{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# SSDF 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 16:18:33.821790\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_SSDF.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": "iVBORw0KGgoAAAANSUhEUgAAAjUAAAK9CAYAAADc9p0tAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nzMzMrCr8f4PLgHAeyVyzAAAAAElFTkSuQmCC\n", "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": "iVBORw0KGgoAAAANSUhEUgAAAicAAAD8CAYAAACsNgQYAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRCSu/H/1+S2VDvRdNgAAAABJRU5ErkJggg==\n", "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: -0.5084390640258789\n", "Number of source used: 11527\n", "RMS: 0.13857766793996795\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": "iVBORw0KGgoAAAANSUhEUgAAAjUAAAK9CAYAAADc9p0tAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nVhVc1JiZmVlVcFFjZmZmVeH/AyDCvWiTaNzkAAAAAElFTkSuQmCC\n", "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": "iVBORw0KGgoAAAANSUhEUgAAAicAAAD8CAYAAACsNgQYAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRCSl/H/sJojLTYykbAAAAABJRU5ErkJggg==\n", "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: -0.3870668411254883\n", "Number of source used: 6262\n", "RMS: 0.10930435440532538\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": "iVBORw0KGgoAAAANSUhEUgAAAjUAAAK9CAYAAADc9p0tAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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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": "iVBORw0KGgoAAAANSUhEUgAAAjIAAAD8CAYAAABtsU60AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIiIiOUtBRkRERHLW/wfv+9Y2zHdu6wAAAABJRU5ErkJggg==\n", "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: -0.3250293731689453\n", "Number of source used: 4829\n", "RMS: 0.07326213149972925\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": "iVBORw0KGgoAAAANSUhEUgAAAjUAAAK9CAYAAADc9p0tAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nBhU0lc7hAAAAAElFTkSuQmCC\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": "iVBORw0KGgoAAAANSUhEUgAAAi0AAAD8CAYAAAC7FJTRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ni4iIiMQFhRYRERGJC/8PyvtHREE2VnoAAAAASUVORK5CYII=\n", "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: -0.26555299758911133\n", "Number of source used: 9874\n", "RMS: 0.055136808300606646\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": "iVBORw0KGgoAAAANSUhEUgAAAjUAAAK9CAYAAADc9p0tAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQmCC\n", "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": "iVBORw0KGgoAAAANSUhEUgAAAiwAAAD8CAYAAABU1v/vAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIPYILAAAIPYILAAAIPYILAAAIPb+P6ykFhpsDi0MAAAAAElFTkSuQmCC\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": [ "\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: -0.35900163650512695\n", "Number of source used: 7472\n", "RMS: 0.06888716175884298\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_SSDF.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
0123745523348.658766-51.299340.019635869190123.8303680420.14580872654923.82197475430.096942469477723.59319686890.14014747738823.69544696810.092983216047323.21147727970.16282241046423.48309135440.1189310699723.44438934330.4197209179422.98212385180.14778035879123.39300537111.1468827724522.70266294480.3558495342731.06623462860.143189766278False1.074509100970.09594003153571.326542756260.171230930795False1.207316713320.1033954567421.885424247970.282747613516False1.468126433770.1608179287511.52140298040.588139782659False2.328897953710.3169880249731.595136495831.68497150482False3.01255387310.987363125607
1123742696348.687463-51.2537820.0014523714780823.85732078550.16260027885423.69059276580.083155773580123.34067726140.12058778107223.49592304230.078244559466823.30065727230.22441723942823.0171241760.089810080826322.48163986210.20141784846822.26058721540.085413157939924.8192348485.1961088180522.68825674060.3974223434931.040091831960.155764559724False1.212726572540.09288187668331.673898404680.185912280972False1.450877624610.1045588054271.736749134290.358978953255False2.255019644620.1865310336533.692700244620.685042771024False4.526526985620.3560947517890.4288506382752.05239041804False3.052792624471.11744270265
2123742882348.51251-51.2572760.11451173573723.7794170380.1207077428723.77951145170.096985429525423.23491859440.091776408255123.28364658360.068872496485722.90360832210.11024572700322.84644317630.07068111747522.89826965330.22514185309422.68442106250.11786350607923.85533142091.659741759322.37028455730.2935592234131.117463083810.124235008464False1.117365915370.09981081294321.845153758760.155969363382False1.764173794140.1119084478392.503552315930.25421086996False2.638898762660.1717915573152.515892837160.52170386606False3.063596572790.3325727112141.041999310631.59288210288False4.091534118871.10626096214
