{ "nbformat": 4, "nbformat_minor": 0, "metadata": { "colab": { "name": "Neptune_resonance_5:2.ipynb", "version": "0.3.2", "provenance": [], "collapsed_sections": [] }, "kernelspec": { "name": "python3", "display_name": "Python 3" } }, "cells": [ { "cell_type": "markdown", "metadata": { "id": "view-in-github", "colab_type": "text" }, "source": [ "[View in Colaboratory](https://colab.research.google.com/github/sharponlooker/nBody/blob/master/Neptune_resonance_5_2.ipynb)" ] }, { "metadata": { "id": "7wbOWvEWAYr-", "colab_type": "text" }, "cell_type": "markdown", "source": [ "An N-body simulation setup resembling section 3 in Malhotra et al. (https://arxiv.org/abs/1804.01209) using the REBOUND integrator (https://github.com/hannorein/rebound)\n", "\n", "
\n", "\n", "Some useful links to REBOUND samples & documentation\n", "\n", "[Test particles sample](http://rebound.readthedocs.io/en/latest/ipython/Testparticles.html)\n", "\n", "[Orbital parameters](http://rebound.readthedocs.io/en/latest/python_api.html#rebound.Orbit)\n" ] }, { "metadata": { "id": "oIiRaDp8Yh23", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 36 }, "outputId": "c6c8080e-ac51-4a67-af4d-583836175515" }, "cell_type": "code", "source": [ "# exclude this line on your local environment if you already have REBOUND installed\n", "!pip install rebound\n" ], "execution_count": 12, "outputs": [ { "output_type": "stream", "text": [ "Requirement already satisfied: rebound in /usr/local/lib/python3.6/dist-packages\r\n" ], "name": "stdout" } ] }, { "metadata": { "id": "hXnqmX1Kdv0W", "colab_type": "code", "colab": {} }, "cell_type": "code", "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import math\n", "import rebound\n" ], "execution_count": 0, "outputs": [] }, { "metadata": { "id": "98EaX9eiY4vq", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 111 }, "outputId": "3eedd500-ccc5-409b-b8c0-664a24af1c81" }, "cell_type": "code", "source": [ "sim = rebound.Simulation()\n", "sim.add(\"Sun\")\n", "sim.add(\"Jupiter\")\n", "sim.add(\"Saturn\")\n", "sim.add(\"Uranus\")\n", "sim.add(\"Neptune\")\n", "\n", "sim.move_to_com()\n", "sim.integrator = \"whfast\"\n", "sim.t = 0\n", "\n", "sim.collision_resolve = \"merge\"\n", "\n", "numberOfActiveParticles = 5 # sun & major planets\n", "\n", "aNeptune = sim.particles[4].a\n" ], "execution_count": 14, "outputs": [ { "output_type": "stream", "text": [ "Searching NASA Horizons for 'Sun'... Found: Sun (10).\n", "Searching NASA Horizons for 'Jupiter'... Found: Jupiter Barycenter (5).\n", "Searching NASA Horizons for 'Saturn'... Found: Saturn Barycenter (6).\n", "Searching NASA Horizons for 'Uranus'... Found: Uranus Barycenter (7).\n", "Searching NASA Horizons for 'Neptune'... Found: Neptune Barycenter (8).\n" ], "name": "stdout" } ] }, { "metadata": { "id": "MDYsyLzGUW2s", "colab_type": "text" }, "cell_type": "markdown", "source": [ "Main configurable parameters can be specified here" ] }, { "metadata": { "id": "agkvSZNubn0R", "colab_type": "code", "colab": {} }, "cell_type": "code", "source": [ "numberOfTestParticles = 400\n", "\n", "rayleighScale = 0.03\n", "\n", "integrationTime = 1e5\n", "\n", "sim.dt = 0.1" ], "execution_count": 0, "outputs": [] }, { "metadata": { "id": "L_fJ4BgXUji2", "colab_type": "text" }, "cell_type": "markdown", "source": [ "Particle setup according to paper's distributions: uniform for (a, e) in defined ranges, Rayleigh for *sin i*, uniform for orbital angles" ] }, { "metadata": { "id": "0woaoASmdnkz", "colab_type": "code", "colab": {} }, "cell_type": "code", "source": [ "a_initial = np.random.uniform(1.82 * aNeptune, 1.86 * aNeptune, numberOfTestParticles)\n", "e_initial = np.random.uniform(0, 1, numberOfTestParticles)\n", "\n", "i_initial = np.random.rayleigh(rayleighScale, numberOfTestParticles)\n", "i_initial /= np.max(i_initial); i_initial *= (np.pi / 2) / i_initial.max() # scale to 0-90 degrees\n", "\n", "M_initial = np.random.uniform(-(np.pi), np.pi, numberOfTestParticles)\n", "omega_initial = np.random.uniform(-(np.pi), np.pi, numberOfTestParticles)\n", "Omega_initial = np.random.uniform(-(np.pi), np.pi, numberOfTestParticles)\n", "\n", "\n", "for (a, e, i, M, omega, Omega) in zip(a_initial, e_initial, i_initial, M_initial, omega_initial, Omega_initial):\n", " sim.add(\n", " a = a,\n", " e = e,\n", " inc = i,\n", " M = M, # mean anomaly\n", " omega = omega, # argument of pericenter\n", " Omega = Omega # longitude of ascending node\n", " )\n", " \n", "sim.N_active = numberOfActiveParticles\n", "\n", "initialXs = np.array(list(map(lambda x: x.x, sim.particles[5:])))\n", "initialYs = np.array(list(map(lambda x: x.y, sim.particles[5:])))\n", "initialZs = np.array(list(map(lambda x: x.z, sim.particles[5:])))" ], "execution_count": 0, "outputs": [] }, { "metadata": { "id": "3Gu9QljnUtlu", "colab_type": "text" }, "cell_type": "markdown", "source": [ "A quick glance at the initial orbital parameter distributions to verify they are properly setup" ] }, { "metadata": { "id": "rysEUj7ORo20", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 388 }, "outputId": "f840b2f3-5c6f-4a4f-ded0-f0d87016bab7" }, "cell_type": "code", "source": [ "plt.figure(figsize=(18, 6))\n", "plt.tight_layout()\n", "\n", "plt.subplot(1, 5, 1); plt.xlabel(\"a\"); plt.ylabel(\"#\")\n", "plt.hist(a_initial);\n", "\n", "plt.subplot(1, 5, 2); plt.xlabel(\"a\"); plt.ylabel(\"e\")\n", "plt.scatter(a_initial, e_initial);\n", "\n", "plt.subplot(1, 5, 4); plt.xlabel(\"e\"); plt.ylabel(\"#\")\n", "plt.hist(e_initial);\n", "\n", "plt.subplot(1, 5, 3); plt.xlabel(\"a\"); plt.ylabel(\"i\")\n", "plt.scatter(a_initial, list(map(lambda x: math.degrees(x), i_initial)));\n", "\n", "plt.subplot(1, 5, 5); plt.xlabel(\"i\"); plt.ylabel(\"#\")\n", "plt.hist(list(map(lambda x: math.degrees(x), i_initial)));\n" ], "execution_count": 17, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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DKC3DV7vsw15mwfpVdbAUmlBsKRR9jNaBdDJB2+UxjN8uVNDe2Qffisu7UAhJjY/bz8Xs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\n/vprXeONdq3JkycLFy5cEARBEB555BFh5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"text/plain": [ "" ] }, "metadata": { "tags": [] } } ] }, { "metadata": { "id": "S3tTa13EV12A", "colab_type": "text" }, "cell_type": "markdown", "source": [ "Now let the simulation run, this will take time, you may want to grab a coffee or something. Note: currently ignoring intermediate results, only looking at the final state of the simulation" ] }, { "metadata": { "id": "RvPepqlZbPYH", "colab_type": "code", "colab": {} }, "cell_type": "code", "source": [ "outputPoints = int(integrationTime / 1000)\n", "\n", "times = np.linspace(0., integrationTime, outputPoints)\n", "\n", "for i, time in enumerate(times):\n", " sim.integrate(time)\n" ], "execution_count": 0, "outputs": [] }, { "metadata": { "id": "nHNamnyIpzwq", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 338 }, "outputId": "78d663ff-a395-4f21-aa99-067a0cb6593e" }, "cell_type": "code", "source": [ "a_final = np.array(list(map(lambda x: x.a / aNeptune, sim.particles[5:])))\n", "e_final = np.array(list(map(lambda