{ "cells": [ { "cell_type": "markdown", "id": "a1f2b3c4d5e6", "metadata": { "papermill": { "duration": 0.003311, "end_time": "2026-05-16T13:40:14.881180+00:00", "exception": false, "start_time": "2026-05-16T13:40:14.877869+00:00", "status": "completed" }, "tags": [] }, "source": [ "# Action-Angle Coordinates: Adiabatic Approximation\n", "\n", "The adiabatic approximation (`actionAngleAdiabatic`) separates the radial\n", "and vertical motions, computing $J_z$ at each radius while assuming that\n", "the radial motion is slow compared to the vertical oscillation\n", "(e.g., [Binney & McMillan 2010](http://adsabs.harvard.edu/abs/2010MNRAS.401.2318B)).\n", "This is fast but less accurate than the [Staeckel method](staeckel.ipynb) for orbits with\n", "large vertical excursions.\n", "\n", "
\n", "\n", "**Warning**\n", "\n", "Frequencies and angles using the adiabatic approximation are\n", "**not implemented** at this time. Use the [Staeckel approximation](staeckel.ipynb) if you need\n", "frequencies and angles.\n", "\n", "
" ] }, { "cell_type": "code", "execution_count": 1, "id": "b2a3c4d5e6f7", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:40:14.888204Z", "iopub.status.busy": "2026-05-16T13:40:14.887956Z", "iopub.status.idle": "2026-05-16T13:40:18.763390Z", "shell.execute_reply": "2026-05-16T13:40:18.762504Z" }, "papermill": { "duration": 3.880177, "end_time": "2026-05-16T13:40:18.764394+00:00", "exception": false, "start_time": "2026-05-16T13:40:14.884217+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": "c3b4d5e6f7a8", "metadata": { "papermill": { "duration": 0.002868, "end_time": "2026-05-16T13:40:18.770390+00:00", "exception": false, "start_time": "2026-05-16T13:40:18.767522+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Setup\n", "\n", "Setup is straightforward. Using `c=True` gives a significant speed-up\n", "(about 50x for single evaluations, 200x for arrays):" ] }, { "cell_type": "code", "execution_count": 2, "id": "d4c5e6f7a8b9", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:40:18.776920Z", "iopub.status.busy": "2026-05-16T13:40:18.776604Z", "iopub.status.idle": "2026-05-16T13:40:18.786418Z", "shell.execute_reply": "2026-05-16T13:40:18.785524Z" }, "papermill": { "duration": 0.01388, "end_time": "2026-05-16T13:40:18.787026+00:00", "exception": false, "start_time": "2026-05-16T13:40:18.773146+00:00", "status": "completed" }, "tags": [] }, "outputs": [], "source": [ "from galpy.actionAngle import actionAngleAdiabatic\n", "\n", "aAA = actionAngleAdiabatic(pot=MWPotential2014, c=True)" ] }, { "cell_type": "markdown", "id": "e5d6f7a8b9c0", "metadata": { "papermill": { "duration": 0.002651, "end_time": "2026-05-16T13:40:18.792464+00:00", "exception": false, "start_time": "2026-05-16T13:40:18.789813+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": 3, "id": "f6e7a8b9c0d1", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:40:18.798861Z", "iopub.status.busy": "2026-05-16T13:40:18.798673Z", "iopub.status.idle": "2026-05-16T13:40:18.804437Z", "shell.execute_reply": "2026-05-16T13:40:18.803884Z" }, "papermill": { "duration": 0.010418, "end_time": "2026-05-16T13:40:18.805661+00:00", "exception": false, "start_time": "2026-05-16T13:40:18.795243+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "J_R = 0.013525, L_z = 1.100000, J_z = 0.000469\n" ] } ], "source": [ "jr_ad, jphi_ad, jz_ad = aAA(1.0, 0.1, 1.1, 0.0, 0.05)\n", "print(f\"J_R = {jr_ad.item():.6f}, L_z = {jphi_ad.item():.6f}, J_z = {jz_ad.item():.6f}\")" ] }, { "cell_type": "markdown", "id": "a7f8b9c0d1e2", "metadata": { "papermill": { "duration": 0.002842, "end_time": "2026-05-16T13:40:18.812816+00:00", "exception": false, "start_time": "2026-05-16T13:40:18.809974+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Action conservation for a thin-disk orbit\n", "\n", "The adiabatic approximation works well for orbits that stay close to the\n", "plane. Let's check action conservation for a near-circular orbit:" ] }, { "cell_type": "code", "execution_count": 4, "id": "b8a9c0d1e2f3", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:40:18.819300Z", "iopub.status.busy": "2026-05-16T13:40:18.819075Z", "iopub.status.idle": "2026-05-16T13:40:18.846729Z", "shell.execute_reply": "2026-05-16T13:40:18.845959Z" }, "papermill": { "duration": 0.031992, "end_time": "2026-05-16T13:40:18.847668+00:00", "exception": false, "start_time": "2026-05-16T13:40:18.815676+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Maximum height: 0.18 kpc (for R_0 = 8 kpc)\n" ] } ], "source": [ "o = Orbit([1.0, 0.1, 1.1, 0.0, 0.05])\n", "ts = numpy.linspace(0, 100, 1001)\n", "o.integrate(ts, MWPotential2014)\n", "\n", "print(f\"Maximum height: {o.zmax() * 8.0:.2f} kpc (for R_0 = 8 kpc)\")" ] }, { "cell_type": "markdown", "id": "f2b03870", "metadata": { "papermill": { "duration": 0.002851, "end_time": "2026-05-16T13:40:18.853432+00:00", "exception": false, "start_time": "2026-05-16T13:40:18.850581+00:00", "status": "completed" }, "tags": [] }, "source": [ "Now compute the actions along the orbit and check conservation:" ] }, { "cell_type": "code", "execution_count": 5, "id": "c9b0d1e2f3a4", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:40:18.860138Z", "iopub.status.busy": "2026-05-16T13:40:18.859904Z", "iopub.status.idle": "2026-05-16T13:40:19.093252Z", "shell.execute_reply": "2026-05-16T13:40:19.092273Z" }, "papermill": { "duration": 0.237557, "end_time": "2026-05-16T13:40:19.093906+00:00", "exception": false, "start_time": "2026-05-16T13:40:18.856349+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "js = aAA(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(\"Adiabatic: action conservation (thin-disk orbit)\");" ] }, { "cell_type": "markdown", "id": "d0c1e2f3a4b5", "metadata": { "papermill": { "duration": 0.003132, "end_time": "2026-05-16T13:40:19.100549+00:00", "exception": false, "start_time": "2026-05-16T13:40:19.097417+00:00", "status": "completed" }, "tags": [] }, "source": [ "The radial action is conserved to about half a percent, the vertical action\n", "to about two percent." ] }, { "cell_type": "markdown", "id": "e1d2f3a4b5c6", "metadata": { "papermill": { "duration": 0.003034, "end_time": "2026-05-16T13:40:19.106849+00:00", "exception": false, "start_time": "2026-05-16T13:40:19.103815+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Comparison with Staeckel for thin-disk orbits\n", "\n", "For thin-disk orbits, the adiabatic and Staeckel approximations agree well:" ] }, { "cell_type": "code", "execution_count": 6, "id": "f2e3a4b5c6d7", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:40:19.114190Z", "iopub.status.busy": "2026-05-16T13:40:19.113976Z", "iopub.status.idle": "2026-05-16T13:40:19.120403Z", "shell.execute_reply": "2026-05-16T13:40:19.118534Z" }, "papermill": { "duration": 