{ "cells": [ { "cell_type": "markdown", "id": "7fb27b941602401d91542211134fc71a", "metadata": { "papermill": { "duration": 0.005682, "end_time": "2026-05-16T13:49:55.352050+00:00", "exception": false, "start_time": "2026-05-16T13:49:55.346368+00:00", "status": "completed" }, "tags": [] }, "source": [ "# Introduction to Potentials\n", "\n", "galpy provides a large library of gravitational potentials. This notebook covers how to\n", "initialize potentials, evaluate them, combine them, and compute useful dynamical quantities.\n", "\n", "See also: [Potential Wrappers](wrappers.ipynb) for time-dependent and rotating potentials,\n", "[SCF and Multipole Expansions](scf_and_multipole.ipynb) for basis-function representations,\n", "[Dissipative Forces](dissipative.ipynb) for working with dissipative forces such as dynamical friction, \n", "[Milky Way Potentials](milky_way_potentials.ipynb) for pre-built MW models, [N-body snapshots](nbody_snapshots.ipynb) for working with N-body simulation data, and [Other codes](other_codes.ipynb) for info on how to use galpy potentials with a host of other codes." ] }, { "cell_type": "code", "execution_count": 1, "id": "acae54e37e7d407bbb7b55eff062a284", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:49:55.363198Z", "iopub.status.busy": "2026-05-16T13:49:55.362930Z", "iopub.status.idle": "2026-05-16T13:49:57.727765Z", "shell.execute_reply": "2026-05-16T13:49:57.726774Z" }, "papermill": { "duration": 2.371384, "end_time": "2026-05-16T13:49:57.728506+00:00", "exception": false, "start_time": "2026-05-16T13:49:55.357122+00:00", "status": "completed" }, "tags": [] }, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy\n", "from matplotlib import pyplot as plt\n", "from galpy import potential\n", "from galpy.potential import (\n", " MiyamotoNagaiPotential,\n", " NFWPotential,\n", " HernquistPotential,\n", " LogarithmicHaloPotential,\n", " MWPotential2014,\n", ")\n", "from galpy.util import conversion\n", "import warnings\n", "\n", "warnings.filterwarnings(\"ignore\", category=RuntimeWarning)\n", "warnings.filterwarnings(\"ignore\", category=UserWarning)" ] }, { "cell_type": "markdown", "id": "9a63283cbaf04dbcab1f6479b197f3a8", "metadata": { "papermill": { "duration": 0.004869, "end_time": "2026-05-16T13:49:57.738893+00:00", "exception": false, "start_time": "2026-05-16T13:49:57.734024+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Initializing a potential\n", "\n", "Let's start by creating a Miyamoto-Nagai disk potential. In galpy's natural units,\n", "velocities are normalized to the circular velocity at the Sun, and distances to the\n", "Sun's Galactocentric radius." ] }, { "cell_type": "code", "execution_count": 2, "id": "8dd0d8092fe74a7c96281538738b07e2", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:49:57.750030Z", "iopub.status.busy": "2026-05-16T13:49:57.749701Z", "iopub.status.idle": "2026-05-16T13:49:57.754963Z", "shell.execute_reply": "2026-05-16T13:49:57.753984Z" }, "papermill": { "duration": 0.011579, "end_time": "2026-05-16T13:49:57.755650+00:00", "exception": false, "start_time": "2026-05-16T13:49:57.744071+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "text/plain": [ "MiyamotoNagaiPotential with internal parameters: amp=1.4632953564490085, a=0.5, b=0.0375 and physical outputs off" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mp = MiyamotoNagaiPotential(a=0.5, b=0.0375, normalize=1.0)\n", "mp" ] }, { "cell_type": "markdown", "id": "72eea5119410473aa328ad9291626812", "metadata": { "papermill": { "duration": 0.004998, "end_time": "2026-05-16T13:49:57.765817+00:00", "exception": false, "start_time": "2026-05-16T13:49:57.760819+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Evaluating potential values and forces\n", "\n", "Evaluate the potential at (R, z) = (1, 0), i.e., the solar position in natural units. Calling the potential object directly returns the potential value:" ] }, { "cell_type": "code", "execution_count": 3, "id": "8edb47106e1a46a883d545849b8ab81b", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:49:57.779918Z", "iopub.status.busy": "2026-05-16T13:49:57.779696Z", "iopub.status.idle": "2026-05-16T13:49:57.783955Z", "shell.execute_reply": "2026-05-16T13:49:57.782957Z" }, "papermill": { "duration": 0.013647, "end_time": "2026-05-16T13:49:57.784600+00:00", "exception": false, "start_time": "2026-05-16T13:49:57.770953+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Phi(R=1, z=0) = -1.2889062500000001\n" ] } ], "source": [ "# Potential value at (R, z) = (1, 0)\n", "print(\"Phi(R=1, z=0) =\", mp(1.0, 0.0))" ] }, { "cell_type": "markdown", "id": "9fb04a61", "metadata": { "papermill": { "duration": 0.005004, "end_time": "2026-05-16T13:49:57.794882+00:00", "exception": false, "start_time": "2026-05-16T13:49:57.789878+00:00", "status": "completed" }, "tags": [] }, "source": [ "
