{ "cells": [ { "cell_type": "markdown", "id": "a1b2c3d4e5f6", "metadata": { "papermill": { "duration": 0.003733, "end_time": "2026-05-16T13:40:32.492530+00:00", "exception": false, "start_time": "2026-05-16T13:40:32.488797+00:00", "status": "completed" }, "tags": [] }, "source": [ "# Action-Angle Coordinates: Orbit Integration-based (IsochroneApprox)\n", "\n", "The `actionAngleIsochroneApprox` method ([Bovy 2014](http://adsabs.harvard.edu/abs/2014ApJ...795...95B))\n", "computes actions by integrating the orbit. By employing an auxiliary isochrone potential, ``actionAngleIsochroneApprox`` calculates action-angle variables by arithmetic operations on the actions and angles calculated in the auxiliary potential along an orbit (integrated in the true potential). Full details can be found in Appendix A of Bovy (2014). This method is completely\n", "general for any static potential and can calculate actions to any desired\n", "precision for any orbit, including orbits in triaxial potentials.\n", "\n", "The [adiabatic](adiabatic.ipynb) and [Staeckel](staeckel.ipynb) approximations are good for stars on\n", "close-to-circular orbits, but they break down for more eccentric orbits\n", "(specifically, orbits for which the radial and/or vertical action is of\n", "a similar magnitude as the angular momentum). The `actionAngleIsochroneApprox`\n", "method overcomes this limitation." ] }, { "cell_type": "code", "execution_count": 1, "id": "b2c3d4e5f6a7", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:40:32.500031Z", "iopub.status.busy": "2026-05-16T13:40:32.499795Z", "iopub.status.idle": "2026-05-16T13:40:34.879724Z", "shell.execute_reply": "2026-05-16T13:40:34.878941Z" }, "papermill": { "duration": 2.385127, "end_time": "2026-05-16T13:40:34.880943+00:00", "exception": false, "start_time": "2026-05-16T13:40:32.495816+00:00", "status": "completed" }, "tags": [] }, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy\n", "import matplotlib.pyplot as plt\n", "from galpy.potential import LogarithmicHaloPotential\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": 0.002887, "end_time": "2026-05-16T13:40:34.887150+00:00", "exception": false, "start_time": "2026-05-16T13:40:34.884263+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Setup\n", "\n", "We set up the method for a flattened logarithmic potential. The key parameter\n", "is `b`, the scale parameter of the auxiliary isochrone potential (this can\n", "also be specified as an `IsochronePotential` instance through `ip=`):" ] }, { "cell_type": "code", "execution_count": 2, "id": "d4e5f6a7b8c9", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:40:34.894283Z", "iopub.status.busy": "2026-05-16T13:40:34.893921Z", "iopub.status.idle": "2026-05-16T13:40:34.904003Z", "shell.execute_reply": "2026-05-16T13:40:34.903127Z" }, "papermill": { "duration": 0.014469, "end_time": "2026-05-16T13:40:34.904685+00:00", "exception": false, "start_time": "2026-05-16T13:40:34.890216+00:00", "status": "completed" }, "tags": [] }, "outputs": [], "source": [ "from galpy.actionAngle import actionAngleIsochroneApprox\n", "\n", "lp = LogarithmicHaloPotential(normalize=1.0, q=0.9)\n", "aAIA = actionAngleIsochroneApprox(pot=lp, b=0.8)" ] }, { "cell_type": "markdown", "id": "e5f6a7b8c9d0", "metadata": { "papermill": { "duration": 0.00298, "end_time": "2026-05-16T13:40:34.910796+00:00", "exception": false, "start_time": "2026-05-16T13:40:34.907816+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Estimating the optimal b parameter\n", "\n", "The `estimateBIsochrone` function estimates a good scale parameter for the\n", "auxiliary isochrone potential. When given multiple $R$ and $z$ values (e.g.,\n", "from an orbit), it returns the minimum, median, and maximum $b$:" ] }, { "cell_type": "code", "execution_count": 