0.010971, "end_time": "2026-05-16T13:40:19.121090+00:00", "exception": false, "start_time": "2026-05-16T13:40:19.110119+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Method J_R J_z\n", "Adiabatic: 0.013525 0.000469\n", "Staeckel: 0.013636 0.000463\n", "Difference: 0.000111 -0.000006\n" ] } ], "source": [ "from galpy.actionAngle import actionAngleStaeckel\n", "\n", "aAS = actionAngleStaeckel(pot=MWPotential2014, delta=0.4, c=True)\n", "\n", "jr_st, jphi_st, jz_st = aAS(1.0, 0.1, 1.1, 0.0, 0.05)\n", "\n", "print(\"Method J_R J_z\")\n", "print(f\"Adiabatic: {jr_ad.item():.6f} {jz_ad.item():.6f}\")\n", "print(f\"Staeckel: {jr_st.item():.6f} {jz_st.item():.6f}\")\n", "print(\n", " f\"Difference: {jr_st.item() - jr_ad.item():.6f} {jz_st.item() - jz_ad.item():.6f}\"\n", ")" ] }, { "cell_type": "markdown", "id": "a3f4b5c6d7e8", "metadata": { "papermill": { "duration": 0.003217, "end_time": "2026-05-16T13:40:19.129240+00:00", "exception": false, "start_time": "2026-05-16T13:40:19.126023+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Failure for high-z orbits\n", "\n", "The adiabatic approximation breaks down for orbits that reach distances\n", "of a kpc and more from the plane. Let's examine a higher-z orbit:" ] }, { "cell_type": "code", "execution_count": 7, "id": "b4a5c6d7e8f9", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:40:19.137069Z", "iopub.status.busy": "2026-05-16T13:40:19.136856Z", "iopub.status.idle": "2026-05-16T13:40:19.164681Z", "shell.execute_reply": "2026-05-16T13:40:19.163865Z" }, "papermill": { "duration": 0.032761, "end_time": "2026-05-16T13:40:19.165456+00:00", "exception": false, "start_time": "2026-05-16T13:40:19.132695+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Maximum height: 1.35 kpc (for R_0 = 8 kpc)\n" ] } ], "source": [ "o_hz = Orbit([1.0, 0.1, 1.1, 0.0, 0.25])\n", "o_hz.integrate(ts, MWPotential2014)\n", "\n", "print(f\"Maximum height: {o_hz.zmax() * 8.0:.2f} kpc (for R_0 = 8 kpc)\")" ] }, { "cell_type": "markdown", "id": "43304066", "metadata": { "papermill": { "duration": 0.003209, "end_time": "2026-05-16T13:40:19.172129+00:00", "exception": false, "start_time": "2026-05-16T13:40:19.168920+00:00", "status": "completed" }, "tags": [] }, "source": [ "Compute actions along this higher-z orbit:" ] }, { "cell_type": "code", "execution_count": 8, "id": "c5b6d7e8f9a0", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:40:19.179939Z", "iopub.status.busy": "2026-05-16T13:40:19.179742Z", "iopub.status.idle": "2026-05-16T13:40:19.379955Z", "shell.execute_reply": "2026-05-16T13:40:19.379119Z" }, "papermill": { "duration": 0.205222, "end_time": "2026-05-16T13:40:19.380724+00:00", "exception": false, "start_time": "2026-05-16T13:40:19.175502+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "js_hz = aAA(o_hz.R(ts), o_hz.vR(ts), o_hz.vT(ts), o_hz.z(ts), o_hz.vz(ts))\n", "\n", "plt.plot(\n", " ts,\n", " numpy.log10(numpy.fabs((js_hz[0] - numpy.mean(js_hz[0])) / numpy.mean(js_hz[0]))),\n", ")\n", "plt.plot(\n", " ts,\n", " numpy.log10(numpy.fabs((js_hz[2] - numpy.mean(js_hz[2])) / numpy.mean(js_hz[2]))),\n", ")\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(\"Adiabatic: action conservation (high-z orbit)\");" ] }, { "cell_type": "markdown", "id": "d6c7e8f9a0b1", "metadata": { "papermill": { "duration": 0.003597, "end_time": "2026-05-16T13:40:19.388330+00:00", "exception": false, "start_time": "2026-05-16T13:40:19.384733+00:00", "status": "completed" }, "tags": [] }, "source": [ "The radial action is now only