621 lines
342 KiB
Text
621 lines
342 KiB
Text
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {},
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"outputs": [],
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"source": [
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"%matplotlib inline"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {},
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"outputs": [],
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"source": [
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"from pylab import *\n",
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"import matplotlib\n",
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"matplotlib.rcParams['figure.dpi'] = 120\n",
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"import h5py, scipy.interpolate, ellipsoids\n",
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"from scipy.spatial.transform import Rotation\n",
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"from density_center import def_dc\n",
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"from astropy.cosmology import Planck15\n",
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"G = 4.498317481097514e-06"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {},
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"outputs": [],
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"source": [
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"# Load Illustris-TNG snapshot\n",
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"particle_data = h5py.File('data/subhalo_489100.hdf5', 'r')\n",
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"\n",
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"# Simumation parameters\n",
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"h0 = 0.6774\n",
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"snap, z = loadtxt('data/snapshots.dat', unpack=True)\n",
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"snap = snap.astype(int)\n",
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"a = 1/(1+z)\n",
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"t = Planck15.age(z).value\n",
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"\n",
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"# Dictionary of particle types\n",
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"particle_types = {}\n",
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"particle_types['gas'] = '0'\n",
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"particle_types['dm'] = '1'\n",
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"particle_types['stars'] = '4'\n",
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"particle_types['bhs'] = '5'\n",
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"\n",
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"# First get the global coordinate system\n",
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"def get_half_mass_radius(m, r):\n",
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" i = argsort(r)\n",
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" r_sorted = r[i]\n",
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" m_sorted = m[i]\n",
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" m_cum = cumsum(m_sorted)\n",
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" j = searchsorted(m_cum, m_cum[-1]/2)\n",
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" return r_sorted[j] # close enough\n",
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"def get_transformation(m, X, V=None):\n",
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" V_center = None\n",
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" if not V is None: X_center, V_center = def_dc(m, X, V)\n",
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" else: X_center = def_dc(m, X)\n",
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" X_shifted = X - X_center\n",
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" r = linalg.norm(X_shifted, axis=1)\n",
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" rh = get_half_mass_radius(m, r)\n",
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" mask = r < 2*rh\n",
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" Q = ellipsoids.quadrupole_tensor(*X_shifted[mask].T, m[mask])\n",
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" eigenvalues, eigenvectors = linalg.eig(Q)\n",
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" R = ellipsoids.rotation_matrix_from_eigenvectors(eigenvectors, eigenvalues)\n",
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" return X_center, V_center, R, mask\n",
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"i, snapshot = len(snap)-1, snap[-1]\n",
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"m = particle_data[str(snapshot)][particle_types['stars']]['Masses'][...]\n",
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"X = particle_data[str(snapshot)][particle_types['stars']]['Coordinates'][...] * a[i] / h0\n",
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"X_center_glob, _, R_glob, _ = get_transformation(m, X)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"metadata": {},
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"outputs": [],
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"source": [
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"# Load our approximation\n",
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"snapshot, t, \\\n",
