{ "cells": [ { "cell_type": "markdown", "id": "a1b2c3d4e5f6", "metadata": { "papermill": { "duration": 0.004996, "end_time": "2026-05-16T13:40:41.032029+00:00", "exception": false, "start_time": "2026-05-16T13:40:41.027033+00:00", "status": "completed" }, "tags": [] }, "source": [ "# Action-Angle Coordinates: Staeckel Approximation\n", "\n", "The Staeckel approximation (`actionAngleStaeckel`) is the most accurate general\n", "method for computing actions in axisymmetric potentials. It works by locally\n", "approximating the potential as a Staeckel potential (separable in confocal\n", "ellipsoidal coordinates), following the algorithm of\n", "[Binney (2012)](http://adsabs.harvard.edu/abs/2012MNRAS.426.1324B).\n", "\n", "For all intents and purposes, the Staeckel approximation makes the\n", "[adiabatic approximation](adiabatic.ipynb) obsolete: it is as fast and more precise. The only\n", "additional requirement is that the user must specify a *focal length* $\\Delta$, but this\n", "can be easily estimated from the potential.\n", "\n", "For an introduction to action-angle coordinates and simpler methods, see\n", "the [Introduction](introduction.ipynb). For the orbit-integration-based method\n", "that works for highly eccentric orbits, see [IsochroneApprox](isochroneapprox.ipynb)." ] }, { "cell_type": "code", "execution_count": 1, "id": "b2c3d4e5f6a7", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:40:41.041676Z", "iopub.status.busy": "2026-05-16T13:40:41.041430Z", "iopub.status.idle": "2026-05-16T13:40:43.425310Z", "shell.execute_reply": "2026-05-16T13:40:43.424141Z" }, "papermill": { "duration": 2.389793, "end_time": "2026-05-16T13:40:43.426164+00:00", "exception": false, "start_time": "2026-05-16T13:40:41.036371+00:00", "status": "completed" }, "tags": [] }, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy\n", "import matplotlib.pyplot as plt\n", "from galpy.potential import MWPotential2014\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": "c3d4e5f6a7b8", "metadata": { "papermill": { "duration": 0.004187, "end_time": "2026-05-16T13:40:43.435054+00:00", "exception": false, "start_time": "2026-05-16T13:40:43.430867+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Setup\n", "\n", "The key parameter is `delta`, the focus of the confocal coordinate system.\n", "You can estimate an appropriate value using `estimateDeltaStaeckel`, which\n", "estimates $\\Delta$ from the second derivatives of the potential\n", "(see [Sanders 2012](http://adsabs.harvard.edu/abs/2012MNRAS.426..128S)):" ] }, { "cell_type": "code", "execution_count": 2, "id": "d4e5f6a7b8c9", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:40:43.445144Z", "iopub.status.busy": "2026-05-16T13:40:43.444719Z", "iopub.status.idle": "2026-05-16T13:40:43.455933Z", "shell.execute_reply": "2026-05-16T13:40:43.455140Z" }, "papermill": { "duration": 0.017386, "end_time": "2026-05-16T13:40:43.456935+00:00", "exception": false, "start_time": "2026-05-16T13:40:43.439549+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Estimated delta: 0.7013326670567281\n" ] } ], "source": [ "from galpy.actionAngle import actionAngleStaeckel, estimateDeltaStaeckel\n", "\n", "# Estimate delta for an orbit near R=1, z=0\n", "delta = estimateDeltaStaeckel(MWPotential2014, 1.0, 0.0)\n", "print(\"Estimated delta:\", delta)" ] }, { "cell_type": "markdown", "id": "e5f6a7b8c9d0", "metadata": { "papermill": { "duration": 0.004303, "end_time": "2026-05-16T13:40:43.465790+00:00", "exception": false, "start_time": "2026-05-16T13:40:43.461487+00:00", "status": "completed" }, "tags": [] }, "source": [ "For more accuracy, you can estimate `delta` along an integrated orbit by\n", "averaging (through the median) estimates at positions around the orbit:" ] }, { "cell_type": "code", "execution_count": 3, "id": "f6a7b8c9d0e1", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:40:43.475731Z", "iopub.status.busy": "2026-05-16T13:40:43.475494Z", "iopub.status.idle": "2026-05-16T13:40:43.757963Z", "shell.execute_reply": "2026-05-16T13:40:43.757047Z" }, "papermill": { "duration": 0.288548, "end_time": "2026-05-16T13:40:43.758774+00:00", "exception": false, "start_time": "2026-05-16T13:40:43.470226+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Delta