cosmo-replay/plot_orbits_from_scattering_experiments.ipynb
2020-05-13 14:11:48 -04:00

365 lines
274 KiB
Text

{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"from pylab import *\n",
"import matplotlib\n",
"matplotlib.rcParams['figure.dpi'] = 120\n",
"import matplotlib.patches as patches\n"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"data = loadtxt('results.dat')\n",
"x0, y0, z0, vx0, vy0, vz0 = data[:,:6].T\n",
"x, y, z, vx, vy, vz = data[:,6:].T\n",
"\n",
"d = sqrt(x**2 + y**2)\n",
"vd = (x*vx + y*vy)/d\n",
"vt = (x*vy - y*vx)/d\n",
"\n",
"d0 = sqrt(x0**2 + y0**2)\n",
"vd0 = (x0*vx0 + y0*vy0)/d0\n",
"vt0 = (x0*vy0 - y0*vx0)/d0\n",
"\n",
"\n",
"target_pos = array([-9.1817914423447837E+03, -2.3161972143758221E+03, 4.2321813890923086E+03]) # pc\n",
"target_vel = array([ 1.6995805137819784E+02, 1.3476658021349482E+02, -1.3342192079702110E+02]) # km/s\n",
"target_pos *= 0.001 # Now in kpc\n",
"target_vel *= 1.0226911647958985 # Now in kpc/Gyr\n",
"\n",
"target_x, target_y, target_z = target_pos\n",
"target_vx, target_vy, target_vz = target_vel\n",
"target_d = sqrt(target_x**2 + target_y**2)\n",
"target_vd = (target_x*target_vx + target_y*target_vy)/target_d\n",
"target_vt = (target_x*target_vy - target_y*target_vx)/target_d"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"def density_map(x, y, q=None, bin_edges=None, n_bins=32, log=False, **kargs):\n",
" if bin_edges is None:\n",
" x_min, x_max = x.min(), x.max()\n",
" y_min, y_max = y.min(), y.max()\n",
" x_bin_edges = linspace(x_min, x_max, n_bins+1)\n",
" y_bin_edges = linspace(y_min, y_max, n_bins+1)\n",
" else:\n",
" x_bin_edges, y_bin_edges = bin_edges\n",
" x_min, x_max = x_bin_edges[0], x_bin_edges[-1]\n",
" y_min, y_max = y_bin_edges[0], y_bin_edges[-1]\n",
" counts, _, _ = histogram2d(x, y, bins=[x_bin_edges, y_bin_edges])\n",
" if not q is None:\n",
" value, _, _ = histogram2d(x, y, bins=[x_bin_edges, y_bin_edges], weights=q)\n",
" counts[counts==0] = nan\n",
" value /= counts\n",
" else: value = counts\n",
" if log: value = log10(value)\n",
" return imshow(rot90(value), extent=[x_min, x_max, y_min, y_max], **kargs)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/meiron/local/lib/python3.7/site-packages/ipykernel_launcher.py:17: RuntimeWarning: divide by zero encountered in log10\n"
]
},
{
"data": {
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"text/plain": [
"<Figure size 1080x480 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"figsize = rcParams['figure.figsize']\n",
"fig = figure(figsize=[figsize[0]*1.5, figsize[1]])\n",
"\n",
"subplot(121)\n",
"bin_edges = linspace(-100,100,128)\n",
"density_map(x0, z0, bin_edges=[bin_edges, bin_edges], log=True, cmap='Spectral', vmin=0, vmax=3)\n",
"xlabel('$x$ [kpc]')\n",
"ylabel('$z$ [kpc]')\n",
"subplot(122)\n",
"image = density_map(x, z, bin_edges=[bin_edges, bin_edges], log=True, cmap='Spectral', vmin=0, vmax=3)\n",
"gca().set_yticklabels([])\n",
"xlabel('$x$ [kpc]')\n",
"plot(target_x, target_z, 'm*', mew=0)\n",
"subplots_adjust(left=0.075, bottom=0.15, top=0.95, right=0.9)\n",
"cbar_ax = fig.add_axes([0.92, 0.15, 0.02, 0.8])\n",
"cbar = fig.colorbar(image, cax=cbar_ax)\n",
"cbar.set_label('$\\log_{10} \\Sigma$ [arbitrary units]')\n",
"savefig('initial_and_final_projected_densities.png')"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"<Figure size 1080x480 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"figsize = rcParams['figure.figsize']\n",
"fig = figure(figsize=[figsize[0]*1.5, figsize[1]])\n",
"\n",
"subplot(121)\n",
"bin_edges = linspace(-100,100,128)\n",
"density_map(x0, z0, q=vy0, bin_edges=[bin_edges, bin_edges], log=False, cmap='Spectral', vmin=-200, vmax=200)\n",
"xlabel('$x$ [kpc]')\n",
"ylabel('$z$ [kpc]')\n",