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" phi_inertia, theta_inertia, M_disk, a_mn, b_mn, \\\n",
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" rho_0_nfw, b_nfw \\\n",
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" = loadtxt('results/subhalo_489100_parameters_processed.dat', unpack=True)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 5,
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"metadata": {},
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"outputs": [],
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"source": [
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"# Load orbit\n",
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"orbital_data = loadtxt('data/part-2266.dat', skiprows=13, usecols=[0, 11, 12, 13])\n",
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"t_orbit = t[-1] - orbital_data[:, 0] / 1000 # Myr -> Gyr; in the file the time goes backward\n",
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"X_orbit = orbital_data[:, 1:] / 1000 # pc -> kpc"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 6,
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"metadata": {},
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"outputs": [],
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"source": [
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"# Get the stars' coordinate along its orbit in times corresponding to the snapshots\n",
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"X_orbit_interp = scipy.interpolate.interp1d(t_orbit, X_orbit, axis=0, bounds_error=False)\n",
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"X_orbit_snaps = X_orbit_interp(t)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 7,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"12 out of 75\n",
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"13 out of 75\n",
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"74 out of 75\n"
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]
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}
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],
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"source": [
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"# Calculate the N-body gravity at the particle's interpolated location, at each snapshot\n",
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"pot_nbody = zeros(len(snap))\n",
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"acc_nbody = zeros((len(snap), 3))\n",
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"for i in range(len(snap)):\n",
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" if isnan(X_orbit_snaps[i,0]): continue\n",
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" snapshot = snap[0] + i\n",
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"\n",
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" m_dm = particle_data[str(snapshot)][particle_types['dm']]['Masses'][...]\n",
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" X_dm = particle_data[str(snapshot)][particle_types['dm']]['Coordinates'][...] * a[i] / h0\n",
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" m_gas = particle_data[str(snapshot)][particle_types['gas']]['Masses'][...]\n",
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" X_gas = particle_data[str(snapshot)][particle_types['gas']]['Coordinates'][...] * a[i] / h0\n",
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" m_stars = particle_data[str(snapshot)][particle_types['stars']]['Masses'][...]\n",
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" X_stars = particle_data[str(snapshot)][particle_types['stars']]['Coordinates'][...] * a[i] / h0\n",
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" m = hstack([m_dm, m_gas, m_stars])\n",
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" X = vstack([X_dm, X_gas, X_stars])\n",
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"\n",
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" X = (R_glob @ (X - X_center_glob).T).T\n",
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" X_center_halo = def_dc(m, X)\n",
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" X = X - X_center_halo\n",
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"\n",
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" j_particle_coords = X\n",
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"\n",
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" i_particle_coords = X_orbit_snaps[i,:]\n",
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" R = i_particle_coords - j_particle_coords\n",
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" r = linalg.norm(R, axis=1)\n",
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" pot_nbody[i] = sum(-G*m/r)\n",
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" acc_nbody[i] = sum(-G*m[:,None]*R/r[:,None]**3, axis=0)\n",
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" print(f'{i} out of {len(snap)}')"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 8,
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"metadata": {},
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"outputs": [],
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"source": [
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"def miyamoto_nagai(M, a, b, phi, theta, pos):\n",
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" # Construct new z-axis from the angles\n",
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" cos_theta = cos(theta)\n",
