Created
March 3, 2026 22:57
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| { | |
| "cells": [ | |
| { | |
| "cell_type": "code", | |
| "execution_count": 28, | |
| "id": "cc8bdd22-e919-4538-9cdf-e81c34601b80", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "import rebound\n", | |
| "import numpy as np\n", | |
| "import matplotlib.pyplot as plt\n", | |
| "sim = rebound.Simulation()\n", | |
| "sim.testparticle_type =1\n", | |
| "# Adding some particles\n", | |
| "sim.add(m=1)\n", | |
| "sim.add(m=1e-3, a=1)\n", | |
| "sim.add(m=1e-3, a=2)\n", | |
| "sim.N_active = sim.N\n", | |
| "# Add disk particles\n", | |
| "for i in range(100):\n", | |
| " sim.add(m=1e-6,a=3.0+i/10,f=\"uniform\")\n", | |
| "# setup remainder of simulation\n", | |
| "sim.integrator = \"whfast\"\n", | |
| "sim.dt = sim.particles[1].P/21.234\n", | |
| "sim.move_to_com()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 36, | |
| "id": "584c4b22-ad03-41da-978b-dd6a563b676f", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/html": [ | |
| "\n", | |
| " <iframe\n", | |
| " width=\"500\"\n", | |
| " height=\"500\"\n", | |
| " src=\"http://localhost:1234\"\n", | |
| " frameborder=\"0\"\n", | |
| " allowfullscreen\n", | |
| " \n", | |
| " ></iframe>\n", | |
| " " | |
| ], | |
| "text/plain": [ | |
| "<IPython.lib.display.IFrame at 0x12261a280>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "<rebound.plotting.OrbitPlot at 0x122c234f0>" | |
| ] | |
| }, | |
| "execution_count": 36, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 500x500 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "# Let's see what we have done:\n", | |
| "sim.widget() \n", | |
| "# or use \n", | |
| "rebound.OrbitPlot(sim)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 30, | |
| "id": "6a9366f7-7a31-4bfc-8cbf-ec422bce4a80", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "# let's add a set of first order variational equations\n", | |
| "var = sim.add_variation()\n", | |
| "# initialize it (which coordinate you choose should not matter in a chaotic system)\n", | |
| "var.particles[1].x = 1" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 31, | |
| "id": "66df57f4-1dee-475a-8f62-3f0bb42308ec", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "# integrate simulation and keep track of how fast perturbations grow\n", | |
| "times = np.linspace(0,1000,500)\n", | |
| "ds = np.zeros(len(times))\n", | |
| "for i, t in enumerate(times):\n", | |
| " sim.integrate(t)\n", | |
| " ds[i] = np.linalg.norm(var.particles[1].xyz)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 32, | |
| "id": "cdb8523e-7917-4ca6-bd7d-c18cb28d60c4", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "[<matplotlib.lines.Line2D at 0x1225c07c0>]" | |
| ] | |
| }, | |
| "execution_count": 32, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 640x480 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "# lets plot the results\n", | |
| "# growth would be exponential if chaotic\n", | |
| "# here, growth is linear, so not chaotic. \n", | |
| "# You can still use the slope to determine how fast perturbations are growing\n", | |
| "fig, ax = plt.subplots(1)\n", | |
| "ax.plot(times, ds)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 34, | |
| "id": "85bff599-3ad2-4ac5-a893-5801050a40c0", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "# If you integrate for a long time, you might see a sudden drop. \n", | |
| "# This is because the variational equations get rescaled if they \n", | |
| "# become too large and the finite floating point range becomes an issue. \n", | |
| "# See https://rebound.hanno-rein.de/ipython_examples/VariationalEquations/ \n", | |
| "# on how to take this into account." | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "id": "66c84c41-3b32-4d39-af39-98309430fc59", | |
| "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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