{ "cells": [ { "cell_type": "markdown", "id": "7fb27b941602401d91542211134fc71a", "metadata": { "papermill": { "duration": 0.004057, "end_time": "2026-06-30T01:16:18.626821+00:00", "exception": false, "start_time": "2026-06-30T01:16:18.622764+00:00", "status": "completed" }, "tags": [] }, "source": [ "# Multiple Orbits\n", "\n", "galpy's `Orbit` class natively handles multiple orbits at once,\n", "enabling efficient parallel integration and vectorized access to\n", "orbital quantities.\n", "\n", "For basic orbit initialization, see [Orbit Initialization](initialization.ipynb)." ] }, { "cell_type": "code", "execution_count": 1, "id": "acae54e37e7d407bbb7b55eff062a284", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:16:18.634194Z", "iopub.status.busy": "2026-06-30T01:16:18.633947Z", "iopub.status.idle": "2026-06-30T01:16:20.970165Z", "shell.execute_reply": "2026-06-30T01:16:20.969267Z" }, "papermill": { "duration": 2.340995, "end_time": "2026-06-30T01:16:20.971100+00:00", "exception": false, "start_time": "2026-06-30T01:16:18.630105+00:00", "status": "completed" }, "tags": [] }, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy\n", "from astropy import units\n", "from astropy.coordinates import SkyCoord\n", "from galpy.orbit import Orbit\n", "from galpy.potential import MWPotential2014\n", "import warnings\n", "\n", "warnings.filterwarnings(\"ignore\", category=RuntimeWarning)\n", "warnings.filterwarnings(\"ignore\", category=UserWarning)" ] }, { "cell_type": "markdown", "id": "9a63283cbaf04dbcab1f6479b197f3a8", "metadata": { "papermill": { "duration": 0.002553, "end_time": "2026-06-30T01:16:20.976601+00:00", "exception": false, "start_time": "2026-06-30T01:16:20.974048+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Array initialization\n", "\n", "Pass a 2D array of shape `(N, dim)` to create N orbits at once." ] }, { "cell_type": "code", "execution_count": 2, "id": "8dd0d8092fe74a7c96281538738b07e2", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:16:20.983333Z", "iopub.status.busy": "2026-06-30T01:16:20.982913Z", "iopub.status.idle": "2026-06-30T01:16:20.989021Z", "shell.execute_reply": "2026-06-30T01:16:20.987801Z" }, "papermill": { "duration": 0.010481, "end_time": "2026-06-30T01:16:20.989796+00:00", "exception": false, "start_time": "2026-06-30T01:16:20.979315+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of orbits: 10\n", "Shape: (10,)\n", "R values: [0.94981605 1.18028572 1.09279758 1.03946339 0.86240746 0.86239781\n", " 0.82323344 1.14647046 1.040446 1.08322903]\n" ] } ], "source": [ "numpy.random.seed(42)\n", "N = 10\n", "vxvvs = numpy.column_stack(\n", " [\n", " numpy.random.uniform(0.8, 1.2, N), # R\n", " numpy.random.normal(0.0, 0.05, N), # vR\n", " numpy.random.uniform(0.9, 1.1, N), # vT\n", " numpy.random.normal(0.0, 0.05, N), # z\n", " numpy.random.normal(0.0, 0.05, N), # vz\n", " numpy.random.uniform(0.0, 2 * numpy.pi, N), # phi\n", " ]\n", ")\n", "os = Orbit(vxvvs)\n", "print(\"Number of orbits:\", os.size)\n", "print(\"Shape:\", os.shape)\n", "print(\"R values:\", os.R())" ] }, { "cell_type": "markdown", "id": "da74149c", "metadata": { "papermill": { "duration": 0.0026, "end_time": "2026-06-30T01:16:20.995447+00:00", "exception": false, "start_time": "2026-06-30T01:16:20.992847+00:00", "status": "completed" }, "tags": [] }, "source": [ "Orbits can have arbitrary shapes that are preserved for all outputs. For example, to create a 2D grid of orbits, we can