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Created June 30, 2023 18:12
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projects/gala-notebooks/Sag-dynamical-friction.ipynb
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{
"cells": [
{
"metadata": {
"ExecuteTime": {
"end_time": "2021-06-14T23:00:59.622862Z",
"start_time": "2021-06-14T23:00:59.617332Z"
},
"trusted": true
},
"cell_type": "code",
"source": "import astropy.coordinates as coord\nimport astropy.units as u\nimport matplotlib as mpl\nimport matplotlib.pyplot as plt\n%matplotlib inline\nimport numpy as np\nfrom astropy.constants import G\nfrom scipy.special import erf\n\n# gala\nimport gala.coordinates as gc\nimport gala.dynamics as gd\nimport gala.potential as gp\nimport gala.integrate as gi\nfrom gala.units import galactic",
"execution_count": 3,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2021-06-14T23:00:59.869927Z",
"start_time": "2021-06-14T23:00:59.864022Z"
},
"trusted": true
},
"cell_type": "code",
"source": "def chandrasekhar_F(t, w, potential, M, r_hm, v_disp):\n \"\"\"\n Eqn. 8.2, 8.7 in Binney & Tremaine (2008)\n \"\"\"\n x = w[:3] * potential.units['length']\n v = w[3:] * potential.units['length'] / potential.units['time']\n \n dens = potential.density(x)\n v_norm = np.sqrt(np.sum(v**2, axis=0))\n \n b_max = np.sqrt(np.sum(x**2, axis=0)) # orbital radius\n GM_vdisp = G * M / v_disp**2\n denom = max(r_hm.to_value(u.kpc), GM_vdisp.to_value(u.kpc)) * u.kpc\n ln_Lam = np.log(b_max / denom)\n \n X = v_norm / (np.sqrt(2) * v_disp)\n fac = erf(X) - 2*X/np.sqrt(np.pi) * np.exp(-X**2)\n \n dv_dynfric = - 4*np.pi * G**2 * M * dens * ln_Lam / v_norm**3 * fac * v\n \n wdot = np.zeros_like(w)\n wdot[:3] = v.decompose(potential.units)\n wdot[3:] = (-dv_dynfric - potential.gradient(x)).decompose(potential.units)\n \n return wdot",
"execution_count": 4,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2021-06-14T23:01:52.291794Z",
"start_time": "2021-06-14T23:01:52.283382Z"
},
"trusted": true
},
"cell_type": "code",
"source": "M = 5e9 * u.Msun\npot = gp.MilkyWayPotential(disk=dict(m=6.98e10*u.Msun),\n halo=dict(m=4.82e+11*u.Msun))\n\nr_hm = 75. * u.kpc # MW half-mass radius, roughly\nv_disp = 150 * u.km/u.s\n\nintegrator = gi.DOPRI853Integrator(\n chandrasekhar_F, func_args=(pot, M, r_hm, v_disp), \n func_units=pot.units)",
"execution_count": 6,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2021-06-14T23:07:58.015730Z",
"start_time": "2021-06-14T23:07:47.722969Z"
},
"trusted": true
},
"cell_type": "code",
"source": "w0 = gd.PhaseSpacePosition(pos=[17.5, 2.5, -6.5]*u.kpc,\n vel=[237.9, -24.3, 209.0]*u.km/u.s)\norbit = integrator.run(w0, dt=-5*u.Myr, n_steps=300)\n# orbit = pot.integrate_orbit(w0, dt=-5*u.Myr, n_steps=300)",
"execution_count": 21,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2021-06-14T23:07:58.331269Z",
"start_time": "2021-06-14T23:07:58.017536Z"
},
"trusted": true
},
"cell_type": "code",
"source": "_ = orbit.plot()",
"execution_count": 22,
"outputs": [
{
"data": {
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"text/plain": "<Figure size 864x288 with 3 Axes>"
},
"metadata": {
"image/png": {
"height": 278,
"width": 865
}
},
"output_type": "display_data"
}
]
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2021-06-14T23:07:58.425186Z",
"start_time": "2021-06-14T23:07:58.333777Z"
},
"trusted": true
},
"cell_type": "code",
"source": "plt.plot(orbit.t.to_value(u.Gyr), \n orbit.spherical.distance)",
"execution_count": 23,
"outputs": [
{
"data": {
"text/plain": "[<matplotlib.lines.Line2D at 0x7fe22b6442e0>]"
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": "<Figure size 432x288 with 1 Axes>"
},
"metadata": {
"image/png": {
"height": 252,
"width": 373
}
},
"output_type": "display_data"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "",
"execution_count": null,
"outputs": []
}
],
"metadata": {
"kernelspec": {
"name": "conda-root-py",
"display_name": "Python [conda env:root] *",
"language": "python"
},
"language_info": {
"name": "python",
"version": "3.10.4",
"mimetype": "text/x-python",
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"pygments_lexer": "ipython3",
"nbconvert_exporter": "python",
"file_extension": ".py"
},
"toc": {
"nav_menu": {},
"number_sections": true,
"sideBar": true,
"skip_h1_title": false,
"base_numbering": 1,
"title_cell": "Table of Contents",
"title_sidebar": "Contents",
"toc_cell": false,
"toc_position": {},
"toc_section_display": true,
"toc_window_display": false
},
"gist": {
"id": "",
"data": {
"description": "projects/gala-notebooks/Sag-dynamical-friction.ipynb",
"public": true
}
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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