{ "cells": [ { "cell_type": "markdown", "id": "7fb27b941602401d91542211134fc71a", "metadata": { "papermill": { "duration": 0.004842, "end_time": "2026-06-30T01:14:44.666645+00:00", "exception": false, "start_time": "2026-06-30T01:14:44.661803+00:00", "status": "completed" }, "tags": [] }, "source": [ "# Getting Started with galpy\n", "\n", "This tutorial introduces the most basic features of galpy: setting up gravitational potentials,\n", "plotting rotation curves, understanding galpy's unit system, and integrating orbits.\n", "\n", "galpy's two core modules are `galpy.potential` (gravitational potentials) and `galpy.orbit` (orbit integration)." ] }, { "cell_type": "markdown", "id": "77a244d9", "metadata": { "papermill": { "duration": 0.003283, "end_time": "2026-06-30T01:14:44.673909+00:00", "exception": false, "start_time": "2026-06-30T01:14:44.670626+00:00", "status": "completed" }, "tags": [] }, "source": [ "
\n", "\n", "**Tip**\n", "\n", "You can copy all of the code examples in this documentation to your clipboard by clicking the clipboard button in the top-right corner of each code cell.\n", "\n", "
" ] }, { "cell_type": "code", "execution_count": 1, "id": "acae54e37e7d407bbb7b55eff062a284", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:14:44.682353Z", "iopub.status.busy": "2026-06-30T01:14:44.682095Z", "iopub.status.idle": "2026-06-30T01:14:45.042896Z", "shell.execute_reply": "2026-06-30T01:14:45.041873Z" }, "papermill": { "duration": 0.366225, "end_time": "2026-06-30T01:14:45.043766+00:00", "exception": false, "start_time": "2026-06-30T01:14:44.677541+00:00", "status": "completed" }, "tags": [] }, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy\n", "import matplotlib.pyplot as plt\n", "import warnings\n", "\n", "warnings.filterwarnings(\"ignore\", category=RuntimeWarning)\n", "warnings.filterwarnings(\"ignore\", category=UserWarning)" ] }, { "cell_type": "markdown", "id": "9a63283cbaf04dbcab1f6479b197f3a8", "metadata": { "papermill": { "duration": 0.003541, "end_time": "2026-06-30T01:14:45.051721+00:00", "exception": false, "start_time": "2026-06-30T01:14:45.048180+00:00", "status": "completed" }, "tags": [] }, "source": [ "## 1. Rotation Curves\n", "\n", "### A single disk potential\n", "\n", "Let's start by initializing a Miyamoto-Nagai disk potential and plotting its rotation curve.\n", "The `normalize=1.` option normalizes the potential so that the circular velocity equals 1 at R=1\n", "(in galpy's natural units)." ] }, { "cell_type": "code", "execution_count": 2, "id": "8dd0d8092fe74a7c96281538738b07e2", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:14:45.062981Z", "iopub.status.busy": "2026-06-30T01:14:45.062697Z", "iopub.status.idle": "2026-06-30T01:14:47.319868Z", "shell.execute_reply": "2026-06-30T01:14:47.318787Z" }, "papermill": { "duration": 2.265419, "end_time": "2026-06-30T01:14:47.320563+00:00", "exception": false, "start_time": "2026-06-30T01:14:45.055144+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from galpy.potential import MiyamotoNagaiPotential\n", "\n", "mp = MiyamotoNagaiPotential(a=0.5, b=0.0375, normalize=1.0)\n", "mp.plotRotcurve(Rrange=[0.01, 10.0], grid=1001);" ] }, { "cell_type": "markdown", "id": "72eea5119410473aa328ad9291626812", "metadata": { "papermill": { "duration": 0.003527, "end_time": "2026-06-30T01:14:47.327906+00:00", "exception": false, "start_time": "2026-06-30T01:14:47.324379+00:00", "status": "completed" }, "tags": [] }, "source": [ "### Combining multiple potentials\n", "\n", "A realistic galaxy model requires multiple components. We can combine potentials simply by\n", "adding them with `+`. Here we create a three-component model with a disk, a halo, and a bulge.