{ "cells": [ { "cell_type": "markdown", "id": "ce2a897e-8c3f-4e07-9574-a55234e1cd25", "metadata": {}, "source": [ "# Orbital tools\n", "\n", "The ``galport.OrbitTools`` module is designed for analysing orbital datasets in the action-angle space. The orbits are derived either from high-resolution N-body simulations or from specific initial conditions integrated within a potential. Also, the module allows calculating frequencies using `naif` package and is connected with the module ``galport.OrbitClassifier`` classifies the orbits' set." ] }, { "cell_type": "code", "execution_count": 4, "id": "72293432-4bb1-4394-a579-03653fac0c7a", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "import galport\n", "import agama" ] }, { "cell_type": "markdown", "id": "501c14bf-f11e-45de-a798-56c4ff7e3bb8", "metadata": {}, "source": [ "Load coordinates, velocities and actions for the set of orbits" ] }, { "cell_type": "code", "execution_count": 5, "id": "0783cd3c-3c71-412b-83de-d3f3fef4bbbb", "metadata": {}, "outputs": [], "source": [ "xv_act = np.load('data/xv_act_0.npy')\n", "\n", "t = np.arange(0, 600.125, 0.125)\n", "xv = xv_act[:,:,0:6]\n", "act = xv_act[:,:,6:9]" ] }, { "cell_type": "markdown", "id": "51c4ad99-45dd-4253-83c2-6383130a4640", "metadata": {}, "source": [ "Find actions, angles and frequencies of the set of orbits if their coordinates are known." ] }, { "cell_type": "code", "execution_count": 6, "id": "d6d90529-125b-411c-a9fe-8dfc57bb8519", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 2.3 s, sys: 23 ms, total: 2.32 s\n", "Wall time: 2.32 s\n" ] } ], "source": [ "%%time\n", "\n", "# 100 orbits\n", "OT = galport.OrbitTools(t=t, xv=xv, act=act)\n", "data = OT.calculate_actions(secular=True)" ] }, { "cell_type": "code", "execution_count": 7, "id": "d0296e10-b215-40f6-a5aa-84d8981d6053", "metadata": {}, "outputs": [], "source": [ "t0 = 400\n", "n_t = int(t0)*8\n", "\n", "JR = data[:,n_t,0]\n", "Jz = data[:,n_t,1]\n", "Lz = data[:,n_t,2]\n", "\n", "JR_sec = data[:,n_t,9]\n", "Jz_sec = data[:,n_t,10]\n", "Lz_sec = data[:,n_t,11]\n", "\n", "kappa = data[:,n_t,6]\n", "omegaz = data[:,n_t,7]\n", "Omega = data[:,n_t,8]\n", "\n", "kappa_sec = data[:,n_t,12]\n", "omegaz_sec = data[:,n_t,13]\n", "Omega_sec = data[:,n_t,14]" ] }, { "cell_type": "code", "execution_count": 8, "id": "59b281df-cfb1-4fa2-9ee1-abc6e392b78e", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize=(10,3), constrained_layout=True)\n", "\n", "axes[0].plot([-0.25, 4.5], [0.2,0.2], color='C3', label='Resonance')\n", "axes[0].scatter(Lz, Omega - kappa/2, s=10, label='Averaged')\n", "axes[0].scatter(Lz_sec, Omega_sec - kappa_sec/2, s=10, label='Secular')\n", "axes[0].set_xlabel('$L_z$')\n", "axes[0].set_ylabel('$\\\\Omega - \\\\kappa/2$')\n", "axes[0].set_xlim(-0.25, 4.5)\n", "axes[0].legend()\n", "\n", "axes[1].plot([0., 0.3], [1,1], color='C3')\n", "axes[1].scatter(Jz, omegaz/kappa, s=10)\n", "axes[1].scatter(Jz_sec, omegaz_sec/kappa_sec, s=10)\n", "axes[1].set_xlabel('$J_z$')\n", "axes[1].set_ylabel('$\\\\omega_z/\\\\kappa$')\n", "axes[1].set_xlim(0, 0.3)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "8877628a-36f2-4a62-95d6-e48154b5ed99", "metadata": {}, "source": [ "Find actions, angles and frequencies of the set of orbits. In this case, the potential, the pattern