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" sin_theta = sqrt(1-cos_theta**2)\n",
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" cos_phi = cos(phi)\n",
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" sin_phi = sqrt(1-cos_phi*cos_phi)\n",
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" old_z_axis = array([cos_phi*sin_theta, sin_phi*sin_theta, cos_theta])\n",
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"\n",
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" # Construct rotation\n",
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" rot_vec = array([old_z_axis[1], -old_z_axis[0], 0])\n",
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" rot_vec /= linalg.norm(rot_vec)\n",
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" rot_angle = arccos(old_z_axis[-1] / linalg.norm(old_z_axis))\n",
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" rot_vec *= rot_angle\n",
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" rot = Rotation.from_rotvec(rot_vec)\n",
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"\n",
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" # Rotate the position vector\n",
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" new_pos = rot.apply(pos)\n",
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"\n",
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" # Calculate acceleration in new frame\n",
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" acc_in_rotated_frame = empty(3)\n",
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" z_tmp = sqrt(new_pos[2]**2 + b**2)\n",
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" r2_tmp = new_pos[0]**2 + new_pos[1]**2 + (z_tmp + a)**2\n",
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" r_tmp = sqrt(r2_tmp)\n",
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" pot = - G*M / r_tmp\n",
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" tmp = G*M / (r2_tmp*r_tmp)\n",
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" acc_in_rotated_frame[0] = - tmp * new_pos[0]\n",
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" acc_in_rotated_frame[1] = - tmp * new_pos[1]\n",
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" acc_in_rotated_frame[2] = - tmp * new_pos[2] * (z_tmp + a)/z_tmp;\n",
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"\n",
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" # Return to original frame\n",
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" return rot.inv().apply(acc_in_rotated_frame), pot\n",
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"\n",
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"def nfw(rho_0, b, pos):\n",
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" r = linalg.norm(pos)\n",
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" tmp = -4*pi*G*rho_0*b**3*(log1p(r/b) - r/(b+r))/(r**3)\n",
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" pot = -4*pi*G*rho_0*b**3*log1p(r/b)/r\n",
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" return pos*tmp, pot"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 9,
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"metadata": {},
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"outputs": [],
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"source": [
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"# Calculate the model gravity at the particle's interpolated location, at each snapshot\n",
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"pot_model = zeros(len(snap))\n",
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"acc_model = zeros((len(snap), 3))\n",
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"for i in range(len(snap)):\n",
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" if isnan(X_orbit_snaps[i,0]): continue\n",
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" snapshot = snap[0] + i\n",
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" i_particle_coords = X_orbit_snaps[i,:]\n",
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" acc_nfw, pot_nfw = nfw(rho_0_nfw[i], b_nfw[i], i_particle_coords)\n",
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" acc_nm, pot_nm = miyamoto_nagai(M_disk[i], a_mn[i], b_mn[i], phi_inertia[i], theta_inertia[i], i_particle_coords)\n",
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" acc_model[i] = acc_nfw + acc_nm\n",
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" pot_model[i] = pot_nfw + pot_nm"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Results: potential"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 13,
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"metadata": {
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"scrolled": false
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},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"Mean 0.16388618049604048\n",
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"Standard deviation 0.14093708541076244\n"
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]
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},
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{
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"name": "stderr",
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"output_type": "stream",
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"text": [
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"/home/meiron/local/lib/python3.7/site-packages/ipykernel_launcher.py:6: RuntimeWarning: invalid value encountered in true_divide\n",
