Created
March 14, 2017 19:16
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"import vaex\n", | |
"%matplotlib inline" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"tgas = vaex.datasets.tgas.fetch()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 13, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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QQkiPwQkgIYQQQkiPwQkgIYQQQkiPwQkgIYQQQkiPwQkgIYQQQkiPsa5UwCJy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\neKuY63NamXOsrmVnu7Lef2U80arGL8x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Ldm2/AX7RdGLWKTf8cOooAoku/rdOUBlzTiMf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\nSZKknrEBlCRJ6pmXX/qReH+A/y4AAAAASUVORK5CYII=\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x13e957b70>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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LFdibAUxMlebuv+zup7j7GUXdl004EQKDn0F+uOjzBuDHANw0gXoN5b5/HgY/C73O3Vcm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\nNAAUQgghhKgZ/z92CGdK+N2SSQAAAABJRU5ErkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x13ec84898>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"for smooth in [None, 1]:\n", | |
" tgas.plot(\"ra\", \"dec\", limits=[[0, 360], [-90, 90]], shape=(60, 30), vmin=-16, vmax=16,\n", | |
" what=[\"mean(pmra)\", \"mean(pmdec)\"], colormap='viridis', figsize=(9,4), smooth_pre=smooth,\n", | |
" show=True)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 26, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.quiver.Quiver at 0x14154eeb8>" | |
] | |
}, | |
"execution_count": 26, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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uMBavXCQWVddxcLAHTe7K0PiKJCOlZvH500cqrspmLjZNmDBhYmlQjA5fBHQC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\nzQBo4iUuGEixii+N20VO5rg0j3epdajNyefvaq6gxJZFVI/z1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ZpawZMdb+ILBzR5hidD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xFppaPPh+gU0/vchoJmHWGbEaTMxmmo8aZzZd3lF6LjeZt8RlWH1VVR8DHns3+15RE85YGkpS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\nMBOpBBl9brZwOFHIKvPDP6Y0NOocVQzF1Zm2KluAdf7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VelBS6DJGSR33xKsMMTXY1PSG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O3GftJsIjRA0DeSljdQKSLUQNI7N9Y3U2Zz8dRQ1gFAhg1Ieijf4+dz6GmvXGNlv9XF1rJ2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\nQv7W2KLpW/3VaEld8y5w2Gy8f+lS/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fONyHqwmI3IIP9CysuNuhkIjT9xmZudyeI5BSwu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\nrkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x140272320>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"import numpy as np\n", | |
"import matplotlib.pylab as plt\n", | |
"mean_pmra = tgas.mean(\"pmra\", binby=[\"ra\", \"dec\"], limits=[[0, 360], [-90, 90]],\n", | |
" shape=16)\n", | |
"mean_pmdec = tgas.mean(\"pmdec\", binby=[\"ra\", \"dec\"], limits=[[0, 360], [-90, 90]],\n", | |
" shape=16)\n", | |
"\n", | |
"# create a 2d array with holds the center of the bins\n", | |
"centers_ra = np.linspace(0, 360, 16, endpoint=False)\n", | |
"centers_ra += (centers_ra[1] - centers_ra[0])/2\n", | |
"centers_dec = np.linspace(-90, 90, 16, endpoint=False)\n", | |
"centers_dec += (centers_dec[1] - centers_dec[0])/2\n", | |
"dec, ra = np.meshgrid(centers_dec, centers_ra)\n", | |
"\n", | |
"\n", | |
"# background density\n", | |
"tgas.plot(\"ra\", \"dec\", limits=[[0, 360], [-90, 90]], f=\"log1p\", figsize=(10,6), shape=128, colormap='viridis')\n", | |
"\n", | |
"# overplot the mean vectors\n", | |
"plt.quiver(ra.flatten(), dec.flatten(), mean_pmra.flatten(), mean_pmdec.flatten(),\n", | |
" color=\"white\", alpha=0.75)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [] | |
} | |
], | |
"metadata": { | |
"anaconda-cloud": {}, | |
"kernelspec": { | |
"display_name": "Python [default]", | |
"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": "3.5.2" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 2 | |
} |
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