\n", "Note that the `normalize` values sum to 1, so the composite circular velocity is 1 at R=1." ] }, { "cell_type": "code", "execution_count": 3, "id": "8edb47106e1a46a883d545849b8ab81b", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:14:47.336706Z", "iopub.status.busy": "2026-06-30T01:14:47.336063Z", "iopub.status.idle": "2026-06-30T01:14:47.645445Z", "shell.execute_reply": "2026-06-30T01:14:47.644440Z" }, "papermill": { "duration": 0.314624, "end_time": "2026-06-30T01:14:47.646210+00:00", "exception": false, "start_time": "2026-06-30T01:14:47.331586+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from galpy.potential import NFWPotential, HernquistPotential\n", "\n", "mp = MiyamotoNagaiPotential(a=0.5, b=0.0375, normalize=0.6)\n", "nfp = NFWPotential(a=4.5, normalize=0.35)\n", "hp = HernquistPotential(a=0.6 / 8, normalize=0.05)\n", "(hp + mp + nfp).plotRotcurve(Rrange=[0.01, 10.0], grid=1001, yrange=[0.0, 1.2]);" ] }, { "cell_type": "markdown", "id": "10185d26023b46108eb7d9f57d49d2b3", "metadata": { "papermill": { "duration": 0.003509, "end_time": "2026-06-30T01:14:47.654309+00:00", "exception": false, "start_time": "2026-06-30T01:14:47.650800+00:00", "status": "completed" }, "tags": [] }, "source": [ "The resulting rotation curve is approximately flat, as observed in many spiral galaxies.\n", "We can overplot the individual component curves to see how each contributes:" ] }, { "cell_type": "code", "execution_count": 4, "id": "8763a12b2bbd4a93a75aff182afb95dc", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:14:47.662707Z", "iopub.status.busy": "2026-06-30T01:14:47.662505Z", "iopub.status.idle": "2026-06-30T01:14:48.107867Z", "shell.execute_reply": "2026-06-30T01:14:48.106872Z" }, "papermill": { "duration": 0.450591, "end_time": "2026-06-30T01:14:48.108497+00:00", "exception": false, "start_time": "2026-06-30T01:14:47.657906+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "(hp + mp + nfp).plotRotcurve(\n", " Rrange=[0.01, 10.0], grid=1001, yrange=[0.0, 1.2], label=\"Total\"\n", ")\n", "mp.plotRotcurve(Rrange=[0.01, 10.0], grid=1001, overplot=True, label=\"Disk\")\n", "hp.plotRotcurve(Rrange=[0.01, 10.0], grid=1001, overplot=True, label=\"Bulge\")\n", "nfp.plotRotcurve(Rrange=[0.01, 10.0], grid=1001, overplot=True, label=\"Halo\")\n", "plt.legend();" ] }, { "cell_type": "markdown", "id": "7623eae2785240b9bd12b16a66d81610", "metadata": { "papermill": { "duration": 0.003849, "end_time": "2026-06-30T01:14:48.116773+00:00", "exception": false, "start_time": "2026-06-30T01:14:48.112924+00:00", "status": "completed" }, "tags": [] }, "source": [ "### MWPotential2014\n", "\n", "galpy includes `MWPotential2014`, a Milky-Way-like potential fit to\n", "various dynamical constraints ([Bovy 2015](http://arxiv.org/abs/1412.3451)). See the [Introduction to Potentials](../potentials/introduction.ipynb) for details." ] }, { "cell_type": "code", "execution_count": 5, "id": "7cdc8c89c7104fffa095e18ddfef8986", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:14:48.125820Z", "iopub.status.busy": "2026-06-30T01:14:48.125560Z", "iopub.status.idle": "2026-06-30T01:14:48.461626Z", "shell.execute_reply": "2026-06-30T01:14:48.460765Z" }, "papermill": { "duration": 0.341914, "end_time": "2026-06-30T01:14:48.462611+00:00", "exception": false, "start_time": "2026-06-30T01:14:48.120697+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from galpy.potential import MWPotential2014\n", "\n", "MWPotential2014.plotRotcurve(Rrange=[0.01, 10.0], grid=1001);" ] }, { "cell_type": "markdown", "id": "b118ea5561624da68c537baed56e602f", "metadata": { "papermill": { "duration": 