"subplot(122)\n",
"image = density_map(x, z, q=vy, bin_edges=[bin_edges, bin_edges], log=False, cmap='Spectral', vmin=-200, vmax=200)\n",
"gca().set_yticklabels([])\n",
"xlabel('$x$ [kpc]')\n",
"subplots_adjust(left=0.075, bottom=0.15, top=0.95, right=0.9)\n",
"cbar_ax = fig.add_axes([0.92, 0.15, 0.02, 0.8])\n",
"cbar = fig.colorbar(image, cax=cbar_ax)\n",
"cbar.set_label('$v_y$ [kpc/Gyr]')\n",
"savefig('check_for_systematic_rotation.png')"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Ellipsoid aspect ratios:\n",
"b/a = 0.9156\n",
"c/a = 0.4693\n",
"\n",
"Ellipsoid minor axis dirction:\n",
"θ = 8.0773°\n",
"ϕ = 144.3822°\n",
"\n",
"Miyamoto-Nagai parameters from medians:\n",
"a_mn = 10.1346 [kpc]\n",
"b_mn = 7.1859 [kpc]\n"
]
}
],
"source": [
"import ellipsoids\n",
"Q = ellipsoids.quadrupole_tensor(x, y, z)\n",
"eigenvalues, eigenvectors = np.linalg.eig(Q)\n",
"i = np.argsort(eigenvalues)\n",
"print('Ellipsoid aspect ratios:')\n",
"print('b/a = %8.4f' % (np.sqrt(eigenvalues[i[1]]/eigenvalues[i[2]])))\n",
"print('c/a = %8.4f' % (np.sqrt(eigenvalues[i[0]]/eigenvalues[i[2]])))\n",
"R = ellipsoids.rotation_matrix_from_eigenvectors(eigenvectors, eigenvalues)\n",
"direction = R[2,:]\n",
"if direction[2] < 0: direction = -direction\n",
"theta = arccos(direction[2]/linalg.norm(direction))\n",
"phi = arctan2(direction[1], direction[0])\n",
"print('\\nEllipsoid minor axis dirction:')\n",
"print('θ = %8.4f°' % rad2deg(theta))\n",
"print('ϕ = %8.4f°' % rad2deg(phi))\n",
"\n",
"import scipy.optimize\n",
"def miyamoto_nagai_params_from_medians(m_d, m_z):\n",
" m_d_pred = lambda x: exp(1.43475163 + (1.04827148*log(x)-1.09023112)*(arctan(log(x)/2.30939056)/pi+0.5))\n",
" m_z_pred = lambda x: 5.77340E-01*x\n",
" b_over_a = scipy.optimize.brentq(lambda x: m_d_pred(x)/m_z_pred(x)-m_d/m_z, 1/64, 64)\n",
" a1 = m_d/m_d_pred(b_over_a)\n",
" a2 = m_z/m_z_pred(b_over_a)\n",
" a = 0.5*(a1 + a2)\n",
" b = a*b_over_a\n",
" return a, b\n",
"\n",
"m_z = median(abs(z))\n",
"m_d = median(sqrt(x**2+y**2))\n",
"a_mn, b_mn = miyamoto_nagai_params_from_medians(m_d, m_z)\n",
"print('\\nMiyamoto-Nagai parameters from medians:')\n",
"print('a_mn = %8.4f [kpc]' % a_mn)\n",
"print('b_mn = %8.4f [kpc]' % b_mn)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, '$r_\\\\mathrm{final}$ [kpc]')"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x480 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"r = sqrt(x**2 + y**2 + z**2)\n",
"r0 = sqrt(x0**2 + y0**2 + z0**2)\n",
"plot(r0, r, ',', alpha=0.25)\n",
"xlim(0,75)\n",
"ylim(0,150)\n",
"xlabel('$r_\\mathrm{initial}$ [kpc]')\n",
"ylabel('$r_\\mathrm{final}$ [kpc]')"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"65403"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"len(x)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x2b22e937be10>"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x480 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x480 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"X0 = r_[[x0],[y0],[z0]].T\n",
"X = r_[[x ],[y ],[z ]].T\n",
"V0 = r_[[vx0],[vy0],[vz0]].T\n",
"V = r_[[vx ],[vy ],[vz ]].T\n",
"L0 = cross(X0, V0)\n",
"L = cross(X , V )\n",
"L0_mag = linalg.norm(L0, axis=1)\n",
"L_mag = linalg.norm(L, axis=1)\n",
"bin_edges = linspace(0, 1000, 129)\n",
"hist(L0_mag, bins=bin_edges);\n",
"hist(L_mag, bins=bin_edges, alpha=0.75);\n",
"legend(('$|\\mathbf{L}_\\mathrm{initial}|$', '$|\\mathbf{L}_\\mathrm{final}|$'))\n",
"figure()\n",
"bin_edges = linspace(-900, 900, 129)\n",
"hist(L [:,0], bins=bin_edges, alpha=1.00);\n",
"hist(L [:,1], bins=bin_edges, alpha=0.75);\n",
"hist(L [:,2], bins=bin_edges, alpha=0.75);\n",
"legend(('$L_x$', '$L_y$', '$L_z$'))"
]
}
],
"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
}