speed and initial conditions ar known. Orbits are integrated forward and backward in time if ``reverse=True``." ] }, { "cell_type": "code", "execution_count": 9, "id": "7c5138c9-0bb3-42e0-911b-b473e6b01eb5", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100 orbits complete (219.8 orbits/s)\n", "100 orbits complete (227.3 orbits/s)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 29.4 s, sys: 66.4 ms, total: 29.5 s\n", "Wall time: 2.05 s\n" ] } ], "source": [ "%%time\n", "\n", "pot_gal = agama.Potential(file='data/Pot_non_CylSpline_t400.ini')\n", "pot_gal_sym = agama.Potential(file='data/Pot_axi_CylSpline_t400.ini')\n", "\n", "Omega = np.load('data/omega_p.npy')[400*8]\n", "phi = -np.load('data/phi_p.npy')[400*8]\n", "\n", "# Rotate coordinates and velocities\n", "xv0 = xv[:,400*8].copy()\n", "x0 = xv0[:, 0].copy()\n", "y0 = xv0[:, 1].copy()\n", "vx0 = xv0[:, 3].copy()\n", "vy0 = xv0[:, 4].copy()\n", "\n", "xv0[:, 0] = x0*np.cos(phi) - y0*np.sin(phi)\n", "xv0[:, 1] = x0*np.sin(phi) + y0*np.cos(phi)\n", "xv0[:, 3] = vx0*np.cos(phi) - vy0*np.sin(phi)\n", "xv0[:, 4] = vx0*np.sin(phi) + vy0*np.cos(phi)\n", "\n", "OT_int = galport.OrbitTools(\n", " xv0=xv0,\n", " Tint=100,\n", " Nint=1000,\n", " potential=pot_gal,\n", " axisym_potential=pot_gal_sym,\n", " reverse=True,\n", " Omega=Omega\n", ")\n", "\n", "data_int = OT_int.calculate_actions(secular=True, sidereal=True)" ] }, { "cell_type": "markdown", "id": "1affa0d2-5e53-4a95-a64d-02d0ef985a7a", "metadata": {}, "source": [ "Comparison of actions for individual orbits obtained from N-body simulations and integration in a fixed potential." ] }, { "cell_type": "markdown", "id": "aa182861-3529-414e-87bc-c7f839c0fd66", "metadata": {}, "source": [ "## Comparison of the individual orbits\n", "\n", "Actions for individual orbits obtained from N-body simulations and integration in a fixed potential." ] }, { "cell_type": "code", "execution_count": 10, "id": "6c4b358c-e299-4d53-90f8-48efbe1c5c5e", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "num = 7\n", "\n", "# Actions\n", "\n", "fig, axes = plt.subplots(3, constrained_layout=True, sharex=True)\n", "\n", "# JR\n", "JR = data[num,:,0]\n", "JR_sec = data[num,:,9]\n", "axes[0].plot(t, JR, label='Avarega, N-body')\n", "axes[0].plot(t, JR_sec, label='Secular, N-body')\n", "JR_int = data_int[num,:,0]\n", "JR_sec_int = data_int[num,:,9]\n", "axes[0].plot(OT_int.t + 400, JR_int, label='Avarega, integrating')\n", "axes[0].plot(OT_int.t + 400, JR_sec_int, label='Secular, integrating')\n", "axes[0].set_ylabel('$J_R$')\n", "axes[0].set_xlim(300,500)\n", "axes[0].plot([400,400], [-1,2], color='black')\n", "axes[0].set_ylim(0, 1.2*np.nanmax(JR_int))\n", "axes[0].legend(loc='lower center', bbox_to_anchor=(0.5, 1.0), ncol=2)\n", "\n", "# Jz\n", "Jz = data[num,:,1]\n", "Jz_sec = data[num,:,10]\n", "axes[1].plot(t, Jz)\n", "axes[1].plot(t, Jz_sec)\n", "Jz_int = data_int[num,:,1]\n", "Jz_sec_int = data_int[num,:,10]\n", "axes[1].plot(OT_int.t + 400, Jz_int)\n", "axes[1].plot(OT_int.t + 400, Jz_sec_int)\n", "\n", "axes[1].set_ylabel('$J_z$')\n", "axes[1].set_xlim(300,500)\n", "axes[1].plot([400,400], [-1,2], color='black')\n", "axes[1].set_ylim(-0.01, 1.2*np.nanmax(Jz_int))\n", "\n", "# Lz\n", "Lz = data[num,:,2]\n", "Lz_sec = data[num,:,11]\n", "axes[2].plot(t, Lz)\n", "axes[2].plot(t, Lz_sec)\n", "Lz_int = data_int[7,:,2]\n", "Lz_sec_int = data_int[7,:,11]\n", "axes[2].plot(OT_int.t + 400, Lz_int)\n", "axes[2].plot(OT_int.t + 400, Lz_sec_int)\n", "\n", "axes[2].set_ylabel('$L_z$')\n", "axes[2].set_xlabel('t')\n", "axes[2].set_xlim(300,500)\n", "axes[2].plot([400,400], [-1,2], color='black')\n", "axes[2].set_ylim(np.nanmin(Lz_int)-0.1, 1.2*np.nanmax(Lz_int))\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "9901abd9-386d-4bd9-b0bf-ac16bb171f50", "metadata": {}, "source": [ "## Comparison of the set of orbits" ] }, { "cell_type": "markdown", "id": "d57fd498-0f77-4b9b-b042-34c66dc5fd7e", "metadata": {}, "source": [ "Actions and frequencies at the middle of integretion time" ] }, { "cell_type": "code", "execution_count": 14, "id": "90dcbe8b-5a7b-4bdd-8e22-61f0f1eeaa30", "metadata": {}, "outputs": [], "source": [ "n_t = (len(OT_int.t) // 2)\n", "\n", "JR_int = data_int[:,n_t,0]\n", "Jz_int = data_int[:,n_t,1]\n", "Lz_int = data_int[:,n_t,2]\n", "\n", "JR_sec_int = data_int[:,n_t,9]\n", "Jz_sec_int = data_int[:,n_t,10]\n", "Lz_sec_int = data_int[:,n_t,11]\n", "\n", "kappa_int = data_int[:,n_t,6]\n", "omegaz_int = data_int[:,n_t,7]\n", "Omega_int = data_int[:,n_t,8]\n", "\n", "kappa_sec_int = data_int[:,n_t,12]\n", "omegaz_sec_int = data_int[:,n_t,13]\n", "Omega_sec_int = data_int[:,n_t,14]\n", "\n", "# Action and angle at the moment of time t=400\n", "\n", "t = 400\n", "n_t = int(t)*8\n", "\n", "JR = data[:,n_t,0]\n", "Jz = data[:,n_t,1]\n", "Lz = data[:,n_t,2]\n", "\n", "JR_sec = data[:,n_t,9]\n", "Jz_sec = data[:,n_t,10]\n", "Lz_sec = data[:,n_t,11]\n", "\n", "kappa = data[:,n_t,6]\n", "omegaz = data[:,n_t,7]\n", "Omega = data[:,n_t,8]\n", "\n", "kappa_sec = data[:,n_t,12]\n", "omegaz_sec = data[:,n_t,13]\n", "Omega_sec = data[:,n_t,14]" ] }, { "cell_type": "markdown", "id": "061d9b22-b655-4774-98c7-b4d98276b2dc", "metadata": {}, "source": [ "Comparison of actions for the set of orbits obtained from N-body simulations and integration in a fixed potential." ] }, { "cell_type": "code", "execution_count": 13, "id": "65fdcce4-a440-40f2-a2d8-07d3d6d91b65", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def plot_comparison(ax, x, y, x_label, y_label):\n", " ax.set_aspect('equal')\n", " ax.plot([0, np.nanmax(x)], [0.,np.nanmax(x)], color='black', alpha=0.7)\n", " ax.scatter(x, y, s=10)\n", " ax.set_xlabel(f'{x_label}')\n", " ax.set_ylabel(f'{y_label}')\n", " \n", "fig, axes = plt.subplots(3, 2, figsize=(7,10), constrained_layout=True)\n", "\n", "plot_comparison(axes[0,0], JR, JR_int, '$J_R$ (N-body)', '$J_R$ (Integration)')\n", "plot_comparison(axes[0,1], JR_sec, JR_sec_int, 'Secular $J_R$ (N-body)', 'Secular $J_R$ (Integration)')\n", "plot_comparison(axes[1,0], Jz, Jz_int, '$J_z$ (N-body)', '$J_z$ (Integration)')\n", "plot_comparison(axes[1,1], Jz_sec, Jz_sec_int, 'Secular $J_z$ (N-body)', 'Secular $J_z$ (Integration)')\n", "plot_comparison(axes[2,0], Lz, Lz_int, '$L_z$ (N-body)', '$L_z$ (Integration)')\n", "plot_comparison(axes[2,1], Lz_sec, Lz_sec_int, 'Secular $L_z$ (N-body)', 'Secular $L_z$ (Integration)')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "fb1f5883-8b3b-4b10-8122-85b7ab55d2f8", "metadata": {}, "source": [ "Comparison of frequencies for the set of orbits obtained