{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# ELAIS-S1 master catalogue\n", "## Preparation of DES data\n", "\n", "Blanco DES catalogue: the catalogue comes from `dmu0_DES`.\n", "\n", "In the catalogue, we keep:\n", "\n", "- The identifier (it's unique in the catalogue);\n", "- The position;\n", "- The G band stellarity;\n", "- The magnitude for each band.\n", "- The auto/kron magnitudes/fluxes to be used as total magnitude.\n", "- The aperture magnitudes, which are used to compute a corrected 2 arcsec aperture magnitude.\n", "\n", "We don't know when the maps have been observed. We will take the final observation date as 2017." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "This notebook was run with herschelhelp_internal version: \n", "0246c5d (Thu Jan 25 17:01:47 2018 +0000) [with local modifications]\n", "This notebook was executed on: \n", "2018-02-21 16:16:42.634105\n" ] } ], "source": [ "from herschelhelp_internal import git_version\n", "print(\"This notebook was run with herschelhelp_internal version: \\n{}\".format(git_version()))\n", "import datetime\n", "print(\"This notebook was executed on: \\n{}\".format(datetime.datetime.now()))" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "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, \\\n", " nb_plot_mag_ap_evol, nb_plot_mag_vs_apcor \n", "from herschelhelp_internal.utils import astrometric_correction, mag_to_flux, flux_to_mag, aperture_correction" ] }, { "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 = \"des_ra\"\n", "DEC_COL = \"des_dec\"" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Pristine HSC catalogue\n", "orig_des = Table.read(\"../../dmu0/dmu0_DES/data/DES-DR1_ELAIS-S1.fits\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1 - 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", "\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", "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": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "bands = [\"g\", \"r\", \"i\", \"z\", \"y\"]\n", "apertures = [\"1\", \"2\", \"3\", \"4\", \"5\", \"6\", \"7\", \"8\", \"9\", \"10\", \"11\"] #Removed \"40\" and \"235\" because they lack errors\n", "\n", "magnitudes = {}\n", "stellarities = {}\n", "\n", "for band in bands:\n", " magnitudes[band] = np.array(\n", " [orig_des[\"MAG_APER_{}_{}\".format(aperture, band.upper())] for aperture in apertures]\n", " )\n", "\n", " stellarities[band] = np.array(orig_des[\"CLASS_STAR_{}\".format(band.upper())])\n", " \n", " # Some sources have an infinite magnitude\n", " mask = np.isclose(magnitudes[band], 99.)\n", " magnitudes[band][mask] = np.nan\n", "\n", " \n", "mag_corr = {}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### I.a - g band" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [ { "data": { "image/png": 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AJBaPMzUBSbc55yokTZN0g5lVSPqqpOecc2MkPRf5fDBnOucmO+eqYh8X8faV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\n7ld2DlxetmmX6pvr1doRfN/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kk0cN8DoSALwPpQbAIf1z8Wbd9shiDSzI0u+vPkGjSnK9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\n1Tcwe+IwhvZ3K7eZmZWfFi8UThavvDMiLgfmAKuAXDJ6YjW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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "nb_plot_mag_ap_evol(magnitudes['g'], stellarities['g'], labels=apertures)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use aperture 10 as target." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true }, "outputs": [ { "data": { "image/png": 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0lOKhpUzoRfnmpsZwglMZSWg6JTfVleXUVFWwa/sW1q96g7rqqgOr+Hbm8Xop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\nv7iMEWPG8aPfPcysk8+Id6g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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_vs_apcor(orig_des['MAG_APER_4_G'], orig_des['MAG_APER_10_G'], stellarities['g'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "We will use magnitudes between 15.0 and 16.0" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for g band:\n", "Correction: -0.525202751159668\n", "Number of source used: 620\n", "RMS: 0.13607589224056446\n" ] } ], "source": [ "# Aperture correction\n", "mag_corr['g'], num, std = aperture_correction(\n", " orig_des['MAG_APER_4_G'], orig_des['MAG_APER_10_G'], \n", " stellarities['g'],\n", " mag_min=15.0, mag_max=16.0)\n", "print(\"Aperture correction for g band:\")\n", "print(\"Correction: {}\".format(mag_corr['g']))\n", "print(\"Number of source used: {}\".format(num))\n", "print(\"RMS: {}\".format(std))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### I.b - r band" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true }, "outputs": [ { "data": { "image/png": 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s2LTs+WZ2oaS7JJ1rZqsknRNbl5kNNrPnY8eWSHrNzBZIekfSc865F5OQGUlw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\n8TRmZlaxXNQYAI25PAP61jF38vCso5iZmfWIixoDCuNpzp8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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "nb_plot_mag_ap_evol(magnitudes['r'], stellarities['r'], labels=apertures)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use aperture 10 as target." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "nb_plot_mag_vs_apcor(orig_des['MAG_APER_4_R'], orig_des['MAG_APER_10_R'], stellarities['r'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use magnitudes between 15.0 and 16.0." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for r band:\n", "Correction: -0.32874298095703125\n", "Number of source used: 384\n", "RMS: 0.08128685867476818\n" ] } ], "source": [ "# Aperture correction\n", "mag_corr['r'], num, std = aperture_correction(\n", " orig_des['MAG_APER_4_R'], orig_des['MAG_APER_10_R'], \n", " stellarities['r'],\n", " mag_min=15.0, mag_max=16.0)\n", "print(\"Aperture correction for r band:\")\n", "print(\"Correction: {}\".format(mag_corr['r']))\n", "print(\"Number of source used: {}\".format(num))\n", "print(\"RMS: {}\".format(std))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### I.b - i band" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": true }, "outputs": [ { "data": { "image/png": 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HPVYNkdSVqGA4tMyAT6dPKGawMAAAvcRypGaLpHmS2iTN7/F4WtIHExcNh1NdUaq6hhZt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\nY2Zm9cdFTQNpLpZoGiKWzJmcdxQzM7NB56KmgRSKJd4wYwL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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_ap_evol(magnitudes['i'], stellarities['i'], labels=apertures)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use aperture 10 as target." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": true }, "outputs": [ { "data": { "image/png": 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gCQQZG3A2cO9gjx/JOjo6ePzxx5k2bRqjR48e1jm65pqpqKiQMBNCXp+fLTFe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\ni4SZEaysrIzW1laqqqqiXZS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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_vs_apcor(orig_des['MAG_APER_4_I'], orig_des['MAG_APER_10_I'], stellarities['i'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use magnitudes between 15.0 and 16.0." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for i band:\n", "Correction: -0.2553844451904297\n", "Number of source used: 282\n", "RMS: 0.04623693846377647\n" ] } ], "source": [ "# Aperture correction\n", "mag_corr['i'], num, std = aperture_correction(\n", " orig_des['MAG_APER_4_I'], orig_des['MAG_APER_10_I'], \n", " stellarities['i'],\n", " mag_min=15.0, mag_max=16.0)\n", "print(\"Aperture correction for i band:\")\n", "print(\"Correction: {}\".format(mag_corr['i']))\n", "print(\"Number of source used: {}\".format(num))\n", "print(\"RMS: {}\".format(std))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### I.b - z band" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": true }, "outputs": [ { "data": { "image/png": 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nW/KwVB4r4u73n8GK2kZ+sOztsMsRERE5KcebePwgsBI4B/hS8HTVl91928n+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\nDqfGZz+OJKlRlZ1f+GvgfOBJYCzwaeBv6hVKzaOto4uxo0Z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ImFmff1RJVXCIVlJVzgeu\nKJ5fV7z+MXBfZnbAa1vFvwNYT60g+Y/iyInRwC97vNf3S2a4pUch9G7gqIj4UPF6AnAw0FnyvSVV\nzCJH0pCLiEnAKcCREZHACCCBW4vHnhII4M5ixKU3r+7g4zbz+qj1mB38XACfy8w7dv5PIKkZOF0l\nqQofAv4lM/fPzAMyczq1EZPfAk6IiJlFL85HqDUmtwFvj4i3wGunpb91O++9Btijx+vFwLapsA/u\nINMdwO9GxKjiM95aHKApqUlZ5EiqwvnATW+4dkNx/X7gr4FF1AqfmzJzObVVU9dGxMPUpqq2t+z8\nO8Dfb2s8Bi4FroiIecCWHWS6CngMmB8RC4F/wNFuqal5CrmkhhER7wT+Z2aeUXUWSc3PkRxJktSS\nHMmRJEktyZEcSZLUkixyJElSS7LIkSRJLckiR5IktSSLHEmS1JIsciRJUkv6/2PGAykaUS//AAAA\nAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "nb_plot_mag_ap_evol(magnitudes['z'], stellarities['z'], labels=apertures)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use aperture 57 as target." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": true }, "outputs": [ { "data": { "image/png": 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UHx/gsqtvYObsuU6XKZLWIpEwLQ1v0bhl84CAkvwZCgb6jyurqKRuzjyWvfsY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\nS5s3tMfHrbW0NGzt7+ZZv+q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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "nb_plot_mag_vs_apcor(orig_des['MAG_APER_4_Z'], orig_des['MAG_APER_10_Z'], stellarities['z'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use magnitudes between 15.0 and 16.0." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for z band:\n", "Correction: -0.25116443634033203\n", "Number of source used: 526\n", "RMS: 0.06914383864772361\n" ] } ], "source": [ "# Aperture correction\n", "mag_corr['z'], num, std = aperture_correction(\n", " orig_des['MAG_APER_4_Z'], orig_des['MAG_APER_10_Z'], \n", " stellarities['z'],\n", " mag_min=15.0, mag_max=16.0)\n", "print(\"Aperture correction for z band:\")\n", "print(\"Correction: {}\".format(mag_corr['z']))\n", "print(\"Number of source used: {}\".format(num))\n", "print(\"RMS: {}\".format(std))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### I.b - y band" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": true }, "outputs": [ { "data": { "image/png": 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i57S0qaE5pJZQ+Ni/TJH1QwcLUU5G4APF57CClHF4UfrA8YyAstP8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\nm4uaOtbS2sbFC6cxutH/GpiZWfXzb7M6tfvQMfJ7D7ufxsz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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_ap_evol(magnitudes['y'], stellarities['y'], labels=apertures)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use aperture 10 as target." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": true }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "nb_plot_mag_vs_apcor(orig_des['MAG_APER_4_Y'], orig_des['MAG_APER_10_Y'], stellarities['y'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "We use magnitudes between 15.0 and 16.0." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for y band:\n", "Correction: -0.4382658004760742\n", "Number of source used: 438\n", "RMS: 0.07197219185453677\n" ] } ], "source": [ "# Aperture correction\n", "mag_corr['y'], num, std = aperture_correction(\n", " orig_des['MAG_APER_4_Y'], orig_des['MAG_APER_10_Y'], \n", " stellarities['y'],\n", " mag_min=15.0, mag_max=16.0)\n", "print(\"Aperture correction for y band:\")\n", "print(\"Correction: {}\".format(mag_corr['y']))\n", "print(\"Number of source used: {}\".format(num))\n", "print(\"RMS: {}\".format(std))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2 - Column selection" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": true }, "outputs": [], "source": [ "\n", "imported_columns = OrderedDict({\n", " 'COADD_OBJECT_ID': \"des_id\",\n", " 'RA': \"des_ra\",\n", " 'DEC': \"des_dec\",\n", " 'CLASS_STAR_G': \"des_stellarity\",\n", " \n", " 'MAG_AUTO_G': \"m_decam_g\", \n", " 'MAGERR_AUTO_G': \"merr_decam_g\", \n", " 'MAG_APER_4_G': \"m_ap_decam_g\", \n", " 'MAGERR_APER_4_G': \"merr_ap_decam_g\",\n", " \n", " 'MAG_AUTO_R': \"m_decam_r\", \n", " 'MAGERR_AUTO_R': \"merr_decam_r\", \n", " 'MAG_APER_4_R': \"m_ap_decam_r\", \n", " 'MAGERR_APER_4_R': \"merr_ap_decam_r\",\n", " \n", " 'MAG_AUTO_I': \"m_decam_i\", \n", " 'MAGERR_AUTO_I': \"merr_decam_i\", \n", " 'MAG_APER_4_I': \"m_ap_decam_i\", \n", " 'MAGERR_APER_4_I': \"merr_ap_decam_i\",\n", " \n", " 'MAG_AUTO_Z': \"m_decam_z\", \n", " 'MAGERR_AUTO_Z': \"merr_decam_z\", \n", " 'MAG_APER_4_Z': \"m_ap_decam_z\", \n", " 'MAGERR_APER_4_Z': \"merr_ap_decam_z\",\n", " \n", " 'MAG_AUTO_Y': \"m_decam_y\", \n", " 'MAGERR_AUTO_Y': \"merr_decam_y\", \n", " 'MAG_APER_4_Y': \"m_ap_decam_y\", \n", " 'MAGERR_APER_4_Y': \"merr_ap_decam_y\",\n", "\n", " })\n", "\n", "\n", "catalogue = Table.read(\"../../dmu0/dmu0_DES/data/DES-DR1_ELAIS-S1.fits\")[list(imported_columns)]\n", "for column in imported_columns:\n", " catalogue[column].name = imported_columns[column]\n", "\n", "epoch = 2017\n", "\n", "# Clean table metadata\n", "catalogue.meta = None" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Aperture correction\n", "for band in bands:\n", " catalogue[\"m_ap_decam_{}\".format(band)] += mag_corr[band]" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": true }, "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" ] } ], "source": [ "# Adding flux and band-flag columns\n", "for col in catalogue.colnames:\n", "\n", " \n", " if col.startswith('m_'):\n", " \n", " errcol = \"merr{}\".format(col[1:])\n", " \n", " # Some objects have -99.0 values\n", " mask = (catalogue[col] > 50.) | (catalogue[col] < 0.)