2022-11-19 22:41:30 +00:00
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{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {},
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"outputs": [],
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"source": [
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"%matplotlib widget\n",
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"import matplotlib.pyplot as plt\n",
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"import numpy as np\n",
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"\n",
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"a = 3 # Semi major axis (AU)\n",
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"r_1 = 1 # Planet 1 initial orbit radius (AU)\n",
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"M_1 = 3 # Star 1 mass (Solar masses)\n",
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"M_2 = 2 # Star 2 mass (Solar masses)\n",
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"\n",
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"r_2 = a - r_1\n",
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"T = np.sqrt(a ** 3 / (M_1 + M_2))\n",
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"v_1 = 2 * np.pi * r_1 / T\n",
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"v_2 = 2 * np.pi * (a - r_1) / T"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {},
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"outputs": [],
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"source": [
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"t = np.linspace(0, T, 10000)\n",
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"theta = 2 * np.pi * t / T\n",
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"x_1, y_1 = -r_1 * np.sin(theta), -r_1 * np.cos(theta)\n",
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"x_2, y_2 = -r_2 * np.sin(theta), -r_2 * np.cos(theta)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"application/vnd.jupyter.widget-view+json": {
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2023-02-08 20:35:41 +00:00
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"model_id": "407c30b67cad4a12a48103840009b82d",
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2022-11-19 22:41:30 +00:00
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"version_major": 2,
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"version_minor": 0
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},
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"\n",
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" <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
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" Figure\n",
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" </div>\n",
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" </div>\n",
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" "
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],
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"text/plain": [
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"Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
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]
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},
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"metadata": {},
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"output_type": "display_data"
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}
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],
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"source": [
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"plt.ion()\n",
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"fig = plt.figure()\n",
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"\n",
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"ax = fig.add_subplot()\n",
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"ax.plot(x_1, y_1)\n",
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"ax.plot(x_2, y_2)\n",
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"ax.set_xlabel(\"x / AU\")\n",
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"ax.set_ylabel(\"y / AU\")\n",
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"\n",
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"plt.grid()\n",
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"plt.show()"
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]
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}
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],
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"metadata": {
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"kernelspec": {
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"display_name": "Python 3.9.2 64-bit",
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"language": "python",
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"name": "python3"
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},
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"language_info": {
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"codemirror_mode": {
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"name": "ipython",
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"version": 3
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},
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"file_extension": ".py",
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"mimetype": "text/x-python",
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"pygments_lexer": "ipython3",
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2023-02-08 20:35:41 +00:00
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|
|
"version": "3.9.2"
|
2022-11-19 22:41:30 +00:00
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|
|
},
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"orig_nbformat": 4,
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|
|
|
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"vscode": {
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|
|
|
|
"interpreter": {
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"hash": "31f2aee4e71d21fbe5cf8b01ff0e069b9275f58929596ceb00d14d90e3e16cd6"
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|
|
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|
}
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|
|
|
|
}
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|
|
|
|
},
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|
|
|
|
"nbformat": 4,
|
|
|
|
|
"nbformat_minor": 2
|
|
|
|
|
}
|