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" \n"
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]
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},
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{
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"data": {
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"text/plain": [
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"Text(0, 0.5, 'relative difference')"
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]
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},
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"execution_count": 13,
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"metadata": {},
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"output_type": "execute_result"
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},
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{
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"data": {
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"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 720x480 with 1 Axes>"
|
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]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
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"image/png": 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\n",
|
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"text/plain": [
|
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"<Figure size 720x480 with 1 Axes>"
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]
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},
|
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"metadata": {
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"needs_background": "light"
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},
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"output_type": "display_data"
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},
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{
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"data": {
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"image/png": 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xur3FoJfTGk6kW9fdU2t02+fZ4R2NcfKOpI7VrS0G3TTrtWjduO6eWqPbPs/dnFaxnQwsJXWsbszJ3E2zXutVz7qDLsGjat34eW5lkoFeYWApqWN1Y4tBL657188tsCpON36ezbBUPwNLSR2tm1oMenHdu15ugVXrddPnuczhHfXxikjqaN00IaTbZr3WopvWHVTn66bPc7Xy8I7nLzqeJcPHdWQdO4EtlpI6Xre0GHTbrNfp9GILrNqvWz7PaoyBpaSu0ekTQrpt1ut0yi2w06lsge3k10edpdM/z2qMgaUkFaQbZ71OpddaYPtVPbP5pbwMLCWpIN0463UqvdYC22+cza928B0lSQXqpbSGZh7pXuXZ/Jeu3cqequEM5dn8F1x9S89ng1LrGVhKUoG6edZrtXILbC2z3LuhBbafOJtf7WJXuCQVrJdmvXbjuoP9YrKxk87mVzsZWEpSk/TCrFczj3Se6cZOnn7isc7mV9sUElhGxNOAs4D5wGUppdsi4kjgFGBrSml/EeeRJLVeL7XAdrtaMiE98ZFH1/WczuZXkXIFlhExC/g8cC4P9op8DbgNGAO+DXwE+Mt81ZQktVsvtMB2u1rGTv74l7+u6zmdza8i5f2peQlwDrAKeDwVkyBTSvcD15AFnZIkKYfKsZNTCSCm2wln86s58gaWfwBcnlK6CvivCbb/BHhsznNIktT36slFn6bbCWfzqznyjrGcD/x4iu2jwJE5zyFJUt+rdyzkokcezaZf/rrm2fxm6FER8gaWO8gm6Ezmt4Hbc55DkqSu1WjAVn3cUYP1fWX/2fNP4Yc/3zftbH4z9KhIeQPLzwFviogvAuUcZgkgIl4LvBT4s5znkCSp6zQasE123NyhWRw5a4D7Do1Oe+65Q7M487HH8YyT5005m7+WWeYbd+zrmkX91X55A8u/BJ4G3Eg2njIBH4mIhwGPAr5BNitckqS+0WjANtVxe2oYX1n2+Ic/9IHnnWo2fz0Zei4+++Qaz65+luvnR0rpEPB84NXAT4HNwCDwI+BVwO+llKb/aSVJUg9pNKViLcfVYsuv/nvaPOD1zDJfs/4O84qrJrnbtVPmMymlF6aUTkspnZpSOieltCalWualFS8iBiPiAxFxZ0QciIibImJ5Dce9OCL+KSJ+GhH3RcSWiPjriDi2FfWWpH42MjrG+m17+Namu1i/bU/XBjL3HfoNV3xn+hzc1QFbrYFeLXbfe4gN2/dOuU89s8zLGXqk6eRdIP1hwKNSSj+aZPsTgV+klFr9bvw0cB7wN2SLtb8K+EZEnJVS+u4Ux10F3Al8Bvg58ETgdcALIuIpKaUDzay0JPWjXpo8MjI6xsv//qaaxkFWp1QsB3pFmW4Web2zzM3Qo1rkHWP5EbKF0Z82yfYrycZevibneWoWEU8FXga8JaX04VLZGmAT8EHg6VMcfl5KaV3V890C/APwCuATzaizJPWrXps8cvm6bWzcsa+uY8oBW9GB23QZderNuGOGHtUi76d0GfDVKbZ/DXhOznPU6zyy9TOvKheUsgB9ElgSEY+e7MDqoLLkn0v3pxZYR0kSjY9F7ETlrux6lQO2ogK3WjPqLF4wh7lDs2oaY2mGHtUqb2A5D9g9xfY9ZIuot9LpwNaUUnWy1JtL90+u8/keUbqf6u+UJNWp1yaPNNKVXRmw1RroTafWjDozB2awcsmCmsZYmqFHtcr7LrmLLJCbzBnArpznqNfxZPWqVi47oc7n+1OyFtBrp9sxIuZHxGmVN2B4uuPUHL0yEUDqVb02eaSRruzKgK3WQK+sOgAtP67OqDOVVUuHWXbK/MKeT8o7xvLLwB9HxDdTSod1iUfEuWTLEF2e8xz1mg0cnKD8/ortNYmIl5OND/1gSum2Gg65CHhXrc+v5uiliQBSL+u1ySP1dmWf/uhjxwVsq5YOs3HHPq7fvHPSVIxLHz+PJz/qWD5708+nzKhTi5kDM7hyxRlcsW7btBl6pFrkDSzfTTaG8p8j4j/IJsgALAKeRDZxp9WB1gGytTSrHVGxfVoR8UyycZn/Ary9xnNfBlxTVTYMfKXG45VTr00EkKr1Uj7nXps8Uu7KrmUh8yNnDfD65zyO635y92GvYz2B3h8ve9yE74Vyb02t75GZAzO4+OyTp8zQI9UqV2CZUronIp4GvBV4MdnEGYBtwCXAh1JK9+arYt3uAh45Qfnxpfs7p3uCiHgS2aSkTWQzxX9Ty4lTSjuBnVXPVcuhKohZJNSrerElvtZALMiCqk6fPFLuyr507dbpdwZe/akND/y7+nWsJdCrzqgzMjrGx667reH3yFQZeqRa5W2xpBQ4vovO6QLeCJwVEUdXTeA5s2L7pCJiGPgWWYD4gpTS/uZUU0WrnAgw3ZfUmvV32L3ToF5qMesWvdoSX2sg1uzJI0W+p2vpygbGrXM50etYT6DXq+8RdZ/cgWUHuhZ4M3A+UF7HcpBsvOdNKaUdpbITgSNTSpvLB0bEI4BvA2PA81JKrZ54pBxqnZFZvSixatOLLWbdopdb4msJxCabPJI3IGzGe3qqruzZswYmXTg97+vYy+8RdZfcgWVEnEoWtD0WmMP4iWUppXR23vPUKqV0U0RcA7w/IuYDtwOvBBZw+ELta4Bnc3h9v0X2d3wQeEZEPKNi290ppbXNrLvy6bWJAJ3E1pD26fWW+EYmjxQREDbzPT1RV/bQ4EN4w+d/yIFDo4W/jr3+HlF3yZvScQXwKWAE2AJMtBZEOwYZriQb47mCLNj9EXBOSunGaY57Uun+rRNs+w5gYNnBem0iQCexNaR92tkS36phD/VMHikqIGzFe7qyK3v9tj3suXdk2mMaeR3trVEnKWJW+A+B30kpdcwC4qVMO28p3SbbZ+kEZc606WK9NhGgU9ga0l7taIlv17CHWsYUFhEQtuM93czX0d4adZK8/zOcAPzfTgoq1b/MItEcvbaIdbdpdUt8uUXw0rVb2VPVClZuEbzg6lvaknCgqEw97XhPHzVYXztOPa+jvTXqJHm/WX9E/ZlspKYxi0TxbA1pr1bnc+7k3N1FBYStfE+XlwD6k3+ackGSBzTyOprzW50kb2D5JuA1EfH0Iioj5VWeCLB6+ULmDh2+Tv7coUFWL1/oBJM62RrSXq1sie/03N1FBYStek9P1fo7mUZeR3tr1EnyjrH8U+Ae4N8i4j+Bn5Pl1a6UUkrn5jyPVDOzSBTLsavtl2dJnnp0+iSQogLCVr2np2r9nehceV7