{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "05a0b4f5",
   "metadata": {},
   "source": [
    "# Section 08 - Performance Analysis - F - higher 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": 24,
   "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": 25,
   "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": 26,
   "id": "bb531abc",
   "metadata": {},
   "outputs": [],
   "source": [
    "vehicle.setupMonteCarloSimulation(1201, 200, atmfiles, 0, 1, 2, 3, 4, True, \\\n",
    "                                 -11.70, 0.10, 0.30, 0.013, 0.5, 0.1, 2400.0)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "75cd9087",
   "metadata": {},
   "source": [
    "## Small run N = 200"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "dc11080e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RUN #: 1, SAMPLE #: 79, EFPA: -11.67, SIGMA: 0.75, LD: 0.30, APO : 511456.39\n",
      "RUN #: 2, SAMPLE #: 154, EFPA: -11.83, SIGMA: 0.17, LD: 0.30, APO : 509239.28\n",
      "RUN #: 3, SAMPLE #: 4, EFPA: -11.68, SIGMA: -0.47, LD: 0.30, APO : 511362.47\n",
      "RUN #: 4, SAMPLE #: 137, EFPA: -11.77, SIGMA: 1.76, LD: 0.27, APO : 561003.54\n",
      "RUN #: 5, SAMPLE #: 20, EFPA: -11.57, SIGMA: 1.76, LD: 0.33, APO : 564622.46\n",
      "RUN #: 6, SAMPLE #: 151, EFPA: -11.75, SIGMA: -0.91, LD: 0.31, APO : 512058.49\n",
      "RUN #: 7, SAMPLE #: 22, EFPA: -11.65, SIGMA: -0.27, LD: 0.33, APO : 557710.75\n",
      "RUN #: 8, SAMPLE #: 108, EFPA: -11.89, SIGMA: 0.02, LD: 0.29, APO : 506407.13\n",
      "RUN #: 9, SAMPLE #: 28, EFPA: -11.63, SIGMA: -0.09, LD: 0.31, APO : 572561.24\n",
      "RUN #: 10, SAMPLE #: 35, EFPA: -11.69, SIGMA: -0.07, LD: 0.29, APO : 548434.08\n",
      "RUN #: 11, SAMPLE #: 116, EFPA: -11.69, SIGMA: 0.47, LD: 0.29, APO : 507496.80\n",
      "RUN #: 12, SAMPLE #: 47, EFPA: -11.55, SIGMA: 0.71, LD: 0.29, APO : 477703.78\n",
      "RUN #: 13, SAMPLE #: 161, EFPA: -11.75, SIGMA: -1.04, LD: 0.30, APO : 514570.62\n",
      "RUN #: 14, SAMPLE #: 156, EFPA: -11.78, SIGMA: -0.94, LD: 0.29, APO : 525046.90\n",
      "RUN #: 15, SAMPLE #: 163, EFPA: -11.70, SIGMA: 0.80, LD: 0.29, APO : 540022.50\n",
      "RUN #: 16, SAMPLE #: 99, EFPA: -11.54, SIGMA: 1.40, LD: 0.30, APO : 568996.09\n",
      "RUN #: 17, SAMPLE #: 84, EFPA: -11.89, SIGMA: 1.54, LD: 0.29, APO : 566945.18\n",
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      "RUN #: 20, SAMPLE #: 24, EFPA: -11.59, SIGMA: -0.62, LD: 0.31, APO : 555124.70\n",
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      "RUN #: 24, SAMPLE #: 119, EFPA: -11.61, SIGMA: -0.22, LD: 0.30, APO : 481671.07\n",
      "RUN #: 25, SAMPLE #: 63, EFPA: -11.64, SIGMA: 0.65, LD: 0.29, APO : 554851.69\n",
      "RUN #: 26, SAMPLE #: 41, EFPA: -11.55, SIGMA: -1.21, LD: 0.31, APO : 567088.38\n",
      "RUN #: 27, SAMPLE #: 19, EFPA: -11.61, SIGMA: -0.97, LD: 0.34, APO : 505559.77\n",
      "RUN #: 28, SAMPLE #: 111, EFPA: -11.91, SIGMA: -0.11, LD: 0.30, APO : 551330.66\n",
