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@meyer9
Created October 3, 2017 02:38
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Apollo 11 Simulation
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Goal:** We want to simulate an Apollo mission using ODEs and a <a href='https://www.hq.nasa.gov/alsj/a11/a11fltpln_final_reformat.pdf'>flight plan</a> from NASA's website.\n",
"\n",
"First let's define some variables and calculate the radius of the sphere of influence of the Moon compared to the Earth. We can calculate this by using the equation\n",
"\n",
"$SOI_{moon} = a(\\frac{M_{earth}}{m_{moon}})^{\\frac{2}{5}}$\n",
"\n",
"where $a$ is the semi-major axis of the Moon's orbit around the Earth."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"6162049.294420258"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"%matplotlib inline\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"G = 6.67408e-11\n",
"mass_earth = 5.972e24\n",
"mass_moon = 7.34767309e22\n",
"\n",
"geostationary_radius = 35786000\n",
"geostationary_velocity = 3.07e3\n",
"\n",
"moon_soi_r = geostationary_radius * (mass_moon / mass_earth) ** (2/5)\n",
"\n",
"moon_soi_r"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We're going to skip the first part of the launch and start when the ship leaves the atmosphere and establishes itself in orbit.\n",
"\n",
"To calculate this, first we want to find the velocity at the apogee of this orbit. We can do this by using the equation\n",
"\n",
"$e = \\frac{r_a - r_p}{r_a + r_p}$\n",
"\n",
"$v(\\theta) = \\frac{GM}{2q}(1+e^2 - 2cos(\\theta))$"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"7797.0354150886687"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"apogee = 6556200\n",
"perigee = 6556200\n",
"semi_major = (apogee + perigee) / 2\n",
"orbital_energy = (-G * mass_earth) / (2 * semi_major)\n",
"\n",
"def velocity(d):\n",
" return np.sqrt(2 * (orbital_energy + G * mass_earth / d))\n",
"\n",
"velocity(perigee)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Starting with a minimal example, this is a simulation of an object orbiting the Earth at a certain height."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def func(r, t):\n",
" p = r[0]\n",
" dpdt = r[1]\n",
" n = r[2]\n",
" dndt = r[3]\n",
" fp = dpdt\n",
" fn = dndt\n",
" fdpdt = -G * mass_earth * p / (np.sqrt(p ** 2 + n ** 2) ** 3)\n",
" fdndt = -G * mass_earth * n / (np.sqrt(p ** 2 + n ** 2) ** 3)\n",
" return np.array([fp, fdpdt, fn, fdndt], dtype=np.float64)\n",
"\n",
"def rk4_update(f, r, t, dt):\n",
" k1 = dt * f(r, t)\n",
" k2 = dt * f(r+0.5*k1, t+0.5*dt)\n",
" k3 = dt * f(r+0.5*k2, t+0.5*dt)\n",
" k4 = dt * f(r+k3, t+dt)\n",
"\n",
" return (k1 + 2*k2 + 2*k3 + k4)/6.0\n",
"\n",
"def rk4_adaptive(f, t1, t2, r1, N = 1000, err_tol=1.5e3):\n",
" dt = float(t2 - t1) / N\n",
" # Define initial condition\n",
" r = r1.copy()\n",
" \n",
" # Iterate RK4 Method\n",
" t = t1\n",
" xpoints = []\n",
" dxpoints = []\n",
" ypoints = []\n",
" dypoints = []\n",
" tpoints = []\n",
" while t < t2:\n",
" \n",
" # append value of x to xpoints\n",
" xpoints.append(r[0])\n",
" dxpoints.append(r[1])\n",
" ypoints.append(r[2])\n",
" dypoints.append(r[3])\n",
" tpoints.append(t)\n",
" # Enter error tolerance loop\n",
" while True:\n",
" r1_a = r + rk4_update(f, r, t, dt)\n",
" r1 = r1_a + rk4_update(f, r1_a, t + dt, dt)\n",
"\n",
" r2 = r + rk4_update(f, r, t, 2 * dt)\n",
" \n",
" eps_x = np.float64(np.abs(r1[0] - r2[0])/30.0)\n",
" eps_y = np.float64(np.abs(r1[2] - r2[2])/30.0)\n",
" eps_tot = np.sqrt(eps_x ** 2 + eps_y ** 2)\n",
" rho = (dt*err_tol / eps_tot)\n",
"\n",
" if rho >= 1.0:\n",
" if rho >= 2.0:\n",
" rho = 2.0\n",
" break\n",
" else:\n",
" if rho < 0.5:\n",