HVr1HpOnkDSz/B9n79efAEPCECfaZ7vMkNYVZJIrRKYtY97NW5XPu9GEPeQPCylnuZz1+Ptfc8ospz5fnPV3rBKGy446axSufvqDh19Gc3+oUeVM6LiioHpLo3Kw2toa0Xyta4jt92EOjP3Imm+U+a2AGh0bHpn1PT/W5nGxbra2/ZX/zsifzjJPn1bz/ROytUSfoxcw7Utfp9Kw2toZ0jma2xHfDsId6f+RMte7lodIY0ZmlALOs/J5+zTMfM+nn8uVnngjAZ2+647Btc4dmcdbj53PM7Pq+Xvcf/E1d+0/F3hq1UxGZdwaAlwBnAfOBd6aUfhwRxwBnA/8vpXR33vNIvapbstrYGtI7Jmtl67RhD5PVs54fObWMczw0OsZLz3gUy06d/8B5gCk/lx+97rYJn2v3/kPTdrFPxElv6hV5M+8cS5YG8anAfuAo4G9Lm/cDHyNLnfi2POeRelm3ZbWxNaR71dIy3gnDHmqp51Q/ckZGx0qZbg7yiX/76bTnC+CGLbv4yxc/8YGA9GPX3Tbt57IITnpTr8nbYvlXwGnA88gy8Owsb0gpjUbEtcALMLCUJmRWG7VKPS3j7Rz2UG8LfuWPnPKakdUB6XSqZ7nXO/EmDye9qdfkDSxfCPxtSmltREzUhLEVeFXOc0g9q9OXd1HvqLdlvF3DHhptwZ8qIK1VeZZ7vRNvGuGkN/WqvP9DHAP8bIrtM3GCkDSpTl/eRb2h0YXPyy2Cz190PEuGj2vJmMpGF2ivZ83IyZTHObbic2bCBvWqvEHfNuApU2x/LvCfOc8h9axOX96l03Xq8kydpltaxhutZ96u6+pxjs38nF3wrMew9PEP972qnpU3sPwE8IGIWAdcVypLETEIvBN4PnB+znNIPasblnfpRJ2+PFOnaVfLeL2Bf6P1zNt1XT3OsdbPZSOWPv7hDmdRT8sbWH6UbPLOPwL7SmWfA44rPfeVKaVP5jyH1LM6bXmXbtAtyzN1kla3jDca+Ddaz0YD4cnGOdb6uaz3XP44VD/I9b9uyrwWeBbZskLfBDYCVwFLU0qr8ldR6jzl5Uy+teku1m/bc9hYr3qtWjrMslPmA4wLlMqPHeD/oHomdyhTboGrZezivJzBTznwv3TtVvZUtSKWA/8Lrr5lws9Mo/VsNBCeapxjLZ/LevjjUP2i4RbLUnf384DtKaXvAt8trFZSh2pGF6xZbWrXrOWZen2sZitbxvOsy9poPesZUnL07Jm870WLeNhRg1O+ztN9Ll/xtBMhwWdv+vlh2yY6p7O/1U8ipcZGkEREAPcDb0gpXVForXpIRJwGbNq0aROnnXZau6ujHKq7YCdbODpPF2yvBzh5rd+2hz/4++/XvP8/vvZpU45n68axmo2+R0ZGx7jg6lumXfg87/t3yfuvq3nM8Pf+fNm4czVaz49dd1tNXderly+sO9FALbnC99x7kBu37OL6zTvZfe/h7yV/HKqb3HrrrSxatAhgUUrp1nqPb7jFMqWUIuI2YG6jzyF1k1ZkyDGrzdSKnITSbWM16wmCi0iF2IgiZp83Ws9mZgya6nNZue2c/3GCPw7V9/JO3nkfcGlEXJNS2lJEhaROZIaczlDkJJRuSqVZaxD88Zefzif+7WcNp0LMq6jAv5G89J0ypMQfh+p3eQPLpwF7gE2lJYe2Aweq9kkppTfkPI/UVt2yDmCvq2cZmLlHzZp0EkozfigU0VI12XPUGgT/7se+y89231t3KsSiFD37vN56NhKQSipW3sDydRX/PnuSfRJgYKmuZoaczlDPMjD3jYxy+bptE46TLPKHQhHjNKd6jpefeSKf+X5ti3//bPe9D9S7+u+A5rfAdsq6rLYaSu2Td7mhGTXcBoqqrNQuZsjpHJXLwEzlwKHRSZe2KeqHQp6ldWp9jo9edxt77h0pZKHuiVIhFqkc+E9XV5fekXqXn2qpBq1cB1BTK4+lW718IUfOmvx361RrWhb1Q6GINTVreY6iVLbANovrskr9rZDAMiKeFhF/HhEfiYiTS2VHRsRTImKoiHNIRS5KXi9bYmrXitdp5sAMLlw6PGVgWTZRK10RPxQqx2nWe/56n6NozRyqURn4zx0aPGzbVAuSS+oNucZYRsQs4PPAuTy4osPXgNuAMeDbwEeAv8xXTfWzTllrsJnLmfSCVr9OecZJFrFgeBHjNPPmuG5Us4dqOIlG6l95P+GXAOcAq4DHU9HzkVK6H7iGLOiUGlLEGLai2BIzuXa8TnnHSebtsi1inGarJ3m1eqhGeRLN8xcdz5Lh4/rysyH1m7yzwv8AuDyldFVETDQF7yfAS3KeQ32s09YatCVmYu14nfKOk8y77mER4zQbaTmcrLX8MXOPemBW+GQcqiGp2fIGlvOBH0+xfRQ4Muc51Kc6eVFylzN5ULtepyKWtsnzQ6GI89fzHMcNzeIPzzxpXG7qchD8mmc+htd97ocO1ZDUVnkDyx3AKVNs/23g9pznqFtEDALvBVYAc4AfAe9IKa2d5rjHAxcCZwJPAQaBx6SUtje1wpqQi5J3h3a9TkWMk6x8rnrrVMT563mOVy5ZwMVnn8wfL3vcpEFwJ2SekdTf8gaWnwPeFBFfBMr/MyaAiHgt8FLgz3KeoxGfBs4D/oZsItGrgG9ExFkppe9OcdwS4PXAf5J14z+5udXUVFyUvDu083Vq94SqIs5f73NMl7faoRqS2ilvYPmXZGkdbyQLxBLwkYh4GPAo4Btks8JbJiKeCrwMeEtK6cOlsjXAJuCDwNOnOPyrwLEppf+OiDdjYNlWLkreHeq97kcNPoT12/YUEvS0Oz90Eedvxt/gUA1J7RIp5VuCNyICeAVZC+HJZDPNtwFfAK5OeU/UhlmRAAAgAElEQVRQf30+CLwJeFhK6dcV5X8OvA84MaW0o4bneTPwIXJ2hUfEacCmTZs2cdpppzX6NH1pZHSMJe+/ruYxbN/782W2yrRBra8TwJGzBjhy1kBTliMqIld3Hs3MFS5JrXLrrbeyaNEigEUppVvrPb6uFsuIuJQsWPxh6fGJwK6U0meAz9R78iY5HdhaGVSW3Fy6fzLZ2NDCRcR8YF5VsSPlG1TkGDo1T135uw+NcuDQ6GFl5eWINu7Yl2u5pna30hVx/nb/DZKUV73/g78ROLXi8c+AFxVXnUIcD9w1QXm57IQmnvsisi73yttXmni+nmd6uO5Qy+tU1mjqQ0lS56s3sLwbeGzF41ZnIqvFbODgBOX3V2xvlsuARVU3F4jPwUXJu8NUr9NxR83iyFkDuVIfSpK6Q72Td74OvDMingvsK5WtjoiXTXFMSim1Mrg6QLZMULUjKrY3RUppJ7Czsiwbgqo8nOnaHSZ7nUbHxvjDT9487fEuGyVJ3a/ewPINZIHTWcBpZN8FjwYeNsUxLZ28Q9bl/cgJyo8v3d/ZwrqoQI4/6w7Vr9O3Nk00MmVyLhslSd2rrsAypXQv8Lby44gYA96YUvpc0RXLYSNwVkQcXTWB58yK7ZJaxGWjJKl/1NWPGBFfiohnVhSdBUyZzaYNrgUGgPPLBaVMPK8GbiovNRQRJ0bEVFmDJBWgnLawljGW8yZJfShJ6g71DlA7Fzix4vH1wPLiqpNfSukm4Brg/RHxwYg4n6yeC4C3Vuy6hmxR9wdExDER8Y6IeAdwdqn4daWy1zW/9lLvKS9HNN2YGJeNkqTuV+8Yy1+SrRP52dLj6gxknWIlcAmH5wo/J6V04zTHzSkdV2l16f4O4ONFVlLqF+1OvShJao26Mu+Ustq8GfgF2azwRWSLjd8zxWEppfSkPJXsZmbekTIjo2MTpi2c14LUi5Kk2rQ08w7w58DtZGMr55M1NNwL7Kn3xJL6i8tGSVLvq3dW+ChwVelWnhX+Fx02K1xSB3PZKEnqXfW2WFZ7DLCriIpIkiSpu+UKLFNKdxRVEUmSJHW3ugLLUtf3GHBkSulQ6fG0q4iklPK2jEqSJKnD1RvwvZcskPxN1WOpZ42MjjnZRJKkGtQ7eefdUz2WesnI6BiXr9vGmvXb2b3/wfzV84YGWbHkJFa5PI4kSYexi1qawMjoGOev2cANW3aNS0W4e/9BLl27lY079nHlijMMLiVJKql3jOXKRk6SUlrTyHFSu1y+bhs3bMkWPKge61F+fP3mnVyxbhsXn31yS+smSVKnqrfF8tMTlJW/Z6sbdiq/jw0s1TVGRsdYs377tPlKA1iz/g4zxkiSVFJvYPmYqsfHAv9AltLxb4EtpfJTgIuBhwKvzFNBqdU2bN972JjKySRg1/6DbNi+1wW/JUmi/sk7h61bGRHvJlsg/bnp8KTjP46ILwLfBv4EeHXOeqogznCe3j0Hpg8q8+yv3uRnS5LyT955IfD2qqASgJTSWER8CfiLnOdQAZzhXLtjZs9q6v7qLX62JOlBeQPLIOv2nswTGD/2Ui3mDOcH1dKqtHjBHOYOzWLP/kPTjrGcOzTI4gVzmlpndS4/W5J0uLyB5ZeBVRGxHbgipXQfQEQcCawCLgA+m/McyskZzpO3Kh19xEN43mmP4D3nnsaRs7KPw8yBGaxcsoBL126d8jkTsHLJSQYMfczPliQdLu834huA7wEfBvZGxPZSkLkX+BDwfeCNOc+hHCpnOE+lPMN5ZHSsBbVqrXKr0qVrt46blPPr+3/DNbf8gie/Zy0fWbv1gb9/1dJhlp0yHxjf5F5+vOyU+Vy4dLjJtVen8rMlSePlCixTSveklJ4NvAj4FPCT0u1TZOMvn5VS2pe7lmpYeYbztAndeXCGc6+pbFWazKHRMT563W1ccPUtjIyOMXNgBleuOIPVyxcyd2jwsH3nDg2yevlCuzf7nJ8tSRqvkMw7KaWvAF8p4rlUrH6f4VzrmpRlld2WMwdmcPHZJ3Ph0mFn+2qcfv9sSdJETOnY4/p9hnOta1JWql70fObADNep1Dj9/tmSpInY7NLjyjOcaxkHNq8HZzg30kpkt6Vq0e+fLUmaiIFljyvPcK5lHFgvznButJXIbktNp98/W5I0Ef+n6wP9PMO53KpUL7stVYt+/mxJ0kQMLPtAP89wLrcq1cpuS9Wjnz9bkjSRwibvRMTxwHzg9pTSvUU9r4rRzzOcVy0dZuOOfVy/eee0+9ptqXr182dLkqrlDiwj4lzgA0A5rcRy4PqImAusBd6TUvpy3vOoGP04w7ncqvR319/OZeu2cWiCharLyxHZbalG9eNnS5Kq5fo5HRG/B3wJ2A28h4phRiml3cAvgVfnOYdUhJkDM3jj8oVsfNdyXnLGozj6iMN/U9ltKUlSfnlbLN8J3JhSOisijgPeXbV9PVm+cKkjHDnrIXzoJU/ifS9+ot2WkiQVLG9guQh40xTb7yYbdyl1FLstJUkqXt4mmvuAo6bY/lhgT85z1C0iBiPiAxFxZ0QciIibImJ5jcc+MiK+EBH7IuLXEfGViHhss+ssSZLU7fIGljcAr4yIcS2fEfEI4LXAt3OeoxGfJmtJ/SzwBmAU+EZEPGOqgyJiiOxvejbwPuBdwOnAd0pd/ZIkSZpE3q7wtwPfB34AXEM2sfZ5EbGMbGxlkE3qaZmIeCrwMuAtKaUPl8rWAJuADwJPn+Lwi8hmtz81pfSD0rHfLB27GnhbE6suSZLU1XK1WKaUtgDPIOvuvoQskHwLWQD2Y+CZKaXtOetYr/PIWiivqqjn/cAngSUR8ehpjv1BOagsHbsZuA54aXOqK0mS1Btyr2OZUroVeE5EzAEeRxas/jSltCvvczfodGBrSunXVeU3l+6fDOyoPigiZgD/A/i/EzznzcBzI+KhKaX/LrKyeY2Mjjm7WZIkdYRcgWVEPCGl9J8AKaW9ZF3i7XY8cNcE5eWyEyY57mHAYA3HbpnsxBExH5hXVdyU1bZHRse4fN021qzfzu79hx4onzc0yIolJ7Fq6bABpiRJaqm8LZabImIT8HngCyml2wuoU16zgYMTlN9fsX2y42jw2LKLyCb8NNXI6Bjnr9nADVt2Pbgifcnu/Qe5dO1WNu7Y52LfkiSppfJGHauAXcB7gS0RcUtEvCUiTspftYYdIGt5rHZExfbJjqPBY8suI1vbs/J27jTH1O3yddu4YUs20iBVbSs/vn7zTq5Yt63oU0uSJE0q7+SdK1NKZwOPJFvW517gr4CfRsT6iHhDREzW9dwsd5F1h1crl905yXH/RdZa2cixAKSUdqaUbq28AYVGdyOjY6xZv31cS2W1ANasv4ORCfJiS5IkNUMh/aQppbtTSh9PKT0LOJFsaZ4E/DVwRxHnqMNGYGFEHF1VfmbF9nFSSmNkM9kXT7D5TLIJSW2fuLNh+1527z80rqWyWgJ27T/Ihu17W1EtSZKkYgLLKncBtwI/IcvM0+pBftcCA8D55YKIGAReDdyUUtpRKjsxIk6Z4NjfiojFFcc+HlhGtk5n291z4ND0O+XYX5IkqVG5lxsCiIgAlgL/C3gRMBfYSzap55+KOEetUko3RcQ1wPtLs7RvB14JLABeU7HrGrIMO5W9ypeRZQv6ekR8GBghy+BzN1nra9sdM3tWU/eXJElqVN7lhp5JtnD4ecB84NfAl8mCyX9NKf0mdw0bs5JswfYVwBzgR8A5KaUbpzoopfTfEbEU+AjwDrLW1nXAn7RxXc7DLF4wh7lDs9gzTXd4AHOHBlm8YE6rqiZJkvpc3hbL7wD7ga+RBZPfSim1ve+1lGnnLaXbZPssnaT8F8BLmlOz/GYOzGDlkgVcunbrlPslYOWSk1xuSJIktUzewPIlwNdLgZxaZNXSYTbu2Mf1m3cSHL7kUPnxslPmc+HSpqzNLkmSNKG8yw190aCy9WYOzODKFWewevlC5g4dvuzm3KFBVi9f6OLokiSp5epqsYyId5I1iP1lSmms9Hg6KaV0SUO106RmDszg4rNP5sKlw+YKlyRJHaHervB3kwWWHwAOlR5PJ5FNpFETzByYwZLh49pdDUmSpPoCy5TSjKkeS5IkqX8ZGEqSJKkQuQLLiBiNiJdPsf1/RcRonnNIkiSpO+RtsYxptg/AtGmtJUmS1AOK6AqfMHCMiKOB5wG7CziHJEmSOlzdgWVEvKvUBT5KFlR+pvy48kaWK3wFWb5wSZIk9bhGMu/cDFxG1g1+EbAWqM4vmIB7gVuAL+WpoCRJkrpD3YFlSumbwDcBIuIo4IqU0k1FV0ySJEndJVeu8JTSq4uqiCRJkrpbrsCyLCIeBZwOHMME4zZTSmuKOI8kSZI6V67AMiKOAP4B+H2ygDLx4BJElbPFDSwlSZJ6XN7lht4HvBh4O7CULKh8JfBcsnGY/wE8Kec5JEmS1AXyBpbnAZ9KKX0AuLVU9suU0r+mlM4B9gF/nPMckiRJ6gJ5A8v5ZMsPARwo3R9Vsf2LZC2akiRJ6nF5A8u7geMAUkr3kS2K/viK7UcDR+Q8hyRJkrpA3lnhNwHPAD5Qevw14C0RcRdZ0PonwPdznkOSJEldIG+L5ceAn0bEYOnx/yEbV3k12Wzxe4DX5zyHJEmSukDeBdK/C3y34vGOiDgVeCIwCmxOKf0mXxUlSZLUDQpZIL1SSmmMbJkhSZIk9ZG6AsuIeFYjJ0kp3djIcZIkSeoe9bZYruPwjDrTidL+A3WeR5IkSV2m3sDyrKbUQpIkSV2vrsAypfSdZlVEkiRJ3S3vckMPiIjjI+JJEXHU9HtLkiSp1+QOLCPi3IjYDPwC+HfgzFL53Ij4YUS8MO85JEmS1PlyBZYR8XvAl4DdwHvIJusAkFLaDfwSeHWeczRQp2Mj4qqI2BUR90bEDRHxlBqPfWpEXBYRt0TESETUM1FJkiSpr+VtsXwncGNK6RnA302wfT1wes5z1CwiZgBfB14OfBx4KzAfWBcRJ9fwFC8A/ohsJvtPm1VPSZKkXpQ3sFwEfGGK7XeTBXatch7wdOBVKaX3pJT+DlhKlgXoPTUcfzlwTEppMbC2abWUJEnqQXkDy/uAqSbrPBbYk/Mc9TiPLJj9UrkgpbSLLPg9tyKn+YRSSnenlA40t4qSJEm9KW9geQPwyogYt2xRRDwCeC3w7ZznqMfpwL+X0kpWuhk4EljYzJNHxPyIOK3yBgw385ySJEmdIm+u8LcD3wd+AFxDNjbxeRGxDLiAbDJPLV3QRTkemCh95F2l+xOAHzfx/BcB72ri80uSJHWsXIFlSmlLRDwD+ChwCVkg+ZbS5nXAH6eUtjfy3KWJOLNq3P1gSikBs4GDE2y/v3Q/u5G61OEysgC70jDwlSafV5Ikqe3ytliSUroVeE5EzAEeR9a9/tPS2MY8nkXW1V6LU4HNwAFgonGUR5Tumzp+MqW0E9hZWRYRk+wtSZLUWxoOLCPiSODfgL9PKV2RUtpL1iVelM3UvgbmXRX3x0+wvVx2Z95KSZIkaWINB5Yppfsi4jFk4yoLl1L6FfDpOg/bCDwzImZUTeA5k2wG+9aCqidJkqQqeWeFfwt4XhEVKci1wMOBF5cLImIu8BLgaymlgxXlwxHhjG1JkqSC5B1jeQlwTURcDVwJ/IwJxjGmlP4r53lqdS3ZLPVPRcQTyFJNXgQMMH629nWl+wXlgog4CVhReri4VPaO0uM7UkpXN6fakiRJ3S9vYHlr6f4JZGkUJzOQ8zw1SSmNRsQLgA8BryebBf4Dskw8W2p4iseQBcuVyo+/AxhYSpIkTSJvYPlemjTGslGlSUR/VLpNtd+CCcrWkS2ZJEmSpDrlXcfy3QXVQ5IkSV0u7+QdSZIkCTCwlCRJUkEMLCVJklQIA0tJkiQVwsBSkiRJhTCwlCRJUiEMLCVJklQIA0tJkiQVwsBSkiRJhTCwlCRJUiHy5gqXJEnqeyOjY2zYvpd7DhzimNmzWLxgDjMH+q/9zsBSkiSpQSOjY1y+bhtr1m9n9/5DD5TPGxpkxZKTWLV0uK8CTANLSZKkBoyMjnH+mg3csGUXUbVt9/6DXLp2Kxt37OPKFWf0TXDZH3+lJElSwS5ft40btuwCIFVtKz++fvNOrli3raX1aicDS0mSpDqNjI6xZv32cS2V1QJYs/4ORkbHWlCr9jOwlCRJqtOG7XvZvf/QuJbKagnYtf8gG7bvbUW12s7AUpIkqU73HDg0/U459u9WBpaSJEl1Omb2rKbu360MLCVJkuq0eMEc5g7NqmmM5byhQRYvmNOKarWdgaUkVRgZHWP9tj18a9NdrN+2p28G3Euqz8yBGaxcsqCmMZYrl5zUN8sNuY6lJOEix5Lqt2rpMBt37OP6zTsJDl9yqPx42SnzuXDpcHsq2Ab+Lymp75UXOb507Vb27D98gH15keMLrr7F1ktJh5k5MIMrV5zB6uULmTs0eNi2uUODrF6+sK8WRwdbLCWprkWOLz775JbWTVJnmzkwg4vPPpkLlw6bKxwDS0l9rnKR46nGSpUXOb7QLnFJE5g5MIMlw8e1uxpt5/+OkvqaixxLUnEMLCX1NRc5lqTiGFhK6msucixJxem5wDIijo2IqyJiV0TcGxE3RMRTajhuRkS8KiK+GhE7Ssduioh3RMQRrai7pNZzkWNJKk5PBZYRMQP4OvBy4OPAW4H5wLqImG4q55HAp4B5wBXAG4GbgfcA34yI6b53JHUhFzmWpOL02qzw84CnAy9JKV0LEBFfALaSBYgvn+LYQ8Bvp5S+V1H29xGxvXTs2cC/NqPSktrLRY4lqRi99tP7POBu4EvlgpTSLuALwLkRMTjZgSmlQ1VBZdk/l+5PLbKikjqHixxLUjF6rcXydODfU0rV6TFuBs4HFgI/rvM5H1G6352zbpI6mIscS1J+vRZYHg/cOEH5XaX7E6g/sHwr8Gvgm9PtGBHzycZoVrLvTOoiLnIsSY3r2MCyNBGn1nU9DqaUEjAbODjB9vtL97PrrMPbgOcAF6WU9tVwyEXAu+o5hyRJUq/o2MASeBZwQ437ngpsBg4AE42jLC8XdKDWk0fE/wL+AvhkSunyGg+7DLimqmwY+Eqt55UkSepWnRxYbgZeXeO+d1XcHz/B9nLZnbU8WUQsB9aQLV10YY11IKW0E9hZ9Vy1Hi5JktTVOjawTCn9Cvh0nYdtBJ4ZETOqJvCcCdxHtuzQlCLiTLKZ4BuAl6aUflNnHSRJkvpSr011vBZ4OPDickFEzAVeAnwtpXSwonw4Ig6bWBMRp5K1Um4Hzkkp1dx1LkmS1O86tsWyQdcC3wc+FRFPIFsi6CJggPGTaq4r3S8AiIiHAv8CzAE+BPxuVTf2tpTS+qbVXJIkqcv1VGCZUhqNiBeQBYavJ5sF/gPgVSmlLdMcfhzw6NK//2qC7f8AGFhKkiRNoqcCS4CU0l7gj0q3qfZbUPV4O1n2NkmSJDWg18ZYSpIkqU0MLCVJklQIA0tJkiQVwsBSkiRJhTCwlCRJUiEMLCVJklQIA0tJkiQVwsBSkiRJhTCwlCRJUiEMLCVJklQIA0tJkiQVwsBSkiRJhTCwlCRJUiEMLCVJklQIA0tJkiQVwsBSkiRJhTCwlCRJUiEMLCVJklQIA0tJkiQV4iHtroAkSf1mZHSMDdv3cs+BQxwzexaLF8xh5oBtPep+BpaSJLXIyOgYl6/bxpr129m9/9AD5fOGBlmx5CRWLR02wFRXM7CUJKkFRkbHOH/NBm7Ysouo2rZ7/0EuXbuVjTv2ceWKMwwu1bV850qS1AKXr9vGDVt2AZCqtpUfX795J1es29bSeklFMrCUJKnJRkbHWLN++7iWymoBrFl/ByOjYy2olVQ8A0tJkppsw/a97N5/aFxLZbUE7Np/kA3b97aiWlLhDCwlSWqyew4cmn6nHPtLncLAUpKkJjtm9qym7i91CgNLSZKabPGCOcwdmlXTGMt5Q4MsXjCnFdWSCmdgKUlSk80cmMHKJQtqGmO5cslJLjekrtVz79yIODYiroqIXRFxb0TcEBFPqfHY10bEdyLi7og4GBE/i4hPRcSC5tZaktTrVi0dZtkp8wHGtVyWHy87ZT4XLh1uab2kIvVUYBkRM4CvAy8HPg68FZgPrIuIk2