{ "cells": [ { "cell_type": "markdown", "id": "7fb27b941602401d91542211134fc71a", "metadata": { "papermill": { "duration": 0.002821, "end_time": "2026-05-16T13:57:53.448254+00:00", "exception": false, "start_time": "2026-05-16T13:57:53.445433+00:00", "status": "completed" }, "tags": [] }, "source": [ "# Potential Wrappers\n", "\n", "galpy's wrapper potentials modify existing potentials by adding time dependence,\n", "rotation, tilting, or amplitude modulation. This notebook demonstrates the most\n", "commonly used wrappers.\n", "\n", "For basic potential usage, see the [Introduction to Potentials](introduction.ipynb)." ] }, { "cell_type": "code", "execution_count": 1, "id": "acae54e37e7d407bbb7b55eff062a284", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:57:53.454461Z", "iopub.status.busy": "2026-05-16T13:57:53.454242Z", "iopub.status.idle": "2026-05-16T13:57:55.807852Z", "shell.execute_reply": "2026-05-16T13:57:55.806578Z" }, "papermill": { "duration": 2.357582, "end_time": "2026-05-16T13:57:55.808553+00:00", "exception": false, "start_time": "2026-05-16T13:57:53.450971+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", " MWPotential2014,\n", " SoftenedNeedleBarPotential,\n", " DehnenSmoothWrapperPotential,\n", " SolidBodyRotationWrapperPotential,\n", " RotateAndTiltWrapperPotential,\n", " GaussianAmplitudeWrapperPotential,\n", " TimeDependentAmplitudeWrapperPotential,\n", " LogarithmicHaloPotential,\n", " MiyamotoNagaiPotential,\n", ")\n", "from galpy.orbit import Orbit\n", "import warnings\n", "\n", "warnings.filterwarnings(\"ignore\", category=RuntimeWarning)\n", "warnings.filterwarnings(\"ignore\", category=UserWarning)" ] }, { "cell_type": "markdown", "id": "9a63283cbaf04dbcab1f6479b197f3a8", "metadata": { "papermill": { "duration": 0.002131, "end_time": "2026-05-16T13:57:55.813298+00:00", "exception": false, "start_time": "2026-05-16T13:57:55.811167+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Growing a bar with DehnenSmoothWrapperPotential\n", "\n", "A common use case is to smoothly grow a bar potential over some time period.\n", "`DehnenSmoothWrapperPotential` multiplies a potential by a smooth function that\n", "transitions from 0 to 1. This can be used to smoothly grow any potential from zero to its full amplitude. Use `decay=True` to instead smoothly turn a potential off." ] }, { "cell_type": "code", "execution_count": 2, "id": "8dd0d8092fe74a7c96281538738b07e2", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:57:55.818787Z", "iopub.status.busy": "2026-05-16T13:57:55.818454Z", "iopub.status.idle": "2026-05-16T13:57:55.998682Z", "shell.execute_reply": "2026-05-16T13:57:55.997635Z" }, "papermill": { "duration": 0.183854, "end_time": "2026-05-16T13:57:55.999430+00:00", "exception": false, "start_time": "2026-05-16T13:57:55.815576+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create a bar potential (SoftenedNeedleBarPotential does not have built-in smoothing)\n", "bar = SoftenedNeedleBarPotential(normalize=0.05, omegab=1.8)\n", "\n", "# Wrap it with a smooth growth function\n", "bar_grown = DehnenSmoothWrapperPotential(pot=bar, tform=-6.0, tsteady=6.0)\n", "\n", "# Show the amplitude over time\n", "ts = numpy.linspace(-8.0, 3.0, 201)\n", "amps = [bar_grown(1.0, 0.0, phi=0.0, t=t) for t in ts]\n", "plt.plot(ts, amps)\n", "plt.xlabel(r\"$t$\")\n", "plt.ylabel(r\"$\\Phi(R=1, z=0, \\phi=0)$\")\n", "plt.title(\"Bar potential growing over time\");" ] }, { "cell_type": "markdown", "id": "72eea5119410473aa328ad9291626812", "metadata": { "papermill": { "duration": 0.002359, "end_time": "2026-05-16T13:57:56.004509+00:00", "exception": false, "start_time": "2026-05-16T13:57:56.002150+00:00", "status": "completed" }, "tags": [] }, "source": [ "## SolidBodyRotationWrapperPotential\n", "\n", "This wrapper rotates a potential at a constant angular velocity. This is useful\n", "for adding a rotating bar to an axisymmetric