{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "05a0b4f5",
   "metadata": {},
   "source": [
    "# Section 08 - Performance Analysis - B - 3X Lower EFPA uncertainty"
   ]
  },
  {
   "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": 7,
   "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": 8,
   "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": 9,
   "id": "bb531abc",
   "metadata": {},
   "outputs": [],
   "source": [
    "vehicle.setupMonteCarloSimulation(1201, 200, atmfiles, 0, 1, 2, 3, 4, True, \\\n",
    "                                 -11.70, 0.03, 0.24, 0.013, 0.5, 0.1, 2400.0)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "75cd9087",
   "metadata": {},
   "source": [
    "## Small run N = 200"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "dc11080e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RUN #: 1, SAMPLE #: 20, EFPA: -11.67, SIGMA: 0.75, LD: 0.23, APO : 545361.11\n",
      "RUN #: 2, SAMPLE #: 191, EFPA: -11.69, SIGMA: 0.27, LD: 0.23, APO : 538785.25\n",
      "RUN #: 3, SAMPLE #: 30, EFPA: -11.73, SIGMA: -0.16, LD: 0.23, APO : 534049.81\n",
      "RUN #: 4, SAMPLE #: 178, EFPA: -11.66, SIGMA: -0.08, LD: 0.24, APO : 474296.74\n",
      "RUN #: 5, SAMPLE #: 196, EFPA: -11.68, SIGMA: -0.91, LD: 0.25, APO : 516969.64\n",
      "RUN #: 6, SAMPLE #: 13, EFPA: -11.69, SIGMA: 0.04, LD: 0.24, APO : 511642.74\n",
      "RUN #: 7, SAMPLE #: 55, EFPA: -11.75, SIGMA: 1.83, LD: 0.21, APO : 531440.62\n",
      "RUN #: 8, SAMPLE #: 186, EFPA: -11.69, SIGMA: 1.00, LD: 0.24, APO : 498620.16\n",
      "RUN #: 9, SAMPLE #: 37, EFPA: -11.72, SIGMA: -1.38, LD: 0.26, APO : 587100.73\n",
      "RUN #: 10, SAMPLE #: 162, EFPA: -11.70, SIGMA: -1.39, LD: 0.24, APO : 520185.76\n",
      "RUN #: 11, SAMPLE #: 36, EFPA: -11.66, SIGMA: 1.05, LD: 0.24, APO : 527340.33\n",
      "RUN #: 12, SAMPLE #: 33, EFPA: -11.69, SIGMA: -0.45, LD: 0.25, APO : 502757.78\n",
      "RUN #: 13, SAMPLE #: 85, EFPA: -11.67, SIGMA: 0.17, LD: 0.26, APO : 559279.28\n",
      "RUN #: 14, SAMPLE #: 25, EFPA: -11.70, SIGMA: 0.54, LD: 0.23, APO : 547300.05\n",
      "RUN #: 15, SAMPLE #: 89, EFPA: -11.73, SIGMA: 1.61, LD: 0.25, APO : 531976.48\n",
      "RUN #: 16, SAMPLE #: 149, EFPA: -11.67, SIGMA: -1.30, LD: 0.23, APO : 494113.86\n",
      "RUN #: 17, SAMPLE #: 199, EFPA: -11.75, SIGMA: -0.11, LD: 0.21, APO : 515358.43\n",
      "RUN #: 18, SAMPLE #: 82, EFPA: -11.70, SIGMA: 0.38, LD: 0.25, APO : 525353.23\n",
      "RUN #: 19, SAMPLE #: 24, EFPA: -11.72, SIGMA: 2.25, LD: 0.24, APO : 535307.54\n",
      "RUN #: 20, SAMPLE #: 75, EFPA: -11.69, SIGMA: 0.60, LD: 0.24, APO : 569470.01\n",
      "RUN #: 21, SAMPLE #: 31, EFPA: -11.66, SIGMA: 0.43, LD: 0.23, APO : 562943.12\n",
      "RUN #: 22, SAMPLE #: 193, EFPA: -11.66, SIGMA: -0.93, LD: 0.25, APO : 536691.69\n",
      "RUN #: 23, SAMPLE #: 98, EFPA: -11.70, SIGMA: -0.29, LD: 0.24, APO : 567172.60\n",