do:" ] }, { "cell_type": "code", "execution_count": 3, "id": "b3ab5455", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:16:21.002014Z", "iopub.status.busy": "2026-06-30T01:16:21.001794Z", "iopub.status.idle": "2026-06-30T01:16:21.007630Z", "shell.execute_reply": "2026-06-30T01:16:21.006676Z" }, "papermill": { "duration": 0.01044, "end_time": "2026-06-30T01:16:21.008640+00:00", "exception": false, "start_time": "2026-06-30T01:16:20.998200+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of orbits: 50\n", "Shape: (10, 5)\n", "R values: [[0.94981605 1.18028572 1.09279758 1.03946339 0.86240746]\n", " [0.86239781 0.82323344 1.14647046 1.040446 1.08322903]\n", " [0.8082338 1.18796394 1.13297706 0.88493564 0.87272999]\n", " [0.8733618 0.9216969 1.00990257 0.97277801 0.91649166]\n", " [1.04474116 0.85579754 0.91685786 0.94654474 0.98242799]\n", " [1.11407038 0.87986951 1.00569378 1.03696583 0.81858017]\n", " [1.04301794 0.86820965 0.82602064 1.17955421 1.18625281]\n", " [1.12335894 0.92184551 0.83906885 1.07369321 0.976061 ]\n", " [0.84881529 0.99807076 0.81375541 1.16372816 0.90351199]\n", " [1.06500891 0.92468443 1.00802721 1.01868411 0.87394178]]\n" ] } ], "source": [ "numpy.random.seed(42)\n", "N, M = 10, 5\n", "vxvvs_2d = numpy.stack(\n", " [\n", " numpy.random.uniform(0.8, 1.2, size=(N, M)), # R\n", " numpy.random.normal(0.0, 0.05, size=(N, M)), # vR\n", " numpy.random.uniform(0.9, 1.1, size=(N, M)), # vT\n", " numpy.random.normal(0.0, 0.05, size=(N, M)), # z\n", " numpy.random.normal(0.0, 0.05, size=(N, M)), # vz\n", " numpy.random.uniform(0.0, 2 * numpy.pi, size=(N, M)), # phi\n", " ],\n", " axis=-1,\n", ")\n", "os = Orbit(vxvvs_2d)\n", "print(\"Number of orbits:\", os.size)\n", "print(\"Shape:\", os.shape)\n", "print(\"R values:\", os.R())" ] }, { "cell_type": "markdown", "id": "72eea5119410473aa328ad9291626812", "metadata": { "papermill": { "duration": 0.002673, "end_time": "2026-06-30T01:16:21.017503+00:00", "exception": false, "start_time": "2026-06-30T01:16:21.014830+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Initialization from SkyCoord arrays\n", "\n", "You can pass a `SkyCoord` containing multiple objects." ] }, { "cell_type": "code", "execution_count": 4, "id": "8edb47106e1a46a883d545849b8ab81b", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:16:21.024039Z", "iopub.status.busy": "2026-06-30T01:16:21.023822Z", "iopub.status.idle": "2026-06-30T01:16:21.041243Z", "shell.execute_reply": "2026-06-30T01:16:21.040244Z" }, "papermill": { "duration": 0.021729, "end_time": "2026-06-30T01:16:21.042042+00:00", "exception": false, "start_time": "2026-06-30T01:16:21.020313+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "galpyWarning: Supplied SkyCoord does not contain (galcen_distance, z_sun, galcen_v_sun) and these were not explicitly set in the Orbit initialization using the keywords (ro, zo, vo, solarmotion); these are required for Orbit initialization; proceeding with default values\n", "Number of orbits: 3\n", "RA values: [ 20. 50. 100.]