\n", "\n", "**Warning**\n", "\n", "galpy potentials do *not* necessarily approach zero at infinity. To compute, for example, the escape velocity or whether or not an orbit is unbound, you need to take into account the value of the potential at infinity: $v_{\\mathrm{esc}}(r) = \\sqrt{2[\\Phi(\\infty)-\\Phi(r)]}$. If you want to create a potential that does go to zero at infinity, you can add a `NullPotential` with value equal to minus the original potential evaluated at infinity.\n", "\n", "
\n", "\n", "
\n", "\n", "**Tip**\n", "\n", "Potentials can be initialized and evaluated with arguments specified as astropy Quantities with units. Use the configuration parameter `astropy-units = True` to get output values as a Quantity. See the section on [initializing potentials with physical parameters](#Initializing-potentials-with-physical-parameters) below.\n", "\n", "
" ] }, { "cell_type": "markdown", "id": "5eb10c7e", "metadata": { "papermill": { "duration": 0.004999, "end_time": "2026-05-16T13:49:57.805069+00:00", "exception": false, "start_time": "2026-05-16T13:49:57.800070+00:00", "status": "completed" }, "tags": [] }, "source": [ "To evaluate the forces, use the `Rforce` and `zforce` methods:" ] }, { "cell_type": "code", "execution_count": 4, "id": "10185d26023b46108eb7d9f57d49d2b3", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:49:57.816404Z", "iopub.status.busy": "2026-05-16T13:49:57.816171Z", "iopub.status.idle": "2026-05-16T13:49:57.820075Z", "shell.execute_reply": "2026-05-16T13:49:57.819255Z" }, "papermill": { "duration": 0.010677, "end_time": "2026-05-16T13:49:57.820920+00:00", "exception": false, "start_time": "2026-05-16T13:49:57.810243+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "F_R(R=1, z=0) = -1.0\n", "F_z(R=1, z=0.1) = -0.5194918992748312\n" ] } ], "source": [ "# Radial and vertical forces\n", "print(\"F_R(R=1, z=0) =\", mp.Rforce(1.0, 0.0))\n", "print(\"F_z(R=1, z=0.1) =\", mp.zforce(1.0, 0.1))" ] }, { "cell_type": "markdown", "id": "f20c0304", "metadata": { "papermill": { "duration": 0.005036, "end_time": "2026-05-16T13:49:57.831260+00:00", "exception": false, "start_time": "2026-05-16T13:49:57.826224+00:00", "status": "completed" }, "tags": [] }, "source": [ "The azimuthal torque can be computed with the `phitorque` method:" ] }, { "cell_type": "code", "execution_count": 5, "id": "0dd3756f", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:49:57.842468Z", "iopub.status.busy": "2026-05-16T13:49:57.842303Z", "iopub.status.idle": "2026-05-16T13:49:57.845582Z", "shell.execute_reply": "2026-05-16T13:49:57.844739Z" }, "papermill": { "duration": 0.009847, "end_time": "2026-05-16T13:49:57.846379+00:00", "exception": false, "start_time": "2026-05-16T13:49:57.836532+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "N_phi(R=1, z=0) = 0.0\n" ] } ], "source": [ "print(\"N_phi(R=1, z=0) =\", mp.phitorque(1.0, 0.0))" ] }, { "cell_type": "markdown", "id": "8763a12b2bbd4a93a75aff182afb95dc", "metadata": { "papermill": { "duration": 0.005053, "end_time": "2026-05-16T13:49:57.856633+00:00", "exception": false, "start_time": "2026-05-16T13:49:57.851580+00:00", "status": "completed" }, "tags": [] }, "source": [ "## The functional interface\n", "\n", "galpy also provides module-level functions that work on single potentials or lists of potentials:" ] }, { "cell_type": "code", "execution_count": 6, "id": "7623eae2785240b9bd12b16a66d81610", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:49:57.868188Z", "iopub.status.busy": "2026-05-16T13:49:57.867681Z", "iopub.status.idle": "2026-05-16T13:49:57.871885Z", "shell.execute_reply": "2026-05-16T13:49:57.871124Z" }, "papermill": { "duration": 0.010828, "end_time": "2026-05-16T13:49:57.872599+00:00", "exception": false, "start_time": "2026-05-16T13:49:57.861771+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "evaluatePotentials: -1.2889062500000001\n", "evaluateRforces: -1.0\n", "evaluatezforces: -0.5194918992748312\n", "evaluatephitorques: 0.0\n" ] } ], "source": [ "print(\"evaluatePotentials:\", potential.evaluatePotentials(mp, 1.0, 0.0))\n", "print(\"evaluateRforces:\", potential.evaluateRforces(mp, 1.0, 0.0))\n", "print(\"evaluatezforces:\", potential.evaluatezforces(mp, 1.0, 0.1))\n", "print(\"evaluatephitorques:\", potential.evaluatephitorques(mp, 1.0, 0.0))" ] }, { "cell_type": "markdown", "id": "7cdc8c89c7104fffa095e18ddfef8986", "metadata": { "papermill": { "duration": 0.005093, "end_time": "2026-05-16T13:49:57.882927+00:00", "exception": false, "start_time": "2026-05-16T13:49:57.877834+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Combining potentials\n", "\n", "Potentials can be combined using the `+` operator. `MWPotential2014` is a built-in\n", "composite potential with three