      "RUN #: 24, SAMPLE #: 8, EFPA: -11.71, SIGMA: 0.99, LD: 0.23, APO : 526749.22\n",
      "RUN #: 25, SAMPLE #: 25, EFPA: -11.71, SIGMA: 0.72, LD: 0.25, APO : 583547.60\n",
      "RUN #: 26, SAMPLE #: 62, EFPA: -11.71, SIGMA: 1.05, LD: 0.23, APO : 480108.13\n",
      "RUN #: 27, SAMPLE #: 179, EFPA: -11.73, SIGMA: 0.47, LD: 0.22, APO : 503658.64\n",
      "RUN #: 28, SAMPLE #: 114, EFPA: -11.77, SIGMA: 0.59, LD: 0.21, APO : 476028.85\n",
      "RUN #: 29, SAMPLE #: 180, EFPA: -11.68, SIGMA: 1.41, LD: 0.25, APO : 514399.95\n",
      "RUN #: 30, SAMPLE #: 170, EFPA: -11.66, SIGMA: 0.79, LD: 0.24, APO : 539983.90\n",
      "RUN #: 31, SAMPLE #: 78, EFPA: -11.71, SIGMA: 1.22, LD: 0.24, APO : 572407.86\n",
      "RUN #: 32, SAMPLE #: 29, EFPA: -11.73, SIGMA: 0.57, LD: 0.25, APO : 557614.59\n",
      "RUN #: 33, SAMPLE #: 161, EFPA: -11.70, SIGMA: 1.20, LD: 0.23, APO : 518096.52\n",
      "RUN #: 34, SAMPLE #: 83, EFPA: -11.66, SIGMA: -1.08, LD: 0.24, APO : 504377.27\n",
      "RUN #: 35, SAMPLE #: 124, EFPA: -11.77, SIGMA: -1.85, LD: 0.25, APO : 478437.35\n",
      "RUN #: 36, SAMPLE #: 5, EFPA: -11.67, SIGMA: 1.40, LD: 0.24, APO : 591218.91\n",
      "RUN #: 37, SAMPLE #: 94, EFPA: -11.69, SIGMA: -1.26, LD: 0.25, APO : 546596.52\n",
      "RUN #: 38, SAMPLE #: 136, EFPA: -11.72, SIGMA: -0.50, LD: 0.24, APO : 504315.45\n",
      "RUN #: 39, SAMPLE #: 34, EFPA: -11.69, SIGMA: 1.94, LD: 0.25, APO : 525569.82\n",
      "RUN #: 40, SAMPLE #: 198, EFPA: -11.68, SIGMA: 1.88, LD: 0.25, APO : 493467.63\n",
      "RUN #: 41, SAMPLE #: 94, EFPA: -11.70, SIGMA: -0.61, LD: 0.22, APO : 525357.79\n",
      "RUN #: 42, SAMPLE #: 165, EFPA: -11.66, SIGMA: 0.38, LD: 0.25, APO : 531475.02\n",
      "RUN #: 43, SAMPLE #: 20, EFPA: -11.68, SIGMA: -0.86, LD: 0.25, APO : 544852.53\n",
      "RUN #: 44, SAMPLE #: 155, EFPA: -11.70, SIGMA: 0.85, LD: 0.25, APO : 542355.80\n",
      "RUN #: 45, SAMPLE #: 67, EFPA: -11.69, SIGMA: -0.27, LD: 0.24, APO : 587064.90\n",
      "RUN #: 46, SAMPLE #: 103, EFPA: -11.71, SIGMA: 0.85, LD: 0.25, APO : 545206.00\n",
      "RUN #: 47, SAMPLE #: 1, EFPA: -11.65, SIGMA: 1.94, LD: 0.25, APO : 554760.26\n",
      "RUN #: 48, SAMPLE #: 167, EFPA: -11.67, SIGMA: -3.61, LD: 0.21, APO : 518479.33\n",
      "RUN #: 49, SAMPLE #: 5, EFPA: -11.68, SIGMA: -0.20, LD: 0.26, APO : 518821.16\n",
      "RUN #: 50, SAMPLE #: 25, EFPA: -11.72, SIGMA: -1.44, LD: 0.22, APO : 521390.81\n",
      "RUN #: 51, SAMPLE #: 74, EFPA: -11.67, SIGMA: -0.72, LD: 0.25, APO : 514255.95\n",
      "RUN #: 52, SAMPLE #: 114, EFPA: -11.68, SIGMA: 0.17, LD: 0.22, APO : 511438.78\n",
      "RUN #: 53, SAMPLE #: 54, EFPA: -11.72, SIGMA: 1.01, LD: 0.21, APO : 523957.47\n",
      "RUN #: 54, SAMPLE #: 5, EFPA: -11.70, SIGMA: 2.48, LD: 0.24, APO : 493150.17\n",
      "RUN #: 55, SAMPLE #: 122, EFPA: -11.70, SIGMA: 0.93, LD: 0.24, APO : 544969.24\n",
      "RUN #: 56, SAMPLE #: 167, EFPA: -11.74, SIGMA: 0.69, LD: 0.24, APO : 527131.16\n",
