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| { | |
| "cells": [ | |
| { | |
| "cell_type": "code", | |
| "execution_count": 1, | |
| "id": "add6c841-4433-4e4b-a547-b3a7d54e1f7b", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "import rebound\n", | |
| "import matplotlib.pyplot as plt\n", | |
| "import numpy as np" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 7, | |
| "id": "9a620a3a-2775-4cb4-a7d9-f87403a71dae", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "Searching NASA Horizons for 'Sun'... \n", | |
| "Found: Sun (10) \n", | |
| "Searching NASA Horizons for 'Jupiter'... \n", | |
| "Found: Jupiter Barycenter (5) (chosen from query 'Jupiter')\n", | |
| "Searching NASA Horizons for 'Saturn'... \n", | |
| "Found: Saturn Barycenter (6) (chosen from query 'Saturn')\n", | |
| "Searching NASA Horizons for 'Uranus'... \n", | |
| "Found: Uranus Barycenter (7) (chosen from query 'Uranus')\n", | |
| "Searching NASA Horizons for 'Neptune'... \n", | |
| "Found: Neptune Barycenter (8) (chosen from query 'Neptune')\n", | |
| "Searching NASA Horizons for 'Pluto'... \n", | |
| "Found: Pluto Barycenter (9) (chosen from query 'Pluto')\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "sim = rebound.Simulation()\n", | |
| "sim.add([\"Sun\",\"Jupiter\", \"Saturn\", \"Uranus\", \"Neptune\", \"Pluto\"])\n", | |
| "sim.dt = 40.0/365.25*np.pi*2 # 40 days\n", | |
| "sim.integrator = \"whfast\"\n", | |
| "sim.ri_whfast.safe_mode = 0\n", | |
| "sim.save_to_file(\"init.bin\")" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 9, | |
| "id": "913f78fc-71a6-4f44-a2f7-d1ccab0e756b", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "CPU times: user 969 ms, sys: 7.28 ms, total: 976 ms\n", | |
| "Wall time: 979 ms\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "%%time\n", | |
| "sim = rebound.Simulation(\"init.bin\")\n", | |
| "Noutputs = 21914 # as in the paper\n", | |
| "times = np.zeros(Noutputs)\n", | |
| "delta = np.zeros(Noutputs)\n", | |
| "a = np.zeros(Noutputs)\n", | |
| "e = np.zeros(Noutputs)\n", | |
| "for i in range(Noutputs):\n", | |
| " sim.integrate(-120e3*np.pi*2/Noutputs*i, exact_finish_time=0) \n", | |
| " times[i] = sim.t\n", | |
| " orbits = sim.orbits(primary=sim.particles[0]) # heliocentric as in the paper\n", | |
| " delta[i] = 3*orbits[4].l-2*orbits[3].l-orbits[4].pomega-np.pi\n", | |
| " a[i] = orbits[4].a\n", | |
| " e[i] = orbits[4].e" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 10, | |
| "id": "89f37246-a6cc-469c-9729-f8b1deea203a", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 640x480 with 3 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "fig, ax = plt.subplots(3,sharex=True)\n", | |
| "for _a in ax:\n", | |
| " _a.yaxis.set_label_position(\"right\")\n", | |
| " _a.yaxis.tick_right()\n", | |
| " _a.autoscale(enable=True, axis='x', tight=True)\n", | |
| "ax[0].scatter(times/(100*np.pi*2),(delta+np.pi)%(2*np.pi)/np.pi*180-180, s=1)\n", | |
| "ax[0].set_ylabel(\"$\\delta$\")\n", | |
| "ax[0].set_ylim([-90,90])\n", | |
| "ax[1].scatter(times/(100*np.pi*2),a, s=1)\n", | |
| "ax[1].set_ylabel(\"$a$\")\n", | |
| "ax[2].scatter(times/(100*np.pi*2),e, s=1)\n", | |
| "ax[2].set_ylabel(\"$e$\")\n", | |
| "ax[2].set_xlabel(\"Julian centuries after epoch\");" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "id": "d9907123-190e-4223-9623-29cbb114c73a", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [] | |
| } | |
| ], | |
| "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": "3.9.6" | |
| } | |
| }, | |
| "nbformat": 4, | |
| "nbformat_minor": 5 | |
| } |
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