\n" ] } ], "source": [ "sc = SkyCoord(\n", " ra=[20.0, 50.0, 100.0] * units.deg,\n", " dec=[30.0, -10.0, 45.0] * units.deg,\n", " distance=[1.5, 3.0, 0.8] * units.kpc,\n", " pm_ra_cosdec=[3.5, -1.0, 2.0] * units.mas / units.yr,\n", " pm_dec=[-1.2, 0.5, -0.3] * units.mas / units.yr,\n", " radial_velocity=[15.0, -30.0, 50.0] * units.km / units.s,\n", ")\n", "os_sc = Orbit(sc)\n", "print(\"Number of orbits:\", os_sc.size)\n", "print(\"RA values:\", os_sc.ra())" ] }, { "cell_type": "markdown", "id": "10185d26023b46108eb7d9f57d49d2b3", "metadata": { "papermill": { "duration": 0.00267, "end_time": "2026-06-30T01:16:21.047688+00:00", "exception": false, "start_time": "2026-06-30T01:16:21.045018+00:00", "status": "completed" }, "tags": [] }, "source": [ "## List initialization\n", "\n", "A list of phase-space arrays also works." ] }, { "cell_type": "code", "execution_count": 5, "id": "8763a12b2bbd4a93a75aff182afb95dc", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:16:21.054174Z", "iopub.status.busy": "2026-06-30T01:16:21.053969Z", "iopub.status.idle": "2026-06-30T01:16:21.058337Z", "shell.execute_reply": "2026-06-30T01:16:21.057522Z" }, "papermill": { "duration": 0.008799, "end_time": "2026-06-30T01:16:21.059259+00:00", "exception": false, "start_time": "2026-06-30T01:16:21.050460+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Size: 2\n", "R: [1. 0.9]\n" ] } ], "source": [ "os_list = Orbit(\n", " [\n", " [1.0, 0.1, 1.0, 0.0, 0.05, 0.0],\n", " [0.9, -0.05, 1.1, 0.02, -0.03, 1.0],\n", " ]\n", ")\n", "print(\"Size:\", os_list.size)\n", "print(\"R:\", os_list.R())" ] }, { "cell_type": "markdown", "id": "d07f0d98", "metadata": { "papermill": { "duration": 0.002831, "end_time": "2026-06-30T01:16:21.065308+00:00", "exception": false, "start_time": "2026-06-30T01:16:21.062477+00:00", "status": "completed" }, "tags": [] }, "source": [ "or a list or Orbit instances, e.g.:" ] }, { "cell_type": "code", "execution_count": 6, "id": "ef2326f4", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:16:21.072454Z", "iopub.status.busy": "2026-06-30T01:16:21.072208Z", "iopub.status.idle": "2026-06-30T01:16:21.076897Z", "shell.execute_reply": "2026-06-30T01:16:21.075919Z" }, "papermill": { "duration": 0.009396, "end_time": "2026-06-30T01:16:21.077604+00:00", "exception": false, "start_time": "2026-06-30T01:16:21.068208+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Size: 2\n", "R: [1. 0.9]\n" ] } ], "source": [ "os_list = Orbit(\n", " [\n", " Orbit([1.0, 0.1, 1.0, 0.0, 0.05, 0.0]),\n", " Orbit([0.9, -0.05, 1.1, 0.02, -0.03, 1.0]),\n", " ]\n", ")\n", "print(\"Size:\", os_list.size)\n", "print(\"R:\", os_list.R())" ] }, { "cell_type": "markdown", "id": "7623eae2785240b9bd12b16a66d81610", "metadata": { "papermill": { "duration": 0.002896, "end_time": "2026-06-30T01:16:21.083680+00:00", "exception": false, "start_time": "2026-06-30T01:16:21.080784+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Shape, len, size, and reshape\n", "\n", "Multi-orbit objects behave like arrays." ] }, { "cell_type": "code", "execution_count": 7, "id": "7cdc8c89c7104fffa095e18ddfef8986", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:16:21.090821Z", "iopub.status.busy": "2026-06-30T01:16:21.090606Z", "iopub.status.idle": "2026-06-30T01:16:21.094872Z", "shell.execute_reply": "2026-06-30T01:16:21.094095Z" }, "papermill": { "duration": 0.00902, "end_time": "2026-06-30T01:16:21.095836+00:00", "exception": false, "start_time": "2026-06-30T01:16:21.086816+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "len: 10\n", "size: 10\n", "shape: (10,)\n", "Reshaped shape: (2, 5)\n", "Reshaped len: 2\n" ] } ], "source": [ "os_many = Orbit(vxvvs)\n", "print(\"len:\", len(os_many))\n", "print(\"size:\", os_many.size)\n", "print(\"shape:\", os_many.shape)\n", "\n", "# Reshape to (2, 5) -- reshape is done in-place\n", "os_many.reshape((2, 5))\n", "print(\"Reshaped shape:\", os_many.shape)\n", "print(\"Reshaped