background." ] }, { "cell_type": "code", "execution_count": 3, "id": "8edb47106e1a46a883d545849b8ab81b", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:57:56.010660Z", "iopub.status.busy": "2026-05-16T13:57:56.010441Z", "iopub.status.idle": "2026-05-16T13:57:56.164083Z", "shell.execute_reply": "2026-05-16T13:57:56.163073Z" }, "papermill": { "duration": 0.157723, "end_time": "2026-05-16T13:57:56.164780+00:00", "exception": false, "start_time": "2026-05-16T13:57:56.007057+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# A triaxial logarithmic halo potential, made to rotate\n", "lp = LogarithmicHaloPotential(normalize=1.0, b=0.8, q=0.9)\n", "lp_rot = SolidBodyRotationWrapperPotential(pot=lp, omega=1.5)\n", "\n", "# Evaluate at different times to see the rotation\n", "phis = numpy.linspace(0, 2 * numpy.pi, 100)\n", "for t in [0.0, 0.5, 1.0]:\n", " vals = [lp_rot(1.0, 0.0, phi=phi, t=t) for phi in phis]\n", " plt.plot(phis, vals, label=f\"t = {t:.1f}\")\n", "plt.xlabel(r\"$\\phi$\")\n", "plt.ylabel(r\"$\\Phi$\")\n", "plt.legend()\n", "plt.title(\"Rotating potential at different times\");" ] }, { "cell_type": "markdown", "id": "10185d26023b46108eb7d9f57d49d2b3", "metadata": { "papermill": { "duration": 0.002778, "end_time": "2026-05-16T13:57:56.170690+00:00", "exception": false, "start_time": "2026-05-16T13:57:56.167912+00:00", "status": "completed" }, "tags": [] }, "source": [ "## RotateAndTiltWrapperPotential\n", "\n", "This wrapper rotates and tilts a potential with respect to the default\n", "coordinate system. This is useful for, e.g., modeling a tilted dark-matter halo." ] }, { "cell_type": "code", "execution_count": 4, "id": "8763a12b2bbd4a93a75aff182afb95dc", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:57:56.177431Z", "iopub.status.busy": "2026-05-16T13:57:56.177247Z", "iopub.status.idle": "2026-05-16T13:57:56.636876Z", "shell.execute_reply": "2026-05-16T13:57:56.635861Z" }, "papermill": { "duration": 0.464137, "end_time": "2026-05-16T13:57:56.637699+00:00", "exception": false, "start_time": "2026-05-16T13:57:56.173562+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Tilt a flattened logarithmic potential by 30 degrees\n", "lp_flat = LogarithmicHaloPotential(normalize=1.0, q=0.7)\n", "lp_tilted = RotateAndTiltWrapperPotential(\n", " pot=lp_flat, zvec=[0.0, numpy.sin(numpy.pi / 6), numpy.cos(numpy.pi / 6)]\n", ")\n", "\n", "# Compare densities in the (x, z) plane\n", "potential.plotDensities(\n", " lp_tilted,\n", " rmin=0.1,\n", " rmax=2.0,\n", " zmin=-1.0,\n", " zmax=1.0,\n", " nrs=50,\n", " nzs=50,\n", " log=True,\n", " phi=0.2,\n", ");" ] }, { "cell_type": "markdown", "id": "7623eae2785240b9bd12b16a66d81610", "metadata": { "papermill": { "duration": 0.003478, "end_time": "2026-05-16T13:57:56.645044+00:00", "exception": false, "start_time": "2026-05-16T13:57:56.641566+00:00", "status": "completed" }, "tags": [] }, "source": [ "## GaussianAmplitudeWrapperPotential\n", "\n", "Multiplies a potential by a Gaussian in time, useful for transient perturbations:" ] }, { "cell_type": "code", "execution_count": 5, "id": "7cdc8c89c7104fffa095e18ddfef8986", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:57:56.652961Z", "iopub.status.busy": "2026-05-16T13:57:56.652753Z", "iopub.status.idle": "2026-05-16T13:57:56.787439Z", "shell.execute_reply": "2026-05-16T13:57:56.786308Z" }, "papermill": { "duration": 0.139643, "end_time": "2026-05-16T13:57:56.788154+00:00", "exception": false, "start_time": "2026-05-16T13:57:56.648511+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "disk = MiyamotoNagaiPotential(a=0.5, b=0.0375, normalize=0.1)\n", "transient = GaussianAmplitudeWrapperPotential(pot=disk, to=0.0, sigma=0.5)\n", "\n", "ts = numpy.linspace(-2.0, 2.0, 201)\n", "amps = [transient(1.0, 0.0, t=t) for t in ts]\n", "plt.plot(ts, amps)\n", "plt.xlabel(r\"$t$\")\n", "plt.ylabel(r\"$\\Phi$\")\n", "plt.title(\"Gaussian amplitude