3123742919348.361679-51.2617020.98287886381118.35867500310.0016582537209618.13860225680.0015003649750717.025012970.00069362740032417.0213556290.00071686244336916.46584701540.00060305616352716.40609169010.00053981150267616.20308876040.00076403986895516.11037588120.00054523482685916.12745285030.002091233152916.0567431450.00142450188287164.6379685650.251452906137False201.6318325620.278632450598562.3346076220.359249963562False564.2320457390.372536865919941.155086740.522750713669False994.4050564310.4944030469171198.849028970.843638124048False1305.718770850.655705635341285.342476582.47569417697False1371.837726231.7998712905
4123778078344.479975-53.9297740.438133925228.18745040896.5980501174925.61109256740.42949414253223.59972000120.12120802700524.06935405730.11689946800522.72288894650.091576479375423.22460746770.085893243551322.3019905090.12887194752722.6386103630.0981250256321.48551940920.20118865370821.95495557790.1885882020.01927612955010.117141593221False0.206805923030.08180802315821.318596745530.147203813634False0.8555755735270.09211844363742.956952998660.24940436186False1.862760469260.1473641000114.357162893020.517175410799False3.195625329110.2888093958269.242559101081.71266097069False5.998156167971.0418566518
5123797593344.689434-54.2213750.4346899092225.12724494930.30812731385224.65948390960.22461634874324.30704689030.16782763600324.14460849760.14480593800525.18005752560.64304608106624.75555419920.41102990508124.41154670720.6142989993123.90627813340.3449282944223.84097480771.1754416227323.22112035750.6471475958820.3229252617440.0916448148642False0.4968284261750.1027835182710.6873552337780.106247911301False0.7982824856780.1064678912110.3075933838010.18217751158False0.4547558769710.1721580841890.6242827246160.353213102167False0.9942343112070.3158589938471.05586909141.14310683641False1.868752802631.11386069491
6123742082348.443963-51.2469310.01780888065721.78992652890.028192378580622.08454799650.021531561389620.77898216250.014393014833321.24260997770.011447476223120.46083641050.01692745275820.86931800840.011907064355920.13199234010.025526633486220.5053763390.016164693981420.13951110840.078433528542520.43017339710.04963187873366.982796546130.18131627454False5.323298276870.10556792998317.71769148040.234873807443False11.55995141780.12188252396523.75009962950.370282106937False16.303197760.17879409757632.15163507860.755913822377False22.79551794540.33938499068331.9297528292.30660373016False24.43040356761.11677847894
7123744383348.621006-51.2834480.014471908099923.28887557980.092736057937123.35794162750.061082586646122.44982337950.052912801504122.75545597080.039283089339722.24391555790.07289266586322.46825981140.047413788735921.9529991150.11178229004122.16716909410.067329756915621.25277709960.17393939197122.16663694380.2172559350731.755697812650.149959532859False1.647492131270.09268649273733.802512480820.185313510992False2.869575208950.1038242796054.59656892670.308598130395False3.738488727190.1632587307356.008974402890.618655725592False4.933241342090.30592508466911.45220623031.83469039689False4.935659856970.987626085165
8123896321348.315129-51.638810.97844815254220.24869918820.0075934180058520.07050991060.0052809636108618.74668121340.0025478331372118.7210721970.0021039217244817.45180320740.0011979741975717.39119529720.00095151161076516.89762687680.0013550549047116.79837751390.00093014223966716.76587295530.0041120941750716.68032026290.0028223211411428.87488908680.20194509656False34.02483562310.165495005144115.1668569760.270255273083False117.9155609080.228494830662379.558495970.41879535991False401.3487189470.351731815123632.3379533860.789190451062False692.8655917220.593572868297713.9220865032.70389330345False772.4526987662.00795513008
9124506908348.348611-51.7449040.51449441909824.25160789490.1984181255124.01603984830.11589226126723.870180130.17263753712224.05479145050.13183274865223.92576026920.29872298240724.03173065190.19997321069223.32144546510.34249630570423.18769216540.17389008402823.70215988161.4323134422323.11816358570.5238009095190.7233639180810.132194645493False0.8986365129850.0959211059651.027845758340.163432663923False0.8671284188190.1052888559720.9765531659710.268683012447False0.8857430213230.1631380394671.703812554330.537468956928False1.927183789110.3086552235771.199875117921.58288657306False2.054634450430.991234693244
\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 9307507 sources.\n", "The cleaned catalogue has 9307386 sources (121 removed).\n", "The cleaned catalogue has 121 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_SSDF.fits\")\n", "gaia_coords = SkyCoord(gaia['ra'], gaia['dec'])" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": true }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAbMAAAGqCAYAAACBNKrUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAgAAAAFhCAYAAAAGOBKYAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIisAGRkZGRkZixBZAcjIyMjIyFiE+L8mA0aDReurMQAAAABJRU5ErkJggg==\n", "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: 0.25125262735627985 arcsec\n", "Dec correction: -0.10440259524102657 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": "iVBORw0KGgoAAAANSUhEUgAAAbMAAAGqCAYAAACBNKrUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\niRlBEARheUjMCIIgCMtDYkYQBEFYnv8DOeRJ3SZCZEgAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAgAAAAFhCAYAAAAGOBKYAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "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": [ "454986 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 }