" rho = 0.5\n",
" dt *= 0.99*rho\n",
" dt *= 0.99*rho\n",
" \n",
" r = r1_a.copy()\n",
" \n",
" t += dt\n",
" \n",
" xpoints = np.array(xpoints)\n",
" dxpoints = np.array(dxpoints)\n",
" ypoints = np.array(ypoints)\n",
" dypoints = np.array(dypoints)\n",
" tpoints = np.array(tpoints)\n",
" return xpoints, dxpoints, ypoints, dypoints, tpoints\n",
"\n",
"starting_parameters = np.array([apogee, 0, 0, velocity(apogee)], dtype=np.float64)\n",
"\n",
"xpoints, dxpoints, ypoints, dypoints, tpoints = rk4_adaptive(func, 0, 200 * 60 * 60, starting_parameters, N=100, err_tol=1e-2)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x11065fd30>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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GuFNpsNR9XX8Q2w/txqhtWlu+3/99rKthjDFVJHgTov5jX7Ar/MbU5OsGVCk7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\nQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11063bd68>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib\n",
"\n",
"norm = matplotlib.colors.Normalize(\n",
" vmin=np.min(tpoints),\n",
" vmax=np.max(tpoints))\n",
"\n",
"# choose a colormap\n",
"c_m = matplotlib.cm.cool\n",
"\n",
"# create a ScalarMappable and initialize a data structure\n",
"s_m = matplotlib.cm.ScalarMappable(cmap=c_m, norm=norm)\n",
"s_m.set_array([])\n",
"\n",
"fig = plt.figure()\n",
"ax = fig.add_subplot(1, 1, 1)\n",
"earth = plt.Circle((0, 0), 6378100, color='green')\n",
"ax.add_artist(earth)\n",
"ax.plot(xpoints, ypoints)\n",
"ax.set_xlabel('X (m)')\n",
"ax.set_ylabel('Y (m)')\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To ensure this is correct, we can check the minimum x value, which should be the negative of our perigee."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"-6556174.8286782121"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.min(xpoints)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"idx = 0\n",
"\n",
"new_starting_parameters = np.array([xpoints[idx], dxpoints[idx], ypoints[idx], dypoints[idx]])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This looks similar to the old equation, but this one has logic for increasing the velocity for each of the burns at certain times."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def func(r, t):\n",
" x = r[0]\n",
" dxdt = r[1]\n",
" y = r[2]\n",
" dydt = r[3]\n",
" fx = dxdt\n",
" fy = dydt\n",
" \n",
" distance_to_moon = np.sqrt((x - 385000000) ** 2 + y ** 2)\n",
" \n",
" if distance_to_moon > moon_soi_r:\n",
" velvector = np.array([\n",
" -G * mass_earth * x / (np.sqrt(x ** 2 + y ** 2) ** 3),\n",
" -G * mass_earth * y / (np.sqrt(x ** 2 + y ** 2) ** 3)\n",
" ])\n",
" if t > loi_start and t < loi_end and np.sqrt(dxdt ** 2 + dydt ** 2) < (velocity(perigee) + loi_deltav):\n",
" prograde = np.array([-y, x])\n",
" prograde = prograde / np.linalg.norm(prograde)\n",
" velvector = velvector + prograde * loi_accel\n",
" if t > loi2_start and t < loi2_end:\n",
" prograde = np.array([-4.8*y, x])\n",
" prograde = prograde / np.linalg.norm(prograde)\n",
" velvector = velvector + prograde * loi2_accel\n",
" else:\n",
" velvector = np.array([\n",
" -G * mass_moon * (x - 385000000) / (np.sqrt((x - 385000000) ** 2 + y ** 2) ** 3),\n",
" -G * mass_moon * y / (np.sqrt((x - 385000000) ** 2 + y ** 2) ** 3)\n",
" ])\n",
" if t > circ_start and t < circ_end:\n",
" prograde = np.array([fx, fy])\n",
" prograde = prograde / np.linalg.norm(prograde)\n",
" velvector = velvector + prograde * circ_accel\n",
" if t > return_start and t < return_end:\n",
" prograde = np.array([fx, fy])\n",
" prograde = prograde / np.linalg.norm(prograde)\n",
" velvector = velvector + prograde * return_accel\n",
