{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "5a7f7844",
   "metadata": {},
   "source": [
    "# Example - 74 - Uranus Aerocapture - Part 3"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9feb5489",
   "metadata": {},
   "source": [
    "In this example we illustrate the selection of a equilibrium glide guidance parameters and setting up a Monte Carlo simulation for aerocapture at Uranus."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "49b1618e",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "from AMAT.planet import Planet\n",
    "from AMAT.vehicle import Vehicle"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "732f7826",
   "metadata": {},
   "source": [
    "Set up a Planet object for Uranus."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "76e37f82",
   "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": "markdown",
   "id": "91d5a14a",
   "metadata": {},
   "source": [
    "Set up a vehicle object. Set the intitial state based on the discussion in ```example-72-uranus-aerocapture-part-2```"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "615acdb0",
   "metadata": {},
   "outputs": [],
   "source": [
    "vehicle=Vehicle('Titania', 3000.0, 200.0 , 0.36, np.pi*4.5**2.0, 0.0, 1.125, planet)\n",
    "vehicle.setInitialState(1000.0,-80.95,25.22,27.5946,132.066,-13.0 ,0.0,0.0)\n",
    "vehicle.setSolverParams(1E-6)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2b69c67d",
   "metadata": {},
   "source": [
    "Compute the parameters used in the equilibrium glide aerocapture guidance algorithm following Cerimele and Gamble. ```A Simplified Guidance Algorithm for Lifting Aeroassist Orbital Transfer Vehicles,” in 23rd Aerospace Sciences Meeting, Houston, TX, 1985, p. 348. doi: 10.2514/6.1985-348.``` Propogate the entry for a few seconds to compute the dynamic pressure profile during entry, and compute a linear fit: ```q = ah + b```."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "9ed756a4",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "findfont: Font family ['Times New Roman'] not found. Falling back to DejaVu Sans.\n",
      "findfont: Font family ['Times New Roman'] not found. Falling back to DejaVu Sans.\n"
     ]
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 425x425 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "vehicle.propogateEntry2(200, 0.1, 0)\n",
    "\n",
    "# Values for -13.64 deg, these are the linear fit \n",
    "# y = ax + b parameters used to compute Ghdot and Gq (see refs.)\n",
    "a = -0.155\n",
    "b =  56000\n",
    "\n",
    "x_arr = np.linspace(260.0E3,350.0E3,101)\n",
    "y_arr = a*x_arr + b\n",
    "\n",
    "fig = plt.figure()\n",
    "fig.set_size_inches([4.25,4.25])\n",
    "plt.rc('font',family='Times New Roman')\n",
    "params = {'mathtext.default': 'regular' }          \n",
    "plt.rcParams.update(params)\n",
    "\n",
    "plt.plot(vehicle.h_kmc*1E3,vehicle.dyn_pres_atm*1.01325E5,'r-',linewidth=3.0)\n",
    "\n",
    "plt.xlim(100.0E3, 700.0E3)\n",
    "#plt.ylim(0.0,12500.0)\n",
    "\n",
    "plt.plot(x_arr,y_arr,color='k',linewidth=2.0,linestyle='dashed')\n",
    "plt.xlabel(\"Altitude, m\", fontsize=10)\n",
    "plt.ylabel(\"Dynamic pressure, Pa \",fontsize=10)\n",
    "\n",