0.003906, "end_time": "2026-06-30T01:14:48.470786+00:00", "exception": false, "start_time": "2026-06-30T01:14:48.466880+00:00", "status": "completed" }, "tags": [] }, "source": [ "## 2. Natural Units\n", "\n", "Internally, galpy uses a **natural unit system**, where:\n", "\n", "- Positions are scaled as $x = X / $ ro\n", "- Velocities are scaled as $v = V / $ vo,\n", "\n", "where the default values of `ro` and `vo` are 8 kpc and 220 km/s, respectively. These can be changed when initializing potentials, orbits, or other galpy objects or they can be changed in the [configuration file](../../installation.rst#configuration-file). So when `normalize=1.` is set, the circular velocity is 1 at R=1, which corresponds to 220 km/s at 8 kpc for a Milky-Way-like galaxy.\n", "\n", "The `galpy.util.conversion` module helps convert between natural and physical units.\n", "For example, the orbital period of a circular orbit at R=1 is $2\\pi$ in natural units.\n", "In physical units:" ] }, { "cell_type": "code", "execution_count": 6, "id": "938c804e27f84196a10c8828c723f798", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:14:48.480327Z", "iopub.status.busy": "2026-06-30T01:14:48.479956Z", "iopub.status.idle": "2026-06-30T01:14:48.484071Z", "shell.execute_reply": "2026-06-30T01:14:48.482982Z" }, "papermill": { "duration": 0.00978, "end_time": "2026-06-30T01:14:48.484686+00:00", "exception": false, "start_time": "2026-06-30T01:14:48.474906+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Orbital period at R=1: 0.22340544439051707 Gyr\n" ] } ], "source": [ "from galpy.util import conversion\n", "\n", "print(\n", " \"Orbital period at R=1:\", 2.0 * numpy.pi * conversion.time_in_Gyr(220.0, 8.0), \"Gyr\"\n", ")" ] }, { "cell_type": "markdown", "id": "504fb2a444614c0babb325280ed9130a", "metadata": { "papermill": { "duration": 0.003994, "end_time": "2026-06-30T01:14:48.492959+00:00", "exception": false, "start_time": "2026-06-30T01:14:48.488965+00:00", "status": "completed" }, "tags": [] }, "source": [ "About 223 Myr, as expected for a solar-like orbit.\n", "\n", "We can also convert forces and densities. For example, the vertical force at\n", "1.1 kpc above the plane at the solar radius in `MWPotential2014`:" ] }, { "cell_type": "code", "execution_count": 7, "id": "59bbdb311c014d738909a11f9e486628", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:14:48.502114Z", "iopub.status.busy": "2026-06-30T01:14:48.501910Z", "iopub.status.idle": "2026-06-30T01:14:48.506101Z", "shell.execute_reply": "2026-06-30T01:14:48.505262Z" }, "papermill": { "duration": 0.009689, "end_time": "2026-06-30T01:14:48.506702+00:00", "exception": false, "start_time": "2026-06-30T01:14:48.497013+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Fz in pc/Myr^2: 2.0259181889046634\n", "Fz in 2*pi*G*Msun/pc^2: 71.67605643105574\n" ] } ], "source": [ "Fz = -MWPotential2014.zforce(1.0, 1.1 / 8.0)\n", "print(\"Fz in pc/Myr^2:\", Fz * conversion.force_in_pcMyr2(220.0, 8.0))\n", "print(\"Fz in 2*pi*G*Msun/pc^2:\", Fz * conversion.force_in_2piGmsolpc2(220.0, 8.0))" ] }, { "cell_type": "markdown", "id": "b43b363d81ae4b689946ece5c682cd59", "metadata": { "papermill": { "duration": 0.004068, "end_time": "2026-06-30T01:14:48.515109+00:00", "exception": false, "start_time": "2026-06-30T01:14:48.511041+00:00", "status": "completed" }, "tags": [] }, "source": [ "The `conversion` module also has functions for densities (`dens_in_msolpc3`),\n", "masses (`mass_in_msol`), surface densities, and frequencies.