{ "cells": [ { "cell_type": "markdown", "id": "a1b2c3d4e5f6", "metadata": { "papermill": { "duration": 0.004288, "end_time": "2026-06-30T01:07:24.474418+00:00", "exception": false, "start_time": "2026-06-30T01:07:24.470130+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": "2026-06-30T01:07:24.482376Z", "iopub.status.busy": "2026-06-30T01:07:24.482134Z", "iopub.status.idle": "2026-06-30T01:07:26.766285Z", "shell.execute_reply": "2026-06-30T01:07:26.765316Z" }, "papermill": { "duration": 2.288882, "end_time": "2026-06-30T01:07:26.766974+00:00", "exception": false, "start_time": "2026-06-30T01:07:24.478092+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": 0.003679, "end_time": "2026-06-30T01:07:26.780377+00:00", "exception": false, "start_time": "2026-06-30T01:07:26.776698+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": "2026-06-30T01:07:26.791001Z", "iopub.status.busy": "2026-06-30T01:07:26.790550Z", "iopub.status.idle": "2026-06-30T01:07:26.801069Z", "shell.execute_reply": "2026-06-30T01:07:26.800312Z" }, "papermill": { "duration": 0.0171, "end_time": "2026-06-30T01:07:26.802030+00:00", "exception": false, "start_time": "2026-06-30T01:07:26.784930+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": 0.002901, "end_time": "2026-06-30T01:07:26.808005+00:00", "exception": false, "start_time": "2026-06-30T01:07:26.805104+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": "2026-06-30T01:07:26.818741Z", "iopub.status.busy": "2026-06-30T01:07:26.818540Z", "iopub.status.idle": "2026-06-30T01:07:26.971705Z", "shell.execute_reply": "2026-06-30T01:07:26.970714Z" }, "papermill": { "duration": 0.161599, "end_time": "2026-06-30T01:07:26.972557+00:00", "exception": false, "start_time": "2026-06-30T01:07:26.810958+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": 0.0029, "end_time": "2026-06-30T01:07:26.978630+00:00", "exception": false, "start_time": "2026-06-30T01:07:26.975730+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": 0.002848, "end_time": "2026-06-30T01:07:26.984488+00:00", "exception": false, "start_time": "2026-06-30T01:07:26.981640+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": "2026-06-30T01:07:26.991440Z", "iopub.status.busy": "2026-06-30T01:07:26.991205Z", "iopub.status.idle": "2026-06-30T01:07:27.006540Z", "shell.execute_reply": "2026-06-30T01:07:27.005537Z" }, "papermill": { "duration": 0.019858, "end_time": "2026-06-30T01:07:27.007274+00:00", "exception": false, "start_time": "2026-06-30T01:07:26.987416+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": 0.003249, "end_time": "2026-06-30T01:07:27.014439+00:00", "exception": false, "start_time": "2026-06-30T01:07:27.011190+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": "2026-06-30T01:07:27.021937Z", "iopub.status.busy": "2026-06-30T01:07:27.021714Z", "iopub.status.idle": "2026-06-30T01:07:27.036496Z", "shell.execute_reply": "2026-06-30T01:07:27.035546Z" }, "papermill": { "duration": 0.019704, "end_time": "2026-06-30T01:07:27.037132+00:00", "exception": false, "start_time": "2026-06-30T01:07:27.017428+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": 0.002909, "end_time": "2026-06-30T01:07:27.043098+00:00", "exception": false, "start_time": "2026-06-30T01:07:27.040189+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": "2026-06-30T01:07:27.050196Z", "iopub.status.busy": "2026-06-30T01:07:27.049999Z", "iopub.status.idle": "2026-06-30T01:07:27.675438Z", "shell.execute_reply": "2026-06-30T01:07:27.674342Z" }, "papermill": { "duration": 0.630093, "end_time": "2026-06-30T01:07:27.676104+00:00", "exception": false, "start_time": "2026-06-30T01:07:27.046011+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": 0.003219, "end_time": "2026-06-30T01:07:27.682871+00:00", "exception": false, "start_time": "2026-06-30T01:07:27.679652+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": "2026-06-30T01:07:27.690624Z", "iopub.status.busy": "2026-06-30T01:07:27.690280Z", "iopub.status.idle": "2026-06-30T01:07:28.011055Z", "shell.execute_reply": "2026-06-30T01:07:28.010134Z" }, "papermill": { "duration": 0.325699, "end_time": "2026-06-30T01:07:28.011862+00:00", "exception": false, "start_time": "2026-06-30T01:07:27.686163+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "aAIA_bad.plot(*obs, type=\"jr\");" ] }, { "cell_type": "markdown", "id": "d6e7f8a9b0c1", "metadata": { "papermill": { "duration": 