components:" ] }, { "cell_type": "code", "execution_count": 7, "id": "b118ea5561624da68c537baed56e602f", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:49:57.894806Z", "iopub.status.busy": "2026-05-16T13:49:57.894548Z", "iopub.status.idle": "2026-05-16T13:49:57.898856Z", "shell.execute_reply": "2026-05-16T13:49:57.897810Z" }, "papermill": { "duration": 0.01128, "end_time": "2026-05-16T13:49:57.899529+00:00", "exception": false, "start_time": "2026-05-16T13:49:57.888249+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CompositePotential of 3 potentials:\n", "\tPowerSphericalPotentialwCutoff with internal parameters: amp=0.029994597188218296, alpha=1.8, rc=0.2375\n", "\tMiyamotoNagaiPotential with internal parameters: amp=0.7574802019371595, a=0.375, b=0.035\n", "\tNFWPotential with internal parameters: amp=4.852230533527998, a=2.0\n", "and physical outputs off\n" ] } ], "source": [ "print(MWPotential2014)" ] }, { "cell_type": "markdown", "id": "b454a60b", "metadata": { "papermill": { "duration": 0.005087, "end_time": "2026-05-16T13:49:57.909971+00:00", "exception": false, "start_time": "2026-05-16T13:49:57.904884+00:00", "status": "completed" }, "tags": [] }, "source": [ "You can also combine potentials yourself using the `+` operator:" ] }, { "cell_type": "code", "execution_count": 8, "id": "938c804e27f84196a10c8828c723f798", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:49:57.921672Z", "iopub.status.busy": "2026-05-16T13:49:57.921482Z", "iopub.status.idle": "2026-05-16T13:49:57.925895Z", "shell.execute_reply": "2026-05-16T13:49:57.924942Z" }, "papermill": { "duration": 0.011191, "end_time": "2026-05-16T13:49:57.926567+00:00", "exception": false, "start_time": "2026-05-16T13:49:57.915376+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Phi(1,0) = -4.498828040219292\n" ] } ], "source": [ "# You can also combine potentials yourself\n", "my_pot = MiyamotoNagaiPotential(a=0.5, b=0.0375, normalize=0.6) + NFWPotential(\n", " a=4.5, normalize=0.35\n", ")\n", "print(\"Phi(1,0) =\", my_pot(1.0, 0.0))" ] }, { "cell_type": "markdown", "id": "39789e1f", "metadata": { "papermill": { "duration": 0.005268, "end_time": "2026-05-16T13:49:57.937453+00:00", "exception": false, "start_time": "2026-05-16T13:49:57.932185+00:00", "status": "completed" }, "tags": [] }, "source": [ "
\n", "\n", "**Tip**\n", "\n", "To simply adjust the amplitude of a Potential instance, you can multiply the\n", "instance by a number or divide it by a number. For example,\n", "`pot = 2. * LogarithmicHaloPotential(amp=1.)` is equivalent to\n", "`pot = LogarithmicHaloPotential(amp=2.)`. This is useful if you want to quickly\n", "adjust the mass of a potential.\n", "\n", "
" ] }, { "cell_type": "markdown", "id": "504fb2a444614c0babb325280ed9130a", "metadata": { "papermill": { "duration": 0.005166, "end_time": "2026-05-16T13:49:57.948016+00:00", "exception": false, "start_time": "2026-05-16T13:49:57.942850+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Physical units\n", "\n", "The easiest way to work with physical units in galpy is to initialize potentials with\n", "the `ro=` and `vo=` parameters. When these are set, output is automatically returned\n", "in physical units. You can toggle this behavior with `use_physical=True/False` or\n", "with the `turn_physical_on()` and `turn_physical_off()` methods." ] }, { "cell_type": "code", "execution_count": 9, "id": "59bbdb311c014d738909a11f9e486628", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:49:57.960077Z", "iopub.status.busy": "2026-05-16T13:49:57.959823Z", "iopub.status.idle": "2026-05-16T13:49:57.971503Z", "shell.execute_reply": "2026-05-16T13:49:57.970410Z" }, "papermill": { "duration": 0.01862, "end_time": "2026-05-16T13:49:57.972159+00:00", "exception": false, "start_time": "2026-05-16T13:49:57.953539+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "v_circ(R=8 kpc): 220.0 km/s\n", "F_R(R=8 kpc): -6.187408598526455 km/s/Myr\n", "\n", "F_R (natural units): -1.0\n", "F_R after turn_physical_off: -1.0\n" ] } ], "source": [ "# Initialize MWPotential2014 with physical scales\n", "ro, vo = 8.0, 220.0 # kpc, km/s\n", "MWPotential2014.turn_physical_on(ro=ro, vo=vo)\n", "\n", "# Now output is automatically in physical units\n", "print(\"v_circ(R=8 kpc):\", MWPotential2014.vcirc(1.0), \"km/s\")\n", "print(\"F_R(R=8 kpc):\", potential.evaluateRforces(MWPotential2014, 1.0, 0.0), \"km/s/Myr\")\n", "\n", "# Toggle physical output off temporarily with use_physical=False\n", "print(\n", " \"\\nF_R (natural units):\",\n", " potential.evaluateRforces(MWPotential2014, 1.0, 0.0, use_physical=False),\n", ")\n", "\n", "# Or turn it off entirely\n", "MWPotential2014.turn_physical_off()\n", "print(\n", " \"F_R after turn_physical_off:\", potential.evaluateRforces(MWPotential2014, 1.0, 