: 171, EFPA: -11.75, SIGMA: -0.86, LD: 0.17, APO : 510048.37\n", "RUN #: 155, SAMPLE #: 51, EFPA: -11.76, SIGMA: -2.12, LD: 0.18, APO : 518802.71\n", "RUN #: 156, SAMPLE #: 112, EFPA: -11.63, SIGMA: 0.62, LD: 0.17, APO : 496097.58\n", "RUN #: 157, SAMPLE #: 28, EFPA: -11.54, SIGMA: 1.95, LD: 0.17, APO : 522317.79\n", "RUN #: 158, SAMPLE #: 134, EFPA: -11.70, SIGMA: 0.04, LD: 0.18, APO : 537658.50\n", "RUN #: 159, SAMPLE #: 188, EFPA: -11.65, SIGMA: 0.53, LD: 0.18, APO : 499844.48\n", "RUN #: 160, SAMPLE #: 183, EFPA: -11.64, SIGMA: 0.51, LD: 0.16, APO : 515892.92\n", "RUN #: 161, SAMPLE #: 19, EFPA: -11.63, SIGMA: -1.16, LD: 0.20, APO : 567234.97\n", "RUN #: 162, SAMPLE #: 41, EFPA: -11.78, SIGMA: -0.22, LD: 0.18, APO : 548506.44\n", "RUN #: 163, SAMPLE #: 76, EFPA: -11.65, SIGMA: -0.81, LD: 0.18, APO : 587066.14\n", "RUN #: 164, SAMPLE #: 90, EFPA: -11.72, SIGMA: -0.66, LD: 0.19, APO : 510333.90\n", "RUN #: 165, SAMPLE #: 47, EFPA: -12.02, SIGMA: -1.17, LD: 0.17, APO : 419713.69\n", "RUN #: 166, SAMPLE #: 113, EFPA: -11.60, SIGMA: -0.12, LD: 0.19, APO : 488143.86\n", "RUN #: 167, SAMPLE #: 31, EFPA: -11.77, SIGMA: 0.20, LD: 0.17, APO : 596053.95\n", "RUN #: 168, SAMPLE #: 12, EFPA: -11.66, SIGMA: -0.55, LD: 0.16, APO : 528943.56\n", "RUN #: 169, SAMPLE #: 144, EFPA: -11.69, SIGMA: -0.88, LD: 0.18, APO : 530110.00\n", "RUN #: 170, SAMPLE #: 173, EFPA: -11.73, SIGMA: 0.28, LD: 0.18, APO : 511546.42\n", "RUN #: 171, SAMPLE #: 135, EFPA: -11.72, SIGMA: 2.21, LD: 0.18, APO : 480939.25\n", "RUN #: 172, SAMPLE #: 133, EFPA: -11.72, SIGMA: 0.12, LD: 0.18, APO : 547914.70\n", "RUN #: 173, SAMPLE #: 29, EFPA: -11.68, SIGMA: 0.09, LD: 0.17, APO : 501368.91\n", "RUN #: 174, SAMPLE #: 151, EFPA: -11.56, SIGMA: 1.75, LD: 0.18, APO : 549628.92\n", "RUN #: 175, SAMPLE #: 30, EFPA: -11.91, SIGMA: 1.48, LD: 0.19, APO : 520730.21\n", "RUN #: 176, SAMPLE #: 61, EFPA: -11.65, SIGMA: 0.92, LD: 0.18, APO : 509436.02\n", "RUN #: 177, SAMPLE #: 51, EFPA: -11.71, SIGMA: -1.55, LD: 0.18, APO : 533197.69\n", "RUN #: 178, SAMPLE #: 14, EFPA: -11.73, SIGMA: -0.97, LD: 0.18, APO : 490860.80\n", "RUN #: 179, SAMPLE #: 193, EFPA: -11.64, SIGMA: -0.73, LD: 0.19, APO : 547853.74\n", "RUN #: 180, SAMPLE #: 24, EFPA: -11.68, SIGMA: 1.43, LD: 0.19, APO : 561798.19\n", "RUN #: 181, SAMPLE #: 62, EFPA: -11.73, SIGMA: 0.87, LD: 0.17, APO : 514610.30\n", "RUN #: 182, SAMPLE #: 38, EFPA: -11.82, SIGMA: -1.00, LD: 0.18, APO : 527914.46\n", "RUN #: 183, SAMPLE #: 185, EFPA: -11.77, SIGMA: 0.18, LD: 0.17, APO : 488501.27\n", "RUN #: 184, SAMPLE #: 127, EFPA: -11.66, SIGMA: 0.34, LD: 0.18, APO : 541226.13\n", "RUN #: 185, SAMPLE #: 198, EFPA: -11.73, SIGMA: -0.18, LD: 0.17, APO : 517869.53\n", "RUN #: 186, SAMPLE #: 190, EFPA: -11.61, SIGMA: 1.17, LD: 0.15, APO : 490728.37\n", "RUN #: 187, SAMPLE #: 72, EFPA: -11.66, SIGMA: 0.09, LD: 0.19, APO : 518588.55\n", "RUN #: 188, SAMPLE #: 196, EFPA: -11.85, SIGMA: -1.36, LD: 0.16, APO : 507235.90\n", "RUN #: 189, SAMPLE #: 156, EFPA: -11.79, SIGMA: -0.37, LD: 0.19, APO : 499120.31\n", "RUN #: 190, SAMPLE #: 43, EFPA: -11.77, SIGMA: -0.22, LD: 0.19, APO : 500487.67\n", "RUN #: 191, SAMPLE #: 6, EFPA: -11.54, SIGMA: -1.69, LD: 0.18, APO : 535781.80\n", "RUN #: 192, SAMPLE #: 194, EFPA: -11.57, SIGMA: -1.53, LD: 0.16, APO : 530677.27\n", "RUN #: 193, SAMPLE #: 20, EFPA: -11.67, SIGMA: 0.24, LD: 0.16, APO : 575290.03\n", "RUN #: 194, SAMPLE #: 170, EFPA: -11.69, SIGMA: 0.09, LD: 0.18, APO : 558777.59\n", "RUN #: 195, SAMPLE #: 15, EFPA: -11.79, SIGMA: -0.94, LD: 0.19, APO : 597536.66\n", "RUN #: 196, SAMPLE #: 79, EFPA: -11.49, SIGMA: -0.91, LD: 0.20, APO : 563795.79\n", "RUN #: 197, SAMPLE #: 44, EFPA: -11.66, SIGMA: 0.23, LD: 0.18, APO : 553128.39\n", "RUN #: 198, SAMPLE #: 8, EFPA: -11.77, SIGMA: 1.27, LD: 0.17, APO : 517033.99\n", "RUN #: 199, SAMPLE #: 76, EFPA: -11.82, SIGMA: -1.32, LD: 0.18, APO : 497095.82\n", "RUN #: 200, SAMPLE #: 80, EFPA: -11.82, SIGMA: -0.53, LD: 0.19, APO : 535946.90\n" ] } ], "source": [ "vehicle.runMonteCarlo2(200, '../../../data/acta-astronautica/uranus-orbiter-probe/MCBXE')" ] }, { "cell_type": "code", "execution_count": 4, "id": "c02a8682", "metadata": {}, "outputs": [], "source": [ "p1 = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXE/terminal_periapsis_arr.txt')\n", "x1 = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXE/terminal_apoapsis_arr.txt')\n", "y1 = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXE/acc_net_g_max_arr.txt')\n", "z1 = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXE/q_stag_max_arr.txt')\n", "h1 = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXE/heatload_max_arr.txt')\n", "u1 = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXE/periapsis_raise_DV_arr.txt')\n", "v1 = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXE/apoapsis_raise_DV_arr.txt')" ] }, { "cell_type": "code", "execution_count": 6, "id": "cf4145f7", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize = (6.5, 3.25))\n", "plt.rc('font',family='Times New Roman')\n", "params = {'mathtext.default': 'regular' }\n", "plt.rcParams.update(params)\n", "\n", "fig.tight_layout()\n", "plt.subplots_adjust(wspace=0.30)\n", "\n", "axes[0].hist(x1/1000.0, bins=10, color='xkcd:periwinkle')\n", "axes[0].set_xlabel('Apoapsis altitude x '+r'$10^3$'+', km', fontsize=12)\n", "axes[0].set_ylabel('Number of cases', fontsize=12)\n", "\n", "axes[0].tick_params(direction='in')\n", "axes[0].yaxis.set_ticks_position('both')\n", "axes[0].xaxis.set_ticks_position('both')\n", "axes[0].tick_params(axis='x',labelsize=12)\n", "axes[0].tick_params(axis='y',labelsize=12)\n", "\n", "\n", "axes[1].plot(p1, x1/1000.0, 'bo', markersize=5, mfc='None')\n", "\n", "axes[1].set_xlabel('Periapsis altitude, km',fontsize=12)\n", "axes[1].set_ylabel('Apoapsis altitude x '+r'$10^3$'+', km', fontsize=12)\n", "\n", "\n", "axes[1].tick_params(direction='in')\n", "axes[1].yaxis.set_ticks_position('both')\n", "axes[1].xaxis.set_ticks_position('both')\n", "axes[1].tick_params(axis='x',labelsize=12)\n", "axes[1].tick_params(axis='y',labelsize=12)\n", "\n", "for ax in