{ "cells": [ { "cell_type": "markdown", "id": "c1", "metadata": { "papermill": { "duration": 0.002609, "end_time": "2026-05-16T13:47:55.217593+00:00", "exception": false, "start_time": "2026-05-16T13:47:55.214984+00:00", "status": "completed" }, "tags": [] }, "source": [ "# Adding a New Potential in Python\n", "\n", "galpy makes it straightforward to add new gravitational potentials.\n", "Once implemented, a new potential automatically works with all of galpy's\n", "orbit integration, action-angle, and distribution function machinery.\n", "\n", "The steps are:\n", "\n", "1. Create a class that inherits from `galpy.potential.Potential` for conservative forces or `galpy.potential.DissipativeForce` for dissipative forces (see [below](#Adding-dissipative-forces-to-the-galpy-framework))\n", "2. Implement `__init__` calling `Potential.__init__` or `DissipativeForce.__init__` with appropriate parameters\n", "3. Implement `_evaluate(self, R, z, phi=0., t=0.)` for the potential value (not for dissipative forces)\n", "4. Implement `_Rforce(self, R, z, phi=0., t=0.)` for the radial force\n", "5. Implement `_zforce(self, R, z, phi=0., t=0.)` for the vertical force\n", "6. Implement `_phitorque(self, R, z, phi=0., t=0.)` for the azimuthal torque (if non-axisymmetric)\n", "7. Optionally implement `_dens`, `_R2deriv`, `_z2deriv`, `_Rzderiv`, etc." ] }, { "cell_type": "code", "execution_count": 1, "id": "c2", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:47:55.223309Z", "iopub.status.busy": "2026-05-16T13:47:55.223055Z", "iopub.status.idle": "2026-05-16T13:47:57.599657Z", "shell.execute_reply": "2026-05-16T13:47:57.598721Z" }, "papermill": { "duration": 2.38072, "end_time": "2026-05-16T13:47:57.600509+00:00", "exception": false, "start_time": "2026-05-16T13:47:55.219789+00:00", "status": "completed" }, "tags": [] }, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy\n", "import matplotlib.pyplot as plt\n", "from galpy.potential import Potential\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": "c3", "metadata": { "papermill": { "duration": 0.001947, "end_time": "2026-05-16T13:47:57.604811+00:00", "exception": false, "start_time": "2026-05-16T13:47:57.602864+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Example: a custom softened power-law potential\n", "\n", "Let's implement a softened isothermal-like potential of the form:\n", "\n", "$$\\Phi(R, z) = \\frac{1}{2}\\,v_0^2\\,\\ln(R^2 + z^2 + d^2)$$\n", "\n", "where $v_0$ sets the circular velocity scale and $d$ is a softening length.\n", "This is similar to the logarithmic potential but implemented from scratch\n", "to illustrate the process." ] }, { "cell_type": "code", "execution_count": 2, "id": "c4", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:47:57.609986Z", "iopub.status.busy": "2026-05-16T13:47:57.609653Z", "iopub.status.idle": "2026-05-16T13:47:57.615007Z", "shell.execute_reply": "2026-05-16T13:47:57.614031Z" }, "papermill": { "duration": 0.008817, "end_time": "2026-05-16T13:47:57.615673+00:00", "exception": false, "start_time": "2026-05-16T13:47:57.606856+00:00", "status": "completed" }, "tags": [] }, "outputs": [], "source": [ "class SoftenedLogPotential(Potential):\n", " \"\"\"A softened logarithmic potential: Phi = 0.5 * v0^2 * ln(R^2 + z^2 + d^2).\"\"\"\n", "\n", " def __init__(self, amp=1.0, v0=1.0, d=0.1, ro=None, vo=None):\n", " \"\"\"\n", " Initialize the potential.\n", "\n", " Parameters\n", " ----------\n", " amp : float\n", " Overall amplitude.\n", " v0 : float\n", " Velocity scale (in natural units).\n", " d : float\n", " Softening length (in natural units).\n", " ro, vo : float, optional\n", " Unit conversion parameters.\n", " \"\"\"\n", " Potential.