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@joezuntz
Created April 1, 2015 10:02
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{
"metadata": {
"kernelspec": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"display_name": "IPython (Python 2)",
"language": "python",
"name": "python2"
},
"name": "",
"signature": "sha256:1cccf27d307f466ac6231afd1b04e7ad19b9132fb47fce9d78f45fbe663b95e7"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"pylab inline"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#parse the stars file\n",
"#just want every fourth line\n",
"stars = []\n",
"cons = []\n",
"for i,line in enumerate(open('stars.txt')):\n",
" if i%4==0:\n",
" words = line.split()\n",
" hd = int(words[0])\n",
" flamsteed = int(words[6])\n",
" ra = float(words[2])\n",
" dec = float(words[3])\n",
" stars.append((hd, flamsteed, ra, dec))\n",
" elif i%4==2:\n",
" cons.append(line.strip())"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 10
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#lookup a star in the stars file by number\n",
"def lookup(con, num):\n",
" if con=='HD':\n",
" for star in stars:\n",
" if star[0]==num:\n",
" return star[2]/24.*360.,star[3]\n",
" raise ValueError(\"Not found\")\n",
" else:\n",
" for star,const in zip(stars,cons):\n",
" if star[1]==num and con==const:\n",
" return star[2]/24.*360.,star[3]\n",
" raise ValueError(\"Not found\")\n",
"\n",
" \n",
"#parse the lines file\n",
"line_text = []\n",
"n=0\n",
"for line in open(\"lines.txt\"):\n",
" line=line.strip()\n",
" if '#' in line: line = line[:line.index('#')]\n",
" if line: line_text.append(line)\n",
"line_text = ' '.join(line_text)\n",
"\n",
"lines = []\n",
"for line_descriptor in line_text.split(';'):\n",
" words = line_descriptor.split()\n",
" this_line = []\n",
" for i in xrange(len(words)/2):\n",
" con=words[i*2]\n",
" num=int(words[i*2+1])\n",
" ra, dec = lookup(con, num)\n",
" this_line.append((ra, dec))\n",
" lines.append(this_line)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 20
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#plot the constellations\n",
"healpy.mollview(np.repeat(0,12))\n",
"for line in lines:\n",
" ra = np.array([l[0] for l in line])\n",
" dec = np.array([l[1] for l in line])\n",
" theta = np.radians(90-dec)\n",
" phi = np.radians(ra)\n",
" healpy.projplot(theta, phi)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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+9IUxJ9mEHTMGM+HwfJXu5VWcr8u6IWEEv3maRgMiXnv/vHRjMaeuHjOwKOD2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YuuWUGZleKyoH6LNLr9J4yz//VkyF975LZPdTnzZV9a+N3Aqo1iR5ZZNH9G8+ExRPzUk96Ljr/x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\nkwNRmhSIqiu+8IhUwH9hMfzmlUBZ4IbsfdG4neeOs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Ih6EkVRMHYbSPoY6kii3upcywFY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\n/kesqZQgDgAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x104cbb850>"
]
}
],
"prompt_number": 45
}
],
"metadata": {}
}
]
}
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