3, "id": "f6a7b8c9d0e1", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:40:34.917790Z", "iopub.status.busy": "2026-05-16T13:40:34.917620Z", "iopub.status.idle": "2026-05-16T13:40:35.092328Z", "shell.execute_reply": "2026-05-16T13:40:35.091308Z" }, "papermill": { "duration": 0.179207, "end_time": "2026-05-16T13:40:35.093035+00:00", "exception": false, "start_time": "2026-05-16T13:40:34.913828+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "b_min = 0.7807, b_median = 1.2266, b_max = 1.4899\n" ] } ], "source": [ "from galpy.actionAngle import estimateBIsochrone\n", "\n", "# An orbit similar to GD-1\n", "obs = numpy.array(\n", " [1.56148083, 0.35081535, -1.15481504, 0.88719443, -0.47713334, 0.12019596]\n", ")\n", "\n", "o = Orbit(obs)\n", "ts = numpy.linspace(0.0, 100.0, 1001)\n", "o.integrate(ts, lp)\n", "\n", "bmin, bmed, bmax = estimateBIsochrone(lp, o.R(ts), o.z(ts))\n", "print(f\"b_min = {bmin:.4f}, b_median = {bmed:.4f}, b_max = {bmax:.4f}\")" ] }, { "cell_type": "markdown", "id": "a7b8c9d0e1f2", "metadata": { "papermill": { "duration": 0.002883, "end_time": "2026-05-16T13:40:35.099180+00:00", "exception": false, "start_time": "2026-05-16T13:40:35.096297+00:00", "status": "completed" }, "tags": [] }, "source": [ "Experience shows that a scale parameter somewhere in this range makes sure\n", "that the angles go through the full $[0, 2\\pi]$ range, which is required for the method. If they do not,\n", "galpy will raise a warning." ] }, { "cell_type": "markdown", "id": "b8c9d0e1f2a3", "metadata": { "papermill": { "duration": 0.002855, "end_time": "2026-05-16T13:40:35.105086+00:00", "exception": false, "start_time": "2026-05-16T13:40:35.102231+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Computing actions\n", "\n", "Note that `actionAngleIsochroneApprox` returns arrays even for single inputs:" ] }, { "cell_type": "code", "execution_count": 4, "id": "c9d0e1f2a3b4", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:40:35.112312Z", "iopub.status.busy": "2026-05-16T13:40:35.111907Z", "iopub.status.idle": "2026-05-16T13:40:35.127299Z", "shell.execute_reply": "2026-05-16T13:40:35.126483Z" }, "papermill": { "duration": 0.019921, "end_time": "2026-05-16T13:40:35.128068+00:00", "exception": false, "start_time": "2026-05-16T13:40:35.108147+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "J_R = 0.166050, L_z = -1.803222, J_z = 0.507044\n" ] } ], "source": [ "jr, jphi, jz = aAIA(*obs)\n", "print(f\"J_R = {jr[0]:.6f}, L_z = {jphi[0]:.6f}, J_z = {jz[0]:.6f}\")" ] }, { "cell_type": "markdown", "id": "d0e1f2a3b4c5", "metadata": { "papermill": { "duration": 0.002941, "end_time": "2026-05-16T13:40:35.134174+00:00", "exception": false, "start_time": "2026-05-16T13:40:35.131233+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Convergence: the importance of choosing a good b\n", "\n", "An essential requirement is that the angles calculated in the auxiliary\n", "potential go through the full range $[0, 2\\pi]$. If this is not the case,\n", "galpy will raise a warning and the actions will not be reliable.\n", "\n", "Let's see what happens with a poor choice of `b`:" ] }, { "cell_type": "code", "execution_count": 5, "id": "e1f2a3b4c5d6", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:40:35.141249Z", "iopub.status.busy": "2026-05-16T13:40:35.141053Z", "iopub.status.idle": "2026-05-16T13:40:35.155315Z", "shell.execute_reply": "2026-05-16T13:40:35.154526Z" }, "papermill": { "duration": 0.018972, "end_time": "2026-05-16T13:40:35.156251+00:00", "exception": false, "start_time": "2026-05-16T13:40:35.137279+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Warning: Using C implementation to integrate orbits\n", "J_R (b=1.5) = 0.011201 vs J_R (b=0.8) = 0.166050\n" ] } ], "source": [ "import warnings\n", "\n", "aAIA_bad = actionAngleIsochroneApprox(pot=lp, b=1.5)\n", "with warnings.catch_warnings(record=True) as w:\n", " warnings.simplefilter(\"always\")\n", " jr_bad, _, jz_bad = aAIA_bad(*obs)\n", " if w:\n", " print(f\"Warning: {w[0].message}\")\n", "print(f\"J_R (b=1.5) = {jr_bad[0]:.6f} vs J_R (b=0.8) = {jr[0]:.6f}\")" ] }, { "cell_type": "markdown", "id": "f2a3b4c5d6e7", "metadata": { "papermill": { "duration": 0.005493, "end_time": "2026-05-16T13:40:35.164936+00:00", "exception": false, "start_time": "2026-05-16T13:40:35.159443+00:00", "status": "completed" }, "tags": [] }, "source": [ "## The plot() method: inspecting convergence\n", "\n", "We can inspect how the angles increase and how the actions converge using\n", "the `aAIA.plot` function.