0.0)\n", ")" ] }, { "cell_type": "markdown", "id": "c43dbd17", "metadata": { "papermill": { "duration": 0.005348, "end_time": "2026-05-16T13:49:57.983041+00:00", "exception": false, "start_time": "2026-05-16T13:49:57.977693+00:00", "status": "completed" }, "tags": [] }, "source": [ "Alternatively, you can use the `galpy.util.conversion` module to manually convert\n", "from natural units to physical units. This is useful when you want to keep potentials\n", "in natural units but occasionally need a physical value:" ] }, { "cell_type": "code", "execution_count": 10, "id": "da6bed1f", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:49:57.994861Z", "iopub.status.busy": "2026-05-16T13:49:57.994646Z", "iopub.status.idle": "2026-05-16T13:49:57.998944Z", "shell.execute_reply": "2026-05-16T13:49:57.998023Z" }, "papermill": { "duration": 0.011224, "end_time": "2026-05-16T13:49:57.999681+00:00", "exception": false, "start_time": "2026-05-16T13:49:57.988457+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "F_R at solar position: -1.0000 (natural), -6.1874 km/s/Myr (physical)\n" ] } ], "source": [ "# Manual conversion using galpy.util.conversion\n", "F_R_nat = potential.evaluateRforces(MWPotential2014, 1.0, 0.0)\n", "F_R_phys = F_R_nat * conversion.force_in_kmsMyr(vo, ro)\n", "print(\n", " f\"F_R at solar position: {F_R_nat:.4f} (natural), {F_R_phys:.4f} km/s/Myr (physical)\"\n", ")" ] }, { "cell_type": "markdown", "id": "b43b363d81ae4b689946ece5c682cd59", "metadata": { "papermill": { "duration": 0.005311, "end_time": "2026-05-16T13:49:58.010665+00:00", "exception": false, "start_time": "2026-05-16T13:49:58.005354+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Densities\n", "\n", "You can evaluate the density directly or via the Poisson equation:" ] }, { "cell_type": "code", "execution_count": 11, "id": "8a65eabff63a45729fe45fb5ade58bdc", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:49:58.022571Z", "iopub.status.busy": "2026-05-16T13:49:58.022377Z", "iopub.status.idle": "2026-05-16T13:49:58.026422Z", "shell.execute_reply": "2026-05-16T13:49:58.025569Z" }, "papermill": { "duration": 0.011187, "end_time": "2026-05-16T13:49:58.027246+00:00", "exception": false, "start_time": "2026-05-16T13:49:58.016059+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Density (direct): 1.1145444383277576\n", "Density (Poisson): 1.1145444383277574\n" ] } ], "source": [ "# Direct density evaluation\n", "print(\"Density (direct):\", mp.dens(1.0, 0.0))\n", "# Via the Poisson equation\n", "print(\"Density (Poisson):\", mp.dens(1.0, 0.0, forcepoisson=True))" ] }, { "cell_type": "markdown", "id": "be42db2b", "metadata": { "papermill": { "duration": 0.005444, "end_time": "2026-05-16T13:49:58.038232+00:00", "exception": false, "start_time": "2026-05-16T13:49:58.032788+00:00", "status": "completed" }, "tags": [] }, "source": [ "The functional interface also works for densities of combinations of potentials, and so does\n", "the method version:" ] }, { "cell_type": "code", "execution_count": 12, "id": "c3933fab20d04ec698c2621248eb3be0", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:49:58.050011Z", "iopub.status.busy": "2026-05-16T13:49:58.049844Z", "iopub.status.idle": "2026-05-16T13:49:58.053297Z", "shell.execute_reply": "2026-05-16T13:49:58.052356Z" }, "papermill": { "duration": 0.010179, "end_time": "2026-05-16T13:49:58.053904+00:00", "exception": false, "start_time": "2026-05-16T13:49:58.043725+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "MWPotential2014 density at (1,0): 0.5750860312226487\n" ] } ], "source": [ "print(\n", " \"MWPotential2014 density at (1,0):\",\n", " potential.evaluateDensities(MWPotential2014, 1.0, 0.0),\n", ")" ] }, { "cell_type": "code", "execution_count": 13, "id": "1b946c6b", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:49:58.065932Z", "iopub.status.busy": "2026-05-16T13:49:58.065732Z", "iopub.status.idle": "2026-05-16T13:49:58.070338Z", "shell.execute_reply": "2026-05-16T13:49:58.069637Z" }, "papermill": { "duration": 0.011746, "end_time": "2026-05-16T13:49:58.071300+00:00", "exception": false, "start_time": "2026-05-16T13:49:58.059554+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "text/latex": [ "$0.10112001 \\; \\mathrm{\\frac{M_{\\odot}}{pc^{3}}}$" ], "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "MWPotential2014.dens(1.0, 0.0, ro=8.0, vo=220.0, use_physical=True, quantity=True)" ] }, { "cell_type": "markdown", "id": "f22e8533", "metadata": { "papermill": { "duration": 0.005422, "end_time": "2026-05-16T13:49:58.082333+00:00", "exception": false, "start_time": "2026-05-16T13:49:58.076911+00:00", "status": "completed" }, "tags": [] }, "source": [ "## DoubleExponentialDiskPotential density\n", "\n", "Another example: an exponential disk potential, where we can compare the\n", "analytical density to that computed