    "plt.xticks(np.array([200.0E3 ,300E3, 400.00E3,  500e3, 600.0E3]),fontsize=10)\n",
    "\n",
    "ax=plt.gca()\n",
    "ax.tick_params(direction='in')\n",
    "ax.yaxis.set_ticks_position('both')\n",
    "ax.xaxis.set_ticks_position('both')\n",
    "ax.tick_params(axis='x',labelsize=10)\n",
    "ax.tick_params(axis='y',labelsize=10)\n",
    "ax.tick_params(direction='in')\n",
    "\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=2, length=8)\n",
    "ax.yaxis.set_tick_params(width=2, 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",
    "ax.annotate(r'$\\bar{q} = -0.155h + 56000$',\n",
    "    xy=(348586, 9103.4) ,\n",
    "    xytext=(431181, 9103.4),\n",
    "    arrowprops=dict(arrowstyle=\"<-\"),  va=\"center\", ha=\"left\", fontsize=9)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2ee2efb1",
   "metadata": {},
   "source": [
    "From the above, a = -0.155, b = 56000. Following Cerimel and Gamble (1985)\n",
    "\n",
    "\\begin{equation}\n",
    "\\label{eq:omega}    \n",
    "{\\omega_n}^2 = -\\frac{C_L S}{m} G_{\\bar{q}} a\n",
    "\\end{equation}\n",
    "\n",
    "\\begin{equation}\n",
    "\\label{eq:zeta}    \n",
    "2 \\zeta {\\omega_n} = \\frac{C_L S}{m} G_{\\dot{h}}\n",
    "\\end{equation}\n",
    "\n",
    "Using $\\omega_n$ = 0.05, and $\\zeta$ = 1.5, $G_{\\bar{q}}$ and $G_{\\dot{h}}$ are computed as follows"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "fad0c074",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "8.960573476702512"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "0.05**2*200/(0.36*0.155)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "67b36869",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "83.33333333333334"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "2*1.5*0.05*200/0.36"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "107b15c3",
   "metadata": {},
   "source": [
    "The vehicle initial state (other than the EFPA) is easy to set from the approach trajectory result. \n",
    "\n",
    "The selection of the target EFPA is a slightly tricky problem. A first estimate of the target EFPA is available from ```example-72-uranus-aerocapture-part-2```. We assume the approach navigation is able to deliver a 1-sigma EFPA error of 0.1667 deg, or 0.50 deg (3-sigma). The EFPA must be chosen such that the (target value - 3-sigma) should be able to capture in the expected thin atmosphere (nominal density - 3-sigma), and the (target value + 3-sigma) should not result in considerable apoapsis undershoot in case of thick atmosphere (nominal density + 3-sigma). For this example, we choose a target EFPA = -12.80 deg. This puts the -3-sigma EFPA at -12.30 deg, providing some margin (0.27 deg.) against escape in case of shallow entry combined with thin atmosphere. At the other end, the +3-sigma EFPA is -13.30 deg which also provides some margin (0.65 deg) against apoapsis undershoot in case of steep entry and thick atmosphere. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "ab2326ec",
   "metadata": {},
   "outputs": [],
   "source": [
    "vehicle=Vehicle('Titania', 3000.0, 200 , 0.36, np.pi*4.5**2.0, 0.0, 1.125, planet)\n",
    "vehicle.setInitialState(1000.0,-80.95,25.22,27.5946,132.066,-12.80 ,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": "69bef355",