\n", "\n", "First, let's look at the poor `b=1.5` case. The radial vs. vertical angle\n", "in the auxiliary potential shows very non-linear behavior:" ] }, { "cell_type": "code", "execution_count": 6, "id": "a3b4c5d6e7f8", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:40:35.172036Z", "iopub.status.busy": "2026-05-16T13:40:35.171850Z", "iopub.status.idle": "2026-05-16T13:40:35.779952Z", "shell.execute_reply": "2026-05-16T13:40:35.778800Z" }, "papermill": { "duration": 0.612552, "end_time": "2026-05-16T13:40:35.780632+00:00", "exception": false, "start_time": "2026-05-16T13:40:35.168080+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "aAIA_bad.plot(*obs, type=\"araz\");" ] }, { "cell_type": "markdown", "id": "b4c5d6e7f8a9", "metadata": { "papermill": { "duration": 0.003626, "end_time": "2026-05-16T13:40:35.788225+00:00", "exception": false, "start_time": "2026-05-16T13:40:35.784599+00:00", "status": "completed" }, "tags": [] }, "source": [ "The convergence of $J_R$ is also very slow:" ] }, { "cell_type": "code", "execution_count": 7, "id": "c5d6e7f8a9b0", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:40:35.796427Z", "iopub.status.busy": "2026-05-16T13:40:35.796214Z", "iopub.status.idle": "2026-05-16T13:40:36.119345Z", "shell.execute_reply": "2026-05-16T13:40:36.118363Z" }, "papermill": { "duration": 0.328353, "end_time": "2026-05-16T13:40:36.120183+00:00", "exception": false, "start_time": "2026-05-16T13:40:35.791830+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "aAIA_bad.plot(*obs, type=\"jr\");" ] }, { "cell_type": "markdown", "id": "d6e7f8a9b0c1", "metadata": { "papermill": { "duration": 0.003614, "end_time": "2026-05-16T13:40:36.127849+00:00", "exception": false, "start_time": "2026-05-16T13:40:36.124235+00:00", "status": "completed" }, "tags": [] }, "source": [ "Now compare with the good `b=0.8` choice, which shows quick convergence:" ] }, { "cell_type": "code", "execution_count": 8, "id": "e7f8a9b0c1d2", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:40:36.136345Z", "iopub.status.busy": "2026-05-16T13:40:36.136137Z", "iopub.status.idle": "2026-05-16T13:40:36.461308Z", "shell.execute_reply": "2026-05-16T13:40:36.460489Z" }, "papermill": { "duration": 0.330721, "end_time": "2026-05-16T13:40:36.462337+00:00", "exception": false, "start_time": "2026-05-16T13:40:36.131616+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "aAIA.plot(*obs, type=\"jr\");" ] }, { "cell_type": "markdown", "id": "f8a9b0c1d2e3", "metadata": { "papermill": { "duration": 0.003807, "end_time": "2026-05-16T13:40:36.470269+00:00", "exception": false, "start_time": "2026-05-16T13:40:36.466462+00:00", "status": "completed" }, "tags": [] }, "source": [ "The angle-angle plot with `b=0.8` shows much more linear behavior:" ] }, { "cell_type": "code", "execution_count": 9, "id": "a9b0c1d2e3f4", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:40:36.479229Z", "iopub.status.busy": "2026-05-16T13:40:36.478994Z", "iopub.status.idle": "2026-05-16T13:40:36.945121Z", "shell.execute_reply": "2026-05-16T13:40:36.944164Z" }, "papermill": { "duration": 0.471809, "end_time": "2026-05-16T13:40:36.946001+00:00", "exception": false, "start_time": "2026-05-16T13:40:36.474192+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "aAIA.plot(*obs, type=\"araz\");" ] }, { "cell_type": "markdown", "id": "b0c1d2e3f4a5", "metadata": { "papermill": { "duration": 