conserved to about ten percent and the\n", "vertical action to approximately five percent. The [Staeckel approximation](staeckel.ipynb)\n", "does much better for the same orbit (better than a percent for $J_R$\n", "and a fraction of a percent for $J_z$):" ] }, { "cell_type": "code", "execution_count": 9, "id": "ba063284", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:40:19.396917Z", "iopub.status.busy": "2026-05-16T13:40:19.396728Z", "iopub.status.idle": "2026-05-16T13:40:19.683181Z", "shell.execute_reply": "2026-05-16T13:40:19.682172Z" }, "papermill": { "duration": 0.291968, "end_time": "2026-05-16T13:40:19.684225+00:00", "exception": false, "start_time": "2026-05-16T13:40:19.392257+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "jr_st, jphi_st, jz_st = aAS(\n", " o_hz.R(ts), o_hz.vR(ts), o_hz.vT(ts), o_hz.z(ts), o_hz.vz(ts)\n", ")\n", "\n", "plt.plot(ts, numpy.log10(numpy.fabs((jr_st - numpy.mean(jr_st)) / numpy.mean(jr_st))))\n", "plt.plot(ts, numpy.log10(numpy.fabs((jz_st - numpy.mean(jz_st)) / numpy.mean(jz_st))))\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": "e7d8f9a0b1c2", "metadata": { "papermill": { "duration": 0.004052, "end_time": "2026-05-16T13:40:19.692678+00:00", "exception": false, "start_time": "2026-05-16T13:40:19.688626+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Grid-based interpolation: actionAngleAdiabaticGrid\n", "\n", "Like the Staeckel method, the adiabatic approximation can be sped up\n", "with a precomputed grid. The grid-based calculation can be significantly\n", "faster than even the direct C implementation (up to 150x for large arrays):" ] }, { "cell_type": "code", "execution_count": 10, "id": "f8e9a0b1c2d3", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:40:19.701997Z", "iopub.status.busy": "2026-05-16T13:40:19.701789Z", "iopub.status.idle": "2026-05-16T13:40:19.880895Z", "shell.execute_reply": "2026-05-16T13:40:19.880337Z" }, "papermill": { "duration": 0.185535, "end_time": "2026-05-16T13:40:19.882386+00:00", "exception": false, "start_time": "2026-05-16T13:40:19.696851+00:00", "status": "completed" }, "tags": [] }, "outputs": [], "source": [ "from galpy.actionAngle import actionAngleAdiabaticGrid\n", "\n", "aAAG = actionAngleAdiabaticGrid(\n", " pot=MWPotential2014, c=True, nR=31, nEz=31, nEr=51, nLz=51\n", ")" ] }, { "cell_type": "markdown", "id": "e0128625", "metadata": { "papermill": { "duration": 0.004091, "end_time": "2026-05-16T13:40:19.892580+00:00", "exception": false, "start_time": "2026-05-16T13:40:19.888489+00:00", "status": "completed" }, "tags": [] }, "source": [ "Compare the grid-based and direct calculations:" ] }, { "cell_type": "code", "execution_count": 11, "id": "a9f0b1c2d3e4", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:40:19.901985Z", "iopub.status.busy": "2026-05-16T13:40:19.901750Z", "iopub.status.idle": "2026-05-16T13:40:19.910985Z", "shell.execute_reply": "2026-05-16T13:40:19.906796Z" }, "papermill": { "duration": 0.015008, "end_time": "2026-05-16T13:40:19.911778+00:00", "exception": false, "start_time": "2026-05-16T13:40:19.896770+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "J_R: direct = 0.013525, grid = 0.013527, difference = 0.000002\n", "J_z: direct = 0.000469, grid = 0.000477, difference = 0.000008\n" ] } ], "source": [ "jr_direct, _, jz_direct = aAA(1.0, 0.1, 1.1, 0.0, 0.05)\n", "jr_grid, _, jz_grid = aAAG(1.0, 0.1, 1.1, 0.0, 