len:\", len(os_many))" ] }, { "cell_type": "markdown", "id": "b118ea5561624da68c537baed56e602f", "metadata": { "papermill": { "duration": 0.002888, "end_time": "2026-06-30T01:16:21.101799+00:00", "exception": false, "start_time": "2026-06-30T01:16:21.098911+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Slicing and indexing\n", "\n", "Indexing and slicing returns a new `Orbit` object." ] }, { "cell_type": "code", "execution_count": 8, "id": "938c804e27f84196a10c8828c723f798", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:16:21.109056Z", "iopub.status.busy": "2026-06-30T01:16:21.108836Z", "iopub.status.idle": "2026-06-30T01:16:21.113812Z", "shell.execute_reply": "2026-06-30T01:16:21.112912Z" }, "papermill": { "duration": 0.009552, "end_time": "2026-06-30T01:16:21.114401+00:00", "exception": false, "start_time": "2026-06-30T01:16:21.104849+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Single orbit: \n", "Size: 1\n", "Slice size: 3\n", "2D indexed orbit R: 1.146470458309974\n" ] } ], "source": [ "# Single orbit (from the flat os object)\n", "os_flat = Orbit(vxvvs)\n", "o_single = os_flat[3]\n", "print(\"Single orbit:\", o_single)\n", "print(\"Size:\", o_single.size)\n", "\n", "# Slice\n", "o_slice = os_flat[2:5]\n", "print(\"Slice size:\", o_slice.size)\n", "\n", "# 2D indexing on reshaped\n", "o_2d = os_many[1, 2]\n", "print(\"2D indexed orbit R:\", o_2d.R())" ] }, { "cell_type": "markdown", "id": "504fb2a444614c0babb325280ed9130a", "metadata": { "papermill": { "duration": 0.002937, "end_time": "2026-06-30T01:16:21.120677+00:00", "exception": false, "start_time": "2026-06-30T01:16:21.117740+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Output shapes are preserved\n", "\n", "When you access quantities from a multi-orbit object, the output\n", "has the same shape as the orbit array." ] }, { "cell_type": "code", "execution_count": 9, "id": "59bbdb311c014d738909a11f9e486628", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:16:21.127949Z", "iopub.status.busy": "2026-06-30T01:16:21.127710Z", "iopub.status.idle": "2026-06-30T01:16:21.131483Z", "shell.execute_reply": "2026-06-30T01:16:21.130676Z" }, "papermill": { "duration": 0.008381, "end_time": "2026-06-30T01:16:21.132123+00:00", "exception": false, "start_time": "2026-06-30T01:16:21.123742+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "R shape (flat): (10,)\n", "R shape (reshaped): (2, 5)\n" ] } ], "source": [ "print(\"R shape (flat):\", os_flat.R().shape)\n", "print(\"R shape (reshaped):\", os_many.R().shape)" ] }, { "cell_type": "markdown", "id": "b43b363d81ae4b689946ece5c682cd59", "metadata": { "papermill": { "duration": 0.002873, "end_time": "2026-06-30T01:16:21.138357+00:00", "exception": false, "start_time": "2026-06-30T01:16:21.135484+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Array-valued Solar parameters\n", "\n", "You can pass arrays for `ro`, `zo`, and `vo`, as well as an array-valued\n", "`solarmotion`, when initializing multiple orbits from observed coordinates.\n", "This is useful when propagating uncertainty in Solar parameters across many\n", "orbit realizations.\n", "\n", "The scalar-parameter arrays should have the same shape as the orbit array.