from orbit: 0.40272708628053305\n" ] } ], "source": [ "o = Orbit([1.0, 0.1, 1.1, 0.0, 0.25, 0.0])\n", "ts = numpy.linspace(0, 100, 1001)\n", "o.integrate(ts, MWPotential2014)\n", "\n", "# Estimate delta from the orbit's R and z range\n", "delta_orbit = estimateDeltaStaeckel(MWPotential2014, o.R(ts), o.z(ts))\n", "print(\"Delta from orbit:\", delta_orbit)" ] }, { "cell_type": "markdown", "id": "a7b8c9d0e1f2", "metadata": { "papermill": { "duration": 0.004232, "end_time": "2026-05-16T13:40:43.767642+00:00", "exception": false, "start_time": "2026-05-16T13:40:43.763410+00:00", "status": "completed" }, "tags": [] }, "source": [ "We will use $\\Delta = 0.4$ in what follows. We set up the\n", "`actionAngleStaeckel` object with `c=True` to use the fast C implementation:" ] }, { "cell_type": "code", "execution_count": 4, "id": "b8c9d0e1f2a3", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:40:43.779781Z", "iopub.status.busy": "2026-05-16T13:40:43.779579Z", "iopub.status.idle": "2026-05-16T13:40:43.782979Z", "shell.execute_reply": "2026-05-16T13:40:43.782103Z" }, "papermill": { "duration": 0.009289, "end_time": "2026-05-16T13:40:43.783777+00:00", "exception": false, "start_time": "2026-05-16T13:40:43.774488+00:00", "status": "completed" }, "tags": [] }, "outputs": [], "source": [ "aAS = actionAngleStaeckel(pot=MWPotential2014, delta=0.4, c=True)" ] }, { "cell_type": "markdown", "id": "c9d0e1f2a3b4", "metadata": { "papermill": { "duration": 0.00429, "end_time": "2026-05-16T13:40:43.792499+00:00", "exception": false, "start_time": "2026-05-16T13:40:43.788209+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Computing actions\n", "\n", "Calling the object returns $(J_R, L_z, J_z)$:" ] }, { "cell_type": "code", "execution_count": 5, "id": "d0e1f2a3b4c5", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:40:43.802200Z", "iopub.status.busy": "2026-05-16T13:40:43.801964Z", "iopub.status.idle": "2026-05-16T13:40:43.811304Z", "shell.execute_reply": "2026-05-16T13:40:43.809868Z" }, "papermill": { "duration": 0.01513, "end_time": "2026-05-16T13:40:43.812007+00:00", "exception": false, "start_time": "2026-05-16T13:40:43.796877+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "J_R = 0.013636, L_z = 1.100000, J_z = 0.000463\n" ] } ], "source": [ "jr, jphi, jz = aAS(1.0, 0.1, 1.1, 0.0, 0.05)\n", "print(f\"J_R = {jr.item():.6f}, L_z = {jphi.item():.6f}, J_z = {jz.item():.6f}\")" ] }, { "cell_type": "markdown", "id": "e1f2a3b4c5d6", "metadata": { "papermill": { "duration": 0.004225, "end_time": "2026-05-16T13:40:43.822556+00:00", "exception": false, "start_time": "2026-05-16T13:40:43.818331+00:00", "status": "completed" }, "tags": [] }, "source": [ "For the orbit with higher vertical excursion:" ] }, { "cell_type": "code", "execution_count": 6, "id": "f2a3b4c5d6e7", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:40:43.832140Z", "iopub.status.busy": "2026-05-16T13:40:43.831940Z", "iopub.status.idle": "2026-05-16T13:40:43.838075Z", "shell.execute_reply": "2026-05-16T13:40:43.836950Z" }, "papermill": { "duration": 0.011905, "end_time": "2026-05-16T13:40:43.838806+00:00", "exception": false, "start_time": "2026-05-16T13:40:43.826901+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "J_R = 0.019222, L_z = 1.100000, J_z = 0.015277\n" ] } ], "source": [ "jr_hz, jphi_hz, jz_hz = aAS(o.R(), o.vR(), o.vT(), o.z(), o.vz())\n", "print(f\"J_R = {jr_hz.item():.6f}, L_z = {jphi_hz.item():.6f}, J_z = {jz_hz.item():.6f}\")" ] }, { "cell_type": "markdown", "id": "a3b4c5d6e7f8", "metadata": { "papermill": { "duration": 0.004286, "end_time": "2026-05-16T13:40:43.848853+00:00", "exception": false, "start_time": "2026-05-16T13:40:43.844567+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Computing actions, frequencies, and angles\n", "\n", "The `actionsFreqs` method returns $(J_R, L_z, J_z, \\Omega_R, \\Omega_\\phi, \\Omega_z)$:" ] }, { "cell_type": "code", "execution_count": 7, "id": "b4c5d6e7f8a9", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:40:43.858687Z", "iopub.status.busy": "2026-05-16T13:40:43.858505Z", "iopub.status.idle": "2026-05-16T13:40:43.864571Z", "shell.execute_reply": "2026-05-16T13:40:43.864052Z" }, "papermill": { "duration": 