0.05)\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": "b0a1c2d3e4f5", "metadata": { "papermill": { "duration": 0.004041, "end_time": "2026-05-16T13:40:19.920609+00:00", "exception": false, "start_time": "2026-05-16T13:40:19.916568+00:00", "status": "completed" }, "tags": [] }, "source": [ "The grid-based and direct calculations agree well. For `MWPotential2014`\n", "and other more complicated potentials (such as those involving a\n", "double-exponential disk), the overhead of setting up the grid is worth it\n", "when evaluating more than a few thousand actions." ] }, { "cell_type": "markdown", "id": "bd4e0111", "metadata": { "papermill": { "duration": 0.003943, "end_time": "2026-05-16T13:40:19.928690+00:00", "exception": false, "start_time": "2026-05-16T13:40:19.924747+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Using the Orbit interface\n", "\n", "Actions and orbital parameters can also be computed directly from `Orbit` objects\n", "using `o.jr()`, `o.jz()`, `o.e(analytic=True, type='adiabatic')`, etc. The `Orbit`\n", "interface auto-determines the action-angle method and `delta` parameter. For the\n", "adiabatic approximation, specify `type='adiabatic'` when computing orbital\n", "parameters analytically:" ] }, { "cell_type": "code", "execution_count": 12, "id": "eccf76c8", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:40:19.937911Z", "iopub.status.busy": "2026-05-16T13:40:19.937712Z", "iopub.status.idle": "2026-05-16T13:40:19.958675Z", "shell.execute_reply": "2026-05-16T13:40:19.957268Z" }, "papermill": { "duration": 0.026989, "end_time": "2026-05-16T13:40:19.959785+00:00", "exception": false, "start_time": "2026-05-16T13:40:19.932796+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Eccentricity (adiabatic): 0.13474166226188383\n", "Apocenter (adiabatic): 1.2838439076540742\n", "zmax (adiabatic): 0.018896497628549124\n", "\n", "Eccentricity (staeckel): 0.13508986478572993\n", "Apocenter (staeckel): 1.2848214705139953\n", "zmax (staeckel): 0.022401525812555927\n" ] } ], "source": [ "# Using the Orbit interface for the adiabatic approximation\n", "o_orb = Orbit([1.0, 0.1, 1.1, 0.0, 0.05])\n", "\n", "# Orbital parameters with the adiabatic approximation (no integration needed)\n", "print(\n", " \"Eccentricity (adiabatic):\",\n", " o_orb.e(analytic=True, pot=MWPotential2014, type=\"adiabatic\"),\n", ")\n", "print(\n", " \"Apocenter (adiabatic):\",\n", " o_orb.rap(analytic=True, pot=MWPotential2014, type=\"adiabatic\"),\n", ")\n", "print(\n", " \"zmax (adiabatic):\",\n", " o_orb.zmax(analytic=True, pot=MWPotential2014, type=\"adiabatic\"),\n", ")\n", "\n", "# Compare with Staeckel (generally more accurate)\n", "print(\n", " \"\\nEccentricity (staeckel):\",\n", " o_orb.e(analytic=True, pot=MWPotential2014, type=\"staeckel\"),\n", ")\n", "print(\n", " \"Apocenter (staeckel):\",\n", " o_orb.rap(analytic=True, pot=MWPotential2014, type=\"staeckel\"),\n", ")\n", "print(\n", " \"zmax (staeckel):\", o_orb.zmax(analytic=True, pot=MWPotential2014, type=\"staeckel\")\n", ")" ] } ], "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": 7.05957, "end_time": "2026-05-16T13:40:20.581484+00:00", "environment_variables": {}, "exception": null, "input_path": "doc/source/tutorials/action_angle/adiabatic.ipynb", "output_path": "doc/source/tutorials/action_angle/adiabatic.ipynb", "parameters": {}, "start_time": "2026-05-16T13:40:13.521914+00:00", "version": "2.7.0" } }, "nbformat": 4, "nbformat_minor": 5 }