\n", "For a one-dimensional orbit array of length `N`, `solarmotion` should have\n", "shape `(3, N)`." ] }, { "cell_type": "code", "execution_count": 10, "id": "8a65eabff63a45729fe45fb5ade58bdc", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:16:21.145619Z", "iopub.status.busy": "2026-06-30T01:16:21.145402Z", "iopub.status.idle": "2026-06-30T01:16:21.151060Z", "shell.execute_reply": "2026-06-30T01:16:21.150270Z" }, "papermill": { "duration": 0.010375, "end_time": "2026-06-30T01:16:21.151815+00:00", "exception": false, "start_time": "2026-06-30T01:16:21.141440+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "R (physical): [6.39801729 6.5965276 6.79471746]\n", "z (physical): [1.01194971 1.01667146 1.02418402]\n", "vR (physical): [37.01873757 38.08904318 39.07811118]\n" ] } ], "source": [ "lb_data = numpy.tile([20.0, 30.0, 2.0, -10.0, 20.0, 50.0], (3, 1))\n", "solarmotion = numpy.array(\n", " [\n", " [10.0, 11.0, 12.0],\n", " [11.0, 12.0, 13.0],\n", " [7.0, 7.5, 8.0],\n", " ]\n", ")\n", "os_phys = Orbit(\n", " lb_data,\n", " lb=True,\n", " ro=numpy.array([8.0, 8.2, 8.4]),\n", " zo=numpy.array([0.015, 0.0208, 0.03]),\n", " vo=numpy.array([220.0, 225.0, 230.0]),\n", " solarmotion=solarmotion,\n", ")\n", "print(\"R (physical):\", os_phys.R())\n", "print(\"z (physical):\", os_phys.z())\n", "print(\"vR (physical):\", os_phys.vR())" ] }, { "cell_type": "markdown", "id": "fea9fd27", "metadata": { "papermill": { "duration": 0.003007, "end_time": "2026-06-30T01:16:21.158093+00:00", "exception": false, "start_time": "2026-06-30T01:16:21.155086+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Integrating and plotting multiple orbits" ] }, { "cell_type": "markdown", "id": "beb35d23", "metadata": { "papermill": { "duration": 0.003044, "end_time": "2026-06-30T01:16:21.164276+00:00", "exception": false, "start_time": "2026-06-30T01:16:21.161232+00:00", "status": "completed" }, "tags": [] }, "source": [ "When integrating multiple orbits, output array have an additional `T` dimension with `T` the number of time steps. This allows you to easily access the integrated trajectories of all orbits.\n", "\n", "When plotting multiple orbits, each orbit is plotted with a different color by default." ] }, { "cell_type": "code", "execution_count": 11, "id": "cd2a9ddf", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:16:21.171592Z", "iopub.status.busy": "2026-06-30T01:16:21.171372Z", "iopub.status.idle": "2026-06-30T01:16:21.519696Z", "shell.execute_reply": "2026-06-30T01:16:21.518754Z" }, "papermill": { "duration": 0.3533, "end_time": "2026-06-30T01:16:21.520688+00:00", "exception": false, "start_time": "2026-06-30T01:16:21.167388+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Integrated shape: (10, 1001)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from matplotlib import pyplot as plt\n", "\n", "# Integrate all 10 orbits and plot them\n", "os_plot = Orbit(vxvvs)\n", "ts = numpy.linspace(0.0, 10.0, 1001)\n", "os_plot.integrate(ts, MWPotential2014)\n", "print(\"Integrated shape:\", os_plot.R(ts).shape)\n", "os_plot.plot();" ] }, { "cell_type": "markdown", "id": "d3ef711b", "metadata": { "papermill": { "duration": 0.003703, "end_time": "2026-06-30T01:16:21.529176+00:00", "exception": false, "start_time": "2026-06-30T01:16:21.525473+00:00", "status": "completed" }, "tags": [] }, "source": [ "When slicing or indexing a multi-orbit object, the resulting single orbit object retains the integrated trajectory of the original multi-orbit object, so you can still plot it without re-integrating:" ] }, { "cell_type": "code", "execution_count": 12, "id": "f0a60b87", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:16:21.537684Z", "iopub.status.busy": "2026-06-30T01:16:21.537482Z", "iopub.status.idle": "2026-06-30T01:16:21.905198Z", "shell.execute_reply": "2026-06-30T01:16:21.904232Z" }, "papermill": { "duration": 