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@adrn
Created March 22, 2024 15:25
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{"metadata":{"kernelspec":{"display_name":"Python [conda env:root] *","language":"python","name":"conda-root-py"},"language_info":{"codemirror_mode":{"name":"ipython","version":3},"file_extension":".py","mimetype":"text/x-python","name":"python","nbconvert_exporter":"python","pygments_lexer":"ipython3","version":"3.10.12"},"toc":{"base_numbering":1,"nav_menu":{},"number_sections":true,"sideBar":true,"skip_h1_title":false,"title_cell":"Table of Contents","title_sidebar":"Contents","toc_cell":false,"toc_position":{},"toc_section_display":true,"toc_window_display":false}},"nbformat_minor":5,"nbformat":4,"cells":[{"id":"1b4abc1a","cell_type":"code","source":"import astropy.coordinates as coord\nfrom astropy.constants import G\nimport astropy.units as u\nimport matplotlib as mpl\nimport matplotlib.pyplot as plt\n%matplotlib inline\nimport numpy as np\nfrom scipy.special import erf\n\n# gala\nimport gala.coordinates as gc\nimport gala.dynamics as gd\nimport gala.integrate as gi\nimport gala.potential as gp\nfrom gala.units import galactic","metadata":{"ExecuteTime":{"end_time":"2023-08-09T15:29:48.296975Z","start_time":"2023-08-09T15:29:46.500766Z"},"trusted":false},"outputs":[],"execution_count":1},{"id":"a7b1ee34","cell_type":"code","source":"G_gal = G.decompose(galactic).value\n\ndef chandrasekhar_acc(t, w, mw_potential, Msat, ln_Lambda, v_disp):\n \"\"\"\n Dynamical friction for the LMC.\n \n Eqn. 8.2, 8.7 in Binney & Tremaine (2008)\n \"\"\"\n x = np.ascontiguousarray(w[:3].T)\n v = w[3:]\n \n # This looks ugly because, for speed, I access some low-level Gala/C stuff..\n dens = mw_potential._density(x, t=np.array([0.]))\n v_norm = np.sqrt(np.sum(v**2, axis=0))\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_gal**2 * Msat * dens * ln_Lambda / v_norm**3 * fac * v\n \n return -dv_dynfric","metadata":{"ExecuteTime":{"end_time":"2023-08-09T15:29:48.301234Z","start_time":"2023-08-09T15:29:48.298169Z"},"trusted":false},"outputs":[],"execution_count":2},{"id":"ae65333e","cell_type":"code","source":"def F(t, raw_w, nbody, chandra_kwargs): \n w = gd.PhaseSpacePosition.from_w(raw_w, units=nbody.units)\n nbody.w0 = w\n \n wdot = np.zeros((2 * w.ndim, w.shape[0]))\n \n # Compute the mutual N-body acceleration:\n wdot[3:] = nbody._nbody_acceleration()\n \n # Only compute DF for the LMC:\n wdot[3:, 1:2] += chandrasekhar_acc(t, raw_w[:, 1:2], **chandra_kwargs)\n \n wdot[:3] = w.v_xyz.decompose(nbody.units).value\n \n return wdot","metadata":{"ExecuteTime":{"end_time":"2023-08-09T15:29:48.303986Z","start_time":"2023-08-09T15:29:48.301978Z"},"trusted":false},"outputs":[],"execution_count":3},{"id":"6ff770ec","cell_type":"code","source":"# Present-day position/velocity in inertial frame moving with instantaneous \n# Milky Way velocity:\nw0_mw = gd.PhaseSpacePosition(\n pos=[0, 0, 0]*u.kpc,\n vel=[0, 0, 0]*u.km/u.s,\n)\npot_mw = gp.MilkyWayPotential2022()\n\n# Values from Vasiliev et al. 2020\nw0_lmc = gd.PhaseSpacePosition(\n pos=[-0.6, -41.3, -27.1]*u.kpc,\n vel=[-63.9, -213.8, 206.6]*u.km/u.s,\n)\n\n# 10 fake LMC stars:\nrng = np.random.default_rng(seed=42)\nw0_lmc_stars = gd.PhaseSpacePosition(\n pos=w0_lmc.xyz[:, None] + rng.normal(0, 0.5, size=(3, 10))*u.kpc,\n vel=w0_lmc.v_xyz[:, None] + rng.normal(0, 5., size=(3, 10))*u.km/u.s,\n)\n\n# These I made up - should take from Erkal or whatever?\npot_lmc = gp.HernquistPotential(m=2e11*u.Msun, c=1*u.kpc, units=galactic)\n\nw0 = gd.combine((w0_mw, w0_lmc, w0_lmc_stars))\nnbody = gd.DirectNBody(w0, [pot_mw, pot_lmc] + [None] * w0_lmc_stars.shape[0])","metadata":{"ExecuteTime":{"end_time":"2023-08-09T15:29:48.324896Z","start_time":"2023-08-09T15:29:48.305263Z"},"trusted":false},"outputs":[],"execution_count":4},{"id":"11218321","cell_type":"code","source":"chandra_kwargs = {\n 'Msat': pot_lmc.parameters['m'].value,\n 'mw_potential': pot_mw, \n 'ln_Lambda': -0.4, \n 'v_disp': (150 * u.km/u.s).decompose(galactic).value\n}","metadata":{"ExecuteTime":{"end_time":"2023-08-09T15:29:48.328751Z","start_time":"2023-08-09T15:29:48.325839Z"},"trusted":false},"outputs":[],"execution_count":5},{"id":"c3e7b21d","cell_type":"code","source":"integrator = gi.DOPRI853Integrator(\n F, func_args=(nbody, chandra_kwargs), \n func_units=nbody.units, \n progress=True\n)\norbits = integrator.run(w0, dt=-2*u.Myr, t1=0, t2=-2*u.Gyr)","metadata":{"ExecuteTime":{"end_time":"2023-08-09T15:34:51.029805Z","start_time":"2023-08-09T15:29:48.329800Z"},"trusted":false},"outputs":[{"name":"stderr","output_type":"stream","text":"100%|███████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 1000/1000 [05:02<00:00, 3.30it/s]\n"}],"execution_count":6},{"id":"828c6008","cell_type":"code","source":"orbits[:, 2:].plot();","metadata":{"ExecuteTime":{"end_time":"2023-08-09T15:34:51.541134Z","start_time":"2023-08-09T15:34:51.031132Z"},"trusted":false},"outputs":[{"data":{"image/png":"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size 864x288 with 3 Axes>"},"metadata":{"image/png":{"height":296,"width":872}},"output_type":"display_data"}],"execution_count":7},{"id":"85d99dac","cell_type":"code","source":"","metadata":{"trusted":false},"outputs":[],"execution_count":null}]}
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