via the Poisson equation and we plot the density." ] }, { "cell_type": "code", "execution_count": 14, "id": "e97454cf", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:49:58.094408Z", "iopub.status.busy": "2026-05-16T13:49:58.094244Z", "iopub.status.idle": "2026-05-16T13:49:58.527484Z", "shell.execute_reply": "2026-05-16T13:49:58.526520Z" }, "papermill": { "duration": 0.440121, "end_time": "2026-05-16T13:49:58.528178+00:00", "exception": false, "start_time": "2026-05-16T13:49:58.088057+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Relative difference: 1.5308327107952697e-14\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from galpy.potential import DoubleExponentialDiskPotential\n", "\n", "dp = DoubleExponentialDiskPotential(hr=1.0 / 4.0, hz=1.0 / 20.0, normalize=1.0)\n", "# The Poisson-equation density requires numerical integration, so the agreement\n", "# is slightly less good than for Miyamoto-Nagai, but still better than a percent:\n", "print(\n", " \"Relative difference:\",\n", " (dp.dens(1.0, 0.0, forcepoisson=True) - dp.dens(1.0, 0.0)) / dp.dens(1.0, 0.0),\n", ")\n", "dp.plotDensity(rmin=0.1, zmax=0.25, zmin=-0.25, nrs=101, nzs=101);" ] }, { "cell_type": "markdown", "id": "48356ca2", "metadata": { "papermill": { "duration": 0.005652, "end_time": "2026-05-16T13:49:58.539878+00:00", "exception": false, "start_time": "2026-05-16T13:49:58.534226+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Flattening\n", "\n", "We can evaluate the flattening of the potential as $\\sqrt{|z\\,F_R / R\\,F_Z|}$:" ] }, { "cell_type": "code", "execution_count": 15, "id": "60b3d4e4", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:49:58.552394Z", "iopub.status.busy": "2026-05-16T13:49:58.552198Z", "iopub.status.idle": "2026-05-16T13:49:58.556182Z", "shell.execute_reply": "2026-05-16T13:49:58.555309Z" }, "papermill": { "duration": 0.011358, "end_time": "2026-05-16T13:49:58.556997+00:00", "exception": false, "start_time": "2026-05-16T13:49:58.545639+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Flattening of Miyamoto-Nagai at (1, 0.125): 0.4549542914935209\n", "Flattening of MWPotential2014 at (1, 0.125): 0.6123167530565863\n" ] } ], "source": [ "print(\"Flattening of Miyamoto-Nagai at (1, 0.125):\", mp.flattening(1.0, 0.125))\n", "print(\n", " \"Flattening of MWPotential2014 at (1, 0.125):\",\n", " MWPotential2014.flattening(1.0, 0.125),\n", ")" ] }, { "cell_type": "markdown", "id": "4dd4641cc4064e0191573fe9c69df29b", "metadata": { "papermill": { "duration": 0.005619, "end_time": "2026-05-16T13:49:58.568511+00:00", "exception": false, "start_time": "2026-05-16T13:49:58.562892+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Plotting potentials\n", "\n", "galpy potentials have built-in plotting methods:" ] }, { "cell_type": "code", "execution_count": 16, "id": "8309879909854d7188b41380fd92a7c3", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:49:58.581142Z", "iopub.status.busy": "2026-05-16T13:49:58.580922Z", "iopub.status.idle": "2026-05-16T13:49:58.881905Z", "shell.execute_reply": "2026-05-16T13:49:58.880517Z" }, "papermill": { "duration": 0.308268, "end_time": "2026-05-16T13:49:58.882622+00:00", "exception": false, "start_time": "2026-05-16T13:49:58.574354+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the potential in the (R, z) plane\n", "mp.plot(rmin=0.01, rmax=3.0, zmin=-0.5, zmax=0.5, nrs=50, nzs=50);" ] }, { "cell_type": "markdown", "id": "d6ee5a33", "metadata": { "papermill": { "duration": 0.005967, "end_time": "2026-05-16T13:49:58.895013+00:00", "exception": false, "start_time": "2026-05-16T13:49:58.889046+00:00", "status": "completed" }, "tags": [] }, "source": [ "We can also plot the density of a composite potential like `MWPotential2014`:" ] }, { "cell_type": "code", "execution_count": 17, "id": "3ed186c9a28b402fb0bc4494df01f08d", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:49:58.908168Z", "iopub.status.busy": "2026-05-16T13:49:58.907952Z", "iopub.status.idle": "2026-05-16T13:49:59.186300Z", "shell.execute_reply": "2026-05-16T13:49:59.185318Z" }, "papermill": { "duration": 0.2862, "end_time": "2026-05-16T13:49:59.187350+00:00", "exception": false, "start_time": "2026-05-16T13:49:58.901150+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the density\n", "potential.plotDensities(\n", " MWPotential2014, rmin=0.1, rmax=3.0, zmin=-0.5, zmax=0.5, nrs=50, nzs=50, log=True\n", ");" ] }, { "cell_type": "markdown", "id": "cc615954", "metadata": { "papermill": { "duration": 0.006764, "end_time": "2026-05-16T13:49:59.201303+00:00", "exception": false, "start_time": "2026-05-16T13:49:59.194539+00:00", "status": "completed" }, "tags": [] }, "source": [ "For non-axisymmetric potentials, we can plot the density in the x-y plane using `xy=True`:" ] }, { "cell_type": "code", "execution_count": 