0.01252, "end_time": "2026-05-16T13:40:43.865947+00:00", "exception": false, "start_time": "2026-05-16T13:40:43.853427+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "J_R = 0.013636, L_z = 1.100000, J_z = 0.000463\n", "Omega_R = 1.1595, Omega_phi = 0.8682, Omega_z = 2.1432\n" ] } ], "source": [ "jr, jphi, jz, Or, Op, Oz = aAS.actionsFreqs(1.0, 0.1, 1.1, 0.0, 0.05)\n", "print(f\"J_R = {jr.item():.6f}, L_z = {jphi.item():.6f}, J_z = {jz.item():.6f}\")\n", "print(\n", " f\"Omega_R = {Or.item():.4f}, Omega_phi = {Op.item():.4f}, Omega_z = {Oz.item():.4f}\"\n", ")" ] }, { "cell_type": "markdown", "id": "c5d6e7f8a9b0", "metadata": { "papermill": { "duration": 0.004319, "end_time": "2026-05-16T13:40:43.875927+00:00", "exception": false, "start_time": "2026-05-16T13:40:43.871608+00:00", "status": "completed" }, "tags": [] }, "source": [ "The `actionsFreqsAngles` method additionally returns the angles\n", "$(\\theta_R, \\theta_\\phi, \\theta_z)$. Note that you **must** specify `phi`\n", "for the angles:" ] }, { "cell_type": "code", "execution_count": 8, "id": "d6e7f8a9b0c1", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:40:43.885730Z", "iopub.status.busy": "2026-05-16T13:40:43.885559Z", "iopub.status.idle": "2026-05-16T13:40:43.892642Z", "shell.execute_reply": "2026-05-16T13:40:43.890832Z" }, "papermill": { "duration": 0.013492, "end_time": "2026-05-16T13:40:43.893892+00:00", "exception": false, "start_time": "2026-05-16T13:40:43.880400+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "J_R = 0.013636\n", "Omega_R = 1.1595, Omega_phi = 0.8682, Omega_z = 2.1432\n", "theta_R = 0.4687, theta_phi = 6.1767, theta_z = 6.0535\n" ] } ], "source": [ "jr, jphi, jz, Or, Op, Oz, wr, wp, wz = aAS.actionsFreqsAngles(\n", " 1.0, 0.1, 1.1, 0.0, 0.05, 0.0\n", ")\n", "print(f\"J_R = {jr.item():.6f}\")\n", "print(\n", " f\"Omega_R = {Or.item():.4f}, Omega_phi = {Op.item():.4f}, Omega_z = {Oz.item():.4f}\"\n", ")\n", "print(\n", " f\"theta_R = {wr.item():.4f}, theta_phi = {wp.item():.4f}, theta_z = {wz.item():.4f}\"\n", ")" ] }, { "cell_type": "markdown", "id": "e7f8a9b0c1d2", "metadata": { "papermill": { "duration": 0.004319, "end_time": "2026-05-16T13:40:43.903507+00:00", "exception": false, "start_time": "2026-05-16T13:40:43.899188+00:00", "status": "completed" }, "tags": [] }, "source": [ "
\n", "\n", "**Warning**\n", "\n", "Frequencies and angles using the Staeckel approximation are\n", "*only* implemented in C. You must use `c=True` in the setup of the\n", "`actionAngleStaeckel` object.\n", "\n", "
\n", "\n", "
\n", "\n", "**Warning**\n", "\n", "Angles using the Staeckel approximation in galpy follow this\n", "convention: (a) the radial angle starts at zero at pericenter and increases\n", "going toward apocenter; (b) the vertical angle starts at zero at $z=0$ and\n", "increases toward positive $z_{\\max}$. The latter is a **different convention**\n", "from that in Binney (2012), but is consistent with `actionAngleIsochrone`\n", "and `actionAngleSpherical`.\n", "\n", "
" ] }, { "cell_type": "markdown", "id": "f8a9b0c1d2e3", "metadata": { "papermill": { "duration": 0.004432, "end_time": "2026-05-16T13:40:43.912395+00:00", "exception": false, "start_time": "2026-05-16T13:40:43.907963+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Checking conservation of actions along an orbit\n", "\n", "We can verify that the actions are conserved along the orbit with higher\n", "vertical excursion (reaching about 1.35 kpc from the plane for $R_0 = 8$ kpc):" ] }, { "cell_type": "code", "execution_count": 9, "id": "a9b0c1d2e3f4", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:40:43.922180Z", "iopub.status.busy": "2026-05-16T13:40:43.921967Z", "iopub.status.idle": "2026-05-16T13:40:43.925447Z", "shell.execute_reply": "2026-05-16T13:40:43.924523Z" }, "papermill": { "duration": 0.009229, "end_time": "2026-05-16T13:40:43.926048+00:00", "exception": false, "start_time": "2026-05-16T13:40:43.916819+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Maximum height: 1.35 kpc\n" ] } ], "source": [ "print(f\"Maximum height: {o.zmax() * 8.0:.2f} kpc\")" ] }, { "cell_type": "markdown", "id": "dc17181c", "metadata": { "papermill": { "duration": 