axes:\n", " ax.xaxis.set_tick_params(direction='in', which='both')\n", " ax.yaxis.set_tick_params(direction='in', which='both')\n", " ax.xaxis.set_tick_params(width=1, length=8)\n", " ax.yaxis.set_tick_params(width=1, length=8)\n", " ax.xaxis.set_tick_params(width=1, length=6, which='minor')\n", " ax.yaxis.set_tick_params(width=1, length=6, which='minor')\n", " ax.xaxis.grid(which='major', color='k', linestyle='dotted', linewidth=0.5)\n", " ax.xaxis.grid(which='minor', color='k', linestyle='dotted', linewidth=0.0)\n", " ax.yaxis.grid(which='major', color='k', linestyle='dotted', linewidth=0.5)\n", " ax.yaxis.grid(which='minor', color='k', linestyle='dotted', linewidth=0.0)\n", "\n", " for axis in ['top', 'bottom', 'left', 'right']:\n", " ax.spines[axis].set_linewidth(2)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "3582b7d5", "metadata": {}, "source": [ "## Remove cases which did not capture" ] }, { "cell_type": "code", "execution_count": 7, "id": "3546740c", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(array([], dtype=int64),)" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "del_index1 = np.where(x1 < 0)\n", "del_index1" ] }, { "cell_type": "markdown", "id": "d0dd7381", "metadata": {}, "source": [ "No cases failed to capture. Nothing to delete." ] }, { "cell_type": "code", "execution_count": 44, "id": "5f3437e1", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize = (6.5, 3.25))\n", "plt.rc('font',family='Times New Roman')\n", "params = {'mathtext.default': 'regular' }\n", "plt.rcParams.update(params)\n", "\n", "fig.tight_layout()\n", "plt.subplots_adjust(wspace=0.30)\n", "\n", "axes[0].hist(x1/1000.0, bins=20, color='xkcd:periwinkle')\n", "axes[0].set_xlabel('Apoapsis altitude x '+r'$10^3$'+', km', fontsize=12)\n", "axes[0].set_ylabel('Number of cases', fontsize=12)\n", "\n", "axes[0].tick_params(direction='in')\n", "axes[0].yaxis.set_ticks_position('both')\n", "axes[0].xaxis.set_ticks_position('both')\n", "axes[0].tick_params(axis='x',labelsize=12)\n", "axes[0].tick_params(axis='y',labelsize=12)\n", "\n", "\n", "axes[1].plot(p1, x1/1000.0, 'bo', markersize=5, mfc='None')\n", "\n", "axes[1].set_xlabel('Periapsis altitude, km',fontsize=12)\n", "axes[1].set_ylabel('Apoapsis altitude x '+r'$10^3$'+', km', fontsize=12)\n", "\n", "\n", "axes[1].tick_params(direction='in')\n", "axes[1].yaxis.set_ticks_position('both')\n", "axes[1].xaxis.set_ticks_position('both')\n", "axes[1].tick_params(axis='x',labelsize=12)\n", "axes[1].tick_params(axis='y',labelsize=12)\n", "\n", "for ax in axes:\n", " ax.xaxis.set_tick_params(direction='in', which='both')\n", " ax.yaxis.set_tick_params(direction='in', which='both')\n", " ax.xaxis.set_tick_params(width=1, length=8)\n", " ax.yaxis.set_tick_params(width=1, length=8)\n", " ax.xaxis.set_tick_params(width=1, length=6, which='minor')\n", " ax.yaxis.set_tick_params(width=1, length=6, which='minor')\n", " ax.xaxis.grid(which='major', color='k', linestyle='dotted', linewidth=0.5)\n", " ax.xaxis.grid(which='minor', color='k', linestyle='dotted', linewidth=0.0)\n", " ax.yaxis.grid(which='major', color='k', linestyle='dotted', linewidth=0.5)\n", " ax.yaxis.grid(which='minor', color='k', linestyle='dotted', linewidth=0.0)\n", "\n", " for axis in ['top', 'bottom', 'left', 'right']:\n", " ax.spines[axis].set_linewidth(2)\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 8, "id": "55769abe", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "--------------------------------------------------------------------------------------------------------\n", "Parameter | Min. 0.13-percentile Mean 99.87-percentile Max\n", "--------------------------------------------------------------------------------------------------------\n", "Apoapsis altitude, km | 419714 430778 527364 620707 628794\n", "Periapsis altitude, km | 166 166 191 210 211\n", "Peak deceleration, g | 7.0 7.02 8.03 9.88 10.0\n", "Peak heat rate, W/cm2 | 1634 1634 1750 1887 1888\n", "Peak heat load, kJ/cm2 | 206 206 221 231 231\n", "Periapsis raise dV, m/s| 56.01 56.71 65.75 78.78 80.59\n", "Apoapsis corr. dV, m/s | -57.04 -51.62 20.76 122.95 136.54\n", "--------------------------------------------------------------------------------------------------------\n" ] } ], "source": [ "print(\"--------------------------------------------------------------------------------------------------------\")\n", "\n", "print(\"Parameter | Min. 0.13-percentile Mean 99.87-percentile Max\")\n", "print(\"--------------------------------------------------------------------------------------------------------\")\n", "print(\"Apoapsis altitude, km | \" + str(round(np.min(x1))) + \" \" + str(round(np.percentile(x1, 0.13))) +\\\n", " \" \" + str(round(np.average(x1))) +\n", " \" \" + str(round(np.percentile(x1, 99.87)))+\\\n", " \" \" + str(round(np.max(x1))))\n", "print(\"Periapsis altitude, km | \" + str(round(np.min(p1))) + \" \" + str(round(np.percentile(p1, 0.13))) +\\\n", " \" \" + str(round(np.average(p1))) +\n", " \" \" + str(round(np.percentile(p1, 99.87)))+\\\n", " \" \" + str(round(np.max(p1))))\n", "print(\"Peak deceleration, g | \" + str(round(np.min(y1), 2)) + \" \" + str(round(np.percentile(y1, 0.13), 2)) +\\\n", " \" \" + str(round(np.average(y1), 2)) +\n", " \" \" + str(round(np.percentile(y1, 99.87), 2))+\\\n", " \" \" + str(round(np.max(y1), 2)))\n", "\n", "print(\"Peak heat rate, W/cm2 | \" + str(round(np.min(z1))) + \" \" + str(round(np.percentile(z1, 0.13))) +\\\n", " \" \" + str(round(np.average(z1))) +\n", " \" \" + str(round(np.percentile(z1, 99.87)))+\\\n", " \" \" + str(round(np.max(z1))))\n", "\n", "print(\"Peak heat load, kJ/cm2 | \" + str(round(np.min(h1))) + \" \" + str(round(np.percentile(h1, 0.13))) +\\\n", " \" \" + str(round(np.average(h1))) +\n", " \" \" + str(round(np.percentile(h1, 99.87)))+\\\n", " \" \" + str(round(np.max(h1))))\n", "print(\"Periapsis raise dV, m/s| \" + str(round(np.min(u1), 2)) + \" \" + str(round(np.percentile(u1, 0.13), 2)) +\\\n", " \" \" + str(round(np.average(u1), 2)) +\n", " \" \" + str(round(np.percentile(u1, 99.87), 2))+\\\n", " \" \" + str(round(np.max(u1), 2)))\n", "\n", "print(\"Apoapsis corr. dV, m/s | \" + str(round(np.min(v1), 2)) + \" \" + str(round(np.percentile(v1, 0.13), 2)) +\\\n", " \" \" + str(round(np.average(v1), 2)) +\n", " \" \" + str(round(np.percentile(v1, 99.87), 2))+\\\n", " \" \" + str(round(np.max(v1), 2)))\n", "\n", "print(\"--------------------------------------------------------------------------------------------------------\")\n" ] }, { "cell_type": "code", "execution_count": 9, "id": "8808f519", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize = (6.75, 3.5))\n", "plt.rc('font',family='Times