x: x.e, sim.particles[5:])))\n", "i_final = np.array(list(map(lambda x: math.degrees(x.inc), sim.particles[5:])))\n", "\n", "plt.figure(figsize=(15, 5))\n", "plt.tight_layout()\n", "\n", "plt.subplot(1, 4, 1); plt.xlabel(\"a / aN\"); plt.ylabel(\"#\")\n", "plt.hist(a_final, bins=np.arange(1.80, 1.89, 0.01));\n", "plt.xlim(1.80, 1.88);\n", "\n", "plt.subplot(1, 4, 2); plt.xlabel(\"a / aN\"); plt.ylabel(\"e\")\n", "plt.scatter(a_final, e_final);\n", "plt.xlim(1.80, 1.88)\n", "plt.ylim(0, 1)\n", "\n", "plt.subplot(1, 4, 3); plt.xlabel(\"e\"); plt.ylabel(\"#\")\n", "plt.hist(e_final, bins=np.arange(0, 1.1, 0.1));\n", "plt.xlim(0, 1)\n", "\n", "plt.subplot(1, 4, 4); plt.xlabel(\"i\"); plt.ylabel(\"#\")\n", "plt.hist(i_final);\n" ], "execution_count": 19, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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A2XFERETJw2COiIYFj9eLtw81BfZtiY2WlRNgyJmbFyqe3Tql9s2FduCU6g6p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\nK6kkcWB8pOiMl6dzuu7BS4jVQKtR+dRrT2y2zdeZQSIiIgoeQZ3M3f/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"text/plain": [ "" ] }, "metadata": { "tags": [] } } ] }, { "metadata": { "id": "brW95rX4WlLK", "colab_type": "text" }, "cell_type": "markdown", "source": [ "Snapshots of the system before and after the simulation (top view and edge view)" ] }, { "metadata": { "id": "LjatwAMEjmbZ", "colab_type": "code", "colab": {} }, "cell_type": "code", "source": [ "def orbitMap(xs, ys, zs):\n", " a = 100 # AU\n", " \n", " plt.figure(figsize=(15, 7))\n", " plt.tight_layout()\n", "\n", " plt.subplot(1, 2, 1); plt.xlabel(\"x\"); plt.ylabel(\"y\")\n", " plt.scatter(xs, ys);\n", " plt.xlim(-a, a)\n", " plt.ylim(-a, a)\n", "\n", " plt.subplot(1, 2, 2); plt.xlabel(\"x\"); plt.ylabel(\"z\")\n", " plt.scatter(xs, zs);\n", " plt.xlim(-a, a)\n", " plt.ylim(-a, a);" ], "execution_count": 0, "outputs": [] }, { "metadata": { "id": "M0l_Cn28YKJT", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 446 }, "outputId": "85b5de79-c75c-4218-bf00-6c22fba38645" }, "cell_type": "code", "source": [ "orbitMap(initialXs, initialYs, initialZs)" ], "execution_count": 21, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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yon/mbwPpjGu/3a1dZq05SjTE0NmR0DweK4jdZAl2POEc1tXV4bvf/e6sv3//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kSHWYg8EyeFiJVAzZ55dTrNl5BCwMrnTCmIlQDwyOZmxWOZFQTLtwCT3evic8Xp40thhXDNfpbq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\n", "text/plain": [ "" ] }, "metadata": { "tags": [] } } ] }, { "metadata": { "id": "AOLzwjlzYDqd", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 446 }, "outputId": "6c0fe878-5016-42fc-d386-210bae8a6eb7" }, "cell_type": "code", "source": [ "xs = np.array(list(map(lambda x: x.x, sim.particles[5:])))\n", "ys = np.array(list(map(lambda x: x.y, sim.particles[5:])))\n", "zs = np.array(list(map(lambda x: x.z, sim.particles[5:])))\n", "\n", "orbitMap(xs, ys, zs)\n" ], "execution_count": 22, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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F+RbdB45exEQ0IbnoFiqZrSejkbjg/sZYIoU9r17A5//0j0SPYVSUaCKexJ5X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\nQgghhBBCCCEA/n980p4YBYnz8gAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": { "tags": [] } } ] }, { "metadata": { "id": "Kobqr7dcZ-nD", "colab_type": "code", "colab": {} }, "cell_type": "code", "source": [ "#rebound.OrbitPlot(sim, lim=70, slices=True, unitlabel=\"[AU]\", color=False, periastron=False);\n" ], "execution_count": 0, "outputs": [] } ] }