modulation\");" ] }, { "cell_type": "markdown", "id": "b118ea5561624da68c537baed56e602f", "metadata": { "papermill": { "duration": 0.003433, "end_time": "2026-05-16T13:57:56.795440+00:00", "exception": false, "start_time": "2026-05-16T13:57:56.792007+00:00", "status": "completed" }, "tags": [] }, "source": [ "## TimeDependentAmplitudeWrapperPotential\n", "\n", "The fully general `TimeDependentAmplitudeWrapperPotential` can modulate the amplitude\n", "of any potential with an arbitrary function of time. This is useful for creating\n", "custom time-dependent perturbations." ] }, { "cell_type": "code", "execution_count": 6, "id": "938c804e27f84196a10c8828c723f798", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:57:56.803445Z", "iopub.status.busy": "2026-05-16T13:57:56.803264Z", "iopub.status.idle": "2026-05-16T13:57:56.939607Z", "shell.execute_reply": "2026-05-16T13:57:56.938495Z" }, "papermill": { "duration": 0.141339, "end_time": "2026-05-16T13:57:56.940307+00:00", "exception": false, "start_time": "2026-05-16T13:57:56.798968+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Sinusoidal amplitude modulation\n", "disk = MiyamotoNagaiPotential(a=0.5, b=0.0375, normalize=0.1)\n", "oscillating = TimeDependentAmplitudeWrapperPotential(\n", " pot=disk, A=lambda t: 1.0 + 0.5 * numpy.sin(4.0 * numpy.pi * t)\n", ")\n", "\n", "ts = numpy.linspace(0.0, 2.0, 201)\n", "amps = [oscillating(1.0, 0.0, t=t) for t in ts]\n", "plt.plot(ts, amps)\n", "plt.xlabel(r\"$t$\")\n", "plt.ylabel(r\"$\\Phi$\")\n", "plt.title(\"Time-dependent amplitude modulation\");" ] }, { "cell_type": "markdown", "id": "b43b363d81ae4b689946ece5c682cd59", "metadata": { "papermill": { "duration": 0.003893, "end_time": "2026-05-16T13:57:56.948584+00:00", "exception": false, "start_time": "2026-05-16T13:57:56.944691+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Combining wrappers with background potentials\n", "\n", "A typical use case: grow a rotating bar on top of an axisymmetric MW potential\n", "and integrate an orbit:" ] }, { "cell_type": "code", "execution_count": 7, "id": "8a65eabff63a45729fe45fb5ade58bdc", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:57:56.957568Z", "iopub.status.busy": "2026-05-16T13:57:56.957349Z", "iopub.status.idle": "2026-05-16T13:57:57.130507Z", "shell.execute_reply": "2026-05-16T13:57:57.129600Z" }, "papermill": { "duration": 0.178719, "end_time": "2026-05-16T13:57:57.131288+00:00", "exception": false, "start_time": "2026-05-16T13:57:56.952569+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Axisymmetric background\n", "bg = MWPotential2014\n", "\n", "# Bar potential, smoothly grown using DehnenSmoothWrapperPotential\n", "bar = SoftenedNeedleBarPotential(normalize=0.05)\n", "bar_smooth = DehnenSmoothWrapperPotential(pot=bar, tform=-2.0, tsteady=0.5)\n", "\n", "# Make the bar rotate\n", "bar_rotating = SolidBodyRotationWrapperPotential(pot=bar_smooth, omega=1.8)\n", "\n", "# Full potential = background + rotating bar\n", "full_pot = bg + bar_rotating\n", "\n", "# Integrate an orbit\n", "o = Orbit([1.0, 0.1, 1.1, 0.0, 0.05, 0.0])\n", "ts = numpy.linspace(0.0, 10.0, 10001)\n", "o.integrate(ts, full_pot)\n", "o.plot();" ] }, { "cell_type": "markdown", "id": "fc17915d", "metadata": { "papermill": { "duration": 0.004201, "end_time": "2026-05-16T13:57:57.140153+00:00", "exception": false, "start_time": "2026-05-16T13:57:57.135952+00:00", "status": "completed" }, "tags": [] }, "source": [ "
\n", "\n", "**Warning**\n", "\n", "When wrapping a potential that has physical outputs turned on, the wrapper\n", "object inherits the units of the wrapped potential and automatically turns them on,\n", "even when you do not explicitly set `ro=` and `vo=`.\n", "\n", "