New Roman')\n", "params = {'mathtext.default': 'regular' }\n", "plt.rcParams.update(params)\n", "\n", "fig.tight_layout()\n", "plt.subplots_adjust(wspace=0.30)\n", "\n", "axes[0].axvline(x=550.0, linewidth=1.5, color='k', linestyle='dashed')\n", "axes[0].hist(x1/1000.0, bins=10, color='xkcd:periwinkle')\n", "axes[0].set_xlabel('Apoapsis altitude x '+r'$10^3$'+', km', fontsize=12)\n", "axes[0].set_ylabel('Number of cases', fontsize=12)\n", "\n", "axes[0].tick_params(direction='in')\n", "axes[0].yaxis.set_ticks_position('both')\n", "axes[0].xaxis.set_ticks_position('both')\n", "axes[0].tick_params(axis='x',labelsize=12)\n", "axes[0].tick_params(axis='y',labelsize=12)\n", "\n", "\n", "axes[1].plot(p1, x1/1000.0, 'bo', markersize=5, mfc='None')\n", "axes[1].axhline(y=550.0, linewidth=1.5, color='k', linestyle='dashed')\n", "\n", "axes[1].set_xlabel('Periapsis altitude, km',fontsize=12)\n", "axes[1].set_ylabel('Apoapsis altitude x '+r'$10^3$'+', km', fontsize=12)\n", "\n", "\n", "axes[1].tick_params(direction='in')\n", "axes[1].yaxis.set_ticks_position('both')\n", "axes[1].xaxis.set_ticks_position('both')\n", "axes[1].tick_params(axis='x',labelsize=12)\n", "axes[1].tick_params(axis='y',labelsize=12)\n", "\n", "for ax in axes:\n", " ax.xaxis.set_tick_params(direction='in', which='both')\n", " ax.yaxis.set_tick_params(direction='in', which='both')\n", " ax.xaxis.set_tick_params(width=1, length=8)\n", " ax.yaxis.set_tick_params(width=1, length=8)\n", " ax.xaxis.set_tick_params(width=1, length=6, which='minor')\n", " ax.yaxis.set_tick_params(width=1, length=6, which='minor')\n", " ax.xaxis.grid(which='major', color='k', linestyle='dotted', linewidth=0.5)\n", " ax.xaxis.grid(which='minor', color='k', linestyle='dotted', linewidth=0.0)\n", " ax.yaxis.grid(which='major', color='k', linestyle='dotted', linewidth=0.5)\n", " ax.yaxis.grid(which='minor', color='k', linestyle='dotted', linewidth=0.0)\n", "\n", " for axis in ['top', 'bottom', 'left', 'right']:\n", " ax.spines[axis].set_linewidth(2)\n", " \n", "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/periapsis-vs-apoapsis-XE.png', dpi= 300,bbox_inches='tight')\n", "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/periapsis-vs-apoapsis-XE.pdf', dpi=300,bbox_inches='tight')\n", "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/periapsis-vs-apoapsis-XE.eps', dpi=300,bbox_inches='tight')\n", "\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 10, "id": "23f4a898", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize = (6.75, 3.5))\n", "plt.rc('font',family='Times New Roman')\n", "params = {'mathtext.default': 'regular' }\n", "plt.rcParams.update(params)\n", "\n", "fig.tight_layout()\n", "plt.subplots_adjust(wspace=0.30)\n", "\n", "axes[0].plot(y1, z1, 'ro', markersize=5, mfc='None')\n", "axes[0].axhline(y=np.percentile(z1, 99.87), linewidth=1.5, color='k', linestyle='dotted')\n", "axes[0].axvline(x=np.percentile(y1, 99.87), linewidth=1.5, color='k', linestyle='dotted')\n", "axes[0].set_xlabel('Peak deceleration, Earth g', fontsize=12)\n", "axes[0].set_ylabel('Peak stagnation-point heat