\n", "See the [API documentation](../../reference/potential.rst) for a full list." ] }, { "cell_type": "markdown", "id": "8a65eabff63a45729fe45fb5ade58bdc", "metadata": { "papermill": { "duration": 0.004026, "end_time": "2026-06-30T01:14:48.523522+00:00", "exception": false, "start_time": "2026-06-30T01:14:48.519496+00:00", "status": "completed" }, "tags": [] }, "source": [ "## 3. Physical Units with astropy\n", "\n", "Any input to a galpy Potential, Orbit, or other object can be specified in physical units\n", "using astropy Quantities. For example, we can set up a Miyamoto-Nagai potential with\n", "a mass of $5 \\times 10^{10}\\,M_\\odot$, a scale length of 3 kpc, and a scale height of 300 pc:" ] }, { "cell_type": "code", "execution_count": 8, "id": "c3933fab20d04ec698c2621248eb3be0", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:14:48.532734Z", "iopub.status.busy": "2026-06-30T01:14:48.532534Z", "iopub.status.idle": "2026-06-30T01:14:48.536369Z", "shell.execute_reply": "2026-06-30T01:14:48.535569Z" }, "papermill": { "duration": 0.009405, "end_time": "2026-06-30T01:14:48.537032+00:00", "exception": false, "start_time": "2026-06-30T01:14:48.527627+00:00", "status": "completed" }, "tags": [] }, "outputs": [], "source": [ "from astropy import units\n", "\n", "mp_phys = MiyamotoNagaiPotential(\n", " amp=5e10 * units.Msun, a=3.0 * units.kpc, b=300.0 * units.pc\n", ")" ] }, { "cell_type": "markdown", "id": "4dd4641cc4064e0191573fe9c69df29b", "metadata": { "papermill": { "duration": 0.004094, "end_time": "2026-06-30T01:14:48.545572+00:00", "exception": false, "start_time": "2026-06-30T01:14:48.541478+00:00", "status": "completed" }, "tags": [] }, "source": [ "When a potential is set up with physical-unit inputs, outputs are returned in physical units\n", "by default. The circular velocity at 10 kpc:" ] }, { "cell_type": "code", "execution_count": 9, "id": "8309879909854d7188b41380fd92a7c3", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:14:48.555104Z", "iopub.status.busy": "2026-06-30T01:14:48.554780Z", "iopub.status.idle": "2026-06-30T01:14:48.564229Z", "shell.execute_reply": "2026-06-30T01:14:48.563362Z" }, "papermill": { "duration": 0.015122, "end_time": "2026-06-30T01:14:48.564855+00:00", "exception": false, "start_time": "2026-06-30T01:14:48.549733+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "v_circ at 10 kpc: 135.70512798497137 km/s\n" ] } ], "source": [ "print(\"v_circ at 10 kpc:\", mp_phys.vcirc(10.0 * units.kpc), \"km/s\")" ] }, { "cell_type": "markdown", "id": "3ed186c9a28b402fb0bc4494df01f08d", "metadata": { "papermill": { "duration": 0.004127, "end_time": "2026-06-30T01:14:48.573316+00:00", "exception": false, "start_time": "2026-06-30T01:14:48.569189+00:00", "status": "completed" }, "tags": [] }, "source": [ "If you have `astropy-units = True` in your galpy configuration file, the return value\n", "will be an astropy Quantity with units attached. Without that setting, the value is\n", "returned as a plain float in the default units (km/s for velocities, kpc for distances, etc.).\n", "\n", "
\n", "\n", "**Warning**\n", "\n", "If you do not specify arguments as a Quantity, galpy assumes they are in natural units.\n", "For example, `mp_phys.vcirc(10.)` treats the input as 10 times the distance scale (80 kpc by default),\n", "not 10 kpc.\n", "\n", "
" ] }, { "cell_type": "markdown", "id": "545263ba", "metadata": { "papermill": { "duration": 0.003924, "end_time": "2026-06-30T01:14:48.581368+00:00", "exception": false, "start_time": "2026-06-30T01:14:48.577444+00:00", "status": "completed" }, "tags": [] }, "source": [ "### Default physical units\n", "\n", "When outputs are returned in physical units, the following default units are used:\n", "\n", "| Quantity | Default unit |\n", "|----------|-------------|\n", "| position | kpc |\n", "| velocity | km/s |\n", "| angular velocity | km/s/kpc |\n", "| energy | (km/s)^2 |\n", "| angular momentum | km/s x kpc |\n", "| actions | km/s x kpc |\n", "| frequencies | 1/Gyr |\n", "| time | Gyr |\n", "| period | Gyr |\n", "| potential | (km/s)^2 |\n", "| force | km/s/Myr |\n", "| density | Msun/pc^3 |\n", "| surface density | Msun/pc^2 |\n", "| mass | Msun |\n", "| proper motion | mas/yr |\n", "\n", "