18, "id": "fa76b0b9", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:49:59.216001Z", "iopub.status.busy": "2026-05-16T13:49:59.215771Z", "iopub.status.idle": "2026-05-16T13:49:59.805656Z", "shell.execute_reply": "2026-05-16T13:49:59.804679Z" }, "papermill": { "duration": 0.598575, "end_time": "2026-05-16T13:49:59.806706+00:00", "exception": false, "start_time": "2026-05-16T13:49:59.208131+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from galpy.potential import SpiralArmsPotential\n", "\n", "sp = SpiralArmsPotential(amp=0.6)\n", "lp = LogarithmicHaloPotential(normalize=1.0)\n", "potential.plotDensities(\n", " sp + lp, rmin=-2.0, rmax=2.0, zmin=-2.0, zmax=2.0, nrs=50, nzs=50, log=True, xy=True\n", ")\n", "plt.gca().set_aspect(\"equal\");" ] }, { "cell_type": "markdown", "id": "cb1e1581032b452c9409d6c6813c49d1", "metadata": { "papermill": { "duration": 0.007072, "end_time": "2026-05-16T13:49:59.821771+00:00", "exception": false, "start_time": "2026-05-16T13:49:59.814699+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Circular-orbit quantities\n", "\n", "galpy can compute the circular velocity, epicycle frequency, vertical frequency,\n", "and angular frequency:" ] }, { "cell_type": "code", "execution_count": 19, "id": "379cbbc1e968416e875cc15c1202d7eb", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:49:59.836997Z", "iopub.status.busy": "2026-05-16T13:49:59.836783Z", "iopub.status.idle": "2026-05-16T13:49:59.841631Z", "shell.execute_reply": "2026-05-16T13:49:59.840740Z" }, "papermill": { "duration": 0.013436, "end_time": "2026-05-16T13:49:59.842301+00:00", "exception": false, "start_time": "2026-05-16T13:49:59.828865+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "v_circ(R=1): 1.0\n", "Omega_c(R=1): 1.0\n", "Epicycle freq(R=1): 1.340959647011537\n", "Vertical freq(R=1): 2.7255405754769875\n" ] } ], "source": [ "print(\"v_circ(R=1):\", MWPotential2014.vcirc(1.0))\n", "print(\"Omega_c(R=1):\", MWPotential2014.omegac(1.0))\n", "print(\"Epicycle freq(R=1):\", MWPotential2014.epifreq(1.0))\n", "print(\"Vertical freq(R=1):\", MWPotential2014.verticalfreq(1.0))" ] }, { "cell_type": "markdown", "id": "7b50000d", "metadata": { "papermill": { "duration": 0.007025, "end_time": "2026-05-16T13:49:59.856561+00:00", "exception": false, "start_time": "2026-05-16T13:49:59.849536+00:00", "status": "completed" }, "tags": [] }, "source": [ "Let's plot the rotation curve of `MWPotential2014`:" ] }, { "cell_type": "code", "execution_count": 20, "id": "277c27b1587741f2af2001be3712ef0d", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:49:59.871816Z", "iopub.status.busy": "2026-05-16T13:49:59.871529Z", "iopub.status.idle": "2026-05-16T13:50:00.014341Z", "shell.execute_reply": "2026-05-16T13:50:00.013198Z" }, "papermill": { "duration": 0.151371, "end_time": "2026-05-16T13:50:00.015062+00:00", "exception": false, "start_time": "2026-05-16T13:49:59.863691+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the rotation curve\n", "Rs = numpy.linspace(0.01, 3.0, 101)\n", "plt.plot(Rs * 8, [MWPotential2014.vcirc(R, ro=8.0, vo=220.0) for R in Rs])\n", "plt.xlabel(r\"$R\\,(\\mathrm{kpc})$\")\n", "plt.ylabel(r\"$v_c\\,(\\mathrm{km\\,s}^{-1})$\")\n", "plt.title(\"Rotation curve of MWPotential2014\");" ] }, { "cell_type": "markdown", "id": "abc43b88", "metadata": { "papermill": { "duration": 0.007685, "end_time": "2026-05-16T13:50:00.030842+00:00", "exception": false, "start_time": "2026-05-16T13:50:00.023157+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Spiral density wave diagram: $\\Omega - n\\kappa/m$\n", "\n", "As an application of the above, we can compute the diagram of $\\Omega - n\\kappa/m$, which is important for understanding kinematic\n", "spiral density waves. It shows the locations of various resonances." ] }, { "cell_type": "code", "execution_count": 21, "id": "d10a14b5", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:50:00.047000Z", "iopub.status.busy": "2026-05-16T13:50:00.046775Z", "iopub.status.idle": "2026-05-16T13:50:00.197797Z", "shell.execute_reply": "2026-05-16T13:50:00.196535Z" }, "papermill": { "duration": 0.160052, "end_time": "2026-05-16T13:50:00.198465+00:00", "exception": false, "start_time": "2026-05-16T13:50:00.038413+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def OmegaMinusKappa(pot, Rs, n, m, ro=8.0, vo=220.0):\n", " return pot.omegac(Rs / ro, ro=ro, vo=vo) - n / m * pot.epifreq(\n", " Rs / ro, ro=ro, vo=vo\n", " )\n", "\n", "\n", "Rs = numpy.linspace(0.01, 16.0, 101)\n", "plt.plot(Rs, OmegaMinusKappa(MWPotential2014, Rs, 0, 1))\n", "plt.plot(Rs, OmegaMinusKappa(MWPotential2014, Rs, 1, 2))\n", "plt.plot(Rs, OmegaMinusKappa(MWPotential2014, Rs, 1, 1))\n", "plt.plot(Rs, OmegaMinusKappa(MWPotential2014, Rs, 1, -2))\n", "plt.xlim(0.0, 16.0)\n", "plt.ylim(-20.0, 