rate, '+r'$W/cm^2$', fontsize=12)\n", "axes[0].tick_params(direction='in')\n", "axes[0].yaxis.set_ticks_position('both')\n", "axes[0].xaxis.set_ticks_position('both')\n", "axes[0].tick_params(axis='x',labelsize=12)\n", "axes[0].tick_params(axis='y',labelsize=12)\n", "\n", "axes[1].plot(z1, h1, 'go', markersize=5, mfc='None')\n", "axes[1].axhline(y=np.percentile(h1, 99.87), linewidth=1.5, color='k', linestyle='dotted')\n", "axes[1].axvline(x=np.percentile(z1, 99.87), linewidth=1.5, color='k', linestyle='dotted')\n", "axes[1].set_xlabel('Peak stagnation-point heat rate, '+r'$W/cm^2$', fontsize=12)\n", "axes[1].set_ylabel('Peak stagnation-point heat load, '+r'$kJ/cm^2$', fontsize=12)\n", "axes[1].tick_params(direction='in')\n", "axes[1].yaxis.set_ticks_position('both')\n", "axes[1].xaxis.set_ticks_position('both')\n", "axes[1].tick_params(axis='x',labelsize=12)\n", "axes[1].tick_params(axis='y',labelsize=12)\n", "\n", "\n", "\n", "for ax in axes:\n", " ax.xaxis.set_tick_params(direction='in', which='both')\n", " ax.yaxis.set_tick_params(direction='in', which='both')\n", " ax.xaxis.set_tick_params(width=1, length=8)\n", " ax.yaxis.set_tick_params(width=1, length=8)\n", " ax.xaxis.set_tick_params(width=1, length=6, which='minor')\n", " ax.yaxis.set_tick_params(width=1, length=6, which='minor')\n", " ax.xaxis.grid(which='major', color='k', linestyle='dotted', linewidth=0.5)\n", " ax.xaxis.grid(which='minor', color='k', linestyle='dotted', linewidth=0.0)\n", " ax.yaxis.grid(which='major', color='k', linestyle='dotted', linewidth=0.5)\n", " ax.yaxis.grid(which='minor', color='k', linestyle='dotted', linewidth=0.0)\n", "\n", " for axis in ['top', 'bottom', 'left', 'right']:\n", " ax.spines[axis].set_linewidth(2)\n", " \n", "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/heat-rate-vs-g-load-XE.png', dpi= 300,bbox_inches='tight')\n", "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/heat-rate-vs-g-load-XE.pdf', dpi=300,bbox_inches='tight')\n", "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/heat-rate-vs-g-load-XE.eps', dpi=300,bbox_inches='tight')\n", "\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 11, "id": "d1a7fb4a", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize = (6.75, 3.5))\n", "plt.rc('font',family='Times New Roman')\n", "params = {'mathtext.default': 'regular' }\n", "plt.rcParams.update(params)\n", "\n", "fig.tight_layout()\n", "plt.subplots_adjust(wspace=0.30)\n", "\n", "\n", "axes[0].hist(u1, bins=10, color='xkcd:periwinkle')\n", "axes[0].axvline(x=np.percentile(u1, 99.87), linewidth=1.5, color='k', linestyle='dotted')\n", "axes[0].set_xlabel('Periapse raise '+r'$\\Delta V$'+', m/s', fontsize=12)\n", "axes[0].set_ylabel('Number of cases', fontsize=12)\n", "axes[0].tick_params(direction='in')\n", "axes[0].yaxis.set_ticks_position('both')\n", "axes[0].xaxis.set_ticks_position('both')\n", "axes[0].tick_params(axis='x',labelsize=12)\n", "axes[0].tick_params(axis='y',labelsize=12)\n", "\n", "axes[1].hist(v1, bins=10, color='xkcd:orange')\n", "axes[1].axvline(x=np.percentile(v1, 99.87), linewidth=1.5, color='k', linestyle='dotted')\n", "axes[1].set_xlabel('Apoapsis correction '+r'$\\Delta V$'+', m/s', fontsize=12)\n", "axes[1].set_ylabel('Number of