   "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": "bf1a36b8",
   "metadata": {},
   "outputs": [],
   "source": [
    "vehicle.setupMonteCarloSimulation(1201, 200, atmfiles, 0, 1, 2, 3, 4, True, \\\n",
    "                                 -12.80, 0.1667, 0.36, 0.013, 0.5, 0.1, 2400.0)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6616d862",
   "metadata": {},
   "source": [
    "Propogate 100 guided trajectories."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "65fa86eb",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RUN #: 1, SAMPLE #: 180, EFPA: -12.55, SIGMA: -0.83, LD: 0.36, APO : 524027.02\n",
      "RUN #: 2, SAMPLE #: 5, EFPA: -12.68, SIGMA: 0.44, LD: 0.35, APO : 478167.79\n",
      "RUN #: 3, SAMPLE #: 73, EFPA: -12.73, SIGMA: -1.82, LD: 0.37, APO : 513511.78\n",
      "RUN #: 4, SAMPLE #: 77, EFPA: -12.87, SIGMA: -0.10, LD: 0.37, APO : 534446.41\n",
      "RUN #: 5, SAMPLE #: 149, EFPA: -13.08, SIGMA: -0.65, LD: 0.38, APO : 490116.72\n",
      "RUN #: 6, SAMPLE #: 100, EFPA: -12.83, SIGMA: -0.51, LD: 0.36, APO : 519722.91\n",
      "RUN #: 7, SAMPLE #: 135, EFPA: -12.58, SIGMA: -1.75, LD: 0.37, APO : 513747.29\n",
      "RUN #: 8, SAMPLE #: 4, EFPA: -12.69, SIGMA: 0.58, LD: 0.35, APO : 507983.07\n",
      "RUN #: 9, SAMPLE #: 105, EFPA: -12.83, SIGMA: -1.48, LD: 0.37, APO : 503749.90\n",
      "RUN #: 10, SAMPLE #: 98, EFPA: -12.73, SIGMA: -1.31, LD: 0.37, APO : 493052.87\n",
      "RUN #: 11, SAMPLE #: 118, EFPA: -13.03, SIGMA: -0.68, LD: 0.37, APO : 494389.86\n",
      "RUN #: 12, SAMPLE #: 119, EFPA: -12.99, SIGMA: 1.81, LD: 0.37, APO : 491178.05\n",
      "RUN #: 13, SAMPLE #: 156, EFPA: -12.83, SIGMA: -0.42, LD: 0.36, APO : 524869.79\n",
      "RUN #: 14, SAMPLE #: 7, EFPA: -12.82, SIGMA: 0.37, LD: 0.37, APO : 515989.66\n",
      "RUN #: 15, SAMPLE #: 133, EFPA: -12.86, SIGMA: -0.53, LD: 0.36, APO : 489755.47\n",
      "RUN #: 16, SAMPLE #: 176, EFPA: -12.94, SIGMA: 0.93, LD: 0.38, APO : 497603.29\n",
      "RUN #: 17, SAMPLE #: 81, EFPA: -12.79, SIGMA: -1.30, LD: 0.36, APO : 481778.39\n",
      "RUN #: 18, SAMPLE #: 167, EFPA: -12.76, SIGMA: 1.16, LD: 0.38, APO : 493829.19\n",
      "RUN #: 19, SAMPLE #: 35, EFPA: -12.65, SIGMA: 1.51, LD: 0.37, APO : 531571.21\n",
      "RUN #: 20, SAMPLE #: 168, EFPA: -12.63, SIGMA: -0.14, LD: 0.37, APO : 526488.86\n",
      "RUN #: 21, SAMPLE #: 6, EFPA: -12.66, SIGMA: 0.43, LD: 0.34, APO : 520835.40\n",
      "RUN #: 22, SAMPLE #: 197, EFPA: -13.04, SIGMA: 1.26, LD: 0.36, APO : 471494.05\n",
      "RUN #: 23, SAMPLE #: 5, EFPA: -12.85, SIGMA: -0.04, LD: 0.36, APO : 489225.16\n",
      "RUN #: 24, SAMPLE #: 188, EFPA: -12.66, SIGMA: 1.03, LD: 0.37, APO : 528314.71\n",
      "RUN #: 25, SAMPLE #: 3, EFPA: -13.06, SIGMA: 0.89, LD: 0.38, APO : 524305.86\n",
      "RUN #: 26, SAMPLE #: 136, EFPA: -12.54, SIGMA: 0.38, LD: 0.38, APO : 507730.05\n",
      "RUN #: 27, SAMPLE #: 38, EFPA: -12.54, SIGMA: -0.57, LD: 0.37, APO : 516998.32\n",
      "RUN #: 28, SAMPLE #: 79, EFPA: -12.60, SIGMA: 0.06, LD: 0.36, APO : 515393.97\n",
      "RUN #: 29, SAMPLE #: 31, EFPA: -12.78, SIGMA: -1.85, LD: 0.38, APO : 530331.87\n",
      "RUN #: 30, SAMPLE #: 30, EFPA: -12.52, SIGMA: 1.00, LD: 0.35, APO : 505280.49\n",
      "RUN #: 31, SAMPLE #: 62, EFPA: -12.80, SIGMA: 1.06, LD: 0.35, APO : 522314.70\n",