0.004457, "end_time": "2026-05-16T13:40:43.935312+00:00", "exception": false, "start_time": "2026-05-16T13:40:43.930855+00:00", "status": "completed" }, "tags": [] }, "source": [ "Now plot the action conservation:" ] }, { "cell_type": "code", "execution_count": 10, "id": "b0c1d2e3f4a5", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:40:43.945319Z", "iopub.status.busy": "2026-05-16T13:40:43.945070Z", "iopub.status.idle": "2026-05-16T13:40:44.196971Z", "shell.execute_reply": "2026-05-16T13:40:44.195763Z" }, "papermill": { "duration": 0.257844, "end_time": "2026-05-16T13:40:44.197700+00:00", "exception": false, "start_time": "2026-05-16T13:40:43.939856+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "js = aAS(o.R(ts), o.vR(ts), o.vT(ts), o.z(ts), o.vz(ts))\n", "\n", "plt.plot(ts, numpy.log10(numpy.fabs((js[0] - numpy.mean(js[0])) / numpy.mean(js[0]))))\n", "plt.plot(ts, numpy.log10(numpy.fabs((js[2] - numpy.mean(js[2])) / numpy.mean(js[2]))))\n", "plt.xlabel(r\"$t$\")\n", "plt.ylabel(r\"$\\log_{10}|\\Delta J / \\langle J \\rangle|$\")\n", "plt.legend([r\"$J_R$\", r\"$J_z$\"])\n", "plt.title(\"Staeckel: action conservation (high-z orbit)\");" ] }, { "cell_type": "markdown", "id": "c1d2e3f4a5b6", "metadata": { "papermill": { "duration": 0.004921, "end_time": "2026-05-16T13:40:44.207900+00:00", "exception": false, "start_time": "2026-05-16T13:40:44.202979+00:00", "status": "completed" }, "tags": [] }, "source": [ "The radial action is conserved to better than a percent and the vertical action\n", "to only a fraction of a percent. This is much better than the five to ten\n", "percent errors found with the adiabatic approximation for the same orbit. Note that\n", "you can also make this plot conveniently using the Orbit interface to the actions, \n", "which automatically uses the Staeckel approximation for the action calculation:" ] }, { "cell_type": "code", "execution_count": 11, "id": "a50eeec2", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:40:44.219036Z", "iopub.status.busy": "2026-05-16T13:40:44.218771Z", "iopub.status.idle": "2026-05-16T13:40:44.471774Z", "shell.execute_reply": "2026-05-16T13:40:44.470598Z" }, "papermill": { "duration": 0.259601, "end_time": "2026-05-16T13:40:44.472490+00:00", "exception": false, "start_time": "2026-05-16T13:40:44.212889+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Initialize new Orbits all along the integrated orbit, then compute the actions\n", "# because actions are only computed at the initial condition for the orbit interface\n", "o_along_orbit = o(ts)\n", "jrs = o_along_orbit.jr(pot=MWPotential2014, delta=0.4)\n", "jzs = o_along_orbit.jz(pot=MWPotential2014, delta=0.4)\n", "\n", "plt.plot(ts, numpy.log10(numpy.fabs((jrs - numpy.mean(jrs)) / numpy.mean(jrs))))\n", "plt.plot(ts, numpy.log10(numpy.fabs((jzs - numpy.mean(jzs)) / numpy.mean(jzs))))\n", "plt.xlabel(r\"$t$\")\n", "plt.ylabel(r\"$\\log_{10}|\\Delta J / \\langle J \\rangle|$\")\n", "plt.legend([r\"$J_R$\", r\"$J_z$\"])\n", "plt.title(\"Staeckel: action conservation (high-z orbit)\");" ] }, { "cell_type": "markdown", "id": "d2e3f4a5b6c7", "metadata": { "papermill": { "duration": 0.005343, "end_time": "2026-05-16T13:40:44.483615+00:00", "exception": false, "start_time": "2026-05-16T13:40:44.478272+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Checking that angles increase linearly\n", "\n", "We can also verify that the angles increase linearly along the orbit:" ] }, { "cell_type": "code", "execution_count": 12, "id": "e3f4a5b6c7d8", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:40:44.495350Z", "iopub.status.busy": "2026-05-16T13:40:44.495163Z", "iopub.status.idle": "2026-05-16T13:40:44.846482Z", "shell.execute_reply": "2026-05-16T13:40:44.845562Z" }, "papermill": { "duration": 0.358479, "end_time": "2026-05-16T13:40:44.847479+00:00", "exception": false, "start_time": "2026-05-16T13:40:44.489000+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "o2 = Orbit([1.0, 0.1, 1.1, 0.0, 0.25, 0.0])\n", "o2.integrate(ts, MWPotential2014)\n", "\n", "jfa = aAS.actionsFreqsAngles(\n", " o2.R(ts), o2.vR(ts), o2.vT(ts), o2.z(ts), o2.vz(ts), o2.phi(ts)\n", ")\n", "\n", "plt.plot(ts, jfa[6], \"b.\", ms=1)\n", "plt.plot(ts, jfa[7], \"g.\", ms=1)\n", "plt.plot(ts, jfa[8], \"r.