__init__(self, amp=amp, ro=ro, vo=vo)\n", " self._v0 = v0\n", " self._d = d\n", " self._d2 = d**2.0\n", "\n", " def _evaluate(self, R, z, phi=0.0, t=0.0):\n", " return 0.5 * self._v0**2.0 * numpy.log(R**2.0 + z**2.0 + self._d2)\n", "\n", " def _Rforce(self, R, z, phi=0.0, t=0.0):\n", " return -(self._v0**2.0) * R / (R**2.0 + z**2.0 + self._d2)\n", "\n", " def _zforce(self, R, z, phi=0.0, t=0.0):\n", " return -(self._v0**2.0) * z / (R**2.0 + z**2.0 + self._d2)" ] }, { "cell_type": "markdown", "id": "c5", "metadata": { "papermill": { "duration": 0.001934, "end_time": "2026-05-16T13:47:57.619714+00:00", "exception": false, "start_time": "2026-05-16T13:47:57.617780+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Using the new potential\n", "\n", "Our new potential immediately works with galpy's plotting functions,\n", "orbit integration, and other tools." ] }, { "cell_type": "code", "execution_count": 3, "id": "c6", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:47:57.624686Z", "iopub.status.busy": "2026-05-16T13:47:57.624518Z", "iopub.status.idle": "2026-05-16T13:47:57.868004Z", "shell.execute_reply": "2026-05-16T13:47:57.867073Z" }, "papermill": { "duration": 0.247101, "end_time": "2026-05-16T13:47:57.868855+00:00", "exception": false, "start_time": "2026-05-16T13:47:57.621754+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sp = SoftenedLogPotential(v0=1.0, d=0.1)\n", "sp.plotRotcurve(Rrange=[0.01, 5.0], grid=1001);" ] }, { "cell_type": "markdown", "id": "c7", "metadata": { "papermill": { "duration": 0.002135, "end_time": "2026-05-16T13:47:57.873473+00:00", "exception": false, "start_time": "2026-05-16T13:47:57.871338+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Orbit integration with the new potential" ] }, { "cell_type": "code", "execution_count": 4, "id": "c8", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:47:57.878957Z", "iopub.status.busy": "2026-05-16T13:47:57.878741Z", "iopub.status.idle": "2026-05-16T13:47:58.620134Z", "shell.execute_reply": "2026-05-16T13:47:58.619264Z" }, "papermill": { "duration": 0.745397, "end_time": "2026-05-16T13:47:58.621086+00:00", "exception": false, "start_time": "2026-05-16T13:47:57.875689+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "galpyWarning: Cannot use C integration because some of the potentials are not implemented in C (using leapfrog instead)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "o = Orbit([1.0, 0.1, 1.1, 0.0, 0.1])\n", "ts = numpy.linspace(0, 100, 10000)\n", "o.integrate(ts, sp)\n", "o.plot();" ] }, { "cell_type": "markdown", "id": "1ba027a5", "metadata": { "papermill": { "duration": 0.00284, "end_time": "2026-05-16T13:47:58.627207+00:00", "exception": false, "start_time": "2026-05-16T13:47:58.624367+00:00", "status": "completed" }, "tags": [] }, "source": [ "Note the warning message about not being able to use C integration, because the new potential does not have a C implementation. This means that orbit integration will be slower than for built-in potentials, but it will still work correctly." ] }, { "cell_type": "markdown", "id": "c9", "metadata": { "papermill": { "duration": 0.002789, "end_time": "2026-05-16T13:47:58.632954+00:00", "exception": false, "start_time": "2026-05-16T13:47:58.630165+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Using normalize\n", "\n", "The `normalize` keyword can be used to set the circular velocity at R=1 to a\n", "desired value. We can call `normalize()` after initialization." ] }, { "cell_type": "code", "execution_count": 5, "id": "c10", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:47:58.640328Z", "iopub.status.busy": "2026-05-16T13:47:58.640010Z", "iopub.status.idle": "2026-05-16T13:47:58.644328Z", "shell.execute_reply": "2026-05-16T13:47:58.643433Z" }, "papermill": { "duration": 0.008988, "end_time": "2026-05-16T13:47:58.644982+00:00", "exception": false, "start_time": "2026-05-16T13:47:58.635994+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "v_circ at R=1: 1.0\n" ] } ], "source": [ "sp_norm = SoftenedLogPotential(v0=1.0, d=0.1)\n", "sp_norm.normalize(1.0)\n", "print(\"v_circ at R=1:\", sp_norm.vcirc(1.0))" ] }, { "cell_type": "markdown", "id": "c11", "metadata": { "papermill": { "duration": 0.002846, "end_time": "2026-05-16T13:47:58.650920+00:00", "exception": false, "start_time": "2026-05-16T13:47:58.648074+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Physical units with amp_units\n", "\n", "To allow users to specify the amplitude of your potential in physical units\n", "(e.g., solar masses or km/s), add an `amp_units` class attribute. For example,\n", "for a potential whose amplitude has units of velocity squared:\n", "\n", "```python\n", "class MyPotential(Potential):\n", " amp_units = 'velocity2'\n", " ...\n", "```\n", "\n", "Valid options include `'mass'`, `'velocity2'`, `'density'`, and `'surfacedensity'`.