1{
2 "cells": [
3  {
4   "cell_type": "markdown",
5   "metadata": {},
6   "source": [
7    "# Orbital parameters (osculating and modified equinoctial)\n",
8    "\n",
9    "In this example we show some simple and basic astrodynamics routines that help visualizing trajectories using\n",
10    "their osculating Keplerian parameters or their modified equinoctial elements. The osculating orbital parameters\n",
11    "\n",
12    "In particular, in Pykep, we use the following definitions and order for the equinoctial elements (p, f, g, h, k, L):\n",
13    "$$\n",
14    "\\begin{array}{l}\n",
15    "p = a (1-e^2) \\\\ \n",
16    "f = e \\cos(\\omega + \\Omega) \\\\\n",
17    "g = e \\sin(\\omega + \\Omega) \\\\\n",
18    "h = \\tan\\left(i / 2\\right)\\cos\\Omega \\\\\n",
19    "k = \\tan\\left(i / 2\\right)\\sin\\Omega \\\\\n",
20    "L = \\Omega + \\omega + \\nu\n",
21    "\\end{array}\n",
22    "$$\n",
23    "where $a,e,i,\\Omega,\\omega$ are the semi-major axis, the eccentricity, the inclination, the right ascension of the ascending node and the argument of perigee, and $\\nu$ is the true anomaly."
24   ]
25  },
26  {
27   "cell_type": "code",
28   "execution_count": 1,
29   "metadata": {},
30   "outputs": [],
31   "source": [
32    "import pykep as pk\n",
33    "from math import pi\n",
34    "\n",
35    "# Plotting imports\n",
36    "import matplotlib.pyplot as plt"
37   ]
38  },
39  {
40   "cell_type": "markdown",
41   "metadata": {},
42   "source": [
43    "Let us first generate some trajectory using a two-body propagator that uses an inertially fixed thrust.\n",
44    "This is just used as an example to obtain some coordinates to use. Also, note we make use of non dimensional\n",
45    "units so that the gravitational parameter $\\mu$ is set to be 1."
46   ]
47  },
48  {
49   "cell_type": "code",
50   "execution_count": 2,
51   "metadata": {},
52   "outputs": [],
53   "source": [
54    "r = [1, 0, 0]\n",
55    "v = [0.1, 1, 0.1]\n",
56    "m = 100\n",
57    "x = [1]; y = [0]; z=[0]\n",
58    "dx = [0.1]; dy = [1]; dz=[0.1]\n",
59    "for i in range(1500):\n",
60    "    # Here we are propagating a trajectory with an inertially fixed thrust\n",
61    "    thrust = [1,0.1,0.1]\n",
62    "    tof = pi/80\n",
63    "    r,v,m = pk.propagate_taylor(r,v,m,thrust,tof,1,1,-15,-15)\n",
64    "    x.append(r[0]); y.append(r[1]); z.append(r[2])\n",
65    "    dx.append(v[0]); dy.append(v[1]); dz.append(v[2])"
66   ]
67  },
68  {
69   "cell_type": "code",
70   "execution_count": 3,
71   "metadata": {},
72   "outputs": [
73    {
74     "data": {
75      "text/plain": [
76       "[<mpl_toolkits.mplot3d.art3d.Line3D at 0x7f2978640710>]"
77      ]
78     },
79     "execution_count": 3,
80     "metadata": {},
81     "output_type": "execute_result"
82    },
83    {
84     "data": {
85      "image/png": 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\n",
86      "text/plain": [
87       "<Figure size 576x432 with 1 Axes>"
88      ]
89     },
90     "metadata": {
91      "needs_background": "light"
92     },
93     "output_type": "display_data"
94    }
95   ],
96   "source": [
97    "# We plot the trajectory\n",
98    "fig = plt.figure(figsize = (8,6))\n",
99    "axis = fig.gca(projection='3d')\n",
100    "plt.plot(x,y,z)"
101   ]
102  },
103  {
104   "cell_type": "code",
105   "execution_count": 4,
106   "metadata": {},
107   "outputs": [
108    {
109     "data": {
110      "image/png": 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\n",
111      "text/plain": [
112       "<Figure size 1152x216 with 6 Axes>"
113      ]
114     },
115     "metadata": {
116      "needs_background": "light"
117     },
118     "output_type": "display_data"
119    }
120   ],
121   "source": [
122    "#We now want to visualize the change in the Keplerian osculating parameter along this trajectory. To do this\n",
123    "#we transform the cartesian representation of the whole trajectory into orbital parameters as follows:\n",
124    "fig = plt.figure(figsize = (16,3))\n",
125    "E = []\n",
126    "for i in range(1500):\n",
127    "    tmp = pk.ic2par(r = [x[i], y[i], z[i]], v = [dx[i], dy[i], dz[i]], mu = 1.0)\n",
128    "    E.append(tmp)\n",
129    "    labels = ['a', 'e', 'i', 'RAAN', 'w', 'EA']\n",
130    "for i in range(6):\n",
131    "    plt.subplot(1,6,i+1)\n",
132    "    plt.plot([el[i] for el in E])\n",
133    "    plt.xlabel(labels[i])"
134   ]
135  },
136  {
137   "cell_type": "code",
138   "execution_count": 5,
139   "metadata": {},
140   "outputs": [
141    {
142     "data": {
143      "image/png": 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\n",
144      "text/plain": [
145       "<Figure size 1152x216 with 6 Axes>"
146      ]
147     },
148     "metadata": {
149      "needs_background": "light"
150     },
151     "output_type": "display_data"
152    }
153   ],
154   "source": [
155    "# In some cases (not for this particular trajectory) the Keplerian osculating parameters are not defined and the above computations would produce\n",
156    "# nans and infs (for example for zero eccentricity or inclination). The set of modified equinoctial elements,\n",
157    "# instead is always defined and guaranteed to produce real values in all cases. \n",
158    "fig = plt.figure(figsize = (16,3))\n",
159    "EQ = []\n",
160    "for i in range(1500):\n",
161    "    tmp = pk.ic2eq(r = [x[i], y[i], z[i]], v = [dx[i], dy[i], dz[i]], mu = 1.0)\n",
162    "    EQ.append(tmp)\n",
163    "    labels = ['a(1-e^2)', 'h', 'k', 'p', 'q', 'L']\n",
164    "for i in range(6):\n",
165    "    plt.subplot(1,6,i+1)\n",
166    "    plt.plot([el[i] for el in EQ])\n",
167    "    plt.xlabel(labels[i])"
168   ]
169  }
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