      "RUN #: 29, SAMPLE #: 132, EFPA: -11.60, SIGMA: -1.06, LD: 0.34, APO : 497967.37\n",
      "RUN #: 30, SAMPLE #: 79, EFPA: -11.80, SIGMA: 0.08, LD: 0.30, APO : 506056.48\n",
      "RUN #: 31, SAMPLE #: 161, EFPA: -11.59, SIGMA: -0.91, LD: 0.30, APO : 523934.88\n",
      "RUN #: 32, SAMPLE #: 80, EFPA: -11.89, SIGMA: 0.10, LD: 0.31, APO : 530431.48\n",
      "RUN #: 33, SAMPLE #: 58, EFPA: -11.60, SIGMA: -1.97, LD: 0.30, APO : 503626.26\n",
      "RUN #: 34, SAMPLE #: 16, EFPA: -11.65, SIGMA: -0.60, LD: 0.29, APO : 491961.25\n",
      "RUN #: 35, SAMPLE #: 40, EFPA: -11.76, SIGMA: 0.01, LD: 0.29, APO : 523435.75\n",
      "RUN #: 36, SAMPLE #: 176, EFPA: -11.61, SIGMA: 1.68, LD: 0.32, APO : 503516.49\n",
      "RUN #: 37, SAMPLE #: 137, EFPA: -11.61, SIGMA: -0.05, LD: 0.31, APO : 542441.55\n",
      "RUN #: 38, SAMPLE #: 63, EFPA: -11.70, SIGMA: 0.95, LD: 0.32, APO : 506578.71\n",
      "RUN #: 39, SAMPLE #: 186, EFPA: -11.81, SIGMA: -0.14, LD: 0.31, APO : 481529.29\n",
      "RUN #: 40, SAMPLE #: 62, EFPA: -11.70, SIGMA: -2.28, LD: 0.31, APO : 537574.89\n",
      "RUN #: 41, SAMPLE #: 125, EFPA: -11.72, SIGMA: 0.68, LD: 0.29, APO : 531813.24\n",
      "RUN #: 42, SAMPLE #: 111, EFPA: -11.60, SIGMA: 0.32, LD: 0.31, APO : 515564.51\n",
      "RUN #: 43, SAMPLE #: 24, EFPA: -11.76, SIGMA: -0.77, LD: 0.29, APO : 520985.36\n",
      "RUN #: 44, SAMPLE #: 180, EFPA: -11.62, SIGMA: 0.02, LD: 0.32, APO : 555582.97\n",
      "RUN #: 45, SAMPLE #: 156, EFPA: -11.65, SIGMA: -1.39, LD: 0.28, APO : 546651.52\n",
      "RUN #: 46, SAMPLE #: 32, EFPA: -11.66, SIGMA: 0.21, LD: 0.29, APO : 507666.17\n",
      "RUN #: 47, SAMPLE #: 26, EFPA: -11.76, SIGMA: -0.06, LD: 0.31, APO : 581790.84\n",
      "RUN #: 48, SAMPLE #: 190, EFPA: -11.67, SIGMA: 1.61, LD: 0.28, APO : 607591.09\n",
      "RUN #: 49, SAMPLE #: 174, EFPA: -11.74, SIGMA: -0.24, LD: 0.31, APO : 524032.77\n",
      "RUN #: 50, SAMPLE #: 191, EFPA: -11.75, SIGMA: -1.42, LD: 0.28, APO : 560167.15\n",
      "RUN #: 51, SAMPLE #: 140, EFPA: -11.76, SIGMA: 0.55, LD: 0.30, APO : 503438.98\n",
      "RUN #: 52, SAMPLE #: 15, EFPA: -11.92, SIGMA: -0.16, LD: 0.30, APO : 608470.77\n",
      "RUN #: 53, SAMPLE #: 122, EFPA: -11.51, SIGMA: -1.24, LD: 0.29, APO : 515705.96\n",
      "RUN #: 54, SAMPLE #: 6, EFPA: -11.79, SIGMA: -0.17, LD: 0.30, APO : 503660.67\n",
      "RUN #: 55, SAMPLE #: 138, EFPA: -11.87, SIGMA: -0.16, LD: 0.28, APO : 545578.33\n",
      "RUN #: 56, SAMPLE #: 20, EFPA: -11.71, SIGMA: 1.64, LD: 0.31, APO : 497301.21\n",
      "RUN #: 57, SAMPLE #: 197, EFPA: -11.65, SIGMA: 1.05, LD: 0.32, APO : 568037.29\n",
      "RUN #: 58, SAMPLE #: 91, EFPA: -11.68, SIGMA: -1.21, LD: 0.32, APO : 566453.22\n",
      "RUN #: 59, SAMPLE #: 74, EFPA: -11.60, SIGMA: -0.64, LD: 0.30, APO : 558112.70\n",
      "RUN #: 60, SAMPLE #: 44, EFPA: -11.71, SIGMA: -0.43, LD: 0.31, APO : 546357.68\n",
      "RUN #: 61, SAMPLE #: 25, EFPA: -11.87, SIGMA: -0.08, LD: 0.30, APO : 508928.92\n",
      "RUN #: 62, SAMPLE #: 162, EFPA: -11.62, SIGMA: -0.33, LD: 0.29, APO : 530459.42\n",