" return np.array([fx, velvector[0], fy, velvector[1]], dtype=np.float64)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def plot_color(ax, xpoints, ypoints, cpoints):\n",
" points = np.array([xpoints, ypoints]).T.reshape(-1, 1, 2)\n",
" segments = np.concatenate([points[:-1], points[1:]], axis=1)\n",
"\n",
" # Create the line collection object, setting the colormapping parameters.\n",
" # Have to set the actual values used for colormapping separately.\n",
" lc = matplotlib.collections.LineCollection(segments, cmap=matplotlib.cm.jet, norm=norm)\n",
" lc.set_array(cpoints)\n",
" return lc"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/jmeyer2k/anaconda/lib/python3.6/site-packages/ipykernel_launcher.py:50: RuntimeWarning: divide by zero encountered in double_scalars\n"
]
}
],
"source": [
"############# ORBITAL PARAMETERS ##################\n",
"# for this one, we can calculate our current velocity and our desired velocity\n",
"loi_deltav = np.float64(3033.4)\n",
"loi_start = np.float64(15641)\n",
"loi_end = loi_start + np.float64(358.9)\n",
"loi_accel = 120\n",
"\n",
"# for this one, we can really only make it time based\n",
"loi2_start = np.float64(300000)\n",
"loi2_end = loi2_start + np.float64(50000)\n",
"loi2_accel = 0.013\n",
"\n",
"circ_mid = 594688\n",
"circ_start = circ_mid - 300\n",
"circ_end = circ_mid + 300\n",
"circ_accel = -1.1\n",
"\n",
"return_mid = 653871\n",
"return_start = return_mid - 300\n",
"return_end = return_mid + 300\n",
"return_accel = 1.1524\n",
"############## END ORBITAL PARAMETERS ###############\n",
"\n",
"xpoints, dxpoints, ypoints, dypoints, tpoints = rk4_adaptive(func, 0, 60 * 60 * 24 * 26, starting_parameters, N=20000, err_tol=2e-6)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
"text/plain": [
"(-20000000.0, 400000000.0)"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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nmWdo27cvlzzzjIKViIjICaBwJSJSyfzy9ttMufdeznv4YXp88AHGpZcCERGRE0GvqCIi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\n8IN3UxmeSLek5EqkB2loCFEx400OoIRfP/qzhD5jDKuqmmK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KEpEv64tmrpYY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\nM1tuZj0lyTlXJGmjmQ2rj18EAOCLxyX9xDl3sqT/kfRI5QfN7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roXUuee693ev99bnfD1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9gSXkuFxw883WUvIHH7Q7jUjoUXElknoWZj4DKz+BvCXhnqlQ89aQ3Fd1KVoSKIHifvFR0t8d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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x112d6e358>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"xpoints = xpoints[:5829]\n",
"ypoints = ypoints[:5829]\n",
"tpoints = tpoints[:5829]\n",
"\n",
"fig = plt.figure(figsize=(14,42))\n",
"ax1 = fig.add_subplot(3, 1, 1)\n",
"ax2 = fig.add_subplot(3, 1, 2)\n",
"ax3 = fig.add_subplot(3, 1, 3)\n",
"\n",
"ax1.add_artist(plt.Circle((0, 0), 6378100, color='lightblue'))\n",
"ax1.add_artist(plt.Circle((0, 0), 6278100, color='green'))\n",
"ax2.add_artist(plt.Circle((385000000, 0), 1737000, color='grey'))\n",
"ax2.add_artist(plt.Circle((385000000, 0), 6162049, color='blue', fill=False))\n",
"ax3.add_artist(plt.Circle((0, 0), 6378100, color='green'))\n",
"ax3.add_artist(plt.Circle((385000000, 0), 1737000, color='grey'))\n",
"ax3.add_artist(plt.Circle((385000000, 0), 6162049, color='blue', fill=False))\n",
"\n",
"ax1.axis('equal')\n",
"ax2.axis('equal')\n",
"ax3.axis('equal')\n",
"\n",
"ax1.add_collection(plot_color(ax1, xpoints, ypoints, tpoints))\n",
"ax2.add_collection(plot_color(ax2, xpoints, ypoints, tpoints))\n",
"ax3.add_collection(plot_color(ax3, xpoints, ypoints, tpoints))\n",
"\n",
"ax1.set_xlim(-1e7, 1e7)\n",
"ax1.set_ylim(-1e7, 1e7)\n",
"\n",
"ax1.text(7.3e6, 0, '1', fontdict = {'fontsize': 20})\n",
"ax1.text(-7.4e6, 0, '2', fontdict = {'fontsize': 20})\n",