t4itOBnwEfBFYBnwF+B/hBRJzQlEpLkvrCzIEZXLniDFYvX8jcocHDts0dGmT18oUujq6u12uZd84Dng68JKV0LUBEfAHYCryHLOCcVErpouqyiPgysAFYCfxV0RWWJPWPmQMzuPjsk7lw6bC5wtWTejGwvBv4UrkgpbSrFFz+YUQMppQO1vmc20v3xxZTRUlSv5s5MIMlw8e1uxpS4XotsDwd+PeUUnXKgpuB84GFwI+ne5KIOA4YAE4E3lkqvq6G4+YD86qKHSwjSZL6Qq8FlscDN05Qflfp/gRqCCyBXwLlATB7gNenlNbWcNxFwLtq2E+SJKnndGxgWZqIU+sKsQdTSgmYDUzU1X1/6X52jc/3O8ARwKnAHwJH1XjcZcA1VWXDwFdqPF6SJKlrdWxgCTwLuKHGfU8FNgMHeLClsdIRpfsDtTxZSql83m9GxFeATRGxP6X08WmO2wnsrCyLmG45XEmSpN7QyYHlZuDVNe57V8X98RNsL5fdWW8lUkrbIuKHwCvIljCSJEnSBDo2sEwp/Qr4dJ2HbQSeGREzqibwnAncR7bsUCNmM3FLqCRJkkp6bdGsa4GHAy8uF0TEXOAlwNcqlxqKiOGIGK54/JCIGJecNSKeCjyRbC1LSZIkTaJjWywbdC3wfeBTEfEEYDfZTO0Bxs/WLi8ftKB0PwTsiIh/Am4F7iULKF8N3ANc0tSaS1IHGxkdc0FvSdPqqcAypTQaES8APgS8nqwL+wfAq1JKW6Y5/D7gE8BZZAutzyYbk/mPwF+klLY3q96S1KlGRse4fN021qzfzu79hx4onzc0yIolJ7Fq6bABpqQH9FRgCZBS2gv8Uek21X4Lqh4fAt7YvJpJUncZGR3j/DUbuGHLLqrXt9i9/yCXrt3Kxh37zG8t6QH+TyBJmtDl67Zxw5ZdAKSqbeXH12/eyRXrtrW0XpI6l4GlJGmckdEx1qzfPq6lsloAa9bfwchodSZdSf3IwFKSNM6G7XvZvf/QuJbKagnYtf8gG7bvbUW1JHU4A0tJ0jj3HDg0/U459pfUmwwsJUnjHDN7VlP3l9SbDCwlSeMsXjCHuUOzahpjOW9okMULxuWXkNSHDCwlSePMHJjByiULahpjuXLJSS43JAkwsJQkTWLV0mGWnTIfYFzLZfnxslPmc+HSYSQJDCwlSZOYOTCDK1ecwerlC5k7NHjYtrlDg6xevtDF0SUdpucy70iSijNzYAYXn30yFy4dNle4pGkZWEqSpjVzYAZLho9rdzUkdTh/bkqSJKkQBpaSJEkqhIGlJEmSCmFgKUmSpEIYWEqSJKkQBpaSJEkqhIGlJEmSCmFgKUmSpEK4QHrzzQK4/fbb210PSZKkKVXEK7MaOT5SSsXVRuNExP8EvtLuekiSJNXh3JTSV+s9yMCyySLiGODZwA7gUJur0wuGyQL1c4Ftba5LL/L6NpfXt7m8vs3l9W2uTrm+s4BHA99JKd1T78F2hTdZ6UWpO+LXxCKi/M9tKaVb21mXXuT1bS6vb3N5fZvL69tcHXZ9f9jogU7ekSRJUiEMLCVJklQIA0tJkiQVwsBS3WYX8J7SvYrn9W0ur29zeX2by+vbXD1xfZ0VLkmSpELYYilJkqRCGFhKkiSpEAaWkiRJKoSBpSRJkgphYClJkqRCGFiqo0TEUES8JyK+FRH/FREpIl41yb6nlvbbX9r36oiY1+Iqd5WI+K2I+HhE3BoR90bEzyPiCxGxcIJ9vb51iojTIuKaiPhpRNwXEbsj4saI+L0J9vX65hQRby/9H7Fpgm1Pj4jvll6HX0XExyJiqB317BYRsbR0PSe6Pa1qX69vgyLiKRHx1dLn/r6I2BQRr6/ap2uvr7nC1WnmAu8Efg78B7B0op0i4lHAjcA9wNuAIeDNwBMj4qkppUMtqW33+VPgt4FrgB8BjwBeB/x7RDwtpbQJvL45nAQ8FPgH4E7gSOD3ga9GxAUppavA61uE0jV8G3DvBNueDFwH/AR4E/Aosut7MvA7Laxmt/oY8IOqstvL//D6Ni4ingt8jSwX9yXAfmCY7BqW9+nu65tS8uatY27AIPCI0r8XAwl41QT7XQbcB5xYUfac0v7nt/vv6NQb8HRgVlXZycD9wGe8vk255gPARmCz17fQ6/p5si/fdcCmqm3fIAvsj64o+6PS9X1uu+veqTeyH/IJOG+a/by+jV3fo4FfAV8CZvTq9bUrXB0lpXQwpfSrGnb9feD/Syn9vOLYfwW2Ai9tVv26XUrpe6mqNSyldBtwK3BqRbHXtyAppVFgB3BsRbHXN4eIeBZwHvDGCbYdDSwn+6H064pNa8hah7y+NYiIh0bEuF5Nr28uLwceDrw9pTQWEUdFxGFxWC9cXwNLdZ2IeCQwH9gwweabgdNbW6PuFhFB9p/d7tJjr29OpS+MuRExHBF/QtZ9dV1pm9c3h4gYAP4W+ERK6ccT7PJEsmFeh13f0g+qjXh9a/Ep4NfA/RFxQ0Qsrtjm9W3cc8iu6yMjYgtZoPjriLg8Io4o7dP119fAUt3o+NL9XRNsuwt4WEQMtrA+3e4VwCOBfyo99vrm99dk+X5vBz4M/DPZWFbw+uZ1IdlY1v8zyfbpru8JzahUjzgEfBF4A3Au8A6yQOffIqIc0Hh9G3cyWdD4FeBfyHou/i/Ze/pTpX26/vo6eUfdaHbp/uAE2+6v2Gei7aoQEacAfwesJ5twAl7fIvwNcC3Zl8BLycZZzipt8/o2KCKOA94LXJJS2jXJbtNd39kTlItsqAzwvYqir0bEtWQT/d4PPB+vbx5DZBP6rn3wt7YAAAbuSURBVEgplWeBfykiZgEXRMQ76YHra4ulutGB0v1ErTpHVO2jSUTEI4Cvk81MPq80FhC8vrmllDanlP41pbQmpXQO2RfK10rDDry+jfsL4L/IusInM9319drWIaV0O1kL21mlYQhe38aVr80/VpV/rnS/hB64vgaW6kblLoLjJ9h2PPBfKSVbe6YQEccA3ySbUPL8lNKdFZu9vsW7FvgtYCFe34ZExMnA+WRL4ZwQEQsiYgHZl+3M0uOHMf31vXOCck1tB1mL+1F4ffMoX5u7q8p3lu7n0APX18BSXSel9Euy8WuLJ9j8VLIBzppEaZD418iCnHNSSv9Zud3r2xTl7qtjvL4NeyTZd9bHgJ9V3M4key//jGwN3E3Ab6i6vqXuxifj9W3EY8m6Yffj9c3jltL9I6vKy+Mmd9ED19fAUt3qi8A5EfHockFEnE32BXNN22rV4UpdWf9E1uXykpTS+kl29fo2ICLmT1A2E1hJ1oVVDuK9vvXbBLxogtutZAkVXgR8MqV0D/CvwB9GxEMrjl9BNiTB6zuJiTI/RcSTgP8JfDulNOb1zeULpfvXVJX/EVkwua4Xrm+UFt6UOkZEvI6si/YEYBXZYrI/LG3+25TSPaUv5B8C+4CPkn3g3gL8AvgtuxInFhF/Qzbj82s8+J/cA1JKnynt5/VtQET8M9kiyDcCvyTLbPQK4BRgdUrp0tJ+Xt+CRMQ6YG5KaVFF2VPIJqH8J3AVWeaS1cCNKaXntaOe3SAirif7AfQ9su7ZJ5ANPxgBlqSUflLaz+vboIj4JPC/yf7//Q7ZovQvAd6fUnpbaZ/uvr7tXqHdm7fqG7CdLMPARLcFFfudRrZkw73AXuAzwMPbXf9OvpFlKZns2qaqfb2+9V/flwFrybJrjJBNNFkL/M8J9vX6FnPN11GVeadU/gzg/5EFSjuBjwMPbXd9O/kGvB64CdhTev/eCVwNPM7rW9g1ngm8q/Q9dwi4DXhjL11fWywlSZJUCMdYSpIkqRAGlpIkSSqEgaUkSZIKYWApSZKkQhhYSpIkqRAGlpIkSSqEgaUkSZIKYWApSZKkQhhYSpIkqRAGlpIkSSqEgaUkSZIKYWApSW0WEZ+OiFS6baoof3epbG4L6/LGirq09NySut9D2l0BSRIAu4E/Afa1uR7fKtXlxcCL2lwXSV3GwFKSOsO9KaXPtLsSKaXN/3979w5iVxWGYfj9IkgQEQWNlyAqSSCITqWMgoKFF4h4KQwWCVoIIop2KbSQVCpiEzUKEQtBBhwV1BQWYnBARMTGEGLA6ARDtIjXiRiiYX6LvQeGg6OMZ50ch7xPs8+eWWvxlx//Wntv4ECS9RgsJS2TW+GSdIokWT3uGiRplAyWkjQCST5I8kmSG5PMJDkO7Giw7mVJDibZl+TC/m8LZzE3JplOMpfkxyQ7BsNskrVJXk3yXZITSWaTvJzkzGFrkyS3wiVpNCbozku+A7wCTAEHh1kwyTpgD/ATcEtV/TAwZBo4BDwOXAc8BpwH3NfPvwT4DDgX2AUcANYC9wBnAX8MU58kGSwlqbEka4A1dGHt2v7c4rBrbgQ+BI4At1XVz38zbLaq7up/70wyBzyc5Lmq2gs8DVwETFbV54vmPZkkw9YoSW6FS1J7E/31qRahErgKmKHrRt68RKgE2Dlw/0J/3ZRkFXA3sHsgVAJQVdWgTkmnOYOlJLV3dX99o9F6u4FjdJ3KuX8Y99XA/dfAPHA5cAFwDrAPSRoRg6UktTcBfF9V3zRa721gHbBlmfPsQko6pTxjKUntTQBfNFxvG3ASeCnJsaqaWmLcBmB20f16ugbCIeAoMEe3rS5JI2HHUpIaSnIGcCVtg2UBDwJvAa8luXOJcY8M3D/aX9+vqnm6J9TvSHLN4EQf3pHUgh1LSWprA7CatsGSqppPspUuHE4n2VRVewaGXZHkPbrPMl4PbAWmqmqhlieAW4GZJLuAL4GLgc3ADYz/c5KSVjg7lpLU1sKDO3tbL1xVf9K9c/JT4N0kkwND7gVOAM8AtwMvAg8smn8EmKTrfG4Bnqd7x+VHwO+t65V0+rFjKUkNVdWbwH/ZVl6V5HzgZFX90q+1Hdg+sP5x4KYl1jhaVZv/pb5vgfuX+n//pZ6z6d7BKUnLYsdSkv4fLqV7wObjMdfxUF/HtjHXIWkFsmMpSeP3LPB6//u3cRZC92qjxe+6/HVchUhaeQyWkjRmVbUf2D/uOgCq6jBweNx1SFqZ4le8JEmS1IJnLCVJktSEwVKSJElNGCwlSZLUhMFSkiRJTRgsJUmS1ITBUpIkSU0YLCVJktSEwVKSJElNGCwlSZLUhMFSkiRJTRgsJUmS1ITBUpIkSU0YLCVJktTEXwtj3ii5gk2pAAAAAElFTkSuQmCC\n",
|
|
"text/plain": [
|
|
"<Figure size 720x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plot(t, pot_nbody)\n",
|
|
"plot(t, pot_model)\n",
|
|
"legend(('$N$-body', 'Model'))\n",
|
|
"xlabel('$t$ [Gyr]')\n",
|
|
"figure()\n",
|
|
"relative_diff = (pot_model-pot_nbody)/pot_nbody\n",