      "RUN #: 63, SAMPLE #: 112, EFPA: -11.68, SIGMA: -1.92, LD: 0.29, APO : 523131.49\n",
      "RUN #: 64, SAMPLE #: 8, EFPA: -11.73, SIGMA: -0.99, LD: 0.30, APO : 500562.13\n",
      "RUN #: 65, SAMPLE #: 163, EFPA: -11.76, SIGMA: -0.12, LD: 0.31, APO : 475842.59\n",
      "RUN #: 66, SAMPLE #: 119, EFPA: -11.56, SIGMA: -0.91, LD: 0.32, APO : 550456.28\n",
      "RUN #: 67, SAMPLE #: 30, EFPA: -11.65, SIGMA: 0.14, LD: 0.30, APO : 548208.24\n",
      "RUN #: 68, SAMPLE #: 84, EFPA: -11.62, SIGMA: 0.22, LD: 0.30, APO : 548701.65\n",
      "RUN #: 69, SAMPLE #: 149, EFPA: -11.62, SIGMA: -1.67, LD: 0.30, APO : 513096.63\n",
      "RUN #: 70, SAMPLE #: 140, EFPA: -11.73, SIGMA: -1.06, LD: 0.30, APO : 521619.96\n",
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      "RUN #: 75, SAMPLE #: 33, EFPA: -11.78, SIGMA: -0.87, LD: 0.32, APO : 535943.04\n",
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      "RUN #: 78, SAMPLE #: 87, EFPA: -11.53, SIGMA: -0.12, LD: 0.29, APO : 517972.98\n",
      "RUN #: 79, SAMPLE #: 23, EFPA: -11.61, SIGMA: 0.99, LD: 0.33, APO : 534500.23\n",
      "RUN #: 80, SAMPLE #: 70, EFPA: -11.86, SIGMA: -0.12, LD: 0.30, APO : 456945.95\n",
      "RUN #: 81, SAMPLE #: 26, EFPA: -11.73, SIGMA: 0.11, LD: 0.31, APO : 509186.03\n",
      "RUN #: 82, SAMPLE #: 176, EFPA: -11.68, SIGMA: -0.18, LD: 0.32, APO : 520015.09\n",
      "RUN #: 83, SAMPLE #: 68, EFPA: -11.78, SIGMA: 2.13, LD: 0.30, APO : 516389.04\n",
      "RUN #: 84, SAMPLE #: 86, EFPA: -11.64, SIGMA: 1.01, LD: 0.29, APO : 523899.98\n",
      "RUN #: 85, SAMPLE #: 95, EFPA: -11.59, SIGMA: 0.83, LD: 0.31, APO : 560821.31\n",
      "RUN #: 86, SAMPLE #: 11, EFPA: -11.77, SIGMA: 0.27, LD: 0.30, APO : 534705.95\n",
      "RUN #: 87, SAMPLE #: 92, EFPA: -11.76, SIGMA: 0.46, LD: 0.30, APO : 525550.79\n",
      "RUN #: 88, SAMPLE #: 182, EFPA: -11.76, SIGMA: -0.82, LD: 0.30, APO : 498818.55\n",
      "RUN #: 89, SAMPLE #: 55, EFPA: -11.68, SIGMA: 0.88, LD: 0.28, APO : 533227.57\n",
      "RUN #: 90, SAMPLE #: 102, EFPA: -11.69, SIGMA: -0.20, LD: 0.29, APO : 510168.76\n",
      "RUN #: 91, SAMPLE #: 44, EFPA: -11.49, SIGMA: 2.05, LD: 0.30, APO : 505900.42\n",
      "RUN #: 92, SAMPLE #: 62, EFPA: -11.54, SIGMA: 0.61, LD: 0.30, APO : 528577.80\n",
      "RUN #: 93, SAMPLE #: 148, EFPA: -11.70, SIGMA: -1.23, LD: 0.32, APO : 485969.72\n",
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      "RUN #: 104, SAMPLE #: 17, EFPA: -11.69, SIGMA: -1.11, LD: 0.30, APO : 594109.97\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RUN #: 105, SAMPLE #: 82, EFPA: -11.64, SIGMA: -0.34, LD: 0.31, APO : 530694.49\n",
      "RUN #: 106, SAMPLE #: 183, EFPA: -11.65, SIGMA: -0.91, LD: 0.31, APO : 536651.86\n",
      "RUN #: 107, SAMPLE #: 105, EFPA: -11.70, SIGMA: 0.24, LD: 0.30, APO : 492368.06\n",
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      "RUN #: 113, SAMPLE #: 169, EFPA: -11.46, SIGMA: -1.01, LD: 0.31, APO : 513162.41\n",
