{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Rebound format test" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import rebound\n", "import mpcorbfile\n", "import numpy as np\n", "\n", "sim = rebound.Simulation()\n", "rebound.data.add_solar_system(sim)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "reading: 100%|\u001b[32m██████████\u001b[0m| 13.2k/13.2k [00:00<00:00, 132k bodies/s]\n" ] } ], "source": [ "# Cargar el archivo MPCORB.DAT\n", "archivo_mpcorb = \"MPCORB_TEST.DAT\"\n", "f = mpcorbfile.mpcorb_file(archivo_mpcorb)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'packed_designation': 'a7943',\n", " 'H': 24.19,\n", " 'G': 0.15,\n", " 'Epoch': datetime.datetime(2025, 5, 5, 0, 0),\n", " 'M': 184.7538,\n", " 'Peri': 195.63684,\n", " 'Node': 146.91033,\n", " 'i': 11.6102,\n", " 'e': 0.0894684,\n", " 'n': 1.13494811,\n", " 'a': 0.9102319,\n", " 'U': '2',\n", " 'Ref': 'E2024-JU2',\n", " 'Num_obs': 1055,\n", " 'Num_opps': 2,\n", " 'Arc_length': '2012-2013',\n", " 'rms': 0.36,\n", " 'Perturbers': 'M-v',\n", " 'Perturbers_2': '3Ek',\n", " 'Computer': 'Veres',\n", " 'Hex_flags': 2049,\n", " 'Number': '(367943)',\n", " 'Name': 'Duende',\n", " 'Last_obs': '20130221',\n", " 'epochJD': 2460800.5,\n", " 'designation': '367943',\n", " 'discover_date': nan,\n", " 'orbit_type': 'NEO;Athen'}" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "f.bodies[0]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## mpcorbfile has a convenient fn to add asteroids to as simulation" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# Only first 10 asteroids\n", "n = 10\n", "mpcorbfile.add_asteroids_to_rebound(sim, bodies=f.bodies[0:n])\n", "# All asteroids\n", "# f.add_asteroids_to_rebound(sim)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "---------------------------------\n", "REBOUND version: \t4.4.6\n", "REBOUND built on: \tDec 30 2024 23:43:16\n", "Number of particles: \t19\n", "Selected integrator: \tias15\n", "Simulation time: \t0.0000000000000000e+00\n", "Current timestep: \t0.001000\n", "---------------------------------\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "---------------------------------\n" ] } ], "source": [ "# sim.integrator='whfast'\n", "sim.status(showAllFields=False)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ] } ], "source": [ "for orbit in sim.orbits():\n", " print(orbit)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# sim.widget(size=(400,400))" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "3.125" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# tiempo estimado en horas para calcular una año\n", "# toda la base de datos con 32 cores\n", "(1500000 / (1000 / (4 * 60))) / 3600 / 32" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "---------------------------------\n", "REBOUND version: \t4.4.6\n", "REBOUND built on: \tDec 30 2024 23:43:16\n", "Number of particles: \t19\n", "Selected integrator: \twhfast\n", "Simulation time: \t-1.0000000000000000e-03\n", "Current timestep: \t-0.001000\n", "---------------------------------\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "---------------------------------\n" ] } ], "source": [ "s = sim\n", "sim.integrator = \"whfast\"\n", "%timeit\n", "sim.integrate(-0.001)\n", "%timeit\n", "sim.status(showAllFields=False)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ] } ], "source": [ "for orbit in sim.orbits():\n", " print(orbit)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rebound.OrbitPlot(\n", " sim,\n", " color=True,\n", ")" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from IPython.display import display, clear_output\n", "import matplotlib.pyplot as plt\n", "\n", "sim.move_to_com()\n", "for i in range(30):\n", " sim.integrate(sim.t + 0.1)\n", " fig = rebound.OrbitPlot(\n", " sim, color=True, unitlabel=\"[AU]\", xlim=[-2, 2.0], ylim=[-2, 2.0]\n", " ).fig\n", " display(fig)\n", " plt.close(fig)\n", " clear_output(wait=True)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sim.particles[\"Duende\"]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Create a new MPCORB file with propagate orbits" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Duende\n", "Ceres\n", "Pallas\n", "Juno\n", "Vesta\n", "Astraea\n", "Hebe\n", "Iris\n", "Flora\n", "Metis\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "writting: 100%|\u001b[34m██████████\u001b[0m| 10.0/10.0 [00:00<00:00, 45.4k bodies/s]\n" ] }, { "data": { "text/plain": [ "True" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# This only shows the general procedure. The data is not correct i.e. the epoch is not correct\n", "import datetime\n", "\n", "ff = mpcorbfile.mpcorb_file()\n", "for b in f.bodies[0:n]:\n", " print(b[\"Name\"])\n", " particle = sim.particles[b[\"Name\"]]\n", " orbit = particle.orbit()\n", " body = {\n", " \"packed_designation\": b[\"packed_designation\"],\n", " \"a\": orbit.a,\n", " \"e\": orbit.e,\n", " \"i\": np.degrees(orbit.inc),\n", " \"Peri\": np.degrees(orbit.omega),\n", " \"Node\": np.degrees(orbit.Omega),\n", " \"M\": np.degrees(orbit.M),\n", " \"Epoch\": datetime.datetime(2025, 5, 5, 0, 0),\n", " \"G\": np.nan,\n", " \"H\": np.nan,\n", " \"n\": orbit.f,\n", " \"U\": 0,\n", " \"Ref\": \"REBOUND\",\n", " \"Num_obs\": 0,\n", " \"Num_opps\": 0,\n", " \"Arc_length\": \"\",\n", " \"rms\": np.nan,\n", " \"Perturbers\": \"\",\n", " \"Perturbers_2\": \"\",\n", " \"Computer\": \"bernoulli\",\n", " \"Hex_flags\": 0x0,\n", " \"Number\": b[\"Number\"],\n", " \"Name\": b[\"Name\"],\n", " \"Last_obs\": \"\",\n", " }\n", " ff.add(body)\n", "ff.write(\"kk.DAT\", header=\" DATA FROM REBOUND SIMULATION \")" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "mpcorbfile-4k_20HRF-py3.12", "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": "3.12.3" } }, "nbformat": 4, "nbformat_minor": 2 }