      "RUN #: 57, SAMPLE #: 12, EFPA: -11.72, SIGMA: 0.36, LD: 0.27, APO : 516756.22\n",
      "RUN #: 58, SAMPLE #: 175, EFPA: -11.68, SIGMA: 0.62, LD: 0.26, APO : 544507.58\n",
      "RUN #: 59, SAMPLE #: 113, EFPA: -11.69, SIGMA: -1.69, LD: 0.23, APO : 483370.62\n",
      "RUN #: 60, SAMPLE #: 195, EFPA: -11.69, SIGMA: -0.54, LD: 0.27, APO : 506527.89\n",
      "RUN #: 61, SAMPLE #: 95, EFPA: -11.66, SIGMA: -0.22, LD: 0.25, APO : 479523.81\n",
      "RUN #: 62, SAMPLE #: 20, EFPA: -11.67, SIGMA: -0.89, LD: 0.22, APO : 554956.89\n",
      "RUN #: 63, SAMPLE #: 85, EFPA: -11.68, SIGMA: -0.04, LD: 0.24, APO : 517329.27\n",
      "RUN #: 64, SAMPLE #: 13, EFPA: -11.65, SIGMA: -1.52, LD: 0.23, APO : 454590.15\n",
      "RUN #: 65, SAMPLE #: 139, EFPA: -11.73, SIGMA: -0.08, LD: 0.23, APO : 528229.54\n",
      "RUN #: 66, SAMPLE #: 80, EFPA: -11.70, SIGMA: 1.13, LD: 0.25, APO : 506262.05\n",
      "RUN #: 67, SAMPLE #: 101, EFPA: -11.68, SIGMA: -0.74, LD: 0.24, APO : 529748.97\n",
      "RUN #: 68, SAMPLE #: 169, EFPA: -11.65, SIGMA: 0.28, LD: 0.24, APO : 540527.39\n",
      "RUN #: 69, SAMPLE #: 40, EFPA: -11.71, SIGMA: 1.45, LD: 0.24, APO : 468588.66\n",
      "RUN #: 70, SAMPLE #: 49, EFPA: -11.73, SIGMA: 0.57, LD: 0.24, APO : 543682.01\n",
      "RUN #: 71, SAMPLE #: 103, EFPA: -11.70, SIGMA: -3.30, LD: 0.22, APO : 478202.52\n",
      "RUN #: 72, SAMPLE #: 119, EFPA: -11.76, SIGMA: 0.17, LD: 0.22, APO : 487959.46\n",
      "RUN #: 73, SAMPLE #: 90, EFPA: -11.70, SIGMA: 0.41, LD: 0.23, APO : 593327.59\n",
      "RUN #: 74, SAMPLE #: 158, EFPA: -11.68, SIGMA: 1.03, LD: 0.25, APO : 483534.87\n",
      "RUN #: 75, SAMPLE #: 125, EFPA: -11.66, SIGMA: -1.62, LD: 0.23, APO : 522400.65\n",
      "RUN #: 76, SAMPLE #: 82, EFPA: -11.66, SIGMA: 0.73, LD: 0.23, APO : 506725.73\n",
      "RUN #: 77, SAMPLE #: 104, EFPA: -11.72, SIGMA: -0.36, LD: 0.25, APO : 500663.25\n",
      "RUN #: 78, SAMPLE #: 35, EFPA: -11.71, SIGMA: 0.49, LD: 0.26, APO : 519178.63\n",
      "RUN #: 79, SAMPLE #: 196, EFPA: -11.65, SIGMA: -0.52, LD: 0.24, APO : 506036.59\n",
      "RUN #: 80, SAMPLE #: 132, EFPA: -11.72, SIGMA: -0.34, LD: 0.27, APO : 563520.14\n",
      "RUN #: 81, SAMPLE #: 35, EFPA: -11.73, SIGMA: -0.35, LD: 0.24, APO : 523188.21\n",
      "RUN #: 82, SAMPLE #: 142, EFPA: -11.74, SIGMA: -0.81, LD: 0.24, APO : 518078.60\n",
      "RUN #: 83, SAMPLE #: 181, EFPA: -11.74, SIGMA: 0.23, LD: 0.24, APO : 611305.58\n",
      "RUN #: 84, SAMPLE #: 142, EFPA: -11.67, SIGMA: 0.82, LD: 0.25, APO : 534862.89\n",
      "RUN #: 85, SAMPLE #: 12, EFPA: -11.69, SIGMA: 0.04, LD: 0.23, APO : 602075.36\n",
      "RUN #: 86, SAMPLE #: 132, EFPA: -11.74, SIGMA: 1.03, LD: 0.23, APO : 514206.65\n",
      "RUN #: 87, SAMPLE #: 31, EFPA: -11.67, SIGMA: 1.23, LD: 0.25, APO : 495649.62\n",
      "RUN #: 88, SAMPLE #: 68, EFPA: -11.66, SIGMA: -1.56, LD: 0.25, APO : 569694.05\n",
      "RUN #: 89, SAMPLE #: 42, EFPA: -11.69, SIGMA: -0.25, LD: 0.23, APO : 474931.81\n",