      "RUN #: 32, SAMPLE #: 120, EFPA: -12.55, SIGMA: -0.43, LD: 0.36, APO : 523096.02\n",
      "RUN #: 33, SAMPLE #: 111, EFPA: -12.80, SIGMA: 1.56, LD: 0.35, APO : 495903.99\n",
      "RUN #: 34, SAMPLE #: 2, EFPA: -12.71, SIGMA: -1.11, LD: 0.37, APO : 534945.17\n",
      "RUN #: 35, SAMPLE #: 143, EFPA: -12.82, SIGMA: -0.03, LD: 0.34, APO : 513493.81\n",
      "RUN #: 36, SAMPLE #: 105, EFPA: -12.53, SIGMA: 0.61, LD: 0.34, APO : 517309.07\n",
      "RUN #: 37, SAMPLE #: 106, EFPA: -12.82, SIGMA: 0.89, LD: 0.40, APO : 488196.50\n",
      "RUN #: 38, SAMPLE #: 25, EFPA: -12.90, SIGMA: -0.37, LD: 0.36, APO : 545628.94\n",
      "RUN #: 39, SAMPLE #: 124, EFPA: -12.80, SIGMA: 1.42, LD: 0.37, APO : 499014.22\n",
      "RUN #: 40, SAMPLE #: 137, EFPA: -12.70, SIGMA: 0.81, LD: 0.34, APO : 512430.75\n",
      "RUN #: 41, SAMPLE #: 34, EFPA: -12.69, SIGMA: 0.45, LD: 0.34, APO : 510861.72\n",
      "RUN #: 42, SAMPLE #: 77, EFPA: -12.75, SIGMA: 0.03, LD: 0.35, APO : 522768.12\n",
      "RUN #: 43, SAMPLE #: 74, EFPA: -12.56, SIGMA: -1.05, LD: 0.35, APO : 551946.45\n",
      "RUN #: 44, SAMPLE #: 39, EFPA: -12.96, SIGMA: -0.18, LD: 0.37, APO : 533457.26\n",
      "RUN #: 45, SAMPLE #: 70, EFPA: -12.70, SIGMA: -0.27, LD: 0.35, APO : 497373.61\n",
      "RUN #: 46, SAMPLE #: 108, EFPA: -12.91, SIGMA: 1.25, LD: 0.35, APO : 484137.24\n",
      "RUN #: 47, SAMPLE #: 18, EFPA: -13.05, SIGMA: 0.37, LD: 0.35, APO : 476890.11\n",
      "RUN #: 48, SAMPLE #: 2, EFPA: -12.80, SIGMA: -0.17, LD: 0.36, APO : 541290.54\n",
      "RUN #: 49, SAMPLE #: 14, EFPA: -12.86, SIGMA: -2.28, LD: 0.36, APO : 487840.40\n",
      "RUN #: 50, SAMPLE #: 58, EFPA: -12.82, SIGMA: -0.88, LD: 0.36, APO : 503981.29\n",
      "RUN #: 51, SAMPLE #: 113, EFPA: -12.56, SIGMA: -0.47, LD: 0.34, APO : 523246.70\n",
      "RUN #: 52, SAMPLE #: 171, EFPA: -12.85, SIGMA: -1.26, LD: 0.35, APO : 504941.78\n",
      "RUN #: 53, SAMPLE #: 17, EFPA: -12.81, SIGMA: 1.02, LD: 0.36, APO : 492121.66\n",
      "RUN #: 54, SAMPLE #: 79, EFPA: -13.00, SIGMA: 0.84, LD: 0.36, APO : 479304.88\n",
      "RUN #: 55, SAMPLE #: 134, EFPA: -12.66, SIGMA: -0.17, LD: 0.37, APO : 493614.90\n",
      "RUN #: 56, SAMPLE #: 115, EFPA: -13.11, SIGMA: 0.55, LD: 0.37, APO : 484755.64\n",
      "RUN #: 57, SAMPLE #: 118, EFPA: -12.48, SIGMA: -0.38, LD: 0.34, APO : 531621.18\n",
      "RUN #: 58, SAMPLE #: 20, EFPA: -12.86, SIGMA: -0.03, LD: 0.36, APO : 485232.59\n",
      "RUN #: 59, SAMPLE #: 130, EFPA: -12.98, SIGMA: 0.25, LD: 0.36, APO : 490032.26\n",
      "RUN #: 60, SAMPLE #: 141, EFPA: -12.48, SIGMA: 0.37, LD: 0.36, APO : 516582.02\n",
      "RUN #: 61, SAMPLE #: 169, EFPA: -12.84, SIGMA: 1.22, LD: 0.33, APO : 500604.74\n",
      "RUN #: 62, SAMPLE #: 118, EFPA: -12.41, SIGMA: 1.16, LD: 0.35, APO : 525646.86\n",
      "RUN #: 63, SAMPLE #: 179, EFPA: -13.12, SIGMA: 0.37, LD: 0.35, APO : 466605.95\n",
      "RUN #: 64, SAMPLE #: 181, EFPA: -12.37, SIGMA: -0.97, LD: 0.35, APO : 558141.63\n",
      "RUN #: 65, SAMPLE #: 53, EFPA: -12.65, SIGMA: 0.24, LD: 0.37, APO : 512587.08\n",
      "RUN #: 66, SAMPLE #: 175, EFPA: -12.72, SIGMA: 1.14, LD: 0.34, APO : 501872.14\n",
      "RUN #: 67, SAMPLE #: 169, EFPA: -13.04, SIGMA: -0.17, LD: 0.39, APO : 495872.18\n",
      "RUN #: 68, SAMPLE #: 20, EFPA: -12.83, SIGMA: 0.46, LD: 0.35, APO : 521723.34\n",