\n", "This enables the potential to accept astropy Quantity inputs for the amplitude.\n", "\n", "See the galpy documentation on physical units for full details." ] }, { "cell_type": "markdown", "id": "c12", "metadata": { "papermill": { "duration": 0.003032, "end_time": "2026-05-16T13:47:58.657019+00:00", "exception": false, "start_time": "2026-05-16T13:47:58.653987+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Complete list of implementable methods\n", "\n", "The following methods can be implemented in a custom potential class.\n", "All methods receive `(self, R, z, phi=0., t=0.)` as arguments. The\n", "return values should **not** include the `amp` factor -- galpy handles\n", "multiplication by `amp` automatically.\n", "\n", "**Core methods (recommended minimum):**\n", "\n", "- `_evaluate` -- the potential value $\\Phi(R, z, \\phi, t)$ (without `amp`)\n", "- `_Rforce` -- the radial force $-\\partial\\Phi/\\partial R$\n", "- `_zforce` -- the vertical force $-\\partial\\Phi/\\partial z$\n", "\n", "**Second derivatives:**\n", "\n", "- `_R2deriv` -- $\\partial^2\\Phi/\\partial R^2$\n", "- `_z2deriv` -- $\\partial^2\\Phi/\\partial z^2$\n", "- `_Rzderiv` -- $\\partial^2\\Phi/\\partial R\\,\\partial z$\n", "- `_phi2deriv` -- $\\partial^2\\Phi/\\partial\\phi^2$\n", "- `_Rphideriv` -- $\\partial^2\\Phi/\\partial R\\,\\partial\\phi$\n", "\n", "**Other optional methods:**\n", "\n", "- `_dens` -- the density $\\rho(R, z, \\phi, t)$ (galpy can compute this numerically via Poisson's equation, but an analytical form is faster and more accurate)\n", "- `_mass` -- the enclosed mass\n", "- `_phitorque` -- the azimuthal torque $-\\partial\\Phi/\\partial\\phi$ (required for non-axisymmetric potentials)\n", "\n", "All of these should be implemented without the `amp` factor." ] }, { "cell_type": "markdown", "id": "c4f2112d", "metadata": { "papermill": { "duration": 0.002869, "end_time": "2026-05-16T13:47:58.662908+00:00", "exception": false, "start_time": "2026-05-16T13:47:58.660039+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Automatic numerical derivatives with NumericalPotentialDerivativesMixin\n", "\n", "If you only want to implement `_evaluate`, `_Rforce`, and `_zforce` but still\n", "need second derivatives, you can use\n", "`NumericalPotentialDerivativesMixin`. This mixin automatically computes\n", "`_R2deriv`, `_z2deriv`, `_Rzderiv`, `_phi2deriv`, and `_Rphideriv` numerically\n", "from the forces.\n", "\n", "To use it, inherit from both the mixin and `Potential`:\n", "\n", "```python\n", "from galpy.potential import NumericalPotentialDerivativesMixin\n", "\n", "class MyPotential(NumericalPotentialDerivativesMixin, Potential):\n", " def __init__(self, amp=1., ro=None, vo=None):\n", " Potential.__init__(self, amp=amp, ro=ro, vo=vo)\n", "\n", " def _evaluate(self, R, z, phi=0., t=0.):\n", " ...\n", "\n", " def _Rforce(self, R, z, phi=0., t=0.):\n", " ...\n", "\n", " def _zforce(self, R, z, phi=0., t=0.):\n", " ...\n", "```\n", "\n", "The mixin must appear **before** `Potential` in the inheritance list so its\n", "methods take precedence. The numerical derivatives are computed using finite\n", "differences and are accurate enough for most purposes." ] }, { "cell_type": "markdown", "id": "59927b6d", "metadata": { "papermill": { "duration": 0.00291, "end_time": "2026-05-16T13:47:58.668823+00:00", "exception": false, "start_time": "2026-05-16T13:47:58.665913+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Important class attributes\n", "\n", "Several class attributes control how galpy interacts with your potential:\n", "\n", "- `hasC = True` -- set this if you also provide a C implementation of the potential (for fast orbit integration). See the [Adding a New Potential in C](new_potential_c.rst) tutorial.\n", "- `hasC_dxdv = True` -- set this if the C implementation also supports phase-space derivatives (for variational integration).\n", "- `hasC_dens = True` -- set this if the C implementation includes a density function (required for dynamical friction in this potential).\n", "- `isNonAxi = True` -- set this if the potential is non-axisymmetric (depends on $\\phi$). This is `False` by default.\n", "- `_dim = 3` -- the dimensionality of the potential. The default is 3; set to 2 for planar potentials or 1 for one-dimensional potentials.