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      "RUN #: 121, SAMPLE #: 1, EFPA: -11.76, SIGMA: -0.10, LD: 0.30, APO : 557688.19\n",
      "RUN #: 122, SAMPLE #: 19, EFPA: -11.70, SIGMA: -1.18, LD: 0.29, APO : 576198.04\n",
      "RUN #: 123, SAMPLE #: 31, EFPA: -11.70, SIGMA: 1.67, LD: 0.31, APO : 513546.47\n",
      "RUN #: 124, SAMPLE #: 114, EFPA: -11.73, SIGMA: -0.38, LD: 0.30, APO : 595938.73\n",
      "RUN #: 125, SAMPLE #: 84, EFPA: -11.62, SIGMA: 0.66, LD: 0.29, APO : 526443.88\n",
      "RUN #: 126, SAMPLE #: 13, EFPA: -11.77, SIGMA: -1.06, LD: 0.30, APO : 508926.61\n",
      "RUN #: 127, SAMPLE #: 64, EFPA: -11.63, SIGMA: 1.30, LD: 0.30, APO : 516912.45\n",
      "RUN #: 128, SAMPLE #: 20, EFPA: -11.54, SIGMA: -0.79, LD: 0.30, APO : 514599.18\n",
      "RUN #: 129, SAMPLE #: 166, EFPA: -11.78, SIGMA: 1.19, LD: 0.29, APO : 527472.19\n",
      "RUN #: 130, SAMPLE #: 81, EFPA: -11.92, SIGMA: -0.07, LD: 0.31, APO : 577849.41\n",
      "RUN #: 131, SAMPLE #: 123, EFPA: -11.71, SIGMA: 0.35, LD: 0.29, APO : 514038.96\n",
      "RUN #: 132, SAMPLE #: 97, EFPA: -11.77, SIGMA: -0.03, LD: 0.31, APO : 522544.13\n",
      "RUN #: 133, SAMPLE #: 70, EFPA: -11.76, SIGMA: -0.83, LD: 0.29, APO : 529611.39\n",
      "RUN #: 134, SAMPLE #: 163, EFPA: -11.89, SIGMA: 1.29, LD: 0.28, APO : 561643.65\n",
      "RUN #: 135, SAMPLE #: 40, EFPA: -11.69, SIGMA: -0.18, LD: 0.31, APO : 508200.83\n",
      "RUN #: 136, SAMPLE #: 103, EFPA: -11.77, SIGMA: -1.12, LD: 0.30, APO : 498821.70\n",
      "RUN #: 137, SAMPLE #: 190, EFPA: -11.77, SIGMA: 1.23, LD: 0.31, APO : 528294.14\n",
      "RUN #: 138, SAMPLE #: 51, EFPA: -11.85, SIGMA: -0.81, LD: 0.29, APO : 487372.94\n",
      "RUN #: 139, SAMPLE #: 190, EFPA: -11.47, SIGMA: -1.47, LD: 0.31, APO : 509322.67\n",
      "RUN #: 140, SAMPLE #: 84, EFPA: -11.77, SIGMA: -1.71, LD: 0.29, APO : 542640.03\n",
      "RUN #: 141, SAMPLE #: 35, EFPA: -11.61, SIGMA: 0.61, LD: 0.31, APO : 505158.61\n",
      "RUN #: 142, SAMPLE #: 95, EFPA: -11.74, SIGMA: -0.82, LD: 0.29, APO : 521961.84\n",
      "RUN #: 143, SAMPLE #: 161, EFPA: -11.80, SIGMA: 0.02, LD: 0.29, APO : 516704.72\n",
      "RUN #: 144, SAMPLE #: 192, EFPA: -11.67, SIGMA: 0.47, LD: 0.28, APO : 480764.15\n",
      "RUN #: 145, SAMPLE #: 27, EFPA: -11.59, SIGMA: 0.38, LD: 0.32, APO : 563196.49\n",
      "RUN #: 146, SAMPLE #: 129, EFPA: -11.66, SIGMA: -0.58, LD: 0.30, APO : 575207.73\n",
      "RUN #: 147, SAMPLE #: 92, EFPA: -11.82, SIGMA: 0.61, LD: 0.29, APO : 526188.06\n",
      "RUN #: 148, SAMPLE #: 17, EFPA: -11.61, SIGMA: 1.34, LD: 0.31, APO : 480875.98\n",
      "RUN #: 149, SAMPLE #: 30, EFPA: -11.71, SIGMA: 0.52, LD: 0.29, APO : 510947.90\n",
      "RUN #: 150, SAMPLE #: 14, EFPA: -11.84, SIGMA: -0.56, LD: 0.29, APO : 528819.26\n",
      "RUN #: 151, SAMPLE #: 47, EFPA: -11.60, SIGMA: -0.91, LD: 0.32, APO : 558312.50\n",
      "RUN #: 152, SAMPLE #: 164, EFPA: -11.51, SIGMA: 0.48, LD: 0.28, APO : 535768.47\n",
