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@PBarmby
Created July 13, 2017 14:22
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Galaxy visualization example
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{
"cells": [
{
"cell_type": "code",
"execution_count": 45,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from astropy.coordinates import SkyCoord\n",
"from astroquery.vizier import Vizier\n",
"import astropy.units as u\n",
"import numpy as np"
]
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from mpl_toolkits.mplot3d import Axes3D, proj3d\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# set this to get all rows of catalog\n",
"Vizier.ROW_LIMIT = -1"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# retrieve Karachentsev catalog\n",
"ktab = Vizier.get_catalogs('J/AJ/145/101/catalog')[0]"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# convert the coordinates in the catalog into something astropy.coords can deal with\n",
"# empty arrays\n",
"ra = np.zeros((len(ktab))).astype('object')\n",
"dec = np.zeros((len(ktab))).astype('object')\n",
"\n",
"# convert byte strings\n",
"for r in range(0,len(ktab)):\n",
" ra[r] = ktab['RAJ2000'][r].decode('utf8')\n",
" dec[r] = ktab['DEJ2000'][r].decode('utf8')\n",
"\n",
"# grab the distances\n",
"dist = np.array(ktab['Dist'])*u.Mpc "
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# now create Skycoords\n",
"kcoord = SkyCoord(ra,dec,unit=(u.hourangle,u.deg),distance=dist*u.Mpc)\n",
"x = kcoord.cartesian.x\n",
"y = kcoord.cartesian.y\n",
"z = kcoord.cartesian.z"
]
},
{
"cell_type": "code",
"execution_count": 109,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# generate a size for points\n",
"# here we use a scaled version of the absolute K-magnitude\n",
"# (with a sign flip so that bigger numbers mean a brighter galaxy)\n",
"neg_abs_k = 5*np.log10(ktab['Dist']*1e5)-ktab['Kmag']\n",
"glx_size = 0.1+3*(neg_abs_k-neg_abs_k.min())"
]
},
{
"cell_type": "code",
"execution_count": 103,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# generate a mask to use for colours \n",
"# here we use the TType\n",
"early_mask = ktab['TT']<5"
]
},
{
"cell_type": "code",
"execution_count": 138,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def galaxy_xyz(x,y,z,plot_hw,cmask,sz,el=None,az=None):\n",
" '''make 3D plot of positions\n",
" x,y,z: Cartesian coordinates\n",
" plot_hw: plot half width in same units as coordinates\n",
" cmask: color mask: if mask is true points are red, if not, blue\n",
" sz: size scaling for points\n",
" el,az: elevation and azimuth for viewpoint\n",
" '''\n",
" fig = plt.figure(figsize=(9,9))\n",
" ax = fig.add_subplot(111, projection='3d')\n",
"# set figure axis limits\n",
" ax.set_xlim(-plot_hw,plot_hw)\n",
" ax.set_ylim(-plot_hw,plot_hw)\n",
" ax.set_zlim(-plot_hw,plot_hw)\n",
"# create masks to include only galaxies within plot\n",
"# using x.value (etc) here to avoid unit problems\n",
" plotmask_red = np.logical_and(np.logical_and(np.abs(x.value)<plot_hw,np.abs(y.value)<plot_hw),\n",
" np.logical_and(np.abs(z.value)<plot_hw,cmask))\n",
" plotmask_blue = np.logical_and(np.logical_and(np.abs(x.value)<plot_hw,np.abs(y.value)<plot_hw),\n",
" np.logical_and(np.abs(z.value)<plot_hw,np.logical_not(cmask)))\n",
"# plot the blue and then the red points\n",
" ax.scatter(x[plotmask_blue],y[plotmask_blue],z[plotmask_blue], \n",
" marker='o',sizes=sz[plotmask_blue],alpha=0.6,c='b')\n",
" ax.scatter(x[plotmask_red],y[plotmask_red],z[plotmask_red],\n",
" marker='o',sizes=sz[plotmask_red],alpha=0.6,c='r')\n",
" ax.set_xlabel('X [Mpc]')\n",
" ax.set_ylabel('Y [Mpc]')\n",
" ax.set_zlabel('Z [Mpc]')\n",
" if el!=None and az !=None:\n",
" ax.view_init(el,az)\n",
" plt.show()\n",
" return\n"
]
},
{
"cell_type": "code",
"execution_count": 139,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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MA6GiooLXX3+dG264gaFDhzJlyhTOOOMMJkyY0KYVVpdeeinvvPMOAJdccglv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\nW0qk6rlPJoG1IcRjhMxiqOvIQQwEW5PP54NOp4NarUZVVRXWrVuH1atX4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7FQjFC1HKiL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CxqIm4mR6+vRp/t/C1ECjRo0AAKWlpaK/ZipDNsTAbgUi6mKZrxAPybQjDnRJJFGDDz/8EKtX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\nBLq7u+Fyubj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"text/plain": [
"<matplotlib.figure.Figure at 0x1112587f0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"galaxy_xyz(x,y,z,5,early_mask,size)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"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": "3.5.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
@eteq
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eteq commented Jul 14, 2017

This is great @PBarmby! At @mwcraig's suggestion, here's a way to render the 3D plot as an interactable version using ipyvolume:

import ipyvolume

fig = ipyvolume.Figure(width=800, height=800)
scats = [ipyvolume.Scatter(x=x.value[early_mask], y=y.value[early_mask], z=z.value[early_mask], 
                           color='red', geo='sphere', size=-Kabs/50),
         ipyvolume.Scatter(x=x.value[~early_mask], y=y.value[~early_mask], z=z.value[~early_mask], 
                           color='blue', geo='sphere', size=-Kabs/50)]
fig.scatters = scats

fig.xlim = fig.ylim = fig.zlim = (-10, 10)
fig

(not the fig at the end is important: without that it never appears in the notebook)

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