      "RUN #: 69, SAMPLE #: 174, EFPA: -12.76, SIGMA: -1.63, LD: 0.37, APO : 487852.34\n",
      "RUN #: 70, SAMPLE #: 43, EFPA: -12.58, SIGMA: 0.64, LD: 0.35, APO : 497722.47\n",
      "RUN #: 71, SAMPLE #: 53, EFPA: -12.63, SIGMA: 0.41, LD: 0.35, APO : 503835.13\n",
      "RUN #: 72, SAMPLE #: 110, EFPA: -12.68, SIGMA: 0.26, LD: 0.36, APO : 532383.09\n",
      "RUN #: 73, SAMPLE #: 142, EFPA: -12.70, SIGMA: -0.81, LD: 0.35, APO : 515436.90\n",
      "RUN #: 74, SAMPLE #: 66, EFPA: -12.65, SIGMA: -1.08, LD: 0.35, APO : 527546.06\n",
      "RUN #: 75, SAMPLE #: 142, EFPA: -12.73, SIGMA: -0.31, LD: 0.37, APO : 515880.01\n",
      "RUN #: 76, SAMPLE #: 103, EFPA: -12.85, SIGMA: -0.55, LD: 0.36, APO : 494269.99\n",
      "RUN #: 77, SAMPLE #: 9, EFPA: -12.82, SIGMA: -1.38, LD: 0.36, APO : 507053.59\n",
      "RUN #: 78, SAMPLE #: 71, EFPA: -12.92, SIGMA: -0.68, LD: 0.38, APO : 496068.24\n",
      "RUN #: 79, SAMPLE #: 30, EFPA: -12.76, SIGMA: -0.41, LD: 0.36, APO : 524483.08\n",
      "RUN #: 80, SAMPLE #: 175, EFPA: -12.85, SIGMA: 0.73, LD: 0.36, APO : 500812.75\n",
      "RUN #: 81, SAMPLE #: 12, EFPA: -12.81, SIGMA: -0.29, LD: 0.34, APO : 527159.37\n",
      "RUN #: 82, SAMPLE #: 98, EFPA: -12.66, SIGMA: 0.36, LD: 0.35, APO : 520884.95\n",
      "RUN #: 83, SAMPLE #: 42, EFPA: -12.95, SIGMA: 0.18, LD: 0.37, APO : 486903.20\n",
      "RUN #: 84, SAMPLE #: 139, EFPA: -12.66, SIGMA: -1.89, LD: 0.37, APO : 518124.02\n",
      "RUN #: 85, SAMPLE #: 42, EFPA: -12.98, SIGMA: 1.05, LD: 0.34, APO : 494035.94\n",
      "RUN #: 86, SAMPLE #: 159, EFPA: -12.86, SIGMA: -0.62, LD: 0.35, APO : 477250.88\n",
      "RUN #: 87, SAMPLE #: 108, EFPA: -12.71, SIGMA: 2.01, LD: 0.35, APO : 485696.98\n",
      "RUN #: 88, SAMPLE #: 52, EFPA: -12.63, SIGMA: -0.30, LD: 0.35, APO : 528134.82\n",
      "RUN #: 89, SAMPLE #: 195, EFPA: -12.60, SIGMA: 0.40, LD: 0.36, APO : 502138.06\n",
      "RUN #: 90, SAMPLE #: 128, EFPA: -12.91, SIGMA: -0.39, LD: 0.35, APO : 519437.38\n",
      "RUN #: 91, SAMPLE #: 71, EFPA: -12.83, SIGMA: -2.33, LD: 0.35, APO : 531887.18\n",
      "RUN #: 92, SAMPLE #: 188, EFPA: -12.83, SIGMA: 0.07, LD: 0.35, APO : 494853.64\n",
      "RUN #: 93, SAMPLE #: 163, EFPA: -12.55, SIGMA: -1.53, LD: 0.35, APO : 521681.44\n",
      "RUN #: 94, SAMPLE #: 163, EFPA: -12.49, SIGMA: 0.15, LD: 0.35, APO : 533140.78\n",
      "RUN #: 95, SAMPLE #: 187, EFPA: -12.68, SIGMA: -0.46, LD: 0.37, APO : 508596.95\n",
      "RUN #: 96, SAMPLE #: 188, EFPA: -12.64, SIGMA: 1.70, LD: 0.37, APO : 505111.16\n",
      "RUN #: 97, SAMPLE #: 124, EFPA: -12.72, SIGMA: 0.98, LD: 0.35, APO : 521911.31\n",
      "RUN #: 98, SAMPLE #: 142, EFPA: -12.72, SIGMA: 0.99, LD: 0.32, APO : 537695.15\n",
      "RUN #: 99, SAMPLE #: 181, EFPA: -12.53, SIGMA: -0.89, LD: 0.37, APO : 527053.16\n",
      "RUN #: 100, SAMPLE #: 87, EFPA: -12.60, SIGMA: 0.60, LD: 0.37, APO : 525199.55\n"
     ]
    }
   ],
   "source": [
    "vehicle.runMonteCarlo2(100, '../data/uranus2022/MCBX1')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "45c17834",
   "metadata": {},
   "outputs": [],
   "source": [
    "p1  = np.loadtxt('../data/uranus2022/MCBX1/terminal_periapsis_arr.txt')\n",
    "x1  = np.loadtxt('../data/uranus2022/MCBX1/terminal_apoapsis_arr.txt')\n",