      "RUN #: 153, SAMPLE #: 40, EFPA: -11.63, SIGMA: -0.15, LD: 0.30, APO : 473534.52\n",
      "RUN #: 154, SAMPLE #: 135, EFPA: -11.61, SIGMA: -0.26, LD: 0.31, APO : 548730.01\n",
      "RUN #: 155, SAMPLE #: 70, EFPA: -11.69, SIGMA: 0.95, LD: 0.28, APO : 540411.42\n",
      "RUN #: 156, SAMPLE #: 114, EFPA: -11.76, SIGMA: -0.08, LD: 0.28, APO : 565302.36\n",
      "RUN #: 157, SAMPLE #: 147, EFPA: -11.79, SIGMA: -0.04, LD: 0.31, APO : 559030.46\n",
      "RUN #: 158, SAMPLE #: 28, EFPA: -11.63, SIGMA: 0.06, LD: 0.31, APO : 552428.69\n",
      "RUN #: 159, SAMPLE #: 159, EFPA: -11.77, SIGMA: -0.72, LD: 0.31, APO : 505079.14\n",
      "RUN #: 160, SAMPLE #: 91, EFPA: -11.73, SIGMA: 1.88, LD: 0.31, APO : 491464.32\n",
      "RUN #: 161, SAMPLE #: 86, EFPA: -11.86, SIGMA: -1.32, LD: 0.29, APO : 481665.59\n",
      "RUN #: 162, SAMPLE #: 17, EFPA: -11.70, SIGMA: 0.81, LD: 0.28, APO : 517313.23\n",
      "RUN #: 163, SAMPLE #: 123, EFPA: -11.62, SIGMA: -0.54, LD: 0.31, APO : 516769.38\n",
      "RUN #: 164, SAMPLE #: 101, EFPA: -11.65, SIGMA: -1.14, LD: 0.30, APO : 488156.88\n",
      "RUN #: 165, SAMPLE #: 124, EFPA: -11.79, SIGMA: 0.35, LD: 0.30, APO : 508538.91\n",
      "RUN #: 166, SAMPLE #: 112, EFPA: -11.72, SIGMA: -0.10, LD: 0.32, APO : 507554.29\n",
      "RUN #: 167, SAMPLE #: 25, EFPA: -11.67, SIGMA: 0.49, LD: 0.32, APO : 485998.16\n",
      "RUN #: 168, SAMPLE #: 86, EFPA: -11.82, SIGMA: 0.22, LD: 0.31, APO : 518264.99\n",
      "RUN #: 169, SAMPLE #: 150, EFPA: -11.64, SIGMA: 0.59, LD: 0.31, APO : 503502.06\n",
      "RUN #: 170, SAMPLE #: 124, EFPA: -11.69, SIGMA: 1.00, LD: 0.31, APO : 524906.21\n",
      "RUN #: 171, SAMPLE #: 126, EFPA: -11.51, SIGMA: -0.56, LD: 0.28, APO : 461316.37\n",
      "RUN #: 172, SAMPLE #: 186, EFPA: -11.64, SIGMA: -0.06, LD: 0.31, APO : 498712.28\n",
      "RUN #: 173, SAMPLE #: 33, EFPA: -11.73, SIGMA: -0.19, LD: 0.32, APO : 518894.70\n",
      "RUN #: 174, SAMPLE #: 50, EFPA: -11.71, SIGMA: -1.66, LD: 0.30, APO : 561660.81\n",
      "RUN #: 175, SAMPLE #: 98, EFPA: -11.80, SIGMA: -0.46, LD: 0.29, APO : 479759.49\n",
      "RUN #: 176, SAMPLE #: 83, EFPA: -11.76, SIGMA: -0.38, LD: 0.32, APO : 496712.68\n",
      "RUN #: 177, SAMPLE #: 41, EFPA: -11.49, SIGMA: 0.89, LD: 0.29, APO : 535069.99\n",
      "RUN #: 178, SAMPLE #: 96, EFPA: -11.59, SIGMA: 0.52, LD: 0.29, APO : 559227.49\n",
      "RUN #: 179, SAMPLE #: 174, EFPA: -11.51, SIGMA: -0.22, LD: 0.31, APO : 544521.62\n",
      "RUN #: 180, SAMPLE #: 70, EFPA: -11.78, SIGMA: -0.04, LD: 0.29, APO : 519921.40\n",
      "RUN #: 181, SAMPLE #: 164, EFPA: -11.77, SIGMA: -1.75, LD: 0.30, APO : 559862.69\n",
      "RUN #: 182, SAMPLE #: 101, EFPA: -11.73, SIGMA: 0.68, LD: 0.31, APO : 514013.23\n",
      "RUN #: 183, SAMPLE #: 142, EFPA: -11.59, SIGMA: 0.43, LD: 0.30, APO : 560077.04\n",
      "RUN #: 184, SAMPLE #: 20, EFPA: -11.53, SIGMA: 0.72, LD: 0.31, APO : 500811.20\n",
      "RUN #: 185, SAMPLE #: 73, EFPA: -11.71, SIGMA: -0.11, LD: 0.30, APO : 550235.47\n",
