{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "34effb46", "metadata": { "execution": { "iopub.execute_input": "2026-09-27T22:28:32.414822Z", "iopub.status.busy": "2026-09-27T22:28:32.414637Z", "iopub.status.idle": "2026-09-27T22:28:32.829091Z", "shell.execute_reply": "2026-09-27T22:28:32.828087Z" }, "nbsphinx": "hidden" }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "id": "859d6f5c", "metadata": { "execution": { "iopub.execute_input": "2026-09-27T22:28:32.831052Z", "iopub.status.busy": "2026-09-27T22:28:32.830714Z", "iopub.status.idle": "2026-09-27T22:28:32.853062Z", "shell.execute_reply": "2026-09-27T22:28:32.852245Z" }, "nbsphinx": "hidden" }, "outputs": [], "source": [ "%run nb_setup" ] }, { "cell_type": "markdown", "id": "5d45d533", "metadata": {}, "source": [ "# Integrate an orbit with uncertainties in Milky Way model" ] }, { "cell_type": "markdown", "id": "3ac96691", "metadata": {}, "source": [ "`gala` provides a simple mass model for the Milky Way based on recent\n", "measurements of the enclosed mass compiled from the literature. See the\n", "[Defining a Milky Way potential\n", "model](define-milky-way-model.html) documentation for more\n", "information about how this model was defined.\n", "\n", "In this example, we will use the position and velocity and uncertainties of\n", "the Milky Way satellite galaxy \"Draco\" to integrate orbits in a Milky Way mass\n", "model starting from samples from the error distribution over initial\n", "conditions defined by its observed kinematics. We will then compute\n", "distributions of orbital properties like orbital period, pericenter, and\n", "eccentricity.\n", "\n", "Let's start by importing packages we will need:" ] }, { "cell_type": "code", "execution_count": 3, "id": "1f30b0ad", "metadata": { "execution": { "iopub.execute_input": "2026-09-27T22:28:32.854742Z", "iopub.status.busy": "2026-09-27T22:28:32.854557Z", "iopub.status.idle": "2026-09-27T22:28:34.351329Z", "shell.execute_reply": "2026-09-27T22:28:34.350419Z" } }, "outputs": [], "source": [ "\n", "import astropy.coordinates as coord\n", "import astropy.units as u\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "# Gala\n", "import gala.dynamics as gd\n", "import gala.potential as gp\n" ] }, { "cell_type": "markdown", "id": "a7457aae", "metadata": {}, "source": [ "We will also set the default Astropy Galactocentric frame parameters to the\n", "values adopted in Astropy v4.0:" ] }, { "cell_type": "code", "execution_count": 4, "id": "53a776c6", "metadata": { "execution": { "iopub.execute_input": "2026-09-27T22:28:34.353459Z", "iopub.status.busy": "2026-09-27T22:28:34.353202Z", "iopub.status.idle": "2026-09-27T22:28:34.359327Z", "shell.execute_reply": "2026-09-27T22:28:34.358548Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "coord.galactocentric_frame_defaults.set(\"v4.0\")" ] }, { "cell_type": "markdown", "id": "68b76c1e", "metadata": {}, "source": [ "For the Milky Way model, we'll use the built-in potential class in `gala` (see\n", "above for definition):" ] }, { "cell_type": "code", "execution_count": 5, "id": "8633e4c7", "metadata": { "execution": { "iopub.execute_input": "2026-09-27T22:28:34.361071Z", "iopub.status.busy": "2026-09-27T22:28:34.360881Z", "iopub.status.idle": "2026-09-27T22:28:34.372810Z", "shell.execute_reply": "2026-09-27T22:28:34.372000Z" } }, "outputs": [], "source": [ "potential = gp.MilkyWayPotential(version=\"latest\")" ] }, { "cell_type": "markdown", "id": "2d661530", "metadata": {}, "source": [ "For the sky position and distance of Draco, we'll use measurements from\n", "[Bonanos et al. 2004](https://arxiv.org/abs/astro-ph/0310477). For proper\n", "motion components, we'll use the recent HSTPROMO measurements ([Sohn et al.