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August 29, 2015 14:08
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Code to show galactocentric stuff
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{ | |
"metadata": { | |
"name": "", | |
"signature": "sha256:18da0f80a7cd02aa391cbcef5a427b15b67da9c81e7a5966cba73a5da31f21e8" | |
}, | |
"nbformat": 3, | |
"nbformat_minor": 0, | |
"worksheets": [ | |
{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"import numpy as np\n", | |
" \n", | |
"import matplotlib.pyplot as plt\n", | |
"from mpl_toolkits.mplot3d import Axes3D\n", | |
"\n", | |
"%matplotlib inline\n", | |
" \n", | |
"from astropy.coordinates import *\n", | |
"from astropy import units as u" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 1 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"def make_plot(fig):\n", | |
" ax = fig.add_subplot(111, projection='3d')\n", | |
" \n", | |
"\n", | |
" icrszaxspher = ICRS(np.repeat([0,180], 60)*u.deg,np.tile(np.linspace(-90,90,60),2)*u.deg,8.3*u.kpc)\n", | |
" icrsxaxspher = ICRS(np.linspace(0,360,120)*u.deg,0*u.deg,8.3*u.kpc)\n", | |
" disk=SphericalRepresentation(np.linspace(0,360,120)*u.deg,0*u.deg,8.3*u.kpc)\n", | |
" galzaxspher = Galactic(np.repeat([0,180], 60)*u.deg,np.tile(np.linspace(-90,90,60),2)*u.deg,8.3*u.kpc)\n", | |
" icrscen=ICRS([0]*u.deg,[0]*u.deg,[0]*u.kpc)\n", | |
"\n", | |
" ax.plot3D(*icrsxaxspher.transform_to(Galactocentric).cartesian.xyz.value, c='b', label='ICRS XY-plane')\n", | |
" ax.plot3D(*icrszaxspher.transform_to(Galactocentric).cartesian.xyz.value, c='r', label='ICRS XZ-plane')\n", | |
" ax.scatter3D([0],[0],[0],c='g')\n", | |
" ax.scatter3D(*icrscen.transform_to(Galactocentric).cartesian.xyz.value, c='r')\n", | |
" ax.plot3D(*disk.to_cartesian().xyz.value, c='g', label='Galactocentric XY-plane')\n", | |
" ax.plot3D(*galzaxspher.transform_to(Galactocentric).cartesian.xyz.value, c='k', label='Galactic XZ-plane')\n", | |
" ax.set_zlabel('$z_{galo}$',fontsize=24)\n", | |
" ax.set_xlabel('$x_{galo}$',fontsize=24)\n", | |
" ax.set_ylabel('$y_{galo}$',fontsize=24)\n", | |
"\n", | |
" ax.set_xlim(-15, 10)\n", | |
" ax.set_ylim(-12.5, 12.5)\n", | |
" ax.set_zlim(-12.5, 12.5)\n", | |
"\n", | |
" ax.set_aspect(1)\n", | |
" \n", | |
" return ax\n", | |
" " | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 2 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"fig = plt.figure(figsize=(10,10))\n", | |
"ax = make_plot(fig)\n", | |
"ax.elev = 30\n", | |
"ax.azim = 60" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"stream": "stderr", | |
"text": [ | |
"/Users/erik/src/astropy/build/lib.macosx-10.9-x86_64-2.7/astropy/coordinates/builtin_frames.py:659: RuntimeWarning: invalid value encountered in arcsin\n", | |
" M = rotation_matrix(np.arcsin(galactocentric_frame.z_sun / dist_sun), 'y')\n" | |
] | |
}, | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
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NU1y5+O3k2VMckOBJk2IrbC3kb401+4tfKp6t2R8JBILILaIooqyszJCruKgthTkhwZMB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\nLVvVflNRYJk9G6Hbb8//wPJE9+7dsW3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K/tVXIY0cicjjj6Pr0jtwwUAV48dLSVduZUN8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\nCCGEEEIIIYQQQgghhBBCiPrsv/Dqzkfsz7qAAAAAAElFTkSuQmCC\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x10aa4a5d0>" | |
] | |
} | |
], | |
"prompt_number": 3 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"fig = plt.figure(figsize=(10,10))\n", | |
"ax = make_plot(fig)\n", | |
"ax.elev = 0\n", | |
"ax.azim = 0" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": 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tmJ9/jt2qFRDZ8+VkNrbzsqeeegqAFStWuFzJiRnff4/v+ecJjxsHhkFSEgwd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\newvUxRXO1KUlp1UedsKpGwuCXTolJSXUqVMn4pqWS0tLMU0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| |
"text": [ | |
"<matplotlib.figure.Figure at 0x10af009d0>" | |
] | |
} | |
], | |
"prompt_number": 4 | |
} | |
], | |
"metadata": {} | |
} | |
] | |
} |
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# coding: utf-8 | |
import numpy as np | |
import matplotlib.pyplot as plt | |
from mpl_toolkits.mplot3d import Axes3D | |
from astropy.coordinates import * | |
from astropy import units as u | |
fig = plt.figure() | |
ax = fig.add_subplot(111, projection='3d') | |
icrszaxspher = ICRS(np.repeat([0,180], 60)*u.deg,np.tile(np.linspace(-90,90,60),2)*u.deg,8.3*u.kpc) | |
icrsxaxspher = ICRS(np.linspace(0,360,120)*u.deg,0*u.deg,8.3*u.kpc) | |
disk=SphericalRepresentation(np.linspace(0,360,120)*u.deg,0*u.deg,8.3*u.kpc) | |
galzaxspher = Galactic(np.repeat([0,180], 60)*u.deg,np.tile(np.linspace(-90,90,60),2)*u.deg,8.3*u.kpc) | |
icrscen=ICRS([0]*u.deg,[0]*u.deg,[0]*u.kpc) | |
ax.plot3D(*icrsxaxspher.transform_to(Galactocentric).cartesian.xyz.value, c='b', label='ICRS XY-plane') | |
ax.plot3D(*icrszaxspher.transform_to(Galactocentric).cartesian.xyz.value, c='r', label='ICRS XZ-plane') | |
ax.scatter3D([0],[0],[0],c='g') | |
ax.scatter3D(*icrscen.transform_to(Galactocentric).cartesian.xyz.value, c='r') | |
ax.plot3D(*disk.to_cartesian().xyz.value, c='g', label='Galactocentric XY-plane') | |
ax.plot3D(*galzaxspher.transform_to(Galactocentric).cartesian.xyz.value, c='k', label='Galactic XZ-plane') | |
ax.set_zlabel('$z_{galo}$',fontsize=24) | |
ax.set_xlabel('$x_{galo}$',fontsize=24) | |
ax.set_ylabel('$y_{galo}$',fontsize=24) | |
ax.set_xlim(-15, 10) | |
ax.set_ylim(-12.5, 12.5) | |
ax.set_zlim(-12.5, 12.5) | |
ax.set_aspect(1) | |
plt.show() |
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