{ "cells": [ { "cell_type": "markdown", "id": "c1", "metadata": { "papermill": { "duration": 0.002782, "end_time": "2026-06-30T01:14:38.121862+00:00", "exception": false, "start_time": "2026-06-30T01:14:38.119080+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": "2026-06-30T01:14:38.128184Z", "iopub.status.busy": "2026-06-30T01:14:38.127980Z", "iopub.status.idle": "2026-06-30T01:14:40.418047Z", "shell.execute_reply": "2026-06-30T01:14:40.417027Z" }, "papermill": { "duration": 2.294238, "end_time": "2026-06-30T01:14:40.418760+00:00", "exception": false, "start_time": "2026-06-30T01:14:38.124522+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": 0.001771, "end_time": "2026-06-30T01:14:40.422654+00:00", "exception": false, "start_time": "2026-06-30T01:14:40.420883+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": "2026-06-30T01:14:40.427723Z", "iopub.status.busy": "2026-06-30T01:14:40.427309Z", "iopub.status.idle": "2026-06-30T01:14:40.432817Z", "shell.execute_reply": "2026-06-30T01:14:40.431999Z" }, "papermill": { "duration": 0.009096, "end_time": "2026-06-30T01:14:40.433620+00:00", "exception": false, "start_time": "2026-06-30T01:14:40.424524+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": 0.001707, "end_time": "2026-06-30T01:14:40.437370+00:00", "exception": false, "start_time": "2026-06-30T01:14:40.435663+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": "2026-06-30T01:14:40.442048Z", "iopub.status.busy": "2026-06-30T01:14:40.441853Z", "iopub.status.idle": "2026-06-30T01:14:40.779941Z", "shell.execute_reply": "2026-06-30T01:14:40.778894Z" }, "papermill": { "duration": 0.341304, "end_time": "2026-06-30T01:14:40.780556+00:00", "exception": false, "start_time": "2026-06-30T01:14:40.439252+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": 0.001897, "end_time": "2026-06-30T01:14:40.784641+00:00", "exception": false, "start_time": "2026-06-30T01:14:40.782744+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": "2026-06-30T01:14:40.789570Z", "iopub.status.busy": "2026-06-30T01:14:40.789374Z", "iopub.status.idle": "2026-06-30T01:14:41.393338Z", "shell.execute_reply": "2026-06-30T01:14:41.392479Z" }, "papermill": { "duration": 0.608025, "end_time": "2026-06-30T01:14:41.394594+00:00", "exception": false, "start_time": "2026-06-30T01:14:40.786569+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": 0.00274, "end_time": "2026-06-30T01:14:41.400916+00:00", "exception": false, "start_time": "2026-06-30T01:14:41.398176+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": 0.002457, "end_time": "2026-06-30T01:14:41.406009+00:00", "exception": false, "start_time": "2026-06-30T01:14:41.403552+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": "2026-06-30T01:14:41.415212Z", "iopub.status.busy": "2026-06-30T01:14:41.415006Z", "iopub.status.idle": "2026-06-30T01:14:41.418864Z", "shell.execute_reply": "2026-06-30T01:14:41.418086Z" }, "papermill": { "duration": 0.010969, "end_time": "2026-06-30T01:14:41.419590+00:00", "exception": false, "start_time": "2026-06-30T01:14:41.408621+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": 0.002602, "end_time": "2026-06-30T01:14:41.425064+00:00", "exception": false, "start_time": "2026-06-30T01:14:41.422462+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": 0.00257, "end_time": "2026-06-30T01:14:41.430388+00:00", "exception": false, "start_time": "2026-06-30T01:14:41.427818+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": 0.002579, "end_time": "2026-06-30T01:14:41.435629+00:00", "exception": false, "start_time": "2026-06-30T01:14:41.433050+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": 0.002549, "end_time": "2026-06-30T01:14:41.440897+00:00", "exception": false, "start_time": "2026-06-30T01:14:41.438348+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": 0.002504, "end_time": "2026-06-30T01:14:41.446086+00:00", "exception": false, "start_time": "2026-06-30T01:14:41.443582+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": 0.002518, "end_time": "2026-06-30T01:14:41.451249+00:00", "exception": false, "start_time": "2026-06-30T01:14:41.448731+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": "3.13.14" }, "papermill": { "default_parameters": {}, "duration": 4.908325, "end_time": "2026-06-30T01:14:42.171024+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": "2026-06-30T01:14:37.262699+00:00", "version": "2.7.0" } }, "nbformat": 4, "nbformat_minor": 5 }