\n", "2017](https://arxiv.org/abs/1707.02593)) and the line-of-sight velocity from\n", "[Walker et al. 2007](https://arxiv.org/abs/0708.0010)." ] }, { "cell_type": "code", "execution_count": 6, "id": "ba4db0a2", "metadata": { "execution": { "iopub.execute_input": "2026-09-27T22:28:34.374432Z", "iopub.status.busy": "2026-09-27T22:28:34.374248Z", "iopub.status.idle": "2026-09-27T22:28:34.393356Z", "shell.execute_reply": "2026-09-27T22:28:34.392563Z" } }, "outputs": [], "source": [ "icrs = coord.SkyCoord(\n", " ra=coord.Angle(\"17h 20m 12.4s\"),\n", " dec=coord.Angle(\"+57° 54′ 55″\"),\n", " distance=76 * u.kpc,\n", " pm_ra_cosdec=0.0569 * u.mas / u.yr,\n", " pm_dec=-0.1673 * u.mas / u.yr,\n", " radial_velocity=-291 * u.km / u.s,\n", ")\n", "\n", "icrs_err = coord.SkyCoord(\n", " ra=0 * u.deg,\n", " dec=0 * u.deg,\n", " distance=6 * u.kpc,\n", " pm_ra_cosdec=0.009 * u.mas / u.yr,\n", " pm_dec=0.009 * u.mas / u.yr,\n", " radial_velocity=0.1 * u.km / u.s,\n", ")" ] }, { "cell_type": "markdown", "id": "197f006b", "metadata": {}, "source": [ "Let's start by transforming the measured values to a Galactocentric reference\n", "frame so we can integrate an orbit in our Milky Way model. We'll do this using\n", "the velocity transformation support in\n", "[`astropy.coordinates`](http://docs.astropy.org/en/stable/coordinates/velocities.html).\n", "We first have to define the position and motion of the sun relative to the\n", "Galactocentric frame, and create an\n", "[`astropy.coordinates.Galactocentric`](http://docs.astropy.org/en/stable/api/astropy.coordinates.Galactocentric.html#astropy.coordinates.Galactocentric)\n", "object with these parameters. We could specify these things explicitly, but\n", "instead we will use the default values that were recently updated in Astropy:" ] }, { "cell_type": "code", "execution_count": 7, "id": "d529cf72", "metadata": { "execution": { "iopub.execute_input": "2026-09-27T22:28:34.395229Z", "iopub.status.busy": "2026-09-27T22:28:34.395064Z", "iopub.status.idle": "2026-09-27T22:28:34.399626Z", "shell.execute_reply": "2026-09-27T22:28:34.398796Z" } }, "outputs": [ { "data": { "text/plain": [ ", galcen_distance=8.122 kpc, galcen_v_sun=(12.9, 245.6, 7.78) km / s, z_sun=20.8 pc, roll=0.0 deg)>" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "galcen_frame = coord.Galactocentric()\n", "galcen_frame" ] }, { "cell_type": "markdown", "id": "d8892376", "metadata": {}, "source": [ "To transform the mean observed kinematics to this frame, we simply do:" ] }, { "cell_type": "code", "execution_count": 8, "id": "3968b522", "metadata": { "execution": { "iopub.execute_input": "2026-09-27T22:28:34.401356Z", "iopub.status.busy": "2026-09-27T22:28:34.401060Z", "iopub.status.idle": "2026-09-27T22:28:34.409944Z", "shell.execute_reply": "2026-09-27T22:28:34.409047Z" } }, "outputs": [], "source": [ "galcen = icrs.transform_to(galcen_frame)" ] }, { "cell_type": "markdown", "id": "1c5f29b0", "metadata": {}, "source": [ "That's it! Now we have to turn the resulting `Galactocentric` object into\n", "orbital initial conditions, and integrate the orbit in our Milky Way model.\n", "We'll use a timestep of 0.5 Myr and integrate the orbit backwards for 10000\n", "steps (5 Gyr):" ] }, { "cell_type": "code", "execution_count": 9, "id": "c139a1f6", "metadata": { "execution": { "iopub.execute_input": "2026-09-27T22:28:34.411549Z", "iopub.status.busy": "2026-09-27T22:28:34.411381Z", "iopub.status.idle": "2026-09-27T22:28:34.420326Z", "shell.execute_reply": "2026-09-27T22:28:34.419501Z" } }, "outputs": [], "source": [ "w0 = gd.PhaseSpacePosition(galcen.data)\n", "orbit = potential.integrate_orbit(w0, dt=-0.5 * u.Myr, n_steps=10000)" ] }, { "cell_type": "markdown", "id": "dff76174", "metadata": {}, "source": [ "Let's visualize the