100.0)\n", "plt.xlabel(r\"$R\\,(\\mathrm{kpc})$\")\n", "plt.ylabel(r\"$(\\mathrm{km\\,s}^{-1}\\,\\mathrm{kpc}^{-1})$\")\n", "plt.text(3.0, 21.0, r\"$\\Omega-\\kappa/2$\", size=18.0)\n", "plt.text(5.0, 50.0, r\"$\\Omega$\", size=18.0)\n", "plt.text(7.0, 60.0, r\"$\\Omega+\\kappa/2$\", size=18.0)\n", "plt.text(6.0, -7.0, r\"$\\Omega-\\kappa$\", size=18.0);" ] }, { "cell_type": "markdown", "id": "db7b79bc585a40fcaf58bf750017e135", "metadata": { "papermill": { "duration": 0.007385, "end_time": "2026-05-16T13:50:00.213656+00:00", "exception": false, "start_time": "2026-05-16T13:50:00.206271+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Lindblad resonances\n", "\n", "Find the radius of the inner and outer Lindblad resonances for a given pattern speed:" ] }, { "cell_type": "code", "execution_count": 22, "id": "916684f9a58a4a2aa5f864670399430d", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:50:00.229784Z", "iopub.status.busy": "2026-05-16T13:50:00.229548Z", "iopub.status.idle": "2026-05-16T13:50:00.236686Z", "shell.execute_reply": "2026-05-16T13:50:00.235951Z" }, "papermill": { "duration": 0.016677, "end_time": "2026-05-16T13:50:00.237765+00:00", "exception": false, "start_time": "2026-05-16T13:50:00.221088+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Corotation: 0.6027911166042229\n", "Inner Lindblad resonance (m=2): None\n", "Outer Lindblad resonance (m=-2): 0.9906190683480501\n" ] } ], "source": [ "# Lindblad resonances for a pattern speed similar to the Milky Way's bar\n", "# Using the Miyamoto-Nagai potential for this example:\n", "print(\"Corotation:\", mp.lindbladR(5.0 / 3.0, m=\"corotation\"))\n", "print(\"Inner Lindblad resonance (m=2):\", mp.lindbladR(5.0 / 3.0, m=2))\n", "print(\"Outer Lindblad resonance (m=-2):\", mp.lindbladR(5.0 / 3.0, m=-2))" ] }, { "cell_type": "markdown", "id": "2cd4db9b", "metadata": { "papermill": { "duration": 0.007797, "end_time": "2026-05-16T13:50:00.253417+00:00", "exception": false, "start_time": "2026-05-16T13:50:00.245620+00:00", "status": "completed" }, "tags": [] }, "source": [ "The `None` for `m=2` means there is no inner Lindblad resonance for this potential." ] }, { "cell_type": "markdown", "id": "1671c31a24314836a5b85d7ef7fbf015", "metadata": { "papermill": { "duration": 0.00753, "end_time": "2026-05-16T13:50:00.268880+00:00", "exception": false, "start_time": "2026-05-16T13:50:00.261350+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Interpolated potentials\n", "\n", "For expensive potentials, galpy provides `interpRZPotential` (for axisymmetric potentials)\n", "and `interpSphericalPotential` (for spherical potentials) that pre-compute a grid and\n", "interpolate. `interpSphericalPotential` can be initialized from a function giving the\n", "radial force or from an existing spherical potential. See the\n", "[API documentation](../../reference/potentialinterprz.rst) for full details." ] }, { "cell_type": "code", "execution_count": 23, "id": "33b0902fd34d4ace834912fa1002cf8e", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:50:00.285577Z", "iopub.status.busy": "2026-05-16T13:50:00.285357Z", "iopub.status.idle": "2026-05-16T13:50:00.414659Z", "shell.execute_reply": "2026-05-16T13:50:00.413757Z" }, "papermill": { "duration": 0.139153, "end_time": "2026-05-16T13:50:00.415728+00:00", "exception": false, "start_time": "2026-05-16T13:50:00.276575+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Original: -1.3531320418152721\n", "Interpolated: -1.3531320418152721\n" ] } ], "source": [ "from galpy.potential import interpRZPotential\n", "\n", "# Create an interpolated version of MWPotential2014\n", "ip = interpRZPotential(\n", " RZPot=MWPotential2014,\n", " rgrid=(0.01, 3.0, 51),\n", " zgrid=(0.0, 0.5, 26),\n", " interpPot=True,\n", " interpRforce=True,\n", " interpzforce=True,\n", ")\n", "# Compare\n", "print(\"Original:\", potential.evaluatePotentials(MWPotential2014, 1.0, 0.1))\n", "print(\"Interpolated:\", ip(1.0, 0.1))" ] }, { "cell_type": "markdown", "id": "8528ae73", "metadata": { "papermill": { "duration": 0.007659, "end_time": "2026-05-16T13:50:00.431474+00:00", "exception": false, "start_time": "2026-05-16T13:50:00.423815+00:00", "status": "completed" }, "tags": [] }, "source": [ "These interpolated potentials can be used anywhere a regular potential can be used, and they are much faster to evaluate than the original potential. They are especially useful for orbit integration, where the potential is evaluated many times." ] }, { "cell_type": "markdown", "id": "f6fa52606d8c4a75a9b52967216f8f3f", "metadata": { "papermill": { "duration": 0.007463, "end_time": "2026-05-16T13:50:00.446675+00:00", "exception": false, "start_time": "2026-05-16T13:50:00.439212+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Initializing potentials with physical parameters\n", "\n", "You