      "RUN #: 90, SAMPLE #: 10, EFPA: -11.68, SIGMA: -0.23, LD: 0.24, APO : 500006.59\n",
      "RUN #: 91, SAMPLE #: 100, EFPA: -11.71, SIGMA: -0.14, LD: 0.24, APO : 578812.38\n",
      "RUN #: 92, SAMPLE #: 31, EFPA: -11.69, SIGMA: 0.35, LD: 0.23, APO : 580735.21\n",
      "RUN #: 93, SAMPLE #: 42, EFPA: -11.73, SIGMA: -0.28, LD: 0.23, APO : 516106.35\n",
      "RUN #: 94, SAMPLE #: 49, EFPA: -11.66, SIGMA: 0.41, LD: 0.25, APO : 555203.53\n",
      "RUN #: 95, SAMPLE #: 68, EFPA: -11.68, SIGMA: -0.73, LD: 0.24, APO : 536262.71\n",
      "RUN #: 96, SAMPLE #: 190, EFPA: -11.68, SIGMA: 0.91, LD: 0.24, APO : 584458.33\n",
      "RUN #: 97, SAMPLE #: 8, EFPA: -11.75, SIGMA: 0.68, LD: 0.24, APO : 498572.18\n",
      "RUN #: 98, SAMPLE #: 7, EFPA: -11.70, SIGMA: 0.82, LD: 0.24, APO : 531595.85\n",
      "RUN #: 99, SAMPLE #: 133, EFPA: -11.61, SIGMA: 0.71, LD: 0.22, APO : 506357.85\n",
      "RUN #: 100, SAMPLE #: 11, EFPA: -11.66, SIGMA: 1.59, LD: 0.23, APO : 544274.54\n",
      "RUN #: 101, SAMPLE #: 154, EFPA: -11.68, SIGMA: -0.22, LD: 0.20, APO : 490421.91\n",
      "RUN #: 102, SAMPLE #: 153, EFPA: -11.65, SIGMA: -2.36, LD: 0.24, APO : 580373.56\n",
      "RUN #: 103, SAMPLE #: 81, EFPA: -11.67, SIGMA: -0.61, LD: 0.28, APO : 546177.95\n",
      "RUN #: 104, SAMPLE #: 170, EFPA: -11.72, SIGMA: 1.18, LD: 0.24, APO : 599458.10\n",
      "RUN #: 105, SAMPLE #: 165, EFPA: -11.71, SIGMA: 0.98, LD: 0.25, APO : 535674.38\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RUN #: 106, SAMPLE #: 106, EFPA: -11.70, SIGMA: 0.47, LD: 0.22, APO : 555698.49\n",
      "RUN #: 107, SAMPLE #: 189, EFPA: -11.71, SIGMA: 0.97, LD: 0.22, APO : 493040.15\n",
      "RUN #: 108, SAMPLE #: 137, EFPA: -11.74, SIGMA: 1.07, LD: 0.24, APO : 519617.01\n",
      "RUN #: 109, SAMPLE #: 23, EFPA: -11.71, SIGMA: -0.95, LD: 0.24, APO : 514599.65\n",
      "RUN #: 110, SAMPLE #: 4, EFPA: -11.75, SIGMA: -0.47, LD: 0.25, APO : 496974.51\n",
      "RUN #: 111, SAMPLE #: 115, EFPA: -11.66, SIGMA: -1.20, LD: 0.23, APO : 500790.89\n",
      "RUN #: 112, SAMPLE #: 85, EFPA: -11.71, SIGMA: -0.53, LD: 0.26, APO : 572061.65\n",
      "RUN #: 113, SAMPLE #: 140, EFPA: -11.67, SIGMA: -0.72, LD: 0.22, APO : 523551.31\n",
      "RUN #: 114, SAMPLE #: 41, EFPA: -11.72, SIGMA: 0.18, LD: 0.25, APO : 514189.49\n",
      "RUN #: 115, SAMPLE #: 176, EFPA: -11.67, SIGMA: -0.51, LD: 0.25, APO : 482914.35\n",
      "RUN #: 116, SAMPLE #: 80, EFPA: -11.69, SIGMA: 0.72, LD: 0.26, APO : 581025.06\n",
      "RUN #: 117, SAMPLE #: 115, EFPA: -11.69, SIGMA: -1.02, LD: 0.25, APO : 467619.09\n",
      "RUN #: 118, SAMPLE #: 79, EFPA: -11.72, SIGMA: -1.33, LD: 0.24, APO : 469908.05\n",
      "RUN #: 119, SAMPLE #: 200, EFPA: -11.69, SIGMA: 0.71, LD: 0.23, APO : 516322.50\n",
      "RUN #: 120, SAMPLE #: 36, EFPA: -11.74, SIGMA: -1.64, LD: 0.25, APO : 502455.88\n",
      "RUN #: 121, SAMPLE #: 120, EFPA: -11.70, SIGMA: -0.61, LD: 0.24, APO : 502598.94\n",