0.004284, "end_time": "2026-05-16T13:40:36.955007+00:00", "exception": false, "start_time": "2026-05-16T13:40:36.950723+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Deperioding the angles\n", "\n", "We can remove the periodic behavior from the angles using `deperiod=True`,\n", "which clearly shows that they increase close-to-linearly with time:" ] }, { "cell_type": "code", "execution_count": 10, "id": "c1d2e3f4a5b6", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:40:36.964730Z", "iopub.status.busy": "2026-05-16T13:40:36.964554Z", "iopub.status.idle": "2026-05-16T13:40:37.425782Z", "shell.execute_reply": "2026-05-16T13:40:37.424830Z" }, "papermill": { "duration": 0.467057, "end_time": "2026-05-16T13:40:37.426470+00:00", "exception": false, "start_time": "2026-05-16T13:40:36.959413+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "aAIA.plot(*obs, type=\"araz\", deperiod=True);" ] }, { "cell_type": "markdown", "id": "d2e3f4a5b6c7", "metadata": { "papermill": { "duration": 0.004379, "end_time": "2026-05-16T13:40:37.435840+00:00", "exception": false, "start_time": "2026-05-16T13:40:37.431461+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Computing frequencies and angles\n", "\n", "With a good auxiliary potential, we can also compute frequencies and angles.\n", "The `maxn` argument controls the maximum $n$ for which sinusoidal wiggles\n", "are removed:" ] }, { "cell_type": "code", "execution_count": 11, "id": "e3f4a5b6c7d8", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:40:37.445764Z", "iopub.status.busy": "2026-05-16T13:40:37.445545Z", "iopub.status.idle": "2026-05-16T13:40:37.537815Z", "shell.execute_reply": "2026-05-16T13:40:37.536818Z" }, "papermill": { "duration": 0.098316, "end_time": "2026-05-16T13:40:37.538652+00:00", "exception": false, "start_time": "2026-05-16T13:40:37.440336+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "J_R = 0.163924, L_z = -1.803222, J_z = 0.509999\n", "Omega_R = 0.558089, Omega_phi = -0.384758, Omega_z = 0.421997\n", "theta_R = 0.187397, theta_phi = 0.313182, theta_z = 2.184257\n" ] } ], "source": [ "result = aAIA.actionsFreqsAngles(*obs)\n", "print(f\"J_R = {result[0][0]:.6f}, L_z = {result[1][0]:.6f}, J_z = {result[2][0]:.6f}\")\n", "print(\n", " f\"Omega_R = {result[3][0]:.6f}, Omega_phi = {result[4][0]:.6f}, Omega_z = {result[5][0]:.6f}\"\n", ")\n", "print(\n", " f\"theta_R = {result[6][0]:.6f}, theta_phi = {result[7][0]:.6f}, theta_z = {result[8][0]:.6f}\"\n", ")" ] }, { "cell_type": "markdown", "id": "4e110251", "metadata": { "papermill": { "duration": 0.004498, "end_time": "2026-05-16T13:40:37.548070+00:00", "exception": false, "start_time": "2026-05-16T13:40:37.543572+00:00", "status": "completed" }, "tags": [] }, "source": [ "Raising `maxn` from 3 (default) to 4 shows little change, confirming convergence:" ] }, { "cell_type": "code", "execution_count": 12, "id": "f4a5b6c7d8e9", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:40:37.558375Z", "iopub.status.busy": "2026-05-16T13:40:37.558149Z", "iopub.status.idle": "2026-05-16T13:40:37.638084Z", "shell.execute_reply": "2026-05-16T13:40:37.637131Z" }, "papermill": { "duration": 0.086286, "end_time": "2026-05-16T13:40:37.638903+00:00", "exception": false, "start_time": "2026-05-16T13:40:37.552617+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "J_R (maxn=3) = 0.163924, J_R (maxn=4) = 0.163924\n", "Omega_R (maxn=3) = 0.558089, Omega_R (maxn=4) = 0.558088\n" ] } ], "source": [ "# Raising maxn from 3 (default) to 4 shows little change, confirming convergence\n", "result4 = aAIA.actionsFreqsAngles(*obs, maxn=4)\n", "print(f\"J_R (maxn=3) = {result[0][0]:.6f}, J_R (maxn=4) = {result4[0][0]:.6f}\")\n", "print(f\"Omega_R (maxn=3) = {result[3][0]:.6f}, Omega_R (maxn=4) = {result4[3][0]:.6f}\")" ] }, { "cell_type": "markdown", "id": "a5b6c7d8e9f0", "metadata": { "papermill": { "duration": 0.004554, "end_time": "2026-05-16T13:40:37.648397+00:00", "exception": false, "start_time": "2026-05-16T13:40:37.643843+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Triaxial potentials\n", "\n", "This technique also works for triaxial potentials by specifying `nonaxi=True`.