    "y1  = np.loadtxt('../data/uranus2022/MCBX1/acc_net_g_max_arr.txt')\n",
    "z1  = np.loadtxt('../data/uranus2022/MCBX1/q_stag_max_arr.txt')\n",
    "h1  = np.loadtxt('../data/uranus2022/MCBX1/heatload_max_arr.txt')\n",
    "u1  = np.loadtxt('../data/uranus2022/MCBX1/periapsis_raise_DV_arr.txt')\n",
    "v1  = np.loadtxt('../data/uranus2022/MCBX1/apoapsis_raise_DV_arr.txt')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ea776bdf",
   "metadata": {},
   "source": [
    "Plot apoapsis historgram and apoapsis vs periapsis (before periapsis raise maneuver)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "db23df8b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 650x350 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, 2, figsize = (6.5, 3.5))\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=10)\n",
    "axes[0].set_ylabel('Number of cases', fontsize=10)\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=10)\n",
    "axes[0].tick_params(axis='y',labelsize=10)\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=10)\n",
    "axes[1].set_ylabel('Apoapsis altitude x '+r'$10^3$'+', km', fontsize=10)\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=10)\n",
    "axes[1].tick_params(axis='y',labelsize=10)\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",
    "\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "c329304a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 650x350 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, 2, figsize = (6.5, 3.5))\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].set_xlabel('Peak deceleration, Earth g', fontsize=10)\n",
    "axes[0].set_ylabel('Peak stagnation-point heat rate, '+r'$W/cm^2$', fontsize=10)\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=10)\n",
    "axes[0].tick_params(axis='y',labelsize=10)\n",
    "\n",
    "axes[1].plot(z1, h1, 'go', markersize=5, mfc='None')\n",
    "axes[1].set_xlabel('Peak stagnation-point heat rate, '+r'$W/cm^2$', fontsize=10)\n",
    "axes[1].set_ylabel('Peak stagnation-point heat load, '+r'$kJ/cm^2$', fontsize=10)\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=10)\n",
    "axes[1].tick_params(axis='y',labelsize=10)\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.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "57146599",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 650x350 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, 2, figsize = (6.5, 3.5))\n",
    "fig.tight_layout()\n",
    "plt.subplots_adjust(wspace=0.30)\n",
    "\n",
    "axes[0].hist(u1, bins=10, color='xkcd:periwinkle')\n",
    "axes[0].set_xlabel('Periapse raise '+r'$\\Delta V$'+', m/s', fontsize=10)\n",
    "axes[0].set_ylabel('Number of cases', fontsize=10)\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=10)\n",
    "axes[0].tick_params(axis='y',labelsize=10)\n",
    "\n",
    "axes[1].hist(v1, bins=10, color='xkcd:orange')\n",
    "axes[1].set_xlabel('Apoapsis correction '+r'$\\Delta V$'+', m/s', fontsize=10)\n",
    "axes[1].set_ylabel('Number of cases', fontsize=10)\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=10)\n",
    "axes[1].tick_params(axis='y',labelsize=10)\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.show()"
   ]
  }
 ],
 "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
}