      "RUN #: 122, SAMPLE #: 98, EFPA: -11.64, SIGMA: -1.44, LD: 0.25, APO : 533146.11\n",
      "RUN #: 123, SAMPLE #: 74, EFPA: -11.72, SIGMA: -1.16, LD: 0.24, APO : 499566.68\n",
      "RUN #: 124, SAMPLE #: 172, EFPA: -11.71, SIGMA: -0.75, LD: 0.24, APO : 573003.05\n",
      "RUN #: 125, SAMPLE #: 48, EFPA: -11.70, SIGMA: 0.22, LD: 0.22, APO : 557155.62\n",
      "RUN #: 126, SAMPLE #: 90, EFPA: -11.72, SIGMA: -0.63, LD: 0.27, APO : 549967.56\n",
      "RUN #: 127, SAMPLE #: 96, EFPA: -11.65, SIGMA: -0.51, LD: 0.24, APO : 544101.51\n",
      "RUN #: 128, SAMPLE #: 96, EFPA: -11.70, SIGMA: -1.21, LD: 0.22, APO : 561557.33\n",
      "RUN #: 129, SAMPLE #: 156, EFPA: -11.68, SIGMA: 1.12, LD: 0.24, APO : 541792.23\n",
      "RUN #: 130, SAMPLE #: 21, EFPA: -11.69, SIGMA: 2.70, LD: 0.24, APO : 469286.89\n",
      "RUN #: 131, SAMPLE #: 116, EFPA: -11.70, SIGMA: -0.98, LD: 0.25, APO : 566093.69\n",
      "RUN #: 132, SAMPLE #: 123, EFPA: -11.69, SIGMA: 1.04, LD: 0.26, APO : 541937.68\n",
      "RUN #: 133, SAMPLE #: 185, EFPA: -11.66, SIGMA: 1.38, LD: 0.25, APO : 509975.97\n",
      "RUN #: 134, SAMPLE #: 178, EFPA: -11.70, SIGMA: 0.81, LD: 0.23, APO : 559952.24\n",
      "RUN #: 135, SAMPLE #: 43, EFPA: -11.71, SIGMA: 0.81, LD: 0.24, APO : 531089.62\n",
      "RUN #: 136, SAMPLE #: 2, EFPA: -11.66, SIGMA: -0.42, LD: 0.24, APO : 548446.64\n",
      "RUN #: 137, SAMPLE #: 31, EFPA: -11.69, SIGMA: -0.06, LD: 0.21, APO : 576065.87\n",
      "RUN #: 138, SAMPLE #: 126, EFPA: -11.72, SIGMA: 0.52, LD: 0.25, APO : 526247.32\n",
      "RUN #: 139, SAMPLE #: 96, EFPA: -11.73, SIGMA: 0.00, LD: 0.25, APO : 543746.95\n",
      "RUN #: 140, SAMPLE #: 54, EFPA: -11.67, SIGMA: 0.81, LD: 0.26, APO : 499416.52\n",
      "RUN #: 141, SAMPLE #: 152, EFPA: -11.72, SIGMA: 0.49, LD: 0.27, APO : 519317.77\n",
      "RUN #: 142, SAMPLE #: 197, EFPA: -11.66, SIGMA: -0.08, LD: 0.24, APO : 480385.07\n",
      "RUN #: 143, SAMPLE #: 192, EFPA: -11.67, SIGMA: 1.08, LD: 0.24, APO : 520402.46\n",
      "RUN #: 144, SAMPLE #: 46, EFPA: -11.67, SIGMA: 0.14, LD: 0.25, APO : 514575.79\n",
      "RUN #: 145, SAMPLE #: 196, EFPA: -11.77, SIGMA: 0.89, LD: 0.23, APO : 486561.87\n",
      "RUN #: 146, SAMPLE #: 92, EFPA: -11.71, SIGMA: -0.66, LD: 0.25, APO : 503561.64\n",
      "RUN #: 147, SAMPLE #: 43, EFPA: -11.69, SIGMA: -0.43, LD: 0.24, APO : 524227.83\n",
      "RUN #: 148, SAMPLE #: 4, EFPA: -11.68, SIGMA: 0.00, LD: 0.23, APO : 524968.92\n",
      "RUN #: 149, SAMPLE #: 2, EFPA: -11.69, SIGMA: 1.76, LD: 0.24, APO : 518742.82\n",
      "RUN #: 150, SAMPLE #: 133, EFPA: -11.68, SIGMA: -0.09, LD: 0.23, APO : 527401.93\n",
      "RUN #: 151, SAMPLE #: 153, EFPA: -11.70, SIGMA: -1.16, LD: 0.25, APO : 518215.12\n",
      "RUN #: 152, SAMPLE #: 160, EFPA: -11.71, SIGMA: -0.37, LD: 0.24, APO : 495655.39\n",
      "RUN #: 153, SAMPLE #: 100, EFPA: -11.66, SIGMA: -0.08, LD: 0.26, APO : 561898.79\n",
      "RUN #: 154, SAMPLE #: 179, EFPA: -11.68, SIGMA: 0.68, LD: 0.23, APO : 547317.95\n",