"ax1.text(-5.4e6, 0.13e7, '9', fontdict = {'fontsize': 20, 'color': 'white'})\n",
"ax3.text(259455759.88927794, -42257414.530365884, '3', fontdict = {'fontsize': 20})\n",
"ax2.text(3.8e8, 0.27e7, '4', fontdict = {'fontsize': 20})\n",
"ax2.text(3.875e8, 0, '5, 7', fontdict = {'fontsize': 20})\n",
"ax2.text(3.82e8, 0, '6', fontdict = {'fontsize': 20})\n",
"ax2.text(3.875e8, -0.27e7, '8', fontdict = {'fontsize': 20})\n",
"\n",
"ax1.set_title('Graph of Apollo mission simulation')\n",
"ax1.set_xlabel('X (m)')\n",
"ax1.set_ylabel('Y (m)')\n",
"\n",
"ax2.set_xlabel('X (m)')\n",
"ax2.set_ylabel('Y (m)')\n",
"\n",
"ax3.set_xlabel('X (m)')\n",
"ax3.set_ylabel('Y (m)')\n",
"\n",
"ax2.set_ylim([-1e7, 1e7])\n",
"ax2.set_xlim([3.75e8, 3.95e8]) # line collections don't auto-scale the plot\n",
"\n",
"ax3.set_ylim([-2.1e8, 2.1e8])\n",
"ax3.set_xlim([-2e7, 4e8]) # line collections don't auto-scale the plot"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Explanation\n",
"\n",
"The steps below outline the basic steps of the Apollo missions. The Earth is green in the above graphs with a light-blue atmosphere and the moon is gray. I've also added a blue circle around the moon to indicate the sphere of influence.\n",
"\n",
"1. The Apollo 11 simulation starts with the ship already in a circular, 100 nm orbit around the Earth. Simulating drag and fuel consumption from takeoff is beyond the scope of the project.\n",
"2. At the opposite side of the Earth from the moon, the ship undergoes its first burn to get close to a lunar orbit. Unfortunately, due to the nature of RK4, it is almost impossible to go directly into one from this point, meaning mid-course corrections will be required.\n",
"3. Now, at an arbitrarily chosen point (300000 seconds into launch), the command module burns again until it is in a desirable lunar orbit. Again, the precision of RK4 makes it impossible to calculate the delta-v needed, but the values get into a \"good enough\" orbit.\n",
"4. The command module enters the moon's sphere of influence. Because the Moon's gravitational pull is much stronger than the Earth's at this point, it's safe to ignore the Earth's gravity.\n",
"5. The command module burns retrograde (the opposite direction to its velocity) and circularizes the orbit around the moon.\n",
"6. In this simulation, the command module orbits 3 times before returning. During this time, the lunar module would undock, land, then launch again and rendezvous with the command module.\n",
"7. Again, we burn to escape the Moon's sphere of influence and gently fall back to Earth. This is actually a rather precise burn because it's important to enter the Earth's atmosphere at the correct angle. Too steep and the ship burns up, too shallow and we miss the Earth or land in the incorrect spot.\n",
"8. Finally, we leave the Moon's sphere of influence and ignore its gravity again.\n",
"9. The lunar module enters the Earth's atmosphere at a reasonable angle and splashes down in the water.\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Finally, I want to investigate how the initial parameters, especially the early ones change the trajectory. While trying to find the correct parameters, I found that sometimes these variables are not continuous compared to the output because of RK4 and the limitations of computers."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"First, I want to see how step size affects the orbit. I'll make a tiny change to step size from $2\\times10^{-6}$ to $1.8\\times10^{-6}$."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/jmeyer2k/anaconda/lib/python3.6/site-packages/ipykernel_launcher.py:50: RuntimeWarning: divide by zero encountered in double_scalars\n"