from N-body simulations and integration in a fixed potential." ] }, { "cell_type": "code", "execution_count": 128, "id": "272a02ee-c6c5-489b-8edb-b780b147c91c", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(3, 2, figsize=(7,10), constrained_layout=True)\n", "\n", "plot_comparison(axes[0,0], kappa, kappa_int, '$\\\\kappa$ (N-body)', '$\\\\kappa$ (Integration)')\n", "plot_comparison(axes[0,1], kappa_sec, kappa_sec_int, 'Secular $\\\\kappa$ (N-body)', 'Secular $\\\\kappa$ (Integration)')\n", "plot_comparison(axes[1,0], omegaz, omegaz_int, '$\\\\omega_z$ (N-body)', '$\\\\omega_z$ (Integration)')\n", "plot_comparison(axes[1,1], omegaz_sec, omegaz_sec_int, 'Secular $\\\\omega_z$ (N-body)', 'Secular $\\\\omega_z$ (Integration)')\n", "plot_comparison(axes[2,0], Omega, Omega_int, '$\\\\Omega$ (N-body)', '$\\\\Omega$ (Integration)')\n", "plot_comparison(axes[2,1], Omega_sec, Omega_sec_int, 'Secular $\\\\Omega$ (N-body)', 'Secular $\\\\Omega$ (Integration)')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "b80a27ee-1c77-4811-a034-8dc87db2d095", "metadata": {}, "source": [ "## Comparison with frequency analysis naif" ] }, { "cell_type": "code", "execution_count": 129, "id": "ee504af2-88ff-4b0b-a3df-31dcd29982ce", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Frequency 1 - Peak not found in first shot. Refining...\n", "Frequency 1 - Peak not found in first shot. Refining...\n", "Frequency 1 - Peak not found in first shot. Refining...\n", "Frequency 1 - Peak not found in first shot. Refining...\n", "Frequency 1 - Peak not found in first shot. Refining...\n", "Frequency 1 - Peak not found in first shot. Refining...\n", "Frequency 1 - Peak not found in first shot. Refining...\n", "Frequency 1 - Peak not found in first shot. Refining...\n", "Frequency 1 - Peak not found in first shot. Refining...\n", "Frequency 1 - Peak not found in first shot. Refining...\n", "Frequency 1 - Peak not found in first shot. Refining...\n", "Frequency 1 - Peak not found in first shot. Refining...\n", "Frequency 1 - Peak not found in first shot. Refining...\n", "Frequency 1 - Peak not found in first shot. Refining...\n" ] } ], "source": [ "freq_naif = OT.naif_frequency()\n", "\n", "kappa_naif = np.abs(freq_naif[:,0])\n", "omegaz_naif = np.abs(freq_naif[:,1])\n", "Omega_naif = freq_naif[:,2]" ] }, { "cell_type": "code", "execution_count": 130, "id": "5b9bdb9e-3a55-495d-9ef9-a2056b05c93c", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(3, 2, figsize=(7,10), constrained_layout=True)\n", "\n", "plot_comparison(axes[0,0], kappa_naif, kappa_int, '$\\\\kappa$ (naif)', '$\\\\kappa$ (Integration)')\n", "plot_comparison(axes[0,1], kappa_naif, kappa_sec_int, '$\\\\kappa$ (naif)', 'Secular $\\\\kappa$ (Integration)')\n", "plot_comparison(axes[1,0], omegaz_naif, omegaz_int, '$\\\\omega_z$ (naif)', '$\\\\omega_z$ (Integration)')\n", "plot_comparison(axes[1,1], omegaz_naif, omegaz_sec_int, '$\\\\omega_z$ (naif)', 'Secular $\\\\omega_z$ (Integration)')\n", "plot_comparison(axes[2,0], Omega_naif, Omega_int, '$\\\\Omega$ (naif)', '$\\\\Omega$ (Integration)')\n", "plot_comparison(axes[2,1], Omega_naif, Omega_sec_int, '$\\\\Omega$ (naif)', 'Secular $\\\\Omega$ (Integration)')\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.12.3" } }, "nbformat": 4, "nbformat_minor": 5 }