can initialize potentials directly with physical parameters (e.g., `amp` in\n", "$M_\\odot$, `a` in kpc) by passing `ro=` and `vo=`. When initialized this way,\n", "physical output is turned on automatically. Use `use_physical=False` to get output\n", "in natural units when needed." ] }, { "cell_type": "code", "execution_count": 24, "id": "f5a1fa73e5044315a093ec459c9be902", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:50:00.463250Z", "iopub.status.busy": "2026-05-16T13:50:00.462979Z", "iopub.status.idle": "2026-05-16T13:50:00.467944Z", "shell.execute_reply": "2026-05-16T13:50:00.467145Z" }, "papermill": { "duration": 0.014506, "end_time": "2026-05-16T13:50:00.468809+00:00", "exception": false, "start_time": "2026-05-16T13:50:00.454303+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Phi(R=1, z=0) [physical]: -96354.67477240822 km^2/s^2\n", "Phi(R=1, z=0) [natural]: -1.9907990655456245\n", "Phi(8 kpc, 0 kpc): -96354.67477240822 km^2/s^2\n" ] } ], "source": [ "from astropy import units as u\n", "\n", "# NFW halo with physical parameters -- physical output is on by default\n", "nfw = NFWPotential(mvir=1.0, conc=15.0, ro=8.0, vo=220.0)\n", "\n", "# Output is in physical units (km^2/s^2) automatically\n", "print(\"Phi(R=1, z=0) [physical]:\", nfw(1.0, 0.0), \"km^2/s^2\")\n", "\n", "# Use use_physical=False to get natural units\n", "print(\"Phi(R=1, z=0) [natural]:\", nfw(1.0, 0.0, use_physical=False))\n", "\n", "# You can also pass astropy Quantities directly\n", "print(\"Phi(8 kpc, 0 kpc):\", nfw(8.0 * u.kpc, 0.0 * u.kpc), \"km^2/s^2\")" ] }, { "cell_type": "markdown", "id": "779d369d", "metadata": { "papermill": { "duration": 0.007657, "end_time": "2026-05-16T13:50:00.484415+00:00", "exception": false, "start_time": "2026-05-16T13:50:00.476758+00:00", "status": "completed" }, "tags": [] }, "source": [ "This also works for other potential types, such as `MiyamotoNagaiPotential`:" ] }, { "cell_type": "code", "execution_count": 25, "id": "cdf66aed5cc84ca1b48e60bad68798a8", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:50:00.501334Z", "iopub.status.busy": "2026-05-16T13:50:00.501086Z", "iopub.status.idle": "2026-05-16T13:50:00.507160Z", "shell.execute_reply": "2026-05-16T13:50:00.506152Z" }, "papermill": { "duration": 0.015618, "end_time": "2026-05-16T13:50:00.507959+00:00", "exception": false, "start_time": "2026-05-16T13:50:00.492341+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "v_circ(R=1) [physical]: 145.9185599862874 km/s\n", "v_circ(R=1) [natural]: 0.6632661817558517\n", "\n", "After turn_physical_off:\n", "v_circ(R=1): 0.6632661817558517\n", "\n", "After turn_physical_on:\n", "v_circ(R=1): 145.9185599862874 km/s\n" ] } ], "source": [ "# Miyamoto-Nagai with physical amplitude (amp in Msun, a and b in kpc)\n", "mn_phys = MiyamotoNagaiPotential(\n", " amp=5e10 * u.Msun, a=3.0 * u.kpc, b=0.28 * u.kpc, ro=8.0, vo=220.0\n", ")\n", "print(\"v_circ(R=1) [physical]:\", mn_phys.vcirc(1.0), \"km/s\")\n", "print(\"v_circ(R=1) [natural]:\", mn_phys.vcirc(1.0, use_physical=False))\n", "\n", "# turn_physical_off / turn_physical_on lets you switch the default\n", "mn_phys.turn_physical_off()\n", "print(\"\\nAfter turn_physical_off:\")\n", "print(\"v_circ(R=1):\", mn_phys.vcirc(1.0))\n", "\n", "mn_phys.turn_physical_on(ro=8.0, vo=220.0)\n", "print(\"\\nAfter turn_physical_on:\")\n", "print(\"v_circ(R=1):\", mn_phys.vcirc(1.0), \"km/s\")" ] }, { "cell_type": "markdown", "id": "8c28d9ba", "metadata": { "papermill": { "duration": 0.007649, "end_time": "2026-05-16T13:50:00.523837+00:00", "exception": false, "start_time": "2026-05-16T13:50:00.516188+00:00", "status": "completed" }, "tags": [] }, "source": [ "
\n", "\n", "**Tip**\n", "\n", "The `amp=` parameter has different units for different potentials. Check each potential's documentation to learn what the units are. For example, for a `LogarithmicHaloPotential` the units are velocity squared, while for a `MiyamotoNagaiPotential` they are units of mass. Check each potential's API documentation for the units of `amp=`.\n", "\n", "
\n", "\n", "
\n", "\n", "**Warning**\n", "\n", "When combining potentials with different `ro=` and `vo=` values, unexpected behavior can result. It is best to use the same `ro=` and `vo=` for all potentials in a combination.\n", "\n", "
" ] } ], "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": "3.13.13" }, "papermill": { "default_parameters": {}, "duration": 6.578269, "end_time": "2026-05-16T13:50:01.048045+00:00", "environment_variables": {}, "exception": null, "input_path": "doc/source/tutorials/potentials/introduction.ipynb", "output_path": "doc/source/tutorials/potentials/introduction.ipynb", "parameters": {}, "start_time": "2026-05-16T13:49:54.469776+00:00", "version": "2.7.0" } }, "nbformat": 4, "nbformat_minor": 5 }