      "RUN #: 155, SAMPLE #: 119, EFPA: -11.70, SIGMA: 0.48, LD: 0.26, APO : 513817.56\n",
      "RUN #: 156, SAMPLE #: 33, EFPA: -11.71, SIGMA: -1.62, LD: 0.25, APO : 509954.19\n",
      "RUN #: 157, SAMPLE #: 61, EFPA: -11.67, SIGMA: -1.39, LD: 0.24, APO : 508813.55\n",
      "RUN #: 158, SAMPLE #: 198, EFPA: -11.69, SIGMA: -0.55, LD: 0.24, APO : 509022.87\n",
      "RUN #: 159, SAMPLE #: 132, EFPA: -11.70, SIGMA: 0.53, LD: 0.25, APO : 510124.80\n",
      "RUN #: 160, SAMPLE #: 129, EFPA: -11.68, SIGMA: 0.33, LD: 0.26, APO : 532197.08\n",
      "RUN #: 161, SAMPLE #: 63, EFPA: -11.69, SIGMA: 0.47, LD: 0.22, APO : 533544.21\n",
      "RUN #: 162, SAMPLE #: 106, EFPA: -11.74, SIGMA: 1.01, LD: 0.26, APO : 556206.16\n",
      "RUN #: 163, SAMPLE #: 30, EFPA: -11.69, SIGMA: 2.56, LD: 0.26, APO : 526717.19\n",
      "RUN #: 164, SAMPLE #: 66, EFPA: -11.73, SIGMA: 0.28, LD: 0.24, APO : 467574.69\n",
      "RUN #: 165, SAMPLE #: 96, EFPA: -11.69, SIGMA: -1.49, LD: 0.23, APO : 520524.54\n",
      "RUN #: 166, SAMPLE #: 64, EFPA: -11.69, SIGMA: -0.15, LD: 0.24, APO : 523910.06\n",
      "RUN #: 167, SAMPLE #: 52, EFPA: -11.67, SIGMA: 0.49, LD: 0.24, APO : 528024.79\n",
      "RUN #: 168, SAMPLE #: 66, EFPA: -11.73, SIGMA: -0.34, LD: 0.21, APO : 488315.54\n",
      "RUN #: 169, SAMPLE #: 191, EFPA: -11.72, SIGMA: 1.54, LD: 0.25, APO : 529284.60\n",
      "RUN #: 170, SAMPLE #: 38, EFPA: -11.75, SIGMA: 0.92, LD: 0.24, APO : 501191.06\n",
      "RUN #: 171, SAMPLE #: 190, EFPA: -11.73, SIGMA: 0.25, LD: 0.23, APO : 460000.67\n",
      "RUN #: 172, SAMPLE #: 91, EFPA: -11.71, SIGMA: -0.30, LD: 0.23, APO : 531603.92\n",
      "RUN #: 173, SAMPLE #: 176, EFPA: -11.76, SIGMA: -0.18, LD: 0.21, APO : 530349.10\n",
      "RUN #: 174, SAMPLE #: 14, EFPA: -11.72, SIGMA: 0.23, LD: 0.26, APO : 584125.64\n",
      "RUN #: 175, SAMPLE #: 9, EFPA: -11.74, SIGMA: -0.02, LD: 0.22, APO : 529831.03\n",
      "RUN #: 176, SAMPLE #: 186, EFPA: -11.70, SIGMA: 0.59, LD: 0.24, APO : 558485.73\n",
      "RUN #: 177, SAMPLE #: 168, EFPA: -11.71, SIGMA: -0.35, LD: 0.24, APO : 531054.91\n",
      "RUN #: 178, SAMPLE #: 95, EFPA: -11.69, SIGMA: -1.54, LD: 0.24, APO : 477510.12\n",
      "RUN #: 179, SAMPLE #: 10, EFPA: -11.69, SIGMA: 0.34, LD: 0.23, APO : 470862.12\n",
      "RUN #: 180, SAMPLE #: 164, EFPA: -11.67, SIGMA: 1.84, LD: 0.25, APO : 619117.94\n",
      "RUN #: 181, SAMPLE #: 166, EFPA: -11.69, SIGMA: 0.40, LD: 0.22, APO : 547019.38\n",
      "RUN #: 182, SAMPLE #: 71, EFPA: -11.71, SIGMA: -0.01, LD: 0.23, APO : 500770.24\n",
      "RUN #: 183, SAMPLE #: 189, EFPA: -11.70, SIGMA: -0.70, LD: 0.24, APO : 548622.73\n",
      "RUN #: 184, SAMPLE #: 17, EFPA: -11.72, SIGMA: -1.31, LD: 0.25, APO : 533737.22\n",
      "RUN #: 185, SAMPLE #: 33, EFPA: -11.70, SIGMA: 1.88, LD: 0.21, APO : 534160.77\n",
      "RUN #: 186, SAMPLE #: 96, EFPA: -11.70, SIGMA: 0.75, LD: 0.26, APO : 560032.96\n",
