{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# XMM-LSS master catalogue\n", "## Preparation of Spitzer Adaptation of the Red-sequence Cluster Survey (SpARCS) data\n", "\n", "This catalogue comes from `dmu0_SpARCS`. Alexandru Tudorica confirmed that the magnitudes are AB ones and are not aperture corrected.\n", "\n", "In the catalogue, we keep:\n", "\n", "- The internal identifier (this one is only in HeDaM data);\n", "- The position;\n", "- The ugrzy magnitudes in the 8th aperture (11×0.186=2.046 arcsec).\n", "- The \"auto\" magnitudes.\n", "\n", "The maps on the web page indicate they were observed in 2012 (or late 2011). Let's use 2012 as epoch." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "This notebook was run with herschelhelp_internal version: \n", "33f5ec7 (Wed Dec 6 16:56:17 2017 +0000)\n" ] } ], "source": [ "from herschelhelp_internal import git_version\n", "print(\"This notebook was run with herschelhelp_internal version: \\n{}\".format(git_version()))" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "#%config InlineBackend.figure_format = 'svg'\n", "\n", "import matplotlib.pyplot as plt\n", "plt.rc('figure', figsize=(10, 6))\n", "\n", "from collections import OrderedDict\n", "import os\n", "\n", "from astropy import units as u\n", "from astropy.coordinates import SkyCoord\n", "from astropy.table import Column, Table\n", "import numpy as np\n", "\n", "from herschelhelp_internal.flagging import gaia_flag_column\n", "from herschelhelp_internal.masterlist import nb_astcor_diag_plot, remove_duplicates, nb_plot_mag_ap_evol, nb_plot_mag_vs_apcor\n", "from herschelhelp_internal.utils import aperture_correction, astrometric_correction, mag_to_flux" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "OUT_DIR = os.environ.get('TMP_DIR', \"./data_tmp\")\n", "try:\n", " os.makedirs(OUT_DIR)\n", "except FileExistsError:\n", " pass\n", "\n", "RA_COL = \"sparcs_ra\"\n", "DEC_COL = \"sparcs_dec\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## I - Parametres for aperture correction\n", "\n", "To compute aperture correction we need to dertermine two parametres: the target aperture and the range of magnitudes for the stars that will be used to compute the correction.\n", "\n", "**Target aperture**: To determine the target aperture, we simulate a curve of growth using the provided apertures and draw two figures:\n", "- The evolution of the magnitudes of the objects by plotting on the same plot aperture number vs the mean magnitude.\n", "- The mean gain (loss when negative) of magnitude is each aperture compared to the previous (except for the first of course).\n", "\n", "As target aperture, we should use the smallest (i.e. less noisy) aperture for which most of the flux is captures.\n", "\n", "**Magnitude range**: To know what limits in aperture to use when doing the aperture correction, we plot for each magnitude bin the correction that is computed and its RMS. We should then use the wide limits (to use more stars) where the correction is stable and with few dispersion." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# We are using the aperture index 7 (0 base) that correspond to 11 pix * 0.186 arcsec/pix = 2.046 arcsec\n", "AP_INDEX = 7" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING: UnitsWarning: '\"\"' did not parse as fits unit: Invalid character at col 0 [astropy.units.core]\n" ] } ], "source": [ "t = Table.read(\"../../dmu0/dmu0_SpARCS/data/SpARCS_HELP_XMM-LSS.fits\")\n", "\n", "stellarity = t['CLASS_STAR']\n", "\n", "mags_r = np.array(t['MAG_APER_r']).T\n", "mags_r[mags_r == 99] = np.nan\n", "\n", "mags_u = np.array(t['MAG_APER_u']).T\n", "mags_u[mags_u == 99] = np.nan\n", "\n", "mags_g = np.array(t['MAG_APER_g']).T\n", "mags_g[mags_g == 99] = np.nan\n", "\n", "mags_z = np.array(t['MAG_APER_z']).T\n", "mags_z[mags_z == 99] = np.nan\n", "\n", "mags_y = np.array(t['MAG_APER_y']).T\n", "mags_y[mags_y == 99] = np.nan\n", "\n", "del t" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### I.a r-band" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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mA4CxwOyDTn0J+MdR9P1meLrrD2aW206/qWY2x8zmVFRUHEm5EgU/vrSU9OQQ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\nKNNLx+B5YFpwexrw3KFPsMS82IPAsnpOjUkS+dWrK3lp6Va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E6kUlJ4m8pqkqERGRyKjk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\nCIYAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_ap_evol(mags_r, stellarity)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use the 16th (aperture number above begin to 0) aperture as target." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:131: RuntimeWarning: invalid value encountered in greater_equal\n", " mask &= (mag >= mag_min)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:133: RuntimeWarning: invalid value encountered in less_equal\n", " mask &= (mag <= mag_max)\n" ] }, { "data": { "image/png": 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3900w21w4XNeBybn6iJ3bn1NNRp9jxpxzlKxbjRkXzMOM2RfF5HqCcS5T5pmV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\nSUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_vs_apcor(mags_r[AP_INDEX], mags_r[15], stellarity)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use magnitudes between 17 and 17.9." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### I.b u-band" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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lpfWVjEqL58fXTmJO0Ql37RAREQcMZqmpw7MA3rPAKo6bHxOIu3er1MiZWLGr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\nTt+N+FNRE856oHu5/W7BMYmAu68PHjcBLxDrHpRo5ZlZZ4DgcVPEedK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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_ap_evol(mags_u, stellarity)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use the 16th (aperture number above begin to 0) aperture as target. Should we use the 12nd because of the increasing magnitude?" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:131: RuntimeWarning: invalid value encountered in greater_equal\n", " mask &= (mag >= mag_min)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:133: RuntimeWarning: invalid value encountered in less_equal\n", " mask &= (mag <= mag_max)\n" ] }, { "data": { "image/png": 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zgYTCUWrjzTUQ68Rm4Mqv3fjb21j28tJYIHntRbo6O8n3FDB1/4N4+dkltDQ2\n8PsbFuPOy093UbPWf//9OI/fczunffv7HH7MyekuTtLYLCZcNjNOmxm3zYLLZsZlt+CymjGZFKFI\nlI1NATY1BQz5rXYo3HbLziBS4LLu0jEzG3hdsRqfiWX5tHaGqI8HlURD+Z7YrSbG+NxUFToTHk05\nutDFpqZOQ/bxm3PE0Xz9nAt58I4bmHbAbOaddHq6i9QnadYZptZAiHc2NWftN7Fkamlq4I0Xn+O1\npU/z7puvEg6H8JWUcchRxzF3/gnMOGAOFquVF596lKsv/yHjJ03hilvuo8BXnO6iZ52N61Zz4deP\nZdzek/nLXY9itdkG/iUDMZsVLqsZt92yM4Q4bWZcNjPWQX7LDcdnPt7QGMioEWsWs6KqwMmoQhdO\nm3HnTUqltq4QdW3d1LV1EUhSUHHazIwpclHpdSa1tmlbaycfbUlOP8Rki4TD/Oyc01n90fv8/YF/\nM3bCPjsfM0qzjoSTYWjrCvHOhuaM//aVSnXbtvD6C//mtaVP8+HKZUSjUcpHVTN33vHMnXcCk/c9\noM8pvpe9/Dx/+Mn3KasazVWLHpBF55Ko0+/nom8cR2tzIzc9/PygJmRKB5MJnNZYzYfbbsZpi9V+\nuOzmhOeE6Ska1TtDihG/4e7gspup9rmo8Cb+jT6btHeFdvZRGU6nf5fdzNgiNxVeR0pWjNZas2x9\nk2GX/Wio2855p8/D4y3khgeexemOdYjPinCilPIBDwJjgRrgDK11c69tHMArgJ1YM9IjWuvfDmb/\nRgwn/u4wKzY0E8qgb1wjZXPNWl5b+gyvL32GTz94F4CxEyZxSDyQ7LXP1EG9Caxa8Sa/vuBs8vI9\n/On2hxg1dq9UFz3raa258tLzefnZJ7jytgfZf86h6S4SEAsipfkOvE5rrBnGZsFhNaXkw6I/0ahm\ne1sXNQ3+pH0bT4bifDujC50U5dnTXRTD6+gOU9cWa/rxd+85DOQ5LIwrdlOab0/5/1lDRzfvbWxJ\n6TES8c5br3LZ987gyONP47I/3YhSKmvCydVAk9b6KqXUZUCh1vrnvbZRgFtr3aGUsgKvAT/SWr81\n0P6NFk46gxFWbGgyRE9yI9Bas+6zj3lt6dO8tvQZalZ/CsCkaTOZO+8EDpl33LA7W6755AN+sfBM\nAK649X4mTpmRtHLnoifuu5Mb/u+XfOeHl/GtH/w43cXBbFJUFTqp9rkMs7SD1pq69m7WN/jT9m3X\nbFZUep0FCaKuAAAgAElEQVSM9jmzrh/JSPF3h3fWqPR8Hj1OK2OLXZTmj2yH+5UbmmNzWhnUPTdf\nw+IbruZHv72aE884O2vCyWfAEVrrbUqpCuC/WutJe9jeRSycnKe1XjbQ/o0UTrpCsenPU9khKxNE\no1E+XfXOzkCybdMGTCYT0w6YHQskXz6W0spRSTnW5pq1/Px7Z9DR3sb/3vhPZsw6OCn7zTWfrHqH\ni886hQMOOZw/3PDPtK6YO9zhmSOtvr2bmkY/rSM0As5lMzOq0EVlgWNYI0RE3wLBMPXt3eTZLWmr\ngWrtDPH2+qa0HHswotEol5/7Ld5f/jrX3fcU+0zfNyvCSYvWuiB+XQHNO2732s4MrAQmADf2rl3p\nte1CYCFAdXX1ARs2bBh2+ZKlOxxhZU2zoap8R1I4FGLVyrd47fmnef2Ff9NUX4vFYmW/gw9l7rwT\nOPjIoyksKknJseu2beGyhWdSu2UTv7n2NmYfPj8lx8lWrc2NnHf60ZjNJm586D94CgrTUg6HNdZv\nIhkjIUZSkz/I+gZ/yr75+vJsjC50UZxnG9GmLDGyPtjcunOEpRHF3ifmY7ZYWPToUk46cGLKjpW0\ncKKUWgqU9/HQ5cDinmFEKdWste733U8pVQA8Blyktf5woMIZoeYkFImyckOzYTs1pZK/o53H7r6N\nx+65nbaWJhxOJwfO/TJz553A7MPn4c73jEg5Wpsb+cUPvsG6zz7m0v+7ni+f+JUROW6mi0Qi/Oq8\nb/P+8te59p4lTJo2c8TLsKPTYbnHkXHzbvTUGghR0+inPr6AYyLMJkW518Fonytts7SKkRUIhnlz\nrbEWBezt4/dWcPGCU5lzxHxe/c/TKQvLSZuETWs9bw8HqVVKVfRo1qkbYF8tSqmXgGOBAcNJuoUj\nUd7d2JJzwaTT7+eJ++7kobtuor21mTlHHM0xp53JrEOOwOF0jXh5vIVF/PnOf/HbCxdw1WUX0N7W\nwinf/J8RL0emue/Wa1nx+kv86LdXj3gw8bqsjCka+fb9VPG6rOzrKqC9K8SGxgC1bV1D/qBxWM2M\nKnRSVegc9LBnkR1cNgtVhU42NxlrUcCepsycxfcv/jW3XP1brrnmGi655JK0lifR2L4EWABcFf/5\nRO8NlFIlQCgeTJzAfOBPCR435SJRzfubW2jrzKxZVxPR1RngyQf+wYN33EBrcxMHHXYUZ1/ws7R8\n4+7NnZfPFbfexx8v+QE3/N8vaW9t4Vvn/kSqwvvx9msvcfdNf2X+yV/jhK+dNWLH9eXZGFfkptCd\nWfOnDFa+w8q0Ki/jS9zUNATY3tY54CSMBS4r1T4XJSMwOkQY17hiN9tauww9N9ZXzl7IR+8uZ+3a\ntekuSsJ9ToqAh4BqYAOxocRNSqlK4Hat9fFKqRnAYsAMmICHtNZ/GMz+09WsE41q3tvcQlOHcXtY\nJ1Owu4unHrqbB267nubGeg740hGcfeHPmLLvAeku2m4i4TB//fVPeH7Jw3zlrIX84NLfpbWDpxHV\nbd3MuafPp7isnOvvezrltV1KxYYDjy12ke+wpvRYRtMVirChMcDWls5dVqI1maDME2u68eTY30T0\nb219B+vr/ekuxh7paJj501I3v9SIrK2jtW4Ejurj/q3A8fHrq4D9EjnOSNJa88GW1pwIJsFgN/9+\n5F7uv+16Guu2M/OgQ/j1tbcx/YA56S5av8wWCz/9v+vI8xTw6N2LaG9r4ZI/XIPZIm33EHtO//fi\n7xMJh/jNtbenNJiYTFDhdTKmyJWzw14dVjOTyvMZW+xiU1OAuvZuyj0OqgqdSZ0wTmSHMT4XW5o7\nDT0zscVqjDCdm+8o/dBa89HWtqR0ejOyUDDIfx5/kHtv/Rv127cwbf/ZXHbVDcycPTfdRRsUk8nE\neZf9AU9BIYtvuBp/exuX/+UWWTAQuPXq3/HpB+/ym7/dkbLJ68xmxehCJ6N9g1tCPhfYLWYmlOYz\noVTWhBL9s8QXBfxse3u6i2J4Ek56+HR7O9tbjTvcK1GRcJjnn3yYe2++hu1bNrHPjP255H+vYf+D\nD8u4tnClFN8+72LyPF5uvOJyLj/3W/z+hsW43HnpLlravPjUoyy5/y6+uuAHHDr/hKTv3xZfrVU6\ndAoxfFUFTjY1BXJ2aorBknAS93ltO1uajduTOhGRSIQXn36Ue26+hq0b17P31H256NdXceDcL2dc\nKOnt1G+dQ763gKt/+UN+9t2vcsWt9+EtLEp3sUbchjWfce3vLmHa/rP53k9+ldR9u2xmqlOwMJoQ\nuchkUuxVmscHm1vTXRRDk3BCrJPSxsZAuouRdNFolJefXcLdN/2FTevXMH7SVH7/98UcfOTRGR9K\nejrqxK/icufzx0sWcvHZp3LVbQ8adlG7VAj4O/j9T76Hw+Xm8r/emrQ2Y5MJ9in3pGxhNCFyVZnH\nwQZnIKdGgw5VztfNbmj0G7739FBFo1Feee5JfnDakVzxs3Mxm8385trbufmR5/nSl4/Jyg+ag488\nmisX3U9D3XZ+/O2T2FyT/qFwI0FrzTW/uZgtNWu5/M+3UFza13yJwzOlwktlgTMr/1+ESLcJpbnb\nBD0YOR1ONjUFWF3bke5iJI3WmjdefJbzTp8fG7ERjXL5X27h1sde4tCjT8z6IbczZh3MX+76F8Hu\nLn5y9ims+cTw8/wl7PF77+DlZ5fw3R/+Iqkdmvcuy6fcKx2MhUgVn9uGLy875wNKhuz+tNqDba2d\nWdNjWmvNsleWcsHXj+G3F32Hrs4AP7/qBm57/L8ccdypWR9Kepo4ZQbX/PMJrFY7l3znND5YOeDi\n1xnr4/dWcOuff8ecI47mjHMuSNp+xxa7qC4a+ZmAhcg1E0vzkIrJvuXOp1YPde1dfLy1Ld3FSJjW\nmhWv/5cffvMEfnXet2lvaeaSP17LnU++yryTTsdszs1hnqPHTeBv9yyhqKSMy75/JsteWZruIiVd\nS1MDf7xkISXllVx6xfVJC6AVBQ4ZDivECMl3WCnzSA1lX3KyQ2xjR9DQCzANxqoVb3LXdVfx4TvL\nKCmv4ie/+wvzTzkDq02qCQFKK6q45p+P88sffJPfXvQdLr3i73z5hNOSeoxIJEJ7azOtzU20NjfS\n2txEW3MTba3NhILdRMIRIpEw4XCISCRCJByOXSKxSzgU+xmNRGLbxLff8Vg0Eiay87FwfB+xffk7\n2gkFg1x/31Pke3dbCHxYivPtTKkYmcUchRAxE0rzqGvvGnAZhFyTk+Ekk3266h3u+vufeOeNl/GV\nlHHh5Vdw3Onfwmazp7tohlPgK+bPd/2L31x4Nlf9/Hw62lo4+Rvf7XNbrTWdAX8sZDQ10toSCxot\nzY20NTftGkBammhpaqSjrYU9Lf9gMpkwW6yYzWbMFgsWiwWz2YLZEr+YLT0ei21nMluwWC3YHQ7M\n5vjvWCyYzObYbeuO37Nw6NEnMmHy9KT8rbwuK9OrvNL5VYgRFlsQ0pWVI0YTIeEkQ6z77GP+8fc/\n8eZLz+Ep8LHwZ7/lpK8vSMsqwUOhFFjNJmwWE3bLFz/tFjM2iwmb2YTdasJqNqVk2QB3Xj5X3BJb\nMPDvf/wFn3/0Pg6na2fQ2BE2WpsaCYX6PrbZYsFb4MPrK8Jb4GPc3pPxFhbhLfTFL8V4C314CnwU\n+IrI9xZgtdkzpq+Py25m5ugCzDKHiRBpMbbIzdaWTsIGXhRwpEk4MbhN69fwzxv/wsvPPoHTnceC\nCy/lK2cvTPtMqGaT2hk2bD3DRo8QYjPHrg/22/j0Ki9v1zQR6E7uzIl2h5Pf/u0OrvvDpTz32AO4\n8z07g0RpRRUTp0zfGTY8hT4KCovwFMaCSIGvCFdeftbWKNitJvavLpQZX4VII5vFxJgiN2vrsmf0\naKISWpU41VK1KvEn29oMPxvs9i0buefma3j+iYew2e2c+u3v87XvnIenoHBEy2E2KaqLXOTZLbuE\nDkuKPswCwTDL1zel7BtENBrNmBqNVLOYFbPG+sizy3cUIdItEtW8sbaB7lB6O5+YzYojJ5WmbP8j\nsiqxSL7G+lruu/VvPPPwPSiTiVO/9T3O/N5FFBaXjHhZClxWplR6RnTFWZfNwr6jCnh3U3NKOohJ\nMIkxmxQzRxdIMBHCIMwmxfiSPD7JgpGkyZBz70xbtmzhycf/TfXUA5M6m2aiWpsbefCOG3jivruI\nRMIce9o3+OYPfkxpRdWIl8VsUuxVksdoX3pmBy1029i7LJ9Pt2XHPDRGoxRMq/JS4JKRXUIYSaXX\nwYZGf9KbtjNRzoWTZ555hp9fuBCA0eMnMvPALzFz9lz2PehLaVkwzt/exiOLb+HRfy6iM+DnqJO+\nylnn/ZTK6rEjXhaIjdqYOsK1JX0ZVegiEIxID/YU2KfCQ0m+jO4SwmiUUkwozWPVJlkUMOfCyf/8\nz//gq57Ef5a+wLvLXmPpk4/w5IOLARg/aSozDzqEmbPnMmPWHNz5qZvzoTPg54l77+ShO2+kva2F\nQ48+kQUX/IwxEyal7Jh7YjLBXiV5VPtchun8ObE0D393mMYkj+DJZXuV5lFV4Ex3MYQQ/SjNd1Dg\nCtASyO1FAXO+Q2w4FOLzj97n3WWv8f7y1/no3bcJdndhMpmYOGUGM2fPZebsuUzd70CcLnfCxw52\nd/HUQ3dz/23X0dLYwEGHHcV3Lvo5E6fMSHjfw+VxxmpL3AbsfxCORHm7phl/dzjdRcl4o30uJpXL\n7K9CGF1LIMiKmua0HNsoHWJzPpz0Fuzu4pP3V/Le8td5b9nrfLJqJZFwGIvFyj4z9mfm7EOYedAh\nTN73AGz2wU87HA6F+M/jD3LPLddQv30rMw86hO/88DKm7ndgsk5ryEwmGF+cx5gi49SW9KUzGGF5\nTROhsEyhOFxlHgfTqjyGfp6FEF94f1ML9e3dI35cCSeDYIShxJ0BPx++s5z3l7/Oe8teY/XHq4hG\no9jsDqbud2CsZuWgQ9h76r5YrNbdfj8SifDSM49x941/YeumGvaZsT/f/dEv2H/Oock+rSHJd1iY\nWuXNmNEaLYEg72xMzQiebFfotrHf6AJMMsmaEBnD3x3mrXWNI77UilHCSWZ8MqWR0+XmwLlHcuDc\nIwHoaGvlg5XLeG/Za7y37DXuuu7KndtNnzVnZ1gZP2kqb7z4LIv//ic2rP2c8ZOm8r83/pPZh89P\n67dXkwnGFecx1uC1Jb0VuGzsU+7JigUbR1K+w8K+o7wSTITIMG67hQqvk60txp6TK1UknAxRnsfL\nwUcezcFHHg3EVodd9fabsbCy/HWWv/ICAFabnVCwm9HjJ/KraxZx6PwT0z7HRp7DwtRKD/mO3Wt4\nMkFlgRN/d5gNMoJnUFw2MzOrC1I2YZ4QIrXGl7ipbesiEjVuC0eqSDhJUIGvmMOOOYnDjjkJgIa6\n7Ts71u4zfT+OOvGrmC3p/TMrBWOL3Ywrcmf8N+gJpXkEgpG0tMVmEpvFxH7Vhdgt5nQXRQgxTA6r\nmdE+JzUNufeFLCfDSWm+PWXT1xeXlnPUiV/lqBO/mpL9D1Wew8KUSg+eDK0t6U0pxdRKDys2NNPR\nJSN4+mI2K2ZWF+C0STARItONKXKzpaUr5wYE5GR9b1GenXLv4EfaZKIdtSUHjfVlTTDZwWI2MXN0\nATZLTv777pHJBPuOKsi651yIXGU