|
|
"plot(t, relative_diff)\n",
|
|
"xlabel('$t$ [Gyr]')\n",
|
|
"ylabel('relative difference')\n",
|
|
"print('Mean', mean(relative_diff[~isnan(relative_diff)]))\n",
|
|
"print('Standard deviation', std(relative_diff[~isnan(relative_diff)]))\n",
|
|
"figure()\n",
|
|
"r = linalg.norm(X_orbit_snaps, axis=1)\n",
|
|
"plot(r, relative_diff, 'o')\n",
|
|
"xlabel('$r$ [kpc]')\n",
|
|
"ylabel('relative difference')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"# Results: radial force"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 16,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Mean deviation 0.016404071336846147\n",
|
|
"Standard deviation 0.31876831168776965\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"Text(0, 0.5, 'relative difference')"
|
|
]
|
|
},
|
|
"execution_count": 16,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
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"text/plain": [
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"<Figure size 720x480 with 1 Axes>"
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]
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},
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"metadata": {
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"needs_background": "light"
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},
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"output_type": "display_data"
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},
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{
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"data": {
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"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 720x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 720x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"acc_rad_nbody = sum(acc_nbody * X_orbit_snaps, axis=1)/r\n",
|
|
"acc_rad_model = sum(acc_model * X_orbit_snaps, axis=1)/r\n",
|
|
"\n",
|
|
"plot(t, acc_rad_nbody)\n",
|
|
"plot(t, acc_rad_model)\n",
|
|
"legend(('$N$-body', 'Model'))\n",
|
|
"xlabel('$t$ [Gyr]')\n",
|
|
"figure()\n",
|
|
"relative_diff = (acc_rad_model-acc_rad_nbody)/acc_rad_nbody\n",
|
|
"plot(t, relative_diff)\n",
|
|
"xlabel('$t$ [Gyr]')\n",
|
|
"ylabel('relative difference')\n",
|
|
"print('Mean deviation', mean(relative_diff[~isnan(relative_diff)]))\n",
|
|
"print('Standard deviation', std(relative_diff[~isnan(relative_diff)]))\n",
|
|
"figure()\n",
|
|
"plot(r, relative_diff, 'o')\n",
|
|
"xlabel('$r$ [kpc]')\n",
|
|
"ylabel('relative difference')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 17,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Mean deviation -0.01941862888166185\n",
|
|
"Standard deviation 0.14968771190939506\n"
|
|
]
|
|
},
|
|
{
|
|
"name": "stderr",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"/home/meiron/local/lib/python3.7/site-packages/ipykernel_launcher.py:2: RuntimeWarning: invalid value encountered in less\n",
|
|
" \n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"# without the rogue datapoint\n",
|
|
"relative_diff = relative_diff[abs(relative_diff)<1]\n",
|
|
"print('Mean deviation', mean(relative_diff[~isnan(relative_diff)]))\n",
|
|
"print('Standard deviation', std(relative_diff[~isnan(relative_diff)]))"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"# Results: z-force"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 18,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Mean deviation -0.17497269573813193\n",
|
|
"Standard deviation 2.4654906131204455\n"
|
|
]
|
|
},
|
|
{
|
|
"name": "stderr",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"/home/meiron/local/lib/python3.7/site-packages/ipykernel_launcher.py:9: RuntimeWarning: invalid value encountered in true_divide\n",
|
|
" if __name__ == '__main__':\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"Text(0, 0.5, 'relative difference')"
|
|
]
|
|
},
|
|
"execution_count": 18,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
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"text/plain": [
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"<Figure size 720x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
|
|
{
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"data": {
|
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"image/png": 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\n",
|
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"text/plain": [
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|
"<Figure size 720x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 720x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"acc_z_nbody = acc_nbody[:,2]\n",
|
|
"acc_z_model = acc_model[:,2]\n",
|
|
"\n",
|
|
"plot(t, acc_z_nbody)\n",
|
|
"plot(t, acc_z_model)\n",
|
|
"legend(('$N$-body', 'Model'))\n",
|
|
"xlabel('$t$ [Gyr]')\n",
|
|
"figure()\n",
|
|
"relative_diff = (acc_z_model-acc_z_nbody)/acc_z_nbody\n",
|
|
"plot(t, relative_diff)\n",
|
|
"xlabel('$t$ [Gyr]')\n",
|
|
"ylabel('relative difference')\n",
|
|
"print('Mean deviation', mean(relative_diff[~isnan(relative_diff)]))\n",
|
|
"print('Standard deviation', std(relative_diff[~isnan(relative_diff)]))\n",
|
|
"figure()\n",
|
|
"plot(r, relative_diff, 'o')\n",
|
|
"xlabel('$r$ [kpc]')\n",
|
|
"ylabel('relative difference')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "Python 3",
|
|
"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": "3.7.2"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 2
|
|
}
|