]
},
{
"data": {
"text/plain": [
"(-20000000.0, 400000000.0)"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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RERERkXanwwapnC++oNvw4aT36NHapYiIiIiISDvTIYNUJBhk85dfalifiIiIiIjslQ4Z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QdZdTv3tBxPhF8NoGhdVJ1gP8Id7l34nnlmJfv3n+bhh1vg7y/dU4XwhmoVpFz5+RhG2X1DL0RF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\n63POlQJCqVOnrB56qKNeeWWxHnporu84AAAgSlCkE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/xi+uWX0jvvBHv9dO/O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\necDGPhuKwPMhhLXAHTHGO3N8PSGEM4EzAXb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ewo+hWnXY/SA47GzoPAC23ynrKiVJkqSC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smKi8hau1TSUkmaNGkSf1QkhcTGyt3crMbqaoXHnv7nOq1dayW1SxvDpfk1XfOJXdGKigpR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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1131b08d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"############# ORBITAL PARAMETERS ##################\n",
"# for this one, we can calculate our current velocity and our desired velocity\n",
"loi_deltav = np.float64(3033.4)\n",
"loi_start = np.float64(15641)\n",
"loi_end = loi_start + np.float64(358.9)\n",
"loi_accel = 120\n",
"\n",
"# for this one, we can really only make it time based\n",
"loi2_start = np.float64(300000)\n",
"loi2_end = loi2_start + np.float64(50000)\n",
"loi2_accel = 0.013\n",
"\n",
"circ_mid = 594688\n",
"circ_start = circ_mid - 300\n",
"circ_end = circ_mid + 300\n",
"circ_accel = -1.1\n",
"\n",
"return_mid = 653871\n",
"return_start = return_mid - 300\n",
"return_end = return_mid + 300\n",
"return_accel = 1.1524\n",
"############## END ORBITAL PARAMETERS ###############\n",
"\n",
"xpoints, dxpoints, ypoints, dypoints, tpoints = rk4_adaptive(func, 0, 60 * 60 * 24 * 26, starting_parameters, N=20000, err_tol=1.8e-6)\n",
"\n",
"xpoints = xpoints[:5829]\n",
"ypoints = ypoints[:5829]\n",
"tpoints = tpoints[:5829]\n",
"\n",
"fig = plt.figure(figsize=(14,42))\n",
"ax1 = fig.add_subplot(3, 1, 1)\n",
"ax2 = fig.add_subplot(3, 1, 2)\n",
"ax3 = fig.add_subplot(3, 1, 3)\n",
"\n",
"ax1.add_artist(plt.Circle((0, 0), 6378100, color='lightblue'))\n",
"ax1.add_artist(plt.Circle((0, 0), 6278100, color='green'))\n",
"ax2.add_artist(plt.Circle((385000000, 0), 1737000, color='grey'))\n",
"ax2.add_artist(plt.Circle((385000000, 0), 6162049, color='blue', fill=False))\n",
"ax3.add_artist(plt.Circle((0, 0), 6378100, color='green'))\n",
"ax3.add_artist(plt.Circle((385000000, 0), 1737000, color='grey'))\n",
"ax3.add_artist(plt.Circle((385000000, 0), 6162049, color='blue', fill=False))\n",
"\n",
"ax1.axis('equal')\n",
"ax2.axis('equal')\n",
"ax3.axis('equal')\n",
"\n",
"ax1.add_collection(plot_color(ax1, xpoints, ypoints, tpoints))\n",
"ax2.add_collection(plot_color(ax2, xpoints, ypoints, tpoints))\n",
"ax3.add_collection(plot_color(ax3, xpoints, ypoints, tpoints))\n",
"\n",
"ax1.set_xlim(-1e7, 1e7)\n",
"ax1.set_ylim(-1e7, 1e7)\n",
"\n",
"ax1.text(7.3e6, 0, '1', fontdict = {'fontsize': 20})\n",
"ax1.text(-7.4e6, 0, '2', fontdict = {'fontsize': 20})\n",
"ax1.text(-5.4e6, 0.13e7, '9', fontdict = {'fontsize': 20, 'color': 'white'})\n",
"ax3.text(259455759.88927794, -42257414.530365884, '3', fontdict = {'fontsize': 20})\n",
"ax2.text(3.8e8, 0.27e7, '4', fontdict = {'fontsize': 20})\n",
"ax2.text(3.875e8, 0, '5, 7', fontdict = {'fontsize': 20})\n",
"ax2.text(3.82e8, 0, '6', fontdict = {'fontsize': 20})\n",
"ax2.text(3.875e8, -0.27e7, '8', fontdict = {'fontsize': 20})\n",
"\n",
"ax1.set_title('Graph of Apollo mission simulation')\n",
"ax1.set_xlabel('X (m)')\n",
"ax1.set_ylabel('Y (m)')\n",
"\n",
"ax2.set_xlabel('X (m)')\n",
"ax2.set_ylabel('Y (m)')\n",
