{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# HATLAS-SGP 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 17:43:55.277747\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_HATLAS-SGP.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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YB2MCQCoj1CBlndyzvSbffIYuGNJZ97y+VJ/73/e1cdcBv8sCAMQJoQYprTA7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\nlWo3+4wd7WgESVLHsKgZoSrVGmccOYPxYxyNIEnqDKUUNRH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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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"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: -0.43956947326660156\n", "Number of source used: 8336\n", "RMS: 0.12080908091581184\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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eRfrLdRN12/mj9f7ybTrzrjf1xIerGLUBABBq0Pn4fKZrJg/RSzeepCP6l+jb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\n8iXOGT+K+WeOzTqKmZnZkHJR00Q6O4O2QpEVC6cgeTyNmZk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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: -0.37449073791503906\n", "Number of source used: 5338\n", "RMS: 0.09751122649201878\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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hAMAxo9TAMxPKivStj03RvFW1evD1DV7HAQD0cZQaeOqzp43ROZNC+u6zy7Vm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\nA4pFTn/nuzMimiOi+Zhjjknxx7Is5PKen8bMzEo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WYP6sKUwe15h1FDMzs2FzUVOn9h/q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\n", "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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zL2bycae120/j6FOms/73X3n1n3PpP2Q3Dj3qhB6qumc1eAJ8l19NjsvBgFQH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\nOqOUMgPLgCKt9VG7ensRHQakOSir9+C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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: -0.2837257385253906\n", "Number of source used: 4319\n", "RMS: 0.058088824540272574\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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uR0REJC0HG5MTcffRwVaWso129z7H0qThCuBzZvYCMBrob6BHvbvPAy4ArjKz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\niFgjaRywtp3LzgYaImJd8j0/Bk4Fvt/OZ90K3ApQW1v7ZwW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"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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RsNrsPZ6/9sxJ/Oje21F76gR++JvHMXP+jZK8LyJevsOEEQV2GHSUMkj6LwpO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\nCCH9jajghHPexDmfxTkfFp/+aY4/fpZ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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: -0.2564411163330078\n", "Number of source used: 8152\n", "RMS: 0.051805109263165755\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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rbzz4mtbuadZFpw7Vt945WaNK87yOBQDwgJktcc7VHO887iiMtDSrslSPXDNH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\nKpW5+V4vcGxxOfUGmflE9bHUaezTSJKqNuxQExF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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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DX1p4AmaLJdHhiTBbhhGH1UyuzUJOpomsDJPMkBJpQd6F4sRoUOxTkcsHjW7a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\nsn+1k6KczJRIpIQQqS/a5GQ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IkqSm2JxIkqSm2JxIkqSm/AKIBwK1i1i/hQAA\nAABJRU5ErkJggg==\n", "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": [ "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: -0.2907543182373047\n", "Number of source used: 11219\n", "RMS: 0.043677835648857084\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_HATLAS-SGP.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", "
idxdes_iddes_rades_decdes_stellaritym_decam_gmerr_decam_gm_ap_decam_gmerr_ap_decam_gm_decam_rmerr_decam_rm_ap_decam_rmerr_ap_decam_rm_decam_imerr_decam_im_ap_decam_imerr_ap_decam_im_decam_zmerr_decam_zm_ap_decam_zmerr_ap_decam_zm_decam_ymerr_decam_ym_ap_decam_ymerr_ap_decam_yf_decam_gferr_decam_gflag_decam_gf_ap_decam_gferr_ap_decam_gf_decam_rferr_decam_rflag_decam_rf_ap_decam_rferr_ap_decam_rf_decam_iferr_decam_iflag_decam_if_ap_decam_iferr_ap_decam_if_decam_zferr_decam_zflag_decam_zf_ap_decam_zferr_ap_decam_zf_decam_yferr_decam_yflag_decam_yf_ap_decam_yferr_ap_decam_y
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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 10611105 sources.\n", "The cleaned catalogue has 10610962 sources (143 removed).\n", "The cleaned catalogue has 143 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_SGP.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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0JhZyAcZZUzLuYyVlrpQQUkJKGdteM3RfF2+KkbbgQscaF6TCnal3Mf5Oyhii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bmvc/+clPYnNzEwDwkY98BG9+85vxute9Dq9//euHNG95y1sQQsBf//Vf46ab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3vdbEFf/dVfjQ996EO3hMyFCxfwIz/yI/jKr/xKrFYr3HXXXXjta1+Lhx56CI899hhyzrjjjjvw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\nWb9+PcuWLYu2Pffcc/zhH/4hP/nJT5g9ezaf/exnOfroo7n77rsPuv0xM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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, near_ra0=True)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "RA correction: 0.1809856744952043 arcsec\n", "Dec correction: -0.11979971748701246 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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R8/DmhDm9o3ccNDFy/tNdkUFZ6hOUCyywkPQ6UcbFhtPm1VjDcbhl1ZJ60yV6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ZIJQ4enL9WIDeHL0riISckZkikrNfsROT4mg2O/z+m/wB36YEGH6sz46ubmow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iTguQOkrjnqBgnvufA9gwREHT/S01FTUzORuNbdCaM3uGiXCeTp87OChmSibmBKZg2o2JLE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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, near_ra0=True)" ] }, { "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": [ "350801 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 }