1mxhXlPg0FpkmZ9/d9y7Lx5qlH25uu4VZY31MKM3L+Gac/jis\nZvYdVYAslfMFpWBqpRefW6alFyKbjCp04rDmVk1oQm/tSimfUup5pdTq+M9+l8xVSpmVUu8qpZ5K\n5JjJYrOYmFSWXRNSxWpLXMwe58PrzP5vzl6XlSkV3nQXwzD2LsunzJPdNYJC5CKTSbFXaW7VniT6\nvfMy4AWt9UTghfjt/vwI+CTB4yVVuddBUV52fMt02c3MGuNjQml+1taW9KXc62BscW69aPsyttjN\naJ8r3cUQQqRIucdBniN3uokmGk5OARbHry8GTu1rI6XUKOAE4PYEj5d0kys8mDP4w1wpqC5yMWdc\nEV5X9teW9GVCaR6lntxdyK6ywMmE0rx0F0MIkUJKKcbn0BexRMNJmdZ6W/z6dqCsn+3+BlwKDNjd\nWCm1UCm1Qim1or6+PsHiDcxhNbNXSWa+sZvNigPGFLJ3WW7VlvRlaqWX/Bz6VrFDSb6dyRXZ1Twp\nhOhbcZ49a/tK9jbgWSqlliqlPuzjckrP7XRsHvzdZopRSp0I1GmtVw6mQFrrRVrrWVrrWSUlJYM9\nj4SM9jnxZGAfjSkVHgpc2dEslSizSbHv6ALs1tx44QIUuKxMq/Jm1Ey/QojhM5kU5TnSr2zAr5pa\n63n9PaaUqlVKVWittymlKoC6PjY7BDhZKXU84AA8Sql7tNbfHnapk0wpxeSKfN6uacqYtVtG+ZzS\n+bEXh9XMjFEFvLOhOatnVMxzWPC5bYwrdmd0k6QQYugqChxsasr+SdkS/Zq5BFgQv74AeKL3Blrr\nX2itR2mtxwJnAi8aKZjskO+wUu3LjPY8j9PK3qVSld8Xr9PKlEpPuouRVA6rmcoCJ9OqvBy6dzFz\nxhfFhsLLtPRC5ByPw5oTHWMTPcOrgIeUUucAG4AzAJRSlcDtWuvjE9z/iBpf7KaurYtAMJLuovTL\nYlbMkIXc9qjM48BfEmZdvT/dRRkWi1nhc9t2Xly27H8jEkIMXoXXwequjnQXI6USetfTWjcCR/Vx\n/1Zgt2Citf4v8N9EjplKJpNicoWHlRua012Ufk2r8ubcZDzDMb4ktgbP9taudBdlQGaTwuuy4nPZ\n8OXZyLdbpB+JEKJf5V4Ha+o60Nnbep2ba+vsSaHbRmWBMZepHlvspjgvd4fMDtWUCg+BYIS2zlC6\ni7ILpWJNc4WuWM1IgdMqNWFCiEGzW8wU5dlpyOIFUCWc9GFiWR6N/m66Q8bpHVvotrFXSWb0iTEK\nk0mx72gvy9c3pf25dNnNFLntFLpjoUT6iwghElHpdUg4yTVWc2xq+1WbW9NdFADsVhPTqjxS1T8M\ndouZmaMLWFEzsiN47FYThS4bRXk2Cl02aYoTQiTVjjlPsnW1Ygkn/Sj1OCjJ76I+zclUKZhe5cVu\nkQ+34cp3WJla5WHVpsTDptViwmpW2C0mbGYzVovCZjZhs5h2/rRbzDht8nwJIVJnx5wn2TqsWMLJ\nHkwqz6c5ECQcSV+vo71K8mSitSQozXewV2mEtXW79nA3mxQ2iwnrLgFDYTOb4/fHHt/xmNReCSGM\nIpvnPJFwsgcOq5kJpXl8uq09LccvybfLonZJNK7YjcdhwWIy7QwcMomZECJT7ZjzpKMrnO6iJJ30\nyhvAqEIXBWlYUM9pM2fdZGJGUJRnx+uy4rSZJZgIITJehTc7ZwqXcDIIkys8mEbwL2UywfRRXhnR\nIYQQYo/KvQ6ysbVZPv0GwW23MK545FYu3rssH48j8xYiFEIIMbJ2zHmSbSScDNIYnwu3PfVddMq9\nDkYVulJ+HCGEENmhMgubdiScDJLJpJhS4Ulp9ZnbbmFyhfQzEUIIMXjFeXYs5uxq25FwMgRelzVl\ntRrm+IJ+0klTCCHEUJhMivIsqz2RcDJEe5W4UzLb5+Ryz4g0GwkhhMg+FV5nuouQVBJOhshiNrFP\nRX5S9znK58y61CuEEGLkeJ3WrPqCK+FkGIrz7EkLEx6nlb1Lkxt2hBBC5J7Kguz5kivhZJj2LsvH\naknsz2eJ9zMxST8TIYQQCcqmOU8knAyTzWJiYmlic59MrfTKarVCCCGSIpvmPJFwkoDKAie+vOEt\nyje22EVJfnb8EwkhhDCGbJnzRMJJgiaXe4Y8/LfQbWWvkpGbcVYIIURuyJY5TyScJMhpMzO+ZPAr\nB9ssJqZVeVHZ0jAohBDCMLJlzhMJJ0lQ7XOR7xh4CJdSML3Ki90i/UyEEEKkRjbMeSLhJAmUUkyp\nHHhq+71K8ih0D6+PihBCCDEY2TDniYSTJMl3WBlT1P/U9sX5dsYWD775RwghhBiuTJ/zRMJJEo0r\nzsNl273JxmkzM7VSFvQTQggxMjJ9zhMJJ0lkNin26bWqsMkE00d5sZrlTy2EEGJkZPqcJ/KJmWQ+\nt43Kgi86I00szcfjsKaxREIIIXJRJs95klCPGaWUD3gQGAvUAGdorZv72K4GaAciQFhrPSuR4xrd\nxLI8Gjq68bltjPb13w9FCCGESJUdc56EIzrdRRmyRGtOLgNe0FpPBF6I3+7PkVrrmdkeTACs5thc\nJpMrpJ+JEEKI9MjkOU8SDSenAIvj1xcDpya4v6zhc9uGPHOsEEIIkUyZOudJouGkTGu9LX59O1DW\nz3YaWKqUWqmUWpjgMYUQQggxCJk658mAJVZKLQXK+3jo8p43tNZaKdVfw9ZcrfUWpVQp8LxS6lOt\n9Sv9HG8hsBCgurp6oOIJIYQQYg8qCxysru1IdzGGZMBworWe199jSqlapVSF1nqbUqoCqOtnH1vi\nP+uUUo8BBwF9hhOt9SJgEcCsWbMyrxe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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_vs_apcor(mags_u[AP_INDEX], mags_u[15], stellarity)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use magnitudes between 17 and 17.9." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### I.c g-band" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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DAOVwlBZk81/nHc0ry6r527wNB28gIiJyBGK5XXUXcCKwA8Dd5wHD41iTJLFP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\nIyIiIilJRY6IiIikpP8PSxUIsnJ+17IAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_ap_evol(mags_g, stellarity)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use the 16th (aperture number above begin to 0) aperture as target." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:131: RuntimeWarning: invalid value encountered in greater_equal\n", " mask &= (mag >= mag_min)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:133: RuntimeWarning: invalid value encountered in less_equal\n", " mask &= (mag <= mag_max)\n" ] }, { "data": { "image/png": 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K/P7QIOaSwUMZP6WCCVNnMH5KBSPHTpTWGJEQJg/JpigrLSbHVkot01pXdLedtLSIlNXh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\nSXd/OfCvku7748qZ669pecGZm8KZ6+HTEbGw10Z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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_vs_apcor(mags_g[AP_INDEX], mags_g[15], stellarity)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use magnitudes between 17.2 and 18." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### I.d z-band" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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1Te166IYSpQ+K8zoaAKAP9GTtp9NiZimSnpP0Ledcr9+Da2a3mFmpmZVWVVX1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\nCWsk8J67LwO2mdkJRV4bBNwKdAe6AJcGRck9wFB37w/MAn5U5Hu2uXt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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_ap_evol(mags_z, stellarity)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use the 16th (aperture number above begin to 0) aperture as target." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:131: RuntimeWarning: invalid value encountered in greater_equal\n", " mask &= (mag >= mag_min)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:133: RuntimeWarning: invalid value encountered in less_equal\n", " mask &= (mag <= mag_max)\n" ] }, { "data": { "image/png": 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OGMBJFO8YTog0qtnlxZriOrg8oae3bnZ5sa2iEaPzon/Buf6SUqLM4Yx2N8ImpcS3X3yC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\nYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_vs_apcor(mags_z[AP_INDEX], mags_z[15], stellarity)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use magnitudes between 16 and 17." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### I.e y-band" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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frsz4CF3/+Aot2VbldCQAwEmi1GDISo0N19M3zdDIlGh94y9FeraozOlIAICT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\nRNKCihoRERFJCypqREREJC38fyjhitj7jDfRAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_ap_evol(mags_y, stellarity)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use the 16th (aperture number above begin to 0) aperture as target." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:131: RuntimeWarning: invalid value encountered in greater_equal\n", " mask &= (mag >= mag_min)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:133: RuntimeWarning: invalid value encountered in less_equal\n", " mask &= (mag <= mag_max)\n" ] }, { "data": { "image/png": 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sXANsS29vA96aaSdjzDLgj4Hbszye5LF4wtI1FMl1M6Y0FDlev+Dgvt3T7gLa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\nons4Su0sR6SPLS53IL0m0Gq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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_vs_apcor(mags_y[AP_INDEX], mags_y[15], stellarity)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use mags between 16.5 and 17.5" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## II - Column selection" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING: UnitsWarning: '\"\"' did not parse as fits unit: Invalid character at col 0 [astropy.units.core]\n", "/opt/anaconda3/envs/herschelhelp_internal/lib/python3.6/site-packages/astropy/table/column.py:1096: MaskedArrayFutureWarning: setting an item on a masked array which has a shared mask will not copy the mask and also change the original mask array in the future.\n", "Check the NumPy 1.11 release notes for more information.\n", " ma.MaskedArray.__setitem__(self, index, value)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:131: RuntimeWarning: invalid value encountered in greater_equal\n", " mask &= (mag >= mag_min)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:133: RuntimeWarning: invalid value encountered in less_equal\n", " mask &= (mag <= mag_max)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for SpARCS band u:\n", "Correction: -0.21997451782226562\n", "Number of source used: 325\n", "RMS: 0.06430433467975358\n", "\n", "Aperture correction for SpARCS band g:\n", "Correction: -0.23264789581298828\n", "Number of source used: 487\n", "RMS: 0.06903040173673632\n", "\n", "Aperture correction for SpARCS band r:\n", "Correction: -0.2197418212890625\n", "Number of source used: 821\n", "RMS: 0.10640508916122655\n", "\n", "Aperture correction for SpARCS band z:\n", "Correction: -0.2187061309814453\n", "Number of source used: 1058\n", "RMS: 0.06586610521457599\n", "\n", "Aperture correction for SpARCS band y:\n", "Correction: -0.2814064025878906\n", "Number of source used: 521\n", "RMS: 0.055379872136121035\n", "\n" ] } ], "source": [ "# Index of the target aperture when doing aperture correction\n", "# (see 'sparcs_aperture_correction' notebook).\n", "AP_TARG_INDEX = {\n", " 'u': 15,\n", " 'g': 15,\n", " 'r': 15,\n", " 'z': 15,\n", " 'y': 15,\n", "}\n", "\n", "# Magnitude range for aperture correction (see 'sparcs_aperture_correction' notebook).