orbit:" ] }, { "cell_type": "code", "execution_count": 10, "id": "e930d1d8", "metadata": { "execution": { "iopub.execute_input": "2026-09-27T22:28:34.421945Z", "iopub.status.busy": "2026-09-27T22:28:34.421748Z", "iopub.status.idle": "2026-09-27T22:28:35.010654Z", "shell.execute_reply": "2026-09-27T22:28:35.009698Z" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 411, "width": 1098 } }, "output_type": "display_data" } ], "source": [ "fig = orbit.plot()" ] }, { "cell_type": "markdown", "id": "2cca05f9", "metadata": {}, "source": [ "With the `orbit` object, we can easily compute quantities like the pericenter,\n", "apocenter, or eccentricity of the orbit:" ] }, { "cell_type": "code", "execution_count": 11, "id": "89697201", "metadata": { "execution": { "iopub.execute_input": "2026-09-27T22:28:35.012595Z", "iopub.status.busy": "2026-09-27T22:28:35.012423Z", "iopub.status.idle": "2026-09-27T22:28:35.040296Z", "shell.execute_reply": "2026-09-27T22:28:35.039344Z" } }, "outputs": [ { "data": { "text/plain": [ "(, , )" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "orbit.pericenter(), orbit.apocenter(), orbit.eccentricity()" ] }, { "cell_type": "markdown", "id": "aca39c7f", "metadata": {}, "source": [ "We can also use these functions to get the time of each pericenter or\n", "apocenter - let's plot the time of pericenter, and time of apocenter over the\n", "time series of the Galactocentric radius of the orbit:" ] }, { "cell_type": "code", "execution_count": 12, "id": "e8d28bb8", "metadata": { "execution": { "iopub.execute_input": "2026-09-27T22:28:35.042104Z", "iopub.status.busy": "2026-09-27T22:28:35.041915Z", "iopub.status.idle": "2026-09-27T22:28:35.231266Z", "shell.execute_reply": "2026-09-27T22:28:35.230066Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, '$r$ [$\\\\mathrm{kpc}$]')" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 433, "width": 572 } }, "output_type": "display_data" } ], "source": [ "plt.plot(orbit.t, orbit.spherical.distance, marker=\"None\")\n", "\n", "per, per_times = orbit.pericenter(return_times=True, func=None)\n", "apo, apo_times = orbit.apocenter(return_times=True, func=None)\n", "\n", "for t in per_times:\n", " plt.axvline(t.value, color=\"#67a9cf\")\n", "\n", "for t in apo_times:\n", " plt.axvline(t.value, color=\"#ef8a62\")\n", "\n", "plt.xlabel(\"$t$ [{}]\".format(orbit.t.unit.to_string(\"latex\")))\n", "plt.ylabel(\"$r$ [{}]\".format(orbit.x.unit.to_string(\"latex\")))" ] }, { "cell_type": "markdown", "id": "5b650572", "metadata": {}, "source": [ "Now we'll sample from the error distribution over the distance, proper\n", "motions, and radial velocity, compute orbits, and plot distributions of mean\n", "pericenter and apocenter:" ] }, { "cell_type": "code", "execution_count": 13, "id": "84ac02ef", "metadata": { "execution": { "iopub.execute_input": "2026-09-27T22:28:35.233406Z", "iopub.status.busy": "2026-09-27T22:28:35.233137Z", "iopub.status.idle": "2026-09-27T22:28:35.239780Z", "shell.execute_reply": "2026-09-27T22:28:35.238864Z" } }, "outputs": [], "source": [ "n_samples = 128\n", "\n", "rng = np.random.default_rng(42)\n", "dist = (\n", " rng.normal(icrs.distance.value, icrs_err.distance.value, n_samples)\n", " * icrs.distance.unit\n", ")\n", "\n", "pm_ra_cosdec = (\n", " rng.normal(icrs.pm_ra_cosdec.value, icrs_err.pm_ra_cosdec.value, n_samples)\n", " * icrs.pm_ra_cosdec.unit\n", ")\n", "\n", "pm_dec = (\n", " rng.normal(icrs.pm_dec.value, icrs_err.pm_dec.value, n_samples) * icrs.pm_dec.unit\n", ")\n", "\n", "rv = (\n", " rng.normal(icrs.radial_velocity.value, icrs_err.radial_velocity.value, n_samples)\n", " * icrs.radial_velocity.unit\n", ")\n", "\n", "ra = np.full(n_samples, icrs.ra.degree) * u.degree\n", "dec = np.full(n_samples, icrs.dec.degree) * u.degree" ] }, { "cell_type": "code", "execution_count": 