0.373181, "end_time": "2026-06-30T01:16:21.906029+00:00", "exception": false, "start_time": "2026-06-30T01:16:21.532848+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Shape of os_plot[1].R(ts): (1001,)\n", "Shape of os_plot[3:9].R(ts): (6, 1001)\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "print(f\"Shape of os_plot[1].R(ts): {os_plot[1].R(ts).shape}\")\n", "print(f\"Shape of os_plot[3:9].R(ts): {os_plot[3:9].R(ts).shape}\")\n", "os_plot[0].plot(color=\"cyan\") # Plot the first orbit in a different color\n", "os_plot[1:5].plot(overplot=True) # Plot orbits 1-4 in default colors\n", "plt.gca().autoscale();" ] }, { "cell_type": "markdown", "id": "indiv-t-md", "metadata": { "papermill": { "duration": 0.003795, "end_time": "2026-06-30T01:16:21.914129+00:00", "exception": false, "start_time": "2026-06-30T01:16:21.910334+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Per-orbit integration time arrays\n", "\n", "By default, `Orbit.integrate(t, pot)` uses a single shared time array `t` for every orbit in the instance. You can also pass per-orbit time arrays by giving `t` a shape that matches the `Orbit` shape with an additional time axis at the end — i.e. `(*orbit.shape, nt)`. Each orbit is then integrated on its own time grid, while still benefiting from the batched, multi-threaded C integrator.\n", "\n", "This is useful when each orbit has a natural integration window of its own, e.g. tail particles in a tidal stream, each integrated from its individual stripping time to the present.\n", "\n", "Note that orbit-continuation (re-integrating to extend an already-integrated orbit) is not supported in this mode — each call to ``integrate`` with a per-orbit ``t`` restarts from the original initial conditions." ] }, { "cell_type": "code", "execution_count": 13, "id": "indiv-t-code", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:16:21.923047Z", "iopub.status.busy": "2026-06-30T01:16:21.922841Z", "iopub.status.idle": "2026-06-30T01:16:21.943456Z", "shell.execute_reply": "2026-06-30T01:16:21.940207Z" }, "papermill": { "duration": 0.026484, "end_time": "2026-06-30T01:16:21.944500+00:00", "exception": false, "start_time": "2026-06-30T01:16:21.918016+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "orbit storage shape: (10, 1001, 6)\n", "per-orbit time-array shape: (10, 1001)\n" ] } ], "source": [ "os_indiv = Orbit(vxvvs) # 10 orbits\n", "# Each orbit gets its own time grid; here from 0 to t_end[i]\n", "t_end = numpy.linspace(5.0, 12.0, os_indiv.size)\n", "ts_indiv = numpy.linspace(\n", " numpy.zeros(os_indiv.size), t_end, 1001, axis=-1\n", ") # shape (10, 1001)\n", "os_indiv.integrate(ts_indiv, MWPotential2014, method=\"dop853_c\")\n", "print(\"orbit storage shape:\", os_indiv.orbit.shape)\n", "print(\"per-orbit time-array shape:\", os_indiv.t.shape)" ] } ], "metadata": { "kernelspec": { "display_name": "py313", "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": "3.13.14" }, "papermill": { "default_parameters": {}, "duration": 4.908129, "end_time": "2026-06-30T01:16:22.666650+00:00", "environment_variables": {}, "exception": null, "input_path": "doc/source/tutorials/orbits/multiple_orbits.ipynb", "output_path": "doc/source/tutorials/orbits/multiple_orbits.ipynb", "parameters": {}, "start_time": "2026-06-30T01:16:17.758521+00:00", "version": "2.7.0" } }, "nbformat": 4, "nbformat_minor": 5 }