\n", "\n", "These are set as class attributes or in `__init__`. For example:\n", "\n", "```python\n", "class MyNonAxiPotential(Potential):\n", " isNonAxi = True\n", "\n", " def __init__(self, amp=1., ro=None, vo=None):\n", " Potential.__init__(self, amp=amp, ro=ro, vo=vo)\n", " ...\n", "```" ] }, { "cell_type": "markdown", "id": "3f1ed60f", "metadata": { "papermill": { "duration": 0.002886, "end_time": "2026-05-16T13:47:58.674763+00:00", "exception": false, "start_time": "2026-05-16T13:47:58.671877+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Adding wrapper potentials\n", "\n", "galpy also supports *wrapper potentials* that modify or combine existing\n", "potentials. If you want to create a potential that wraps another potential\n", "(e.g., to make it time-dependent or to apply a spatial transformation),\n", "inherit from `parentWrapperPotential`. This base class automatically\n", "handles both 3D and 2D (planar) wrapping:\n", "\n", "```python\n", "from galpy.potential.WrapperPotential import parentWrapperPotential\n", "\n", "class MyWrapperPotential(parentWrapperPotential):\n", " def __init__(self, amp=1., pot=None, ro=None, vo=None):\n", " parentWrapperPotential.__init__(self, amp=amp, pot=pot, ro=ro, vo=vo)\n", " ...\n", "```\n", "\n", "The wrapped potential is available as `self._pot` inside your methods. See\n", "the existing wrapper potentials (e.g., `DehnenSmoothWrapperPotential`,\n", "`SolidBodyRotationWrapperPotential`) in the galpy source for examples of\n", "how to implement these." ] }, { "cell_type": "markdown", "id": "18cae2b5", "metadata": { "papermill": { "duration": 0.0029, "end_time": "2026-05-16T13:47:58.680690+00:00", "exception": false, "start_time": "2026-05-16T13:47:58.677790+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Adding dissipative forces to the galpy framework\n", "\n", "Dissipative (velocity-dependent) forces are implemented similarly to\n", "conservative potentials, but inherit from `galpy.potential.DissipativeForce`\n", "instead of `galpy.potential.Potential`. The main differences are:\n", "\n", "1. You only need to implement the **forces** (not `_evaluate`, since there is no potential energy for a dissipative force).\n", "2. The force methods take an extra keyword argument `v=` that gives the current velocity in cylindrical coordinates as a list `[vR, vT, vz]`, because dissipative forces generally depend on the velocity.\n", "\n", "The steps are:\n", "\n", "1. Create a class that inherits from `DissipativeForce`.\n", "2. In `__init__`, call `DissipativeForce.__init__(self, amp=amp, ro=ro, vo=vo, amp_units=...)` to set up the amplitude and unit system.\n", "3. Implement the following force methods, each accepting `v=None` as a keyword:\n", " - `_Rforce(self, R, z, phi=0., t=0., v=None)` -- the radial force\n", " - `_phitorque(self, R, z, phi=0., t=0., v=None)` -- the azimuthal torque\n", " - `_zforce(self, R, z, phi=0., t=0., v=None)` -- the vertical force\n", "\n", "The `v` argument is a list `[vR, vT, vz]` in cylindrical coordinates. As for\n", "conservative potentials, the return values should **not** include the `amp`\n", "factor.\n", "\n", "The built-in `ChandrasekharDynamicalFrictionForce` provides a good template\n", "to follow. There is currently no support for implementing dissipative forces\n", "in C.\n", "\n", "For a complete worked example of adding a custom velocity-dependent force --\n", "implementing Schwarzschild precession to model the relativistic orbit of the\n", "S2 star around Sgr A* -- see the\n", "[Dissipative Forces](../potentials/dissipative.ipynb#Example:-Schwarzschild-precession-of-the-S2-orbit-around-Sgr-A*)\n", "tutorial." ] } ], "metadata": { "kernelspec": { "display_name": "py313", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.13.13" }, "papermill": { "default_parameters": {}, "duration": 4.965616, "end_time": "2026-05-16T13:47:59.300065+00:00", "environment_variables": {}, "exception": null, "input_path": "doc/source/tutorials/extending/new_potential_python.ipynb", "output_path": "doc/source/tutorials/extending/new_potential_python.ipynb", "parameters": {}, "start_time": "2026-05-16T13:47:54.334449+00:00", "version": "2.7.0" } }, "nbformat": 4, "nbformat_minor": 5 }