cases', fontsize=12)\n", "axes[1].tick_params(direction='in')\n", "axes[1].yaxis.set_ticks_position('both')\n", "axes[1].xaxis.set_ticks_position('both')\n", "axes[1].tick_params(axis='x',labelsize=12)\n", "axes[1].tick_params(axis='y',labelsize=12)\n", "\n", "\n", "\n", "for ax in axes:\n", " ax.xaxis.set_tick_params(direction='in', which='both')\n", " ax.yaxis.set_tick_params(direction='in', which='both')\n", " ax.xaxis.set_tick_params(width=1, length=8)\n", " ax.yaxis.set_tick_params(width=1, length=8)\n", " ax.xaxis.set_tick_params(width=1, length=6, which='minor')\n", " ax.yaxis.set_tick_params(width=1, length=6, which='minor')\n", " ax.xaxis.grid(which='major', color='k', linestyle='dotted', linewidth=0.5)\n", " ax.xaxis.grid(which='minor', color='k', linestyle='dotted', linewidth=0.0)\n", " ax.yaxis.grid(which='major', color='k', linestyle='dotted', linewidth=0.5)\n", " ax.yaxis.grid(which='minor', color='k', linestyle='dotted', linewidth=0.0)\n", "\n", " for axis in ['top', 'bottom', 'left', 'right']:\n", " ax.spines[axis].set_linewidth(2)\n", " \n", "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/prm-arm-maneuvers-XE.png', dpi= 300,bbox_inches='tight')\n", "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/prm-arm-maneuvers-XE.pdf', dpi=300,bbox_inches='tight')\n", "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/prm-arm-maneuvers-XE.eps', dpi=300,bbox_inches='tight')\n", "\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 12, "id": "08cefff7", "metadata": {}, "outputs": [], "source": [ "def percent_between(a, lower, upper, closed_left=True, closed_right=True):\n", " \"\"\"\n", " Finds the percentage of values between a range for a numpy array\n", "\n", " Parameters\n", " ----------\n", " a: np.ndarray\n", " numpy array to calculate percentage\n", " lower: int, float\n", " lower bound\n", " upper: int, float\n", " upper bound\n", " closed_left:\n", " closed left bound ( > vs >= )\n", " closed_right:\n", " closed right bound ( < vs <= )\n", " \"\"\"\n", " l = np.greater if not closed_left else np.greater_equal\n", " r = np.less if not closed_right else np.less_equal\n", "\n", " c = l(a, lower) & r(a, upper)\n", " return np.count_nonzero(c) / float(a.size)" ] }, { "cell_type": "code", "execution_count": 13, "id": "897db306", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.0" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "percent_between(x1, -1e9, 0)" ] }, { "cell_type": "code", "execution_count": 51, "id": "34c7a258", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.78" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" } ], "source": [ "percent_between(x1, 500e3, 600e3)" ] }, { "cell_type": "code", "execution_count": 52, "id": "750d57ed", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.995" ] }, "execution_count": 52, "metadata": {}, "output_type": "execute_result" } ], "source": [ "percent_between(x1, 450e3, 650e3)" ] }, { "cell_type": "code", "execution_count": 53, "id": "b11149fd", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.0" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" } ], "source": [ "percent_between(x1, 350e3, 750e3)" ] } ], "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 }