\n", "This tells the code to also use the azimuthal angle variable in the\n", "auxiliary potential (unnecessary in axisymmetric potentials where $L_z$ is\n", "conserved):" ] }, { "cell_type": "code", "execution_count": 13, "id": "b6c7d8e9f0a1", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:40:37.658635Z", "iopub.status.busy": "2026-05-16T13:40:37.658438Z", "iopub.status.idle": "2026-05-16T13:40:37.742163Z", "shell.execute_reply": "2026-05-16T13:40:37.741245Z" }, "papermill": { "duration": 0.089927, "end_time": "2026-05-16T13:40:37.743003+00:00", "exception": false, "start_time": "2026-05-16T13:40:37.653076+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Triaxial J_R (nonaxi=True) = 0.030449\n", "Triaxial J_phi (nonaxi=True) = -1.781219\n", "Triaxial J_z (nonaxi=True) = 0.531130\n" ] } ], "source": [ "from galpy.potential import TriaxialNFWPotential\n", "\n", "# A MW-like triaxial halo setup (roughly NFW scale radius a~2 in galpy units)\n", "tp = TriaxialNFWPotential(normalize=1.0, a=2.0, b=0.95, c=0.85)\n", "aAIA_triax = actionAngleIsochroneApprox(pot=tp, b=0.8)\n", "\n", "jr_nonaxi, jphi_nonaxi, jz_nonaxi = aAIA_triax(*obs, nonaxi=True)\n", "\n", "print(f\"Triaxial J_R (nonaxi=True) = {jr_nonaxi[0]:.6f}\")\n", "print(f\"Triaxial J_phi (nonaxi=True) = {jphi_nonaxi[0]:.6f}\")\n", "print(f\"Triaxial J_z (nonaxi=True) = {jz_nonaxi[0]:.6f}\")" ] }, { "cell_type": "markdown", "id": "c7d8e9f0a1b2", "metadata": { "papermill": { "duration": 0.004616, "end_time": "2026-05-16T13:40:37.752649+00:00", "exception": false, "start_time": "2026-05-16T13:40:37.748033+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Comparison with other methods\n", "\n", "For a standard potential like `MWPotential2014`, we can compare all three\n", "forward methods:" ] }, { "cell_type": "code", "execution_count": 14, "id": "d8e9f0a1b2c3", "metadata": { "execution": { "iopub.execute_input": "2026-05-16T13:40:37.762863Z", "iopub.status.busy": "2026-05-16T13:40:37.762689Z", "iopub.status.idle": "2026-05-16T13:40:37.807708Z", "shell.execute_reply": "2026-05-16T13:40:37.806830Z" }, "papermill": { "duration": 0.051292, "end_time": "2026-05-16T13:40:37.808633+00:00", "exception": false, "start_time": "2026-05-16T13:40:37.757341+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Method J_R J_z\n", "Staeckel: 0.013636 0.000463\n", "Adiabatic: 0.013525 0.000469\n", "IsochroneApprox: 0.013629 0.000466\n" ] } ], "source": [ "from galpy.potential import MWPotential2014\n", "from galpy.actionAngle import actionAngleStaeckel, actionAngleAdiabatic\n", "\n", "aAS = actionAngleStaeckel(pot=MWPotential2014, delta=0.4, c=True)\n", "aAA = actionAngleAdiabatic(pot=MWPotential2014, c=True)\n", "aAIA_mw = actionAngleIsochroneApprox(pot=MWPotential2014, b=0.8)\n", "\n", "R, vR, vT, z, vz, phi = 1.0, 0.1, 1.1, 0.0, 0.05, 0.0\n", "\n", "jr_st, _, jz_st = aAS(R, vR, vT, z, vz)\n", "jr_ad, _, jz_ad = aAA(R, vR, vT, z, vz)\n", "jr_ia, _, jz_ia = aAIA_mw(R, vR, vT, z, vz, phi)\n", "\n", "print(\"Method J_R J_z\")\n", "print(f\"Staeckel: {jr_st.item():.6f} {jz_st.item():.6f}\")\n", "print(f\"Adiabatic: {jr_ad.item():.6f} {jz_ad.item():.6f}\")\n", "print(f\"IsochroneApprox: {jr_ia[0]:.6f} {jz_ia[0]:.6f}\")" ] } ], "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": 6.821818, "end_time": "2026-05-16T13:40:38.429668+00:00", "environment_variables": {}, "exception": null, "input_path": "doc/source/tutorials/action_angle/isochroneapprox.ipynb", "output_path": "doc/source/tutorials/action_angle/isochroneapprox.ipynb", "parameters": {}, "start_time": "2026-05-16T13:40:31.607850+00:00", "version": "2.7.0" } }, "nbformat": 4, "nbformat_minor": 5 }