\n", "\n", "**Warning**\n", "\n", "When returned as a `Quantity`, frequencies get units of 1/Gyr, although in detail this means rad/Gyr (not cycles/Gyr).\n", "\n", "
\n", "\n", "
\n", "\n", "**Tip**\n", "\n", "When you specify all inputs as astropy Quantities with units and receive outputs as Quantities, the internal unit-conversion parameters `ro` and `vo` are irrelevant -- you do not need to set them.\n", "\n", "
" ] }, { "cell_type": "markdown", "id": "74b0a0bd", "metadata": { "papermill": { "duration": 0.003945, "end_time": "2026-06-30T01:14:48.589381+00:00", "exception": false, "start_time": "2026-06-30T01:14:48.585436+00:00", "status": "completed" }, "tags": [] }, "source": [ "### Toggling physical units on and off\n", "\n", "You can toggle physical-unit output on or off for an object, or override it per call\n", "using the `use_physical` keyword. You can also pass `quantity=True` to any evaluation to get the result as an astropy `Quantity`." ] }, { "cell_type": "code", "execution_count": 10, "id": "5e218a77", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:14:48.598956Z", "iopub.status.busy": "2026-06-30T01:14:48.598741Z", "iopub.status.idle": "2026-06-30T01:14:48.607678Z", "shell.execute_reply": "2026-06-30T01:14:48.606706Z" }, "papermill": { "duration": 0.014598, "end_time": "2026-06-30T01:14:48.608286+00:00", "exception": false, "start_time": "2026-06-30T01:14:48.593688+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Natural units: 0.6623918492376609\n", "Physical units: 145.7262068322854 km/s\n", "Per-call override of use_physical: 0.616841490840779\n", "Per-call override of quantity: 135.70512798497137 km / s\n" ] } ], "source": [ "mp_phys.turn_physical_off()\n", "print(\"Natural units:\", mp_phys.vcirc(1.0))\n", "mp_phys.turn_physical_on()\n", "print(\"Physical units:\", mp_phys.vcirc(1.0), \"km/s\")\n", "# Per-call overrides:\n", "print(\n", " \"Per-call override of use_physical:\",\n", " mp_phys.vcirc(10.0 * units.kpc, use_physical=False),\n", ")\n", "print(\"Per-call override of quantity:\", mp_phys.vcirc(10.0 * units.kpc, quantity=True))" ] }, { "cell_type": "markdown", "id": "cb1e1581032b452c9409d6c6813c49d1", "metadata": { "papermill": { "duration": 0.004116, "end_time": "2026-06-30T01:14:48.616765+00:00", "exception": false, "start_time": "2026-06-30T01:14:48.612649+00:00", "status": "completed" }, "tags": [] }, "source": [ "## 4. First Orbit Integration\n", "\n", "Let's integrate an orbit in the Miyamoto-Nagai potential. We initialize an orbit\n", "with a five-dimensional initial condition `[R, vR, vT, z, vz]` (axisymmetric, so no azimuth):" ] }, { "cell_type": "code", "execution_count": 11, "id": "379cbbc1e968416e875cc15c1202d7eb", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:14:48.626195Z", "iopub.status.busy": "2026-06-30T01:14:48.625982Z", "iopub.status.idle": "2026-06-30T01:14:48.851634Z", "shell.execute_reply": "2026-06-30T01:14:48.850621Z" }, "papermill": { "duration": 0.231755, "end_time": "2026-06-30T01:14:48.852728+00:00", "exception": false, "start_time": "2026-06-30T01:14:48.620973+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from galpy.orbit import Orbit\n", "\n", "mp = MiyamotoNagaiPotential(a=0.5, b=0.0375, amp=1.0, normalize=1.0)\n", "o = Orbit([1.0, 0.1, 1.1, 0.0, 0.1])\n", "ts = numpy.linspace(0, 100, 10000)\n", "o.integrate(ts, mp)\n", "o.plot();" ] }, { "cell_type": "markdown", "id": "277c27b1587741f2af2001be3712ef0d", "metadata": { "papermill": { "duration": 