\", ms=1)\n", "plt.xlabel(r\"$t$\")\n", "plt.ylabel(r\"angle\")\n", "plt.legend([r\"$\\theta_R$\", r\"$\\theta_\\phi$\", r\"$\\theta_z$\"])\n", "plt.title(\"Staeckel: angles vs. time\");" ] }, { "cell_type": "markdown", "id": "f4a5b6c7d8e9", "metadata": { "papermill": { "duration": 0.005393, "end_time": "2026-05-16T13:40:44.858868+00:00", "exception": false, "start_time": "2026-05-16T13:40:44.853475+00:00", "status": "completed" }, "tags": [] }, "source": [ "We can also look at the angle-angle plane:" ] }, { "cell_type": "code", "execution_count": 13, "id": "a5b6c7d8e9f0", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:40:44.870980Z", "iopub.status.busy": "2026-05-16T13:40:44.870785Z", "iopub.status.idle": "2026-05-16T13:40:44.993499Z", "shell.execute_reply": "2026-05-16T13:40:44.992570Z" }, "papermill": { "duration": 0.129949, "end_time": "2026-05-16T13:40:44.994395+00:00", "exception": false, "start_time": "2026-05-16T13:40:44.864446+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(jfa[6], jfa[8], \"b.\", ms=1)\n", "plt.xlabel(r\"$\\theta_R$\")\n", "plt.ylabel(r\"$\\theta_z$\")\n", "plt.title(r\"$\\theta_R$ vs. $\\theta_z$\");" ] }, { "cell_type": "markdown", "id": "b6c7d8e9f0a1", "metadata": { "papermill": { "duration": 0.005688, "end_time": "2026-05-16T13:40:45.006116+00:00", "exception": false, "start_time": "2026-05-16T13:40:45.000428+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Grid-based interpolation: actionAngleStaeckelGrid\n", "\n", "For applications requiring many evaluations (e.g., distribution functions),\n", "you can set up a grid-based interpolation that precomputes actions on a grid\n", "and interpolates. Because this is a fully three-dimensional grid, setting up\n", "the grid takes longer than for the adiabatic method, but evaluations are\n", "significantly faster afterwards:" ] }, { "cell_type": "code", "execution_count": 14, "id": "c7d8e9f0a1b2", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:40:45.018722Z", "iopub.status.busy": "2026-05-16T13:40:45.018474Z", "iopub.status.idle": "2026-05-16T13:40:49.236934Z", "shell.execute_reply": "2026-05-16T13:40:49.236059Z" }, "papermill": { "duration": 4.225845, "end_time": "2026-05-16T13:40:49.237705+00:00", "exception": false, "start_time": "2026-05-16T13:40:45.011860+00:00", "status": "completed" }, "tags": [] }, "outputs": [], "source": [ "from galpy.actionAngle import actionAngleStaeckelGrid\n", "\n", "aASG = actionAngleStaeckelGrid(\n", " pot=MWPotential2014, delta=0.4, c=True, nE=51, npsi=51, nLz=61\n", ")" ] }, { "cell_type": "markdown", "id": "00021b9b", "metadata": { "papermill": { "duration": 0.005489, "end_time": "2026-05-16T13:40:49.249370+00:00", "exception": false, "start_time": "2026-05-16T13:40:49.243881+00:00", "status": "completed" }, "tags": [] }, "source": [ "Compare the grid-based and direct calculations:" ] }, { "cell_type": "code", "execution_count": 15, "id": "d8e9f0a1b2c3", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:40:49.261558Z", "iopub.status.busy": "2026-05-16T13:40:49.261337Z", "iopub.status.idle": "2026-05-16T13:40:49.268569Z", "shell.execute_reply": "2026-05-16T13:40:49.267877Z" }, "papermill": { "duration": 0.014671, "end_time": "2026-05-16T13:40:49.269614+00:00", "exception": false, "start_time": "2026-05-16T13:40:49.254943+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "J_R: direct = 0.019222, grid = 0.019221, difference = -0.000001\n", "J_z: direct = 0.015277, grid = 0.015023, difference = -0.000254\n" ] } ], "source": [ "# Same interface as actionAngleStaeckel\n", "jr_direct, _, jz_direct = aAS(o.R(), o.vR(), o.vT(), o.z(), o.vz())\n", "jr_grid, _, jz_grid = aASG(o.R(), o.vR(), o.vT(), o.z(), o.vz())\n", "\n", "print(\n", " f\"J_R: direct = {jr_direct.item():.6f}, grid = {jr_grid.item():.6f}, difference = {jr_grid.item() - jr_direct.item():.6f}\"\n", ")\n", "print(\n", " f\"J_z: direct = {jz_direct.item():.6f}, grid = {jz_grid.item():.6f}, difference = {jz_grid.item() - jz_direct.item():.6f}\"\n", ")" ] }, { "cell_type": "markdown", "id": "e9f0a1b2c3d4", "metadata": { "papermill": { "duration": 0.005545, "end_time": "2026-05-16T13:40:49.282349+00:00", "exception": false, "start_time": "2026-05-16T13:40:49.276804+00:00", "status": "completed" }, "tags": [] }, "source": [ "The grid-based interpolation gives a significant speed-up over even the\n", "direct C implementation (up to about 25 times for large arrays).