" ] }, { "cell_type": "markdown", "id": "364f0d55", "metadata": { "papermill": { "duration": 0.004233, "end_time": "2026-05-16T13:57:57.148711+00:00", "exception": false, "start_time": "2026-05-16T13:57:57.144478+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Wrapping wrappers!\n", "\n", "Wrappers can be applied to other wrappers, allowing you to combine multiple modifications to a potential. For example, you could create a bar that grows and then decays by applying `DehnenSmoothWrapperPotential` twice, once with `decay=False` and once with `decay=True`:" ] }, { "cell_type": "code", "execution_count": 8, "id": "938aa65a", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:57:57.158650Z", "iopub.status.busy": "2026-05-16T13:57:57.158441Z", "iopub.status.idle": "2026-05-16T13:57:57.334993Z", "shell.execute_reply": "2026-05-16T13:57:57.334235Z" }, "papermill": { "duration": 0.18302, "end_time": "2026-05-16T13:57:57.336147+00:00", "exception": false, "start_time": "2026-05-16T13:57:57.153127+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Example: wrap a wrapper to make a bar that grows and later decays\n", "bar_grow = DehnenSmoothWrapperPotential(pot=bar, tform=-6.0, tsteady=3.0, decay=False)\n", "bar_grow_decay = DehnenSmoothWrapperPotential(\n", " pot=bar_grow, tform=1.0, tsteady=3.0, decay=True\n", ")\n", "\n", "ts_pulse = numpy.linspace(-8.0, 8.0, 401)\n", "phi_pulse = [bar_grow_decay(1.0, 0.0, phi=0.0, t=t) for t in ts_pulse]\n", "phi_ref = [bar(1.0, 0.0, phi=0.0, t=t) for t in ts_pulse]\n", "\n", "plt.plot(ts_pulse, phi_pulse, label=\"grown + decayed (double wrapped)\")\n", "plt.plot(ts_pulse, phi_ref, \"--\", label=\"unwrapped bar\")\n", "plt.xlabel(r\"$t$\")\n", "plt.ylabel(r\"$\\Phi(R=1, z=0, \\phi=0)$\")\n", "plt.title(\"Wrapping wrappers: turn-on then turn-off\")\n", "plt.legend();" ] }, { "cell_type": "markdown", "id": "b7abcb99", "metadata": { "papermill": { "duration": 0.004683, "end_time": "2026-05-16T13:57:57.346019+00:00", "exception": false, "start_time": "2026-05-16T13:57:57.341336+00:00", "status": "completed" }, "tags": [] }, "source": [ "or you can make a non-rotating bar grow and then rotate it by applying `DehnenSmoothWrapperPotential` and `SolidBodyRotationWrapperPotential` in either order:" ] }, { "cell_type": "code", "execution_count": 9, "id": "06b44a39", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:57:57.356549Z", "iopub.status.busy": "2026-05-16T13:57:57.356356Z", "iopub.status.idle": "2026-05-16T13:57:57.509316Z", "shell.execute_reply": "2026-05-16T13:57:57.508236Z" }, "papermill": { "duration": 0.15954, "end_time": "2026-05-16T13:57:57.510362+00:00", "exception": false, "start_time": "2026-05-16T13:57:57.350822+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Example: apply smoothing and rotation in either order\n", "bar_static = SoftenedNeedleBarPotential(normalize=0.05, omegab=0.0)\n", "\n", "grow_then_rotate = SolidBodyRotationWrapperPotential(\n", " pot=DehnenSmoothWrapperPotential(pot=bar_static, tform=-4.0, tsteady=2.0),\n", " omega=1.8,\n", ")\n", "rotate_then_grow = DehnenSmoothWrapperPotential(\n", " pot=SolidBodyRotationWrapperPotential(pot=bar_static, omega=1.8),\n", " tform=-4.0,\n", " tsteady=2.0,\n", ")\n", "\n", "ts_compare = numpy.linspace(-6.0, 4.0, 301)\n", "phi_grow_then_rotate = [grow_then_rotate(1.0, 0.0, phi=0.3, t=t) for t in ts_compare]\n", "phi_rotate_then_grow = [rotate_then_grow(1.0, 0.0, phi=0.3, t=t) for t in ts_compare]\n", "\n", "plt.plot(ts_compare, phi_grow_then_rotate, label=\"grow → rotate\")\n", "plt.plot(ts_compare, phi_rotate_then_grow, \"--\", label=\"rotate → grow\")\n", "plt.xlabel(r\"$t$\")\n", "plt.ylabel(r\"$\\Phi(R=1, z=0, \\phi=0.3)$\")\n", "plt.title(\"Wrapper order example\")\n", "plt.legend();" ] } ], "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": 5.56727, "end_time": "2026-05-16T13:57:58.134753+00:00", "environment_variables": {}, "exception": null, "input_path": "doc/source/tutorials/potentials/wrappers.ipynb", "output_path": "doc/source/tutorials/potentials/wrappers.ipynb", "parameters": {}, "start_time": "2026-05-16T13:57:52.567483+00:00", "version": "2.7.0" } }, "nbformat": 4, "nbformat_minor": 5 }