0.005136, "end_time": "2026-06-30T01:14:48.863485+00:00", "exception": false, "start_time": "2026-06-30T01:14:48.858349+00:00", "status": "completed" }, "tags": [] }, "source": [ "The orbit plot shows R vs. z. We can check energy conservation:" ] }, { "cell_type": "code", "execution_count": 12, "id": "db7b79bc585a40fcaf58bf750017e135", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:14:48.875308Z", "iopub.status.busy": "2026-06-30T01:14:48.875062Z", "iopub.status.idle": "2026-06-30T01:14:49.061733Z", "shell.execute_reply": "2026-06-30T01:14:49.060485Z" }, "papermill": { "duration": 0.193721, "end_time": "2026-06-30T01:14:49.062541+00:00", "exception": false, "start_time": "2026-06-30T01:14:48.868820+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "o.plotE(normed=True);" ] }, { "cell_type": "markdown", "id": "916684f9a58a4a2aa5f864670399430d", "metadata": { "papermill": { "duration": 0.006834, "end_time": "2026-06-30T01:14:49.076733+00:00", "exception": false, "start_time": "2026-06-30T01:14:49.069899+00:00", "status": "completed" }, "tags": [] }, "source": [ "Energy is well conserved. See the [Orbit Integration and Plotting](../orbits/integration_and_plotting.ipynb) tutorial for more on integrators and energy conservation." ] }, { "cell_type": "markdown", "id": "33b0902fd34d4ace834912fa1002cf8e", "metadata": { "papermill": { "duration": 0.00553, "end_time": "2026-06-30T01:14:49.088048+00:00", "exception": false, "start_time": "2026-06-30T01:14:49.082518+00:00", "status": "completed" }, "tags": [] }, "source": [ "We can also integrate in the composite potential defined earlier:" ] }, { "cell_type": "code", "execution_count": 13, "id": "f6fa52606d8c4a75a9b52967216f8f3f", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:14:49.100583Z", "iopub.status.busy": "2026-06-30T01:14:49.100381Z", "iopub.status.idle": "2026-06-30T01:14:49.294090Z", "shell.execute_reply": "2026-06-30T01:14:49.293073Z" }, "papermill": { "duration": 0.201229, "end_time": "2026-06-30T01:14:49.295098+00:00", "exception": false, "start_time": "2026-06-30T01:14:49.093869+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mp = MiyamotoNagaiPotential(a=0.5, b=0.0375, normalize=0.6)\n", "nfp = NFWPotential(a=4.5, normalize=0.35)\n", "hp = HernquistPotential(a=0.6 / 8, normalize=0.05)\n", "o = Orbit([1.0, 0.1, 1.1, 0.0, 0.1])\n", "ts = numpy.linspace(0, 100, 10000)\n", "o.integrate(ts, mp + hp + nfp)\n", "o.plot();" ] }, { "cell_type": "markdown", "id": "f5a1fa73e5044315a093ec459c9be902", "metadata": { "papermill": { "duration": 0.006753, "end_time": "2026-06-30T01:14:49.309414+00:00", "exception": false, "start_time": "2026-06-30T01:14:49.302661+00:00", "status": "completed" }, "tags": [] }, "source": [ "## 5. Escape Velocity Curves\n", "\n", "Just like rotation curves, we can plot escape velocity curves for any potential or\n", "combination of potentials:" ] }, { "cell_type": "code", "execution_count": 14, "id": "cdf66aed5cc84ca1b48e60bad68798a8", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:14:49.324109Z", "iopub.status.busy": "2026-06-30T01:14:49.323912Z", "iopub.status.idle": "2026-06-30T01:14:49.502862Z", "shell.execute_reply": "2026-06-30T01:14:49.502113Z" }, "papermill": { "duration": 0.187297, "end_time": "2026-06-30T01:14:49.503544+00:00", "exception": false, "start_time": "2026-06-30T01:14:49.316247+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mp_single = MiyamotoNagaiPotential(a=0.5, b=0.0375, normalize=1.0)\n", "mp_single.plotEscapecurve(Rrange=[0.01, 10.0], grid=1001);" ] }, { "cell_type": "markdown", "id": "7a27b1fb", "metadata": { "papermill": { "duration": 