\n", "The speed-up is especially significant for complex potentials." ] }, { "cell_type": "markdown", "id": "f0a1b2c3d4e5", "metadata": { "papermill": { "duration": 0.005601, "end_time": "2026-05-16T13:40:49.293587+00:00", "exception": false, "start_time": "2026-05-16T13:40:49.287986+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Speed-up with C and fixed_quad\n", "\n", "The `actionAngleStaeckel` calculations can be sped up in two ways:\n", "\n", "1. Using Gaussian quadrature with `fixed_quad=True` (about 10x speed-up)\n", "2. Using the C implementation with `c=True` (additional 15x speed-up for arrays)\n", "\n", "For `MWPotential2014`, the overall speed-up from Python without `fixed_quad`\n", "to C is very significant, and the grid-based version is faster still." ] }, { "cell_type": "markdown", "id": "a1ec0f5c", "metadata": { "papermill": { "duration": 0.005526, "end_time": "2026-05-16T13:40:49.304884+00:00", "exception": false, "start_time": "2026-05-16T13:40:49.299358+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Using the Orbit interface\n", "\n", "The simplest way to use the Staeckel approximation is through the `Orbit` class.\n", "After integrating an orbit (or even without integrating), you can compute actions,\n", "frequencies, eccentricity, and other orbital parameters directly. The `delta`\n", "parameter is auto-determined from the potential when not specified.\n", "\n", "This is the recommended approach for most use cases:" ] }, { "cell_type": "code", "execution_count": 16, "id": "22e3be16", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:40:49.317284Z", "iopub.status.busy": "2026-05-16T13:40:49.317087Z", "iopub.status.idle": "2026-05-16T13:40:49.326441Z", "shell.execute_reply": "2026-05-16T13:40:49.325861Z" }, "papermill": { "duration": 0.017068, "end_time": "2026-05-16T13:40:49.327719+00:00", "exception": false, "start_time": "2026-05-16T13:40:49.310651+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "J_R = 0.018194068810168045\n", "L_z = 1.1\n", "J_z = 0.015401555843492853\n", "Omega_R = 1.1132510099651385\n", "Omega_phi = 0.8316073031034159\n", "Omega_z = 1.3979171640553745\n", "Eccentricity: 0.15606311338037263\n", "Apocenter: 1.3449641120910967\n", "Pericenter: 0.9818363826645405\n", "zmax: 0.16222777310650005\n" ] } ], "source": [ "# Using the Orbit interface -- no need to set up actionAngleStaeckel manually\n", "o_orb = Orbit([1.0, 0.1, 1.1, 0.0, 0.25, 0.0])\n", "\n", "# Actions (delta is auto-determined from the potential)\n", "print(\"J_R =\", o_orb.jr(pot=MWPotential2014))\n", "print(\"L_z =\", o_orb.jp(pot=MWPotential2014))\n", "print(\"J_z =\", o_orb.jz(pot=MWPotential2014))\n", "\n", "# Frequencies\n", "print(\"Omega_R =\", o_orb.Or(pot=MWPotential2014))\n", "print(\"Omega_phi =\", o_orb.Op(pot=MWPotential2014))\n", "print(\"Omega_z =\", o_orb.Oz(pot=MWPotential2014))\n", "\n", "# Orbital parameters using the Staeckel approximation (no integration needed)\n", "print(\"Eccentricity:\", o_orb.e(analytic=True, pot=MWPotential2014, type=\"staeckel\"))\n", "print(\"Apocenter:\", o_orb.rap(analytic=True, pot=MWPotential2014, type=\"staeckel\"))\n", "print(\"Pericenter:\", o_orb.rperi(analytic=True, pot=MWPotential2014, type=\"staeckel\"))\n", "print(\"zmax:\", o_orb.zmax(analytic=True, pot=MWPotential2014, type=\"staeckel\"))" ] }, { "cell_type": "markdown", "id": "2a83140f", "metadata": { "papermill": { "duration": 0.005636, "end_time": "2026-05-16T13:40:49.340380+00:00", "exception": false, "start_time": "2026-05-16T13:40:49.334744+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Example: Lindblad resonances in the Solar neighborhood with Gaia\n", "\n", "As a real-world application, we use the Staeckel approximation to compute\n", "actions for a large sample of nearby stars from Gaia DR3 and look for\n", "evidence of orbital resonances in the $(L_z, \\sqrt{J_R})$ plane, following\n", "[Trick, Coronado & Rix (2019)](https://ui.adsabs.harvard.edu/abs/2019MNRAS.484.3291T/abstract).\n", "\n", "We select stars within 200 pc (parallax > 5 mas) with good parallaxes\n", "(better than 5% precision) and radial velocities in Gaia DR3:\n", "\n", "