"\n",
"ax3.set_xlabel('X (m)')\n",
"ax3.set_ylabel('Y (m)')\n",
"\n",
"ax2.set_ylim([-1e7, 1e7])\n",
"ax2.set_xlim([3.75e8, 3.95e8]) # line collections don't auto-scale the plot\n",
"\n",
"ax3.set_ylim([-2.1e8, 2.1e8])\n",
"ax3.set_xlim([-2e7, 4e8]) # line collections don't auto-scale the plot"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This made all of the burns completely inaccurate and left the spaceship on an escape trajectory from Earth. RK4, while good for some applications where super precise calculations are not needed, is not a good choice for orbital simulation, especially when factoring in acceleration and thrust."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now, we'll run a simulation where the $\\Delta V$ of the initial lunar orbit insertion is modified by 1% of 1%."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/jmeyer2k/anaconda/lib/python3.6/site-packages/ipykernel_launcher.py:50: RuntimeWarning: divide by zero encountered in double_scalars\n"
]
},
{
"data": {
"text/plain": [
"(-20000000.0, 400000000.0)"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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GPf447YYOJTopKdIlVimFKxERERERqbDsLVtYNXEiO+bPZ/2UKRi3m3aXXEL/e++lw69+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\nZnJFXqtVAWfNWsLPf/4KAwfmc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5RsADbDoHpoEKWC/W940O+yZYd58cVVHDhwieHD6/PM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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1131965c0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"############# ORBITAL PARAMETERS ##################\n",
"# for this one, we can calculate our current velocity and our desired velocity\n",
"loi_deltav = np.float64(3033.4 + (3033.4 / 100 / 100))\n",
"loi_start = np.float64(15641)\n",
"loi_end = loi_start + np.float64(358.9)\n",
"loi_accel = 120\n",
"\n",
"# for this one, we can really only make it time based\n",
"loi2_start = np.float64(300000)\n",
"loi2_end = loi2_start + np.float64(50000)\n",
"loi2_accel = 0.013\n",
"\n",
"circ_mid = 594688\n",
"circ_start = circ_mid - 300\n",
"circ_end = circ_mid + 300\n",
"circ_accel = -1.1\n",
"\n",
"return_mid = 653871\n",
"return_start = return_mid - 300\n",
"return_end = return_mid + 300\n",
"return_accel = 1.1524\n",
"############## END ORBITAL PARAMETERS ###############\n",
"\n",
"xpoints, dxpoints, ypoints, dypoints, tpoints = rk4_adaptive(func, 0, 60 * 60 * 24 * 26, starting_parameters, N=20000, err_tol=1.8e-6)\n",
"\n",
"xpoints = xpoints[:5829]\n",
"ypoints = ypoints[:5829]\n",
"tpoints = tpoints[:5829]\n",
"\n",
"fig = plt.figure(figsize=(14,42))\n",
"ax1 = fig.add_subplot(3, 1, 1)\n",
"ax2 = fig.add_subplot(3, 1, 2)\n",
"ax3 = fig.add_subplot(3, 1, 3)\n",
"\n",
"ax1.add_artist(plt.Circle((0, 0), 6378100, color='lightblue'))\n",
"ax1.add_artist(plt.Circle((0, 0), 6278100, color='green'))\n",
"ax2.add_artist(plt.Circle((385000000, 0), 1737000, color='grey'))\n",
"ax2.add_artist(plt.Circle((385000000, 0), 6162049, color='blue', fill=False))\n",
"ax3.add_artist(plt.Circle((0, 0), 6378100, color='green'))\n",
"ax3.add_artist(plt.Circle((385000000, 0), 1737000, color='grey'))\n",
"ax3.add_artist(plt.Circle((385000000, 0), 6162049, color='blue', fill=False))\n",
"\n",
"ax1.axis('equal')\n",
"ax2.axis('equal')\n",
"ax3.axis('equal')\n",
"\n",
"ax1.add_collection(plot_color(ax1, xpoints, ypoints, tpoints))\n",
"ax2.add_collection(plot_color(ax2, xpoints, ypoints, tpoints))\n",
"ax3.add_collection(plot_color(ax3, xpoints, ypoints, tpoints))\n",
"\n",
"ax1.set_xlim(-1e7, 1e7)\n",
"ax1.set_ylim(-1e7, 1e7)\n",
"\n",
"ax1.text(7.3e6, 0, '1', fontdict = {'fontsize': 20})\n",
"ax1.text(-7.4e6, 0, '2', fontdict = {'fontsize': 20})\n",