      "RUN #: 187, SAMPLE #: 78, EFPA: -11.69, SIGMA: 1.12, LD: 0.26, APO : 526947.85\n",
      "RUN #: 188, SAMPLE #: 125, EFPA: -11.73, SIGMA: -0.29, LD: 0.23, APO : 559556.57\n",
      "RUN #: 189, SAMPLE #: 165, EFPA: -11.66, SIGMA: 0.75, LD: 0.23, APO : 511518.05\n",
      "RUN #: 190, SAMPLE #: 161, EFPA: -11.70, SIGMA: 0.44, LD: 0.23, APO : 542807.08\n",
      "RUN #: 191, SAMPLE #: 51, EFPA: -11.72, SIGMA: 0.41, LD: 0.23, APO : 456870.87\n",
      "RUN #: 192, SAMPLE #: 96, EFPA: -11.67, SIGMA: -0.51, LD: 0.24, APO : 462990.91\n",
      "RUN #: 193, SAMPLE #: 137, EFPA: -11.71, SIGMA: 0.16, LD: 0.25, APO : 492746.35\n",
      "RUN #: 194, SAMPLE #: 25, EFPA: -11.68, SIGMA: -0.46, LD: 0.24, APO : 479609.99\n",
      "RUN #: 195, SAMPLE #: 113, EFPA: -11.64, SIGMA: 0.57, LD: 0.22, APO : 515118.98\n",
      "RUN #: 196, SAMPLE #: 184, EFPA: -11.70, SIGMA: -3.25, LD: 0.24, APO : 640674.51\n",
      "RUN #: 197, SAMPLE #: 53, EFPA: -11.72, SIGMA: 1.89, LD: 0.25, APO : 509019.30\n",
      "RUN #: 198, SAMPLE #: 63, EFPA: -11.67, SIGMA: 0.79, LD: 0.21, APO : 522327.70\n",
      "RUN #: 199, SAMPLE #: 153, EFPA: -11.70, SIGMA: 0.78, LD: 0.26, APO : 563747.91\n",
      "RUN #: 200, SAMPLE #: 56, EFPA: -11.71, SIGMA: -0.50, LD: 0.20, APO : 517576.08\n"
     ]
    }
   ],
   "source": [
    "vehicle.runMonteCarlo2(200, '../../../data/acta-astronautica/uranus-orbiter-probe/MCBXB')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "86177244",
   "metadata": {},
   "outputs": [],
   "source": [
    "p1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXB/terminal_periapsis_arr.txt')\n",
    "x1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXB/terminal_apoapsis_arr.txt')\n",
    "y1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXB/acc_net_g_max_arr.txt')\n",
    "z1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXB/q_stag_max_arr.txt')\n",
    "h1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXB/heatload_max_arr.txt')\n",
    "u1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXB/periapsis_raise_DV_arr.txt')\n",
    "v1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXB/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": [
       "<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 outlier cases"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "16d56d02",
   "metadata": {},
   "source": [
    "There are no outlier cases."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "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  |    454590          455180         526433          635098          640675\n",
      "Periapsis altitude, km |       163             164            192             211             211\n",
      "Peak deceleration, g   |       6.98           7.04           7.92            8.88           8.92\n",
      "Peak heat rate, W/cm2  |       1632           1636           1742            1844            1844\n",