\n", "\n", "**Warning**\n", "\n", "This cell queries the ESA Gaia archive, which can be slow or temporarily\n", "unavailable. If that query fails, we automatically fall back to the same\n", "Gaia DR3 catalog served by the CDS VizieR TAP endpoint via `pyvo`.\n", "\n", "
" ] }, { "cell_type": "code", "execution_count": 17, "id": "9df1adf9", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:40:49.352644Z", "iopub.status.busy": "2026-05-16T13:40:49.352473Z", "iopub.status.idle": "2026-05-16T13:40:49.382438Z", "shell.execute_reply": "2026-05-16T13:40:49.381447Z" }, "papermill": { "duration": 0.036996, "end_time": "2026-05-16T13:40:49.383136+00:00", "exception": false, "start_time": "2026-05-16T13:40:49.346140+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Loaded 619690 stars from local cache: gaia_dr3_solar_neighborhood.fits\n" ] } ], "source": [ "import os\n", "\n", "from astropy.table import Table\n", "\n", "from galpy.util import plot as galpy_plot\n", "\n", "# Cache the query result locally so re-runs of this notebook don't repeat\n", "# the multi-minute Gaia archive download.\n", "_gaia_cache = \"gaia_dr3_solar_neighborhood.fits\"\n", "\n", "if os.path.exists(_gaia_cache):\n", " gaia = Table.read(_gaia_cache)\n", " print(f\"Loaded {len(gaia)} stars from local cache: {_gaia_cache}\")\n", "else:\n", " # Primary source: ESA Gaia archive via astroquery. The archive is occasionally\n", " # unavailable (HTTPError), so we fall back to the same DR3 catalog served by\n", " # the CDS VizieR TAP endpoint via pyvo.\n", " try:\n", " from astroquery.gaia import Gaia\n", "\n", " query = \"\"\"\n", " SELECT ra, dec, parallax, pmra, pmdec, radial_velocity\n", " FROM gaiadr3.gaia_source\n", " WHERE parallax > 5\n", " AND parallax_over_error > 20\n", " AND radial_velocity IS NOT NULL\n", " AND ruwe < 1.4\n", " \"\"\"\n", "\n", " job = Gaia.launch_job_async(query)\n", " gaia = job.get_results()\n", " print(f\"Downloaded {len(gaia)} stars from Gaia DR3 (ESA archive)\")\n", " except Exception as e:\n", " print(\n", " f\"ESA Gaia archive query failed ({type(e).__name__}: {e}); \"\n", " \"falling back to VizieR TAP via pyvo.\"\n", " )\n", " import pyvo\n", "\n", " cds_tap = pyvo.dal.TAPService(\"http://tapvizier.u-strasbg.fr/TAPVizieR/tap/\")\n", "\n", " vizier_query = \"\"\"\n", " SELECT RA_ICRS, DE_ICRS, Plx, pmRA, pmDE, RV\n", " FROM \"I/355/gaiadr3\"\n", " WHERE Plx > 5\n", " AND Plx / e_Plx > 20\n", " AND RV IS NOT NULL\n", " AND RUWE < 1.4\n", " \"\"\"\n", "\n", " result = cds_tap.run_async(vizier_query, maxrec=1000000)\n", " gaia = result.to_table()\n", " # Rename VizieR columns to match the ESA Gaia archive schema so that the\n", " # remainder of the notebook can use a single set of column names.\n", " gaia.rename_columns(\n", " [\"RA_ICRS\", \"DE_ICRS\", \"Plx\", \"pmRA\", \"pmDE\", \"RV\"],\n", " [\"ra\", \"dec\", \"parallax\", \"pmra\", \"pmdec\", \"radial_velocity\"],\n", " )\n", " print(f\"Downloaded {len(gaia)} stars from Gaia DR3 (VizieR TAP)\")\n", "\n", " gaia.write(_gaia_cache, format=\"fits\", overwrite=True)" ] }, { "cell_type": "markdown", "id": "4917faba", "metadata": { "papermill": { "duration": 0.005827, "end_time": "2026-05-16T13:40:49.395459+00:00", "exception": false, "start_time": "2026-05-16T13:40:49.389632+00:00", "status": "completed" }, "tags": [] }, "source": [ "Initialize orbits from the observed coordinates and compute actions using the\n", "Staeckel approximation with `delta=0.45` (following Trick et al. 2019):" ] }, { "cell_type": "code", "execution_count": 18, "id": "89a8982f", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:40:49.408394Z", "iopub.status.busy": "2026-05-16T13:40:49.408008Z", "iopub.status.idle": "2026-05-16T13:41:38.048742Z", "shell.execute_reply": "2026-05-16T13:41:38.047799Z" }, "papermill": { "duration": 48.648075, "end_time": "2026-05-16T13:41:38.049462+00:00", "exception": false, "start_time": "2026-05-16T13:40:49.401387+00:00", "status": "completed" }, "tags": [] }, "outputs": [], "source": [ "from galpy.orbit import Orbit\n", "\n", "vxvv = numpy.column_stack(\n", " [\n", " numpy.array(gaia[\"ra\"], dtype=float),\n", " numpy.array(gaia[\"dec\"], dtype=float),\n", " 