\n", "APCOR_MAG_LIMITS = {\n", " 'u': (17., 17.9),\n", " 'g': (17., 17.9),\n", " 'r': (17.2, 18.),\n", " 'z': (16., 17.),\n", " 'y': (16.5, 17.5)\n", "}\n", "\n", "epoch = 2012\n", "\n", "sparcs_tmp = Table.read(\"../../dmu0/dmu0_SpARCS/data/SpARCS_HELP_XMM-LSS.fits\")[\n", " 'internal_id', 'ALPHA_J2000', 'DELTA_J2000', 'CLASS_STAR', \n", " 'MAG_APER_r', 'MAGERR_APER_r', 'MAG_AUTO_r', 'MAGERR_AUTO_r',\n", " 'MAG_APER_u', 'MAGERR_APER_u', 'MAG_AUTO_u', 'MAGERR_AUTO_u',\n", " 'MAG_APER_g', 'MAGERR_APER_g', 'MAG_AUTO_g', 'MAGERR_AUTO_g',\n", " 'MAG_APER_z', 'MAGERR_APER_z', 'MAG_AUTO_z', 'MAGERR_AUTO_z',\n", " 'MAG_APER_y', 'MAGERR_APER_y', 'MAG_AUTO_y', 'MAGERR_AUTO_y']\n", "\n", "\n", "# Clean table metadata\n", "sparcs_tmp.meta = None\n", "\n", "catalogue = Table(\n", " data = sparcs_tmp['internal_id', 'ALPHA_J2000', 'DELTA_J2000', 'CLASS_STAR'],\n", " names = ['sparcs_intid', 'sparcs_ra', 'sparcs_dec', 'sparcs_stellarity'])\n", "\n", "for band in ['u', 'g', 'r', 'z', 'y']:\n", " \n", " # Aperture magnitudes\n", " mag_aper = sparcs_tmp[\"MAG_APER_{}\".format(band)][:, AP_INDEX]\n", " mag_aper_target = sparcs_tmp[\"MAG_APER_{}\".format(band)][:, AP_TARG_INDEX[band]]\n", " magerr_aper = sparcs_tmp[\"MAGERR_APER_{}\".format(band)][:, AP_INDEX]\n", " \n", " # Set bad values (99.0) to NaN\n", " mask = (mag_aper > 90) | (mag_aper_target > 90) | (magerr_aper > 90)\n", " mag_aper[mask] = np.nan\n", " mag_aper_target[mask] = np.nan\n", " magerr_aper[mask] = np.nan\n", " \n", " # Aperture correction\n", " mag_diff, num, std = aperture_correction(\n", " mag_aper, mag_aper_target, catalogue['sparcs_stellarity'],\n", " mag_min=APCOR_MAG_LIMITS[band][0], mag_max=APCOR_MAG_LIMITS[band][1]\n", " )\n", " print(\"Aperture correction for SpARCS band {}:\".format(band))\n", " print(\"Correction: {}\".format(mag_diff))\n", " print(\"Number of source used: {}\".format(num))\n", " print(\"RMS: {}\".format(std))\n", " print(\"\")\n", " mag_aper += mag_diff\n", " \n", " catalogue.add_column(Column(\n", " data = mag_aper.data,\n", " name = \"m_ap_megacam_{}\".format(band)\n", " ))\n", " catalogue.add_column(Column(\n", " data = magerr_aper.data,\n", " name = \"merr_ap_megacam_{}\".format(band)\n", " ))\n", " \n", " # Computing the aperture flux columns\n", " flux_aper, fluxerr_aper = mag_to_flux(mag_aper.data, magerr_aper.data)\n", " \n", " catalogue.add_column(Column(\n", " data = flux_aper * 1.e6,\n", " name = \"f_ap_megacam_{}\".format(band)\n", " ))\n", " catalogue.add_column(Column(\n", " data = fluxerr_aper * 1.e6,\n", " name = \"ferr_ap_megacam_{}\".format(band)\n", " ))\n", " \n", " # Auto magnitudes\n", " mag_auto = sparcs_tmp[\"MAG_AUTO_{}\".format(band)]\n", " magerr_auto = sparcs_tmp[\"MAGERR_AUTO_{}\".format(band)]\n", " \n", " # Set bad values (99.0) to NaN\n", " mask = (mag_auto > 90) | (magerr_auto > 90)\n", " mag_auto[mask] = np.nan\n", " magerr_auto[mask] = np.nan \n", " \n", " catalogue.add_column(Column(\n", " data = mag_auto,\n", " name = \"m_megacam_{}\".format(band)\n", " ))\n", " catalogue.add_column(Column(\n", " data = magerr_auto,\n", " name = \"merr_megacam_{}\".format(band)\n", " ))\n", " \n", " # Computing the flux columns\n", " flux, fluxerr = mag_to_flux(mag_auto, magerr_auto)\n", " \n", " catalogue.add_column(Column(\n", " data = flux * 1.e6,\n", " name = \"f_megacam_{}\".format(band)\n", " ))\n", " catalogue.add_column(Column(\n", " data = fluxerr * 1.e6,\n", " name = \"ferr_megacam_{}\".format(band)\n", " ))\n", " \n", " # Band-flag column\n", " catalogue.add_column(Column(np.zeros(len(catalogue), dtype=bool), \n", " name=\"flag_megacam_{}\".format(band)\n", " ))\n", " \n", "# TODO: Set to True the flag columns for fluxes that should not be used for SED fitting.\n", "\n", "del sparcs_tmp" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/html": [ "<Table masked=True length=10>\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
idxsparcs_intidsparcs_rasparcs_decsparcs_stellaritym_ap_megacam_umerr_ap_megacam_uf_ap_megacam_uferr_ap_megacam_um_megacam_umerr_megacam_uf_megacam_uferr_megacam_uflag_megacam_um_ap_megacam_gmerr_ap_megacam_gf_ap_megacam_gferr_ap_megacam_gm_megacam_gmerr_megacam_gf_megacam_gferr_megacam_gflag_megacam_gm_ap_megacam_rmerr_ap_megacam_rf_ap_megacam_rferr_ap_megacam_rm_megacam_rmerr_megacam_rf_megacam_rferr_megacam_rflag_megacam_rm_ap_megacam_zmerr_ap_megacam_zf_ap_megacam_zferr_ap_megacam_zm_megacam_zmerr_megacam_zf_megacam_zferr_megacam_zflag_megacam_zm_ap_megacam_ymerr_ap_megacam_yf_ap_megacam_yferr_ap_megacam_ym_megacam_ymerr_megacam_yf_megacam_yferr_megacam_yflag_megacam_y