0.007031, "end_time": "2026-06-30T01:14:49.518677+00:00", "exception": false, "start_time": "2026-06-30T01:14:49.511646+00:00", "status": "completed" }, "tags": [] }, "source": [ "We can do the same for the `MWPotential2014` composite potential:" ] }, { "cell_type": "code", "execution_count": 15, "id": "28d3efd5258a48a79c179ea5c6759f01", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:14:49.533774Z", "iopub.status.busy": "2026-06-30T01:14:49.533567Z", "iopub.status.idle": "2026-06-30T01:14:49.762198Z", "shell.execute_reply": "2026-06-30T01:14:49.761316Z" }, "papermill": { "duration": 0.237287, "end_time": "2026-06-30T01:14:49.762902+00:00", "exception": false, "start_time": "2026-06-30T01:14:49.525615+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "MWPotential2014.plotEscapecurve(Rrange=[0.01, 10.0], grid=1001);" ] }, { "cell_type": "markdown", "id": "3f9bc0b9dd2c44919cc8dcca39b469f8", "metadata": { "papermill": { "duration": 0.006966, "end_time": "2026-06-30T01:14:49.777387+00:00", "exception": false, "start_time": "2026-06-30T01:14:49.770421+00:00", "status": "completed" }, "tags": [] }, "source": [ "The escape velocity at the solar radius in `MWPotential2014`:" ] }, { "cell_type": "code", "execution_count": 16, "id": "0e382214b5f147d187d36a2058b9c724", "metadata": { "execution": { "iopub.execute_input": "2026-06-30T01:14:49.793007Z", "iopub.status.busy": "2026-06-30T01:14:49.792803Z", "iopub.status.idle": "2026-06-30T01:14:49.796484Z", "shell.execute_reply": "2026-06-30T01:14:49.795713Z" }, "papermill": { "duration": 0.012921, "end_time": "2026-06-30T01:14:49.797485+00:00", "exception": false, "start_time": "2026-06-30T01:14:49.784564+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Escape velocity at R=1 (natural units): 2.3316389848832784\n", "Escape velocity at solar radius: 512.9605766743213 km/s\n" ] } ], "source": [ "v_esc = MWPotential2014.vesc(1.0)\n", "print(\"Escape velocity at R=1 (natural units):\", v_esc)\n", "print(\"Escape velocity at solar radius:\", v_esc * 220.0, \"km/s\")" ] }, { "cell_type": "markdown", "id": "5b09d5ef5b5e4bb6ab9b829b10b6a29f", "metadata": { "papermill": { "duration": 0.007005, "end_time": "2026-06-30T01:14:49.812979+00:00", "exception": false, "start_time": "2026-06-30T01:14:49.805974+00:00", "status": "completed" }, "tags": [] }, "source": [ "This is approximately 513 km/s, consistent with direct measurements of the\n", "Milky Way's escape velocity (e.g., [Smith et al. 2007](http://adsabs.harvard.edu/abs/2007MNRAS.379..755S); [Piffl et al. 2014](http://adsabs.harvard.edu/abs/2014A%26A...562A..91P)).\n", "\n", "---\n", "\n", "## Next steps\n", "\n", "Explore the rest of galpy's documentation:\n", "\n", "- [Introduction to Potentials](../potentials/introduction.ipynb) — evaluate potentials, forces, densities, and orbital frequencies\n", "- [Orbit Initialization](../orbits/initialization.ipynb) — initialize orbits from various coordinate systems\n", "- [Milky Way-like Potentials](../potentials/milky_way_potentials.ipynb) — built-in models for the Milky Way\n", "- [Action-Angle Coordinates](../action_angle/introduction.ipynb) — compute orbital actions, frequencies, and angles" ] } ], "metadata": { "kernelspec": { "display_name": "py312", "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": 6.728173, "end_time": "2026-06-30T01:14:50.536644+00:00", "environment_variables": {}, "exception": null, "input_path": "doc/source/tutorials/getting_started/rotation_curves_and_units.ipynb", "output_path": "doc/source/tutorials/getting_started/rotation_curves_and_units.ipynb", "parameters": {}, "start_time": "2026-06-30T01:14:43.808471+00:00", "version": "2.7.0" } }, "nbformat": 4, "nbformat_minor": 5 }