14, "id": "962bd2bd", "metadata": { "execution": { "iopub.execute_input": "2026-09-27T22:28:35.241471Z", "iopub.status.busy": "2026-09-27T22:28:35.241298Z", "iopub.status.idle": "2026-09-27T22:28:35.245377Z", "shell.execute_reply": "2026-09-27T22:28:35.244498Z" } }, "outputs": [], "source": [ "icrs_samples = coord.SkyCoord(\n", " ra=ra,\n", " dec=dec,\n", " distance=dist,\n", " pm_ra_cosdec=pm_ra_cosdec,\n", " pm_dec=pm_dec,\n", " radial_velocity=rv,\n", ")" ] }, { "cell_type": "code", "execution_count": 15, "id": "86cf6eca", "metadata": { "execution": { "iopub.execute_input": "2026-09-27T22:28:35.247019Z", "iopub.status.busy": "2026-09-27T22:28:35.246845Z", "iopub.status.idle": "2026-09-27T22:28:35.250661Z", "shell.execute_reply": "2026-09-27T22:28:35.249975Z" } }, "outputs": [ { "data": { "text/plain": [ "(128,)" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "icrs_samples.shape" ] }, { "cell_type": "code", "execution_count": 16, "id": "35a561e3", "metadata": { "execution": { "iopub.execute_input": "2026-09-27T22:28:35.252532Z", "iopub.status.busy": "2026-09-27T22:28:35.252358Z", "iopub.status.idle": "2026-09-27T22:28:35.261306Z", "shell.execute_reply": "2026-09-27T22:28:35.260437Z" } }, "outputs": [], "source": [ "galcen_samples = icrs_samples.transform_to(galcen_frame)" ] }, { "cell_type": "code", "execution_count": 17, "id": "5f3299f2", "metadata": { "execution": { "iopub.execute_input": "2026-09-27T22:28:35.263209Z", "iopub.status.busy": "2026-09-27T22:28:35.263034Z", "iopub.status.idle": "2026-09-27T22:28:35.308137Z", "shell.execute_reply": "2026-09-27T22:28:35.307307Z" } }, "outputs": [], "source": [ "w0_samples = gd.PhaseSpacePosition(galcen_samples.data)\n", "orbit_samples = potential.integrate_orbit(w0_samples, dt=-1 * u.Myr, n_steps=4000)" ] }, { "cell_type": "code", "execution_count": 18, "id": "19511764", "metadata": { "execution": { "iopub.execute_input": "2026-09-27T22:28:35.310456Z", "iopub.status.busy": "2026-09-27T22:28:35.310281Z", "iopub.status.idle": "2026-09-27T22:28:35.314386Z", "shell.execute_reply": "2026-09-27T22:28:35.313532Z" } }, "outputs": [ { "data": { "text/plain": [ "(4001, 128)" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "orbit_samples.shape" ] }, { "cell_type": "code", "execution_count": 19, "id": "9f5fe7d2", "metadata": { "execution": { "iopub.execute_input": "2026-09-27T22:28:35.315981Z", "iopub.status.busy": "2026-09-27T22:28:35.315780Z", "iopub.status.idle": "2026-09-27T22:28:37.200611Z", "shell.execute_reply": "2026-09-27T22:28:37.199761Z" } }, "outputs": [], "source": [ "peris = orbit_samples.pericenter(approximate=True)\n", "\n", "apos = orbit_samples.apocenter(approximate=True)\n", "\n", "eccs = orbit_samples.eccentricity(approximate=True)" ] }, { "cell_type": "code", "execution_count": 20, "id": "36e6908a", "metadata": { "execution": { "iopub.execute_input": "2026-09-27T22:28:37.202664Z", "iopub.status.busy": "2026-09-27T22:28:37.202488Z", "iopub.status.idle": "2026-09-27T22:28:37.546648Z", "shell.execute_reply": "2026-09-27T22:28:37.545768Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, 'eccentricity')" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 371, "width": 981 } }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 3, figsize=(12, 4), sharey=True)\n", "\n", "axes[0].hist(peris.to_value(u.kpc), bins=np.linspace(20, 80, 32))\n", "axes[0].set_xlabel(\"pericenter [kpc]\")\n", "\n", "axes[1].hist(apos.to_value(u.kpc), bins=np.linspace(60, 140, 32))\n", "axes[1].set_xlabel(\"apocenter [kpc]\")\n", "\n", "axes[2].hist(eccs.value, bins=np.linspace(0.3, 0.5, 41))\n", "axes[2].set_xlabel(\"eccentricity\")" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.12.14" } }, "nbformat": 4, "nbformat_minor": 5 }