degdegmagmagmagmagmagmagmagmagmagmag
0133.5163489916-3.774445153420.982108nannannannannannannannanFalsenannannannannannannannanFalse21.45940.008622499.467510.075187321.69980.008516277.587080.0595113FalsenannannannannannannannanFalsenannannannannannannannanFalse
1233.5164313574-3.607826040190.754893nannannannannannannannanFalsenannannannannannannannanFalse23.94290.04086120.9612330.036175624.02110.03693170.8944540.0304252FalsenannannannannannannannanFalsenannannannannannannannanFalse
2333.516451123-3.536405194060.948239nannannannannannannannanFalsenannannannannannannannanFalse23.4750.02843891.479170.038744223.55930.02900411.368640.0365617FalsenannannannannannannannanFalsenannannannannannannannanFalse
3433.5164923954-3.802985252240.796541nannannannannannannannanFalsenannannannannannannannanFalse24.05310.05078090.8684840.040619824.35960.04349050.654890.0262324FalsenannannannannannannannanFalsenannannannannannannannanFalse
4533.5165013484-3.670289099340.954353nannannannannannannannanFalsenannannannannannannannanFalse23.48080.03237851.471210.043873923.69790.03046431.204540.0337978FalsenannannannannannannannanFalsenannannannannannannannanFalse
5633.5165249482-3.39290102880.659968nannannannannannannannanFalsenannannannannannannannanFalse24.67440.07232910.4900710.032647324.90830.05489680.3950720.0199756FalsenannannannannannannannanFalsenannannannannannannannanFalse
6733.5165384578-3.404277470410.837242nannannannannannannannanFalsenannannannannannannannanFalse24.09220.04603020.8377630.035517324.26950.03927040.7115730.0257371FalsenannannannannannannannanFalsenannannannannannannannanFalse
7833.5165723264-3.263240542380.707974nannannannannannannannanFalsenannannannannannannannanFalse23.91390.0393870.9872580.035814524.11060.0384150.8237160.0291443FalsenannannannannannannannanFalsenannannannannannannannanFalse
8933.5166030275-3.634263113770.969087nannannannannannannannanFalsenannannannannannannannanFalse22.76160.0197672.853350.051948422.98310.01957162.326880.0419445FalsenannannannannannannannanFalsenannannannannannannannanFalse
91033.5166238733-3.359313572810.777242nannannannannannannannanFalsenannannannannannannannanFalse23.57110.03255491.353860.040594423.70860.03864081.192740.0424491FalsenannannannannannannannanFalsenannannannannannannannanFalse
\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "catalogue[:10].show_in_notebook()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## II - Removal of duplicated sources" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We remove duplicated objects from the input catalogues." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/anaconda3/envs/herschelhelp_internal/lib/python3.6/site-packages/astropy/table/column.py:1096: MaskedArrayFutureWarning: setting an item on a masked array which has a shared mask will not copy the mask and also change the original mask array in the future.\n", "Check the NumPy 1.11 release notes for more information.\n", " ma.MaskedArray.__setitem__(self, index, value)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "The initial catalogue had 447768 sources.\n", "The cleaned catalogue has 447768 sources (0 removed).\n", "The cleaned catalogue has 0 sources flagged as having been cleaned\n" ] } ], "source": [ "SORT_COLS = ['merr_ap_megacam_r', 'merr_ap_megacam_u',\n", " 'merr_ap_megacam_g', 'merr_ap_megacam_z',\n", " 'merr_ap_megacam_y']\n", "FLAG_NAME = 'sparcs_flag_cleaned'\n", "\n", "nb_orig_sources = len(catalogue)\n", "\n", "catalogue = remove_duplicates(catalogue, RA_COL, DEC_COL, sort_col=SORT_COLS,flag_name=FLAG_NAME)\n", "\n", "nb_sources = len(catalogue)\n", "\n", "print(\"The initial catalogue had {} sources.\".format(nb_orig_sources))\n", "print(\"The cleaned catalogue has {} sources ({} removed).\".format(nb_sources, nb_orig_sources - nb_sources))\n", "print(\"The cleaned catalogue has {} sources flagged as having been cleaned\".format(np.sum(catalogue[FLAG_NAME])))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## III - Astrometry correction\n", "\n", "We match the astrometry to the Gaia one. We limit the Gaia catalogue to sources with a g band flux between the 30th and the 70th percentile. Some quick tests show that this give the lower dispersion in the results." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": true }, "outputs": [], "source": [ "gaia = Table.read(\"../../dmu0/dmu0_GAIA/data/GAIA_XMM-LSS.fits\")\n", "gaia_coords = SkyCoord(gaia['ra'], gaia['dec'])" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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LwphPcBiwW7+jvM8mSVcLJXyh0gHAohJHwVEhpQKhTJVFtz6drpvncjhEmAiU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\nfQq33nrrRvfzvNCwnU+eVwYOHgDhRrvWVCHKaR6JzMxzebIAp/ndbrM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9AAAg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\nQyGqvggwxnDVVVchlUrhlFNOqUrWcrF9+3YA3Pi6ESb79u3bC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2+DSrm7ijebtiHp+mDHwuKwN0MEJ1e3KyVxrFCFdNc287u6jYSrAyGuGmqui0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Rj5nttdOGhJxb62RHJyFbO5K+p3J1Ygl8M+fA6z3xR3u5Vj9PIPx3H0wrcIH4QorUmefgzw2LVl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kOmqhhjICsusr+FyMffQ8uedekNTK12+TTsyJMpFgmps7UuyMEsktMFLEZqdOypd9qSj7oTH4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+ypK5P3YJSC2DtwBnICeondUigJlArInn+KQmmtLtkoxTz0tUscreRz3BthIYKAeAzA7asJ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bmzIIlOADTntoy0V8V01GCD/IxOcnLILvX0OnYxh32CR5X4rPyGZSJkwgnGnnxyAq+WE3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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_astcor_diag_plot(catalogue[RA_COL], catalogue[DEC_COL], \n", " gaia_coords.ra, gaia_coords.dec)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "RA correction: 0.1243786283438908 arcsec\n", "Dec correction: -0.10356365148096458 arcsec\n" ] } ], "source": [ "delta_ra, delta_dec = astrometric_correction(\n", " SkyCoord(catalogue[RA_COL], catalogue[DEC_COL]),\n", " gaia_coords\n", ")\n", "\n", "print(\"RA correction: {}\".format(delta_ra))\n", "print(\"Dec correction: {}\".format(delta_dec))" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": true }, "outputs": [], "source": [ "catalogue[RA_COL] += delta_ra.to(u.deg)\n", "catalogue[DEC_COL] += delta_dec.to(u.deg)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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Rxh0K0u4k/6iswRnmDBgxJ8VKrhF/k0nnyQqekGNM1+vfYuCq/nnr9V+vrylO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\nQSx0ZwZg5JA+y12Ux1a7MSexNY+L2M4L/zLKutP575R7taj8Tdvt5J/Xt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A6Y/wlRhZX1Hn8F5nzHttHV1qaPlrNMbkOb5V18g7SZSsNxgWnSKV+6V5pwS/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iPgcN2bAUQsFyj0oIAN/vYQ6HVfuuQA/GwrONxUr5RNLivXQiqra/L0UYxPe72HbF404i9IN9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Skmgkg3AjsY4puWqyyllZdaBZFDokgTsLrWeXJjwfrGcI7QbeO8V8SxFzjcg6LU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\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qyjjCpyliICK0eu4qPLLqR84WqwdNmhpevFLEtDWEfh85m2hPb7rQl2xtAII9H9Hc3Ycj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\nNsbo5DSl3Ag5b7HLrBp2CDIJaEnFzeJ7CXKymoZOZzuuac+ZTSzqtWY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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_astcor_diag_plot(catalogue[RA_COL], catalogue[DEC_COL], \n", " gaia_coords.ra, gaia_coords.dec)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## IV - Flagging Gaia objects" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": true }, "outputs": [], "source": [ "catalogue.add_column(\n", " gaia_flag_column(SkyCoord(catalogue[RA_COL], catalogue[DEC_COL]), epoch, gaia)\n", ")" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "6126 sources flagged.\n" ] } ], "source": [ "GAIA_FLAG_NAME = \"sparcs_flag_gaia\"\n", "\n", "catalogue['flag_gaia'].name = GAIA_FLAG_NAME\n", "print(\"{} sources flagged.\".format(np.sum(catalogue[GAIA_FLAG_NAME] > 0)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## V - Saving to disk" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": true }, "outputs": [], "source": [ "#We rename megacam to sparcs so that when we merge all the\n", "#megacam fluxes from different surveys we have access to the right column name\n", "for col in catalogue.colnames:\n", " if 'megacam' in col:\n", " catalogue[col].name = col.replace('megacam', 'sparcs')" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": true }, "outputs": [], "source": [ "catalogue.write(\"{}/SpARCS.fits\".format(OUT_DIR), overwrite=True)" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python (herschelhelp_internal)", "language": "python", "name": "helpint" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.1" } }, "nbformat": 4, "nbformat_minor": 1 }