\n", " catalogue[col][mask] = np.nan\n", " catalogue[errcol][mask] = np.nan\n", " \n", " flux, error = mag_to_flux(np.array(catalogue[col]), np.array(catalogue[errcol]))\n", " \n", " # Fluxes are added in µJy\n", " catalogue.add_column(Column(flux * 1.e6, name=\"f{}\".format(col[1:])))\n", " catalogue.add_column(Column(error * 1.e6, name=\"f{}\".format(errcol[1:])))\n", " \n", " # Band-flag column\n", " if 'ap' not in col:\n", " catalogue.add_column(Column(np.zeros(len(catalogue), dtype=bool), name=\"flag{}\".format(col[1:])))\n", " \n", "# TODO: Set to True the flag columns for fluxes that should not be used for SED fitting. \n", " \n" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": true }, "outputs": [ { "data": { "text/html": [ "<Table masked=True length=10>\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
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\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 24, "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": 25, "metadata": { "collapsed": true }, "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 600224 sources.\n", "The cleaned catalogue has 600219 sources (5 removed).\n", "The cleaned catalogue has 5 sources flagged as having been cleaned\n" ] } ], "source": [ "SORT_COLS = ['merr_ap_decam_g', 'merr_ap_decam_r','merr_ap_decam_i','merr_ap_decam_z','merr_ap_decam_y']\n", "FLAG_NAME = 'des_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": 26, "metadata": { "collapsed": true }, "outputs": [], "source": [ "gaia = Table.read(\"../../dmu0/dmu0_GAIA/data/GAIA_ELAIS-S1.fits\")\n", "gaia_coords = SkyCoord(gaia['ra'], gaia['dec'])" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": true }, "outputs": [ { "data": { "image/png": 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G9UYNbtPlpNSgK5PyzfzzGIPBkrdpLy9kMDiuOjfYjuD99d86DJjqVel7B481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ByWZHTBN0kOFGmVlWT0b20/OOpg8Yer6a19Xcf7jWr4osN8hmZ+OARXBNS5yM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RT90PSiWbqLa00EDLLWjkeY5loHeQS8kTX09u/0WeSZkiYKhRdB82hO/+AUv2tIm72mgSS9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\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rXMLw6U+Q/tP3MDdX2hxWo+hviDo5VxLtetOLXGksIY0qqGwlwedqgSlyyFKGN0/J/v47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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": 28, "metadata": { "collapsed": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "RA correction: 0.1966126211662811 arcsec\n", "Dec correction: -0.09022019166309292 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": 29, "metadata": { "collapsed": true }, "outputs": [], "source": [ "catalogue[RA_COL] = catalogue[RA_COL] + delta_ra.to(u.deg)\n", "catalogue[DEC_COL] = catalogue[DEC_COL] + delta_dec.to(u.deg)" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": true }, "outputs": [], "source": [ "catalogue[RA_COL].unit = u.deg\n", "catalogue[DEC_COL].unit = u.deg" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": true }, "outputs": [ { "data": { "image/png": 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UiPYgO4O+DillVtkdVHLh+GdbDAxD4Ii+nZ5BDDyyMmac84yKRdu2KdwxgCnk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\nIwiCIEIecmYEQRBEyPP/AdocXxxLY4grAAAAAElFTkSuQmCC\n", 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xMWHyKSEVlCYi7RVi6jCxQ0xLHQUfHIJHMohdT95tHP+AaRryuiEeXMdXI/xk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nqvS/LdC7TimXBwibAe6fEU0Gm/e0tW6Apxfw6kOlcCZLpOYpDMSThWqUjNWdfgQ2W8Waj6ot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feYba/KCRt0c15V+vcHM6CAbYBNpxvMkGBdk0RIQbAZeZRlmZ3j0O6pHzD7nvLdC0bvMSmx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\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DbUq01agyzU6HEbISOFOMMAmimeVsl2UuEpeNfP6neydEVJrEWWNmxPZ6Jfe0ETGiVwPH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\n7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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": 32, "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": 33, "metadata": { "collapsed": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "24303 sources flagged.\n" ] } ], "source": [ "GAIA_FLAG_NAME = \"des_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 - Flagging objects near bright stars" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# VI - Saving to disk" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": true }, "outputs": [], "source": [ "catalogue.write(\"{}/DES.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 }