      "RUN #: 186, SAMPLE #: 112, EFPA: -11.66, SIGMA: -0.10, LD: 0.29, APO : 565336.80\n",
      "RUN #: 187, SAMPLE #: 101, EFPA: -11.78, SIGMA: -1.27, LD: 0.29, APO : 529486.06\n",
      "RUN #: 188, SAMPLE #: 194, EFPA: -11.61, SIGMA: 1.30, LD: 0.30, APO : 538984.88\n",
      "RUN #: 189, SAMPLE #: 124, EFPA: -11.74, SIGMA: 0.36, LD: 0.28, APO : 557447.13\n",
      "RUN #: 190, SAMPLE #: 19, EFPA: -11.77, SIGMA: -1.11, LD: 0.29, APO : 485895.13\n",
      "RUN #: 191, SAMPLE #: 16, EFPA: -11.76, SIGMA: 1.07, LD: 0.29, APO : 533730.53\n",
      "RUN #: 192, SAMPLE #: 22, EFPA: -11.78, SIGMA: -0.97, LD: 0.31, APO : 482059.77\n",
      "RUN #: 193, SAMPLE #: 92, EFPA: -11.81, SIGMA: -0.06, LD: 0.31, APO : 508337.43\n",
      "RUN #: 194, SAMPLE #: 144, EFPA: -11.76, SIGMA: -1.03, LD: 0.30, APO : 535390.61\n",
      "RUN #: 195, SAMPLE #: 57, EFPA: -11.57, SIGMA: -1.49, LD: 0.30, APO : 500359.57\n",
      "RUN #: 196, SAMPLE #: 135, EFPA: -11.77, SIGMA: 0.76, LD: 0.29, APO : 532500.70\n",
      "RUN #: 197, SAMPLE #: 111, EFPA: -11.46, SIGMA: -0.05, LD: 0.29, APO : 520495.91\n",
      "RUN #: 198, SAMPLE #: 133, EFPA: -11.68, SIGMA: -0.30, LD: 0.32, APO : 505080.64\n",
      "RUN #: 199, SAMPLE #: 19, EFPA: -11.67, SIGMA: -0.18, LD: 0.29, APO : 496517.85\n",
      "RUN #: 200, SAMPLE #: 32, EFPA: -11.70, SIGMA: -0.61, LD: 0.30, APO : 515702.96\n"
     ]
    }
   ],
   "source": [
    "vehicle.runMonteCarlo2(200, '../../../data/acta-astronautica/uranus-orbiter-probe/MCBXF')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "c02a8682",
   "metadata": {},
   "outputs": [],
   "source": [
    "p1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXF/terminal_periapsis_arr.txt')\n",
    "x1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXF/terminal_apoapsis_arr.txt')\n",
    "y1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXF/acc_net_g_max_arr.txt')\n",
    "z1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXF/q_stag_max_arr.txt')\n",
    "h1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXF/heatload_max_arr.txt')\n",
    "u1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXF/periapsis_raise_DV_arr.txt')\n",
    "v1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXF/apoapsis_raise_DV_arr.txt')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "cf4145f7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 650x325 with 2 Axes>"
      ]
     },
     "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": 5,
   "id": "3546740c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([], dtype=int64),)"
      ]
     },
     "execution_count": 5,
     "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": 32,
   "id": "5f3437e1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 650x325 with 2 Axes>"
      ]
     },
     "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": "code",
   "execution_count": 33,
   "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  |    456946          458077         526440          608243          608471\n",