"ax1.text(-5.4e6, 0.13e7, '9', fontdict = {'fontsize': 20, 'color': 'white'})\n",
"ax3.text(259455759.88927794, -42257414.530365884, '3', fontdict = {'fontsize': 20})\n",
"ax2.text(3.8e8, 0.27e7, '4', fontdict = {'fontsize': 20})\n",
"ax2.text(3.875e8, 0, '5, 7', fontdict = {'fontsize': 20})\n",
"ax2.text(3.82e8, 0, '6', fontdict = {'fontsize': 20})\n",
"ax2.text(3.875e8, -0.27e7, '8', fontdict = {'fontsize': 20})\n",
"\n",
"ax1.set_title('Graph of Apollo mission simulation')\n",
"ax1.set_xlabel('X (m)')\n",
"ax1.set_ylabel('Y (m)')\n",
"\n",
"ax2.set_xlabel('X (m)')\n",
"ax2.set_ylabel('Y (m)')\n",
"\n",
"ax3.set_xlabel('X (m)')\n",
"ax3.set_ylabel('Y (m)')\n",
"\n",
"ax2.set_ylim([-1e7, 1e7])\n",
"ax2.set_xlim([3.75e8, 3.95e8]) # line collections don't auto-scale the plot\n",
"\n",
"ax3.set_ylim([-2.1e8, 2.1e8])\n",
"ax3.set_xlim([-2e7, 4e8]) # line collections don't auto-scale the plot"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This time, the launch probably would actually work. Although the insertion into orbit around the moon is missed, the ship slingshots around the moon and back to Earth. The burns that would circularize the orbit around the moon are run at the wrong time, but they are so small compared to the Earth's gravity that the trajectory isn't influenced too much. All things considered, a change of 0.01% of the initial burn does not affect the orbit as much as I expected."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Calculations\n",
"These graphs helped calculate the parameters for the different burns during the launch."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x11570d860>"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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3qJltA5qJVu/h7s1mdjewNtS7y92bszVQkWx6u6kdM5hZXRF3V0RGzKiHkrv/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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x111687da0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(tpoints)\n",
"plt.xlabel('index')\n",
"plt.ylabel('time (s)')"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x113da3c50>"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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yCXC7Bx4DasxsbprxiGRMV1+C/R19ShA5bPmsCgC2NHVmOJJopZsgkg2tbwd+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\nTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x116000400>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"dpoints = np.sqrt(xpoints ** 2 + ypoints ** 2)\n",
"plt.plot(dpoints)\n",
"plt.ylabel('distance from Earth (m)')\n",
"plt.xlabel('time index')"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Hits atmosphere at time idx 5828\n"
]
}
],
"source": [
"print('Hits atmosphere at time idx {}'.format(5500 + np.where(dpoints[5500:] == np.min(dpoints[5500:]))[0][0]))"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Periapsis of moon orbit after 3 orbits: 653878.5938113758\n"
]
},
{
"data": {
"image/png": 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QHQPe/R8HoyFiTWkBZcX2VPMvpq68kN7RacclKqSiPP4DeEZEPiwiHwaexize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\ndh5JkiRJw2TnkSRJkjTM/wDnLss84fNVbwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1160ec860>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(xpoints[3300:5000])\n",
"plt.xlabel('time steps since first periapsis')\n",
"plt.ylabel('position relative to center of Earth (m)')\n",
"print('Periapsis of moon orbit after 3 orbits: {}'.format(tpoints[4550 + np.where(xpoints[4550:5050] == np.max(xpoints[4550:5050]))[0][0]])) "
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.0"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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