1.0 / numpy.array(gaia[\"parallax\"], dtype=float), # kpc\n", " numpy.array(gaia[\"pmra\"], dtype=float),\n", " numpy.array(gaia[\"pmdec\"], dtype=float),\n", " numpy.array(gaia[\"radial_velocity\"], dtype=float),\n", " ]\n", ")\n", "\n", "orbits = Orbit(vxvv, radec=True, ro=8.0, vo=220.0)\n", "jr = orbits.jr(pot=MWPotential2014, analytic=True, type=\"staeckel\", delta=0.45)\n", "lz = orbits.Lz()\n", "Lz0 = 8.0 * 220.0 # kpc km/s, solar circular angular momentum" ] }, { "cell_type": "markdown", "id": "2397e586", "metadata": { "papermill": { "duration": 0.005711, "end_time": "2026-05-16T13:41:38.061379+00:00", "exception": false, "start_time": "2026-05-16T13:41:38.055668+00:00", "status": "completed" }, "tags": [] }, "source": [ "Plotting $\\sqrt{J_R}$ vs. $L_z$ (following\n", "[Trick et al. 2019](https://ui.adsabs.harvard.edu/abs/2019MNRAS.484.3291T/abstract);\n", "the square root emphasizes structure at low $J_R$) reveals clear overdensities and \n", "ridge-like features that are the signatures of orbital resonances\n", "([Sellwood 2010](https://ui.adsabs.harvard.edu/abs/2010MNRAS.409..145S/abstract)).\n", "The dominant feature is the Outer Lindblad Resonance of the Galactic bar:" ] }, { "cell_type": "code", "execution_count": 19, "id": "09bdc390", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:41:38.074063Z", "iopub.status.busy": "2026-05-16T13:41:38.073867Z", "iopub.status.idle": "2026-05-16T13:41:40.148413Z", "shell.execute_reply": "2026-05-16T13:41:40.147358Z" }, "papermill": { "duration": 2.081978, "end_time": "2026-05-16T13:41:40.149225+00:00", "exception": false, "start_time": "2026-05-16T13:41:38.067247+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "galpy_plot.scatterplot(\n", " lz / Lz0,\n", " numpy.sqrt(jr / Lz0),\n", " \"k.\",\n", " xlabel=r\"$L_z / L_{z,0}$\",\n", " ylabel=r\"$\\sqrt{J_R / L_{z,0}}$\",\n", " xrange=[0.6, 1.3],\n", " yrange=[0.0, 0.4],\n", ");" ] }, { "cell_type": "markdown", "id": "ce68fa65", "metadata": { "papermill": { "duration": 0.006389, "end_time": "2026-05-16T13:41:40.162382+00:00", "exception": false, "start_time": "2026-05-16T13:41:40.155993+00:00", "status": "completed" }, "tags": [] }, "source": [ "These features are robust to the choice of potential model. For example, using\n", "a `LogarithmicHaloPotential` (with `delta=0.01` since this potential is nearly\n", "spherical) gives a very similar picture:" ] }, { "cell_type": "code", "execution_count": 20, "id": "f11f630e", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:41:40.176306Z", "iopub.status.busy": "2026-05-16T13:41:40.176067Z", "iopub.status.idle": "2026-05-16T13:41:49.257687Z", "shell.execute_reply": "2026-05-16T13:41:49.256756Z" }, "papermill": { "duration": 9.089782, "end_time": "2026-05-16T13:41:49.258628+00:00", "exception": false, "start_time": "2026-05-16T13:41:40.168846+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 LogarithmicHaloPotential\n", "\n", "loglp = LogarithmicHaloPotential(normalize=1.0)\n", "jr_log = orbits.jr(pot=loglp, analytic=True, type=\"staeckel\", delta=0.01)\n", "\n", "galpy_plot.scatterplot(\n", " lz / Lz0,\n", " numpy.sqrt(jr_log / Lz0),\n", " \"k.\",\n", " xlabel=r\"$L_z / L_{z,0}$\",\n", " ylabel=r\"$\\sqrt{J_R / L_{z,0}}$\",\n", " xrange=[0.6, 1.3],\n", " yrange=[0.0, 0.4],\n", ");" ] }, { "cell_type": "markdown", "id": "d432f661", "metadata": { "papermill": { "duration": 0.007101, "end_time": "2026-05-16T13:41:49.273728+00:00", "exception": false, "start_time": "2026-05-16T13:41:49.266627+00:00", "status": "completed" }, "tags": [] }, "source": [ "The persistence of the overdensities and ridge features across different potentials is a strong\n", "indication that they are real dynamical features rather than artifacts of the\n", "potential model." ] } ], "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": 69.755031, "end_time": "2026-05-16T13:41:49.897210+00:00", "environment_variables": {}, "exception": null, "input_path": "doc/source/tutorials/action_angle/staeckel.ipynb", "output_path": "doc/source/tutorials/action_angle/staeckel.ipynb", "parameters": {}, "start_time": "2026-05-16T13:40:40.142179+00:00", "version": "2.7.0" } }, "nbformat": 4, "nbformat_minor": 5 }