      "Periapsis altitude, km |       167             168            192             210             210\n",
      "Peak deceleration, g   |       6.88           6.92           8.02            9.87           9.97\n",
      "Peak heat rate, W/cm2  |       1586           1597           1746            1915            1927\n",
      "Peak heat load, kJ/cm2 |        206            207            221             232             232\n",
      "Periapsis raise dV, m/s|      57.68          57.73          65.81           74.32           74.52\n",
      "Apoapsis corr. dV, m/s |     -43.64         -43.49           21.35          89.03          90.32\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": 6,
   "id": "8808f519",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 675x350 with 2 Axes>"
      ]
     },
     "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-XF.png', dpi= 300,bbox_inches='tight')\n",
    "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/periapsis-vs-apoapsis-XF.pdf', dpi=300,bbox_inches='tight')\n",
    "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/periapsis-vs-apoapsis-XF.eps', dpi=300,bbox_inches='tight')\n",
    "\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "23f4a898",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 675x350 with 2 Axes>"
      ]
     },
     "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-XF.png', dpi= 300,bbox_inches='tight')\n",
    "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/heat-rate-vs-g-load-XF.pdf', dpi=300,bbox_inches='tight')\n",
    "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/heat-rate-vs-g-load-XF.eps', dpi=300,bbox_inches='tight')\n",
    "\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "d1a7fb4a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 675x350 with 2 Axes>"
      ]
     },
     "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-XF.png', dpi= 300,bbox_inches='tight')\n",
    "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/prm-arm-maneuvers-XF.pdf', dpi=300,bbox_inches='tight')\n",
    "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/prm-arm-maneuvers-XF.eps', dpi=300,bbox_inches='tight')\n",
    "\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "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": 8,
   "id": "34c7a258",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.84"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "percent_between(x1, 500e3, 600e3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "750d57ed",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "percent_between(x1, 450e3, 650e3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "b11149fd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "percent_between(x1, 350e3, 750e3)"
   ]
  }
 ],
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   "display_name": "Python 3 (ipykernel)",
   "language": "python",
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    "name": "ipython",
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