0.003468, "end_time": "2026-06-30T01:07:28.019885+00:00", "exception": false, "start_time": "2026-06-30T01:07:28.016417+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": "2026-06-30T01:07:28.027767Z", "iopub.status.busy": "2026-06-30T01:07:28.027553Z", "iopub.status.idle": "2026-06-30T01:07:28.344541Z", "shell.execute_reply": "2026-06-30T01:07:28.343492Z" }, "papermill": { "duration": 0.322005, "end_time": "2026-06-30T01:07:28.345297+00:00", "exception": false, "start_time": "2026-06-30T01:07:28.023292+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "aAIA.plot(*obs, type=\"jr\");" ] }, { "cell_type": "markdown", "id": "f8a9b0c1d2e3", "metadata": { "papermill": { "duration": 0.003703, "end_time": "2026-06-30T01:07:28.353803+00:00", "exception": false, "start_time": "2026-06-30T01:07:28.350100+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": "2026-06-30T01:07:28.362102Z", "iopub.status.busy": "2026-06-30T01:07:28.361905Z", "iopub.status.idle": "2026-06-30T01:07:28.836552Z", "shell.execute_reply": "2026-06-30T01:07:28.835598Z" }, "papermill": { "duration": 0.48039, "end_time": "2026-06-30T01:07:28.837865+00:00", "exception": false, "start_time": "2026-06-30T01:07:28.357475+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": 0.004113, "end_time": "2026-06-30T01:07:28.847688+00:00", "exception": false, "start_time": "2026-06-30T01:07:28.843575+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": "2026-06-30T01:07:28.857164Z", "iopub.status.busy": "2026-06-30T01:07:28.856951Z", "iopub.status.idle": "2026-06-30T01:07:29.320340Z", "shell.execute_reply": "2026-06-30T01:07:29.319344Z" }, "papermill": { "duration": 0.469022, "end_time": "2026-06-30T01:07:29.321021+00:00", "exception": false, "start_time": "2026-06-30T01:07:28.851999+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": 0.004181, "end_time": "2026-06-30T01:07:29.330855+00:00", "exception": false, "start_time": "2026-06-30T01:07:29.326674+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": "2026-06-30T01:07:29.340566Z", "iopub.status.busy": "2026-06-30T01:07:29.340352Z", "iopub.status.idle": "2026-06-30T01:07:29.451001Z", "shell.execute_reply": "2026-06-30T01:07:29.449903Z" }, "papermill": { "duration": 0.116419, "end_time": "2026-06-30T01:07:29.451663+00:00", "exception": false, "start_time": "2026-06-30T01:07:29.335244+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": 0.004156, "end_time": "2026-06-30T01:07:29.460277+00:00", "exception": false, "start_time": "2026-06-30T01:07:29.456121+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": "2026-06-30T01:07:29.469926Z", "iopub.status.busy": "2026-06-30T01:07:29.469725Z", "iopub.status.idle": "2026-06-30T01:07:29.567765Z", "shell.execute_reply": "2026-06-30T01:07:29.566628Z" }, "papermill": { "duration": 0.104037, "end_time": "2026-06-30T01:07:29.568534+00:00", "exception": false, "start_time": "2026-06-30T01:07:29.464497+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": 0.004587, "end_time": "2026-06-30T01:07:29.578412+00:00", "exception": false, "start_time": "2026-06-30T01:07:29.573825+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": "2026-06-30T01:07:29.588349Z", "iopub.status.busy": "2026-06-30T01:07:29.588113Z", "iopub.status.idle": "2026-06-30T01:07:29.656785Z", "shell.execute_reply": "2026-06-30T01:07:29.655889Z" }, "papermill": { "duration": 0.074644, "end_time": "2026-06-30T01:07:29.657506+00:00", "exception": false, "start_time": "2026-06-30T01:07:29.582862+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": 0.004087, "end_time": "2026-06-30T01:07:29.666037+00:00", "exception": false, "start_time": "2026-06-30T01:07:29.661950+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": "2026-06-30T01:07:29.675839Z", "iopub.status.busy": "2026-06-30T01:07:29.675624Z", "iopub.status.idle": "2026-06-30T01:07:29.718611Z", "shell.execute_reply": "2026-06-30T01:07:29.717391Z" }, "papermill": { "duration": 0.049065, "end_time": "2026-06-30T01:07:29.719380+00:00", "exception": false, "start_time": "2026-06-30T01:07:29.670315+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": "3.13.14" }, "papermill": { "default_parameters": {}, "duration": 6.827325, "end_time": "2026-06-30T01:07:30.440182+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": "2026-06-30T01:07:23.612857+00:00", "version": "2.7.0" } }, "nbformat": 4, "nbformat_minor": 5 }