      "Peak heat load, kJ/cm2 |        214            214            221             228             229\n",
      "Periapsis raise dV, m/s|      55.33          55.65          65.85           74.67           74.74\n",
      "Apoapsis corr. dV, m/s |     -64.51         -60.95           21.78          92.36          93.04\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": 8,
   "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-XB.png', dpi= 300,bbox_inches='tight')\n",
    "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/periapsis-vs-apoapsis-XB.pdf', dpi=300,bbox_inches='tight')\n",
    "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/periapsis-vs-apoapsis-XB.eps', dpi=300,bbox_inches='tight')\n",
    "\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "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-XB.png', dpi= 300,bbox_inches='tight')\n",
    "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/heat-rate-vs-g-load-XB.pdf', dpi=300,bbox_inches='tight')\n",
    "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/heat-rate-vs-g-load-XB.eps', dpi=300,bbox_inches='tight')\n",
    "\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "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=20, 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=30, 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-XB.png', dpi= 300,bbox_inches='tight')\n",
    "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/prm-arm-maneuvers-XB.pdf', dpi=300,bbox_inches='tight')\n",
    "plt.savefig('../../../data/acta-astronautica/uranus-orbiter-probe/prm-arm-maneuvers-XB.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": 13,
   "id": "ce5b3b0e",
   "metadata": {},
   "outputs": [],
   "source": [
    "p1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXB/terminal_periapsis_arr.txt')\n",
    "x1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXB/terminal_apoapsis_arr.txt')\n",
    "y1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXB/acc_net_g_max_arr.txt')\n",
    "z1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXB/q_stag_max_arr.txt')\n",
    "h1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXB/heatload_max_arr.txt')\n",
    "u1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXB/periapsis_raise_DV_arr.txt')\n",
    "v1  = np.loadtxt('../../../data/acta-astronautica/uranus-orbiter-probe/MCBXB/apoapsis_raise_DV_arr.txt')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "34c7a258",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.785"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "percent_between(x1, 500e3, 600e3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "750d57ed",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "percent_between(x1, 450e3, 650e3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "b11149fd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "percent_between(x1, 350e3, 750e3)"
   ]
  }
 ],
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