{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# ELAIS-N1 master catalogue\n", "## Preparation of Hyper Suprime-Cam Subaru Strategic Program Catalogues (HSC-SSP) data\n", "\n", "This catalogue comes from `dmu0_HSC`.\n", "\n", "In the catalogue, we keep:\n", "\n", "- The `object_id` as unique object identifier;\n", "- The position;\n", "- The g, r, i, z, y, N921 aperture magnitude in 2” that we aperture correct;\n", "- The g, r, i, z, y, N921 kron fluxes and magnitudes.\n", "- The extended flag that we convert to a stellariy.\n", "\n", "**Note**: On ELAIS-N1 the HSC-SSP catalogue does not contain any N816 magnitudes.\n", "\n", "**TODO**: Check that the magnitudes are AB.\n", "\n", "We don't know when the maps have been observed. We will use the year of the reference paper." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "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" ] } ], "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": { "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", "plt.style.use('ggplot')\n", "\n", "from collections import OrderedDict\n", "import os\n", "\n", "from astropy import units as u\n", "from astropy import visualization as vis\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, nb_plot_mag_ap_evol, \\\n", " nb_plot_mag_vs_apcor, remove_duplicates\n", "from herschelhelp_internal.utils import astrometric_correction, mag_to_flux, 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 = \"hsc_ra\"\n", "DEC_COL = \"hsc_dec\"" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Pritine HSC catalogue\n", "orig_hsc = Table.read(\"../../dmu0/dmu0_HSC/data/HSC-PDR1_deep_ELAIS-N1.fits\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## I - 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", "\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\", \"n921\"]\n", "apertures = [\"10\", \"15\", \"20\", \"30\", \"40\", \"57\", \"84\", \"118\", \"168\", \"235\"]\n", "\n", "magnitudes = {}\n", "magnitude_errors ={}\n", "stellarities = {}\n", "\n", "for band in bands:\n", " magnitudes[band] = np.array(\n", " [orig_hsc[\"{}mag_aperture{}\".format(band, aperture)] for aperture in apertures]\n", " )\n", " magnitude_errors[band] = np.array(\n", " [orig_hsc[\"{}mag_aperture{}_err\".format(band, aperture)] for aperture in apertures]\n", " )\n", " stellarities[band] = 1 - np.array(orig_hsc[\"{}classification_extendedness\".format(band)])\n", " \n", " # Some sources have an infinite magnitude\n", " mask = np.isinf(magnitudes[band])\n", " magnitudes[band][mask] = np.nan\n", " magnitude_errors[band][mask] = np.nan\n", " \n", "mag_corr = {}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### I.a - g band" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/masterlist.py:850: RuntimeWarning: invalid value encountered in greater\n", " mags = magnitudes[:, stellarity > stel_threshold].copy()\n" ] }, { "data": { "image/png": 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3JyMj44D9hw8fTkxMDI7j4PP5yM3NrdLniojUdiYuwb9c9eg92HkP4m4rwfT5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\ndezfv5+bbrqJwYMH07dv36DlEqks7L5cX7k5kI9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UkbDlV8GZNWsW119/PU8//TRr164N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JAAAK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\nJ1VrAwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_ap_evol(magnitudes['g'], stellarities['g'], labels=apertures)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use aperture 40 as target." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/masterlist.py:903: RuntimeWarning: invalid value encountered in greater\n", " mask = stellarity > .9\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:129: RuntimeWarning: invalid value encountered in greater\n", " mask &= (stellarity > 0.9)\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" ] }, { "data": { "image/png": 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dq72dVrud1v577Xk7O/btZ1/DYa6/+CJW3HyTX81UwTRxfAGrl32XB5bcQkpS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\nqirr1q2jqKiISy+9dNB7Nptt4PHHH39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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_vs_apcor(orig_hsc['gmag_aperture20'], orig_hsc['gmag_aperture40'], stellarities['g'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use magnitudes between 18.5 and 20.8" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for g band:\n", "Correction: -0.11107730865478516\n", "Number of source used: 4125\n", "RMS: 0.0268361195668441\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:129: RuntimeWarning: invalid value encountered in greater\n", " mask &= (stellarity > 0.9)\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" ] } ], "source": [ "# Aperture correction\n", "mag_corr['g'], num, std = aperture_correction(\n", " orig_hsc['gmag_aperture20'], orig_hsc['gmag_aperture40'], \n", " stellarities['g'],\n", " mag_min=18.5, mag_max=20.8)\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": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/masterlist.py:850: RuntimeWarning: invalid value encountered in greater\n", " mags = magnitudes[:, stellarity > stel_threshold].copy()\n" ] }, { "data": { "image/png": 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sJD09PWi5vxcTExOSz/WCZolM0TJLtMwBQZ6l/wC+PaotFdPGYmfkk3TTZOK6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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_ap_evol(magnitudes['r'], stellarities['r'], labels=apertures)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use aperture 40 as target." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/masterlist.py:903: RuntimeWarning: invalid value encountered in greater\n", " mask = stellarity > .9\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:129: RuntimeWarning: invalid value encountered in greater\n", " mask &= (stellarity > 0.9)\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" ] }, { "data": { "image/png": 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PdvPO3n10dHUBMGF8NheeN4PPnDuDzy6YT6Y5JeznH81i+pd3kPypE1VVqXj1NR7Y/ASt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\n6TDmY2WOH3obEXMUnQ4KijB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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_vs_apcor(orig_hsc['rmag_aperture20'], orig_hsc['rmag_aperture40'], stellarities['r'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use magnitudes between 17.6 and 19.7." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for r band:\n", "Correction: -0.13634300231933594\n", "Number of source used: 2643\n", "RMS: 0.021289841062501185\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:129: RuntimeWarning: invalid value encountered in greater\n", " mask &= (stellarity > 0.9)\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" ] } ], "source": [ "# Aperture correction\n", "mag_corr['r'], num, std = aperture_correction(\n", " orig_hsc['rmag_aperture20'], orig_hsc['rmag_aperture40'], \n", " stellarities['r'],\n", " mag_min=17.6, mag_max=19.7)\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.c - i band" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/masterlist.py:850: RuntimeWarning: invalid value encountered in greater\n", " mags = magnitudes[:, stellarity > stel_threshold].copy()\n" ] }, { "data": { "image/png": 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ugyNwH5+I86d7MbE1vI4lEpCACs5PWzaIiEh0M8c0x1wzBDv7QexfHodrBmv+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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 40 as target." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/masterlist.py:903: RuntimeWarning: invalid value encountered in greater\n", " mask = stellarity > .9\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:129: RuntimeWarning: invalid value encountered in greater\n", " mask &= (stellarity > 0.9)\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" ] }, { "data": { "image/png": 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HknwzbZ6IyJ8YYsh1/bXCdHb0AESTbwKDz5T7Zm0hm92O+c+9iKQ4Ix68dVr/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\njeSN9CxIEZFKl4KIiHrAlpg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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_vs_apcor(orig_hsc['imag_aperture20'], orig_hsc['imag_aperture40'], stellarities['i'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use magnitudes between 18.5 and 19.8." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for i band:\n", "Correction: -0.06008434295654297\n", "Number of source used: 7243\n", "RMS: 0.00823770015735675\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:129: RuntimeWarning: invalid value encountered in greater\n", " mask &= (stellarity > 0.9)\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" ] } ], "source": [ "# Aperture correction\n", "mag_corr['i'], num, std = aperture_correction(\n", " orig_hsc['imag_aperture20'], orig_hsc['imag_aperture40'], \n", " stellarities['i'],\n", " mag_min=18.5, mag_max=19.8)\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.d - z band" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/masterlist.py:850: RuntimeWarning: invalid value encountered in greater\n", " mags = magnitudes[:, stellarity > stel_threshold].copy()\n" ] }, { "data": { "image/png": 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JNGmGkz4NEpNwZ2XhrnhGK6wkpAS1iqp27dplX9esWZOLLrqo3AOJ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_ap_evol(magnitudes['z'], stellarities['z'], labels=apertures)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use aperture 40 as target." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/masterlist.py:903: RuntimeWarning: invalid value encountered in greater\n", " mask = stellarity > .9\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:129: RuntimeWarning: invalid value encountered in greater\n", " mask &= (stellarity > 0.9)\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" ] }, { "data": { "image/png": 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cUDtjkOWzCIIQlETQ4oZgDlpSEuKRJMmz4aE+buSVyLLM5fevZNVzLzrewMVA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\nVsa4HTrSaiFnRtBUOhUEwTmv/ouLi4vJz89n/fr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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_vs_apcor(orig_hsc['zmag_aperture20'], orig_hsc['zmag_aperture40'], stellarities['z'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use magnitudes between 17.5 and 19.8." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for z band:\n", "Correction: -0.14914608001708984\n", "Number of source used: 11013\n", "RMS: 0.01947626737010215\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:129: RuntimeWarning: invalid value encountered in greater\n", " mask &= (stellarity > 0.9)\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" ] } ], "source": [ "# Aperture correction\n", "mag_corr['z'], num, std = aperture_correction(\n", " orig_hsc['zmag_aperture20'], orig_hsc['zmag_aperture40'], \n", " stellarities['z'],\n", " mag_min=17.5, mag_max=19.8)\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.e - y band" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/masterlist.py:850: RuntimeWarning: invalid value encountered in greater\n", " mags = magnitudes[:, stellarity > stel_threshold].copy()\n" ] }, { "data": { "image/png": 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WNj88DumLSNkq1RLVvy/wd+DAgcOWqfbs2VPqTcYiIifCOA7mvG7Y1udh1zyP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\nIiHDr4Iza9Ysrr76ajp37ky5ctpDRU6NdV3svFewn6RCy3Y4fx2gPXm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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 40 as target." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/masterlist.py:903: RuntimeWarning: invalid value encountered in greater\n", " mask = stellarity > .9\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:129: RuntimeWarning: invalid value encountered in greater\n", " mask &= (stellarity > 0.9)\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" ] }, { "data": { "image/png": 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LZKCxEEL4Nwk6wufUjnaUkFBfF2NAZKCxEEIEBgk6wqfUhjo4ehA1LR0lxuzr4vSLDDQW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\nRK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_vs_apcor(orig_hsc['ymag_aperture20'], orig_hsc['ymag_aperture40'], stellarities['y'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use magnitudes between 17 and 18.7." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for y band:\n", "Correction: -0.08827590942382812\n", "Number of source used: 2717\n", "RMS: 0.008183069341610581\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:129: RuntimeWarning: invalid value encountered in greater\n", " mask &= (stellarity > 0.9)\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" ] } ], "source": [ "# Aperture correction\n", "mag_corr['y'], num, std = aperture_correction(\n", " orig_hsc['ymag_aperture20'], orig_hsc['ymag_aperture40'], \n", " stellarities['y'],\n", " mag_min=17, mag_max=18.7)\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": [ "### I.f - N921 band" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/masterlist.py:850: RuntimeWarning: invalid value encountered in greater\n", " mags = magnitudes[:, stellarity > stel_threshold].copy()\n" ] }, { "data": { "image/png": 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0k/Hu3bs5++yzD6vc/FxRURFbtmyhbdu2rF27Fr/fz7HHHvuLrw8EAiQlJVX8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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_ap_evol(magnitudes['n921'], stellarities['n921'], labels=apertures)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use aperture 40 as target." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/masterlist.py:903: RuntimeWarning: invalid value encountered in greater\n", " mask = stellarity > .9\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:129: RuntimeWarning: invalid value encountered in greater\n", " mask &= (stellarity > 0.9)\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" ] }, { "data": { "image/png": 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evBjV1dVd7p8zZ06n25IkOTW6u7f9N2zYgA0bNgAAli1bhri4OMXP1RONRuO2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\nWu1gUOlSVpVaXoqgw3IEwmK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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_vs_apcor(orig_hsc['n921mag_aperture20'], orig_hsc['n921mag_aperture40'], stellarities['g'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use magnitudes between 16.5 and 18.7." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for N921 band:\n", "Correction: -0.09531402587890625\n", "Number of source used: 1119\n", "RMS: 0.01992793401881194\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:129: RuntimeWarning: invalid value encountered in greater\n", " mask &= (stellarity > 0.9)\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" ] } ], "source": [ "# Aperture correction\n", "mag_corr['n921'], num, std = aperture_correction(\n", " orig_hsc['n921mag_aperture20'], orig_hsc['n921mag_aperture40'], \n", " stellarities['n921'],\n", " mag_min=16.5, mag_max=18.3)\n", "print(\"Aperture correction for N921 band:\")\n", "print(\"Correction: {}\".format(mag_corr['n921']))\n", "print(\"Number of source used: {}\".format(num))\n", "print(\"RMS: {}\".format(std))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## II - Stellarity\n", "\n", "HSC does not provide a 0 to 1 stellarity value but a 0/1 extended flag in each band. We are using the same method as UKIDSS ([cf this page](http://wsa.roe.ac.uk/www/gloss_p.html#dxssource_pstar)) to compute a stellarity based on the class in each band:\n", "\n", "\\begin{equation*}\n", "P(star) = \\frac{ \\prod_{i} P(star)_i }{ \\prod_{i} P(star)_i + \\prod_{i} P(galaxy)_i }\n", "\\end{equation*}\n", "\n", "where $i$ is the band, and with using the same probabilities as UKDISS:\n", "\n", "| HSC flag | UKIDSS flag | Meaning | P(star) | P(galaxy) | P(noise) | P(saturated) |\n", "|:--------:|:-----------:|:----------------|--------:|----------:|---------:|-------------:|\n", "| | -9 | Saturated | 0.0 | 0.0 | 5.0 | 95.0 |\n", "| | -3 | Probable galaxy | 25.0 | 70.0 | 5.0 | 0.0 |\n", "| | -2 | Probable star | 70.0 | 25.0 | 5.0 | 0.0 |\n", "| 0 | -1 | Star | 90.0 | 5.0 | 5.0 | 0.0 |\n", "| | 0 | Noise | 5.0 | 5.0 | 90.0 | 0.0 |\n", "| 1 | +1 | Galaxy | 5.0 | 90.0 | 5.0 | 0.0 |" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# We are creating an array containing the extended flag in all band.\n", "# Some sources have no flag in some band, there will be NaN in the array.\n", "hsc_ext_flag = np.array([\n", " orig_hsc[colname] for colname in \n", " ['gclassification_extendedness',\n", " 'rclassification_extendedness',\n", " 'iclassification_extendedness',\n", " 'zclassification_extendedness',\n", " 'yclassification_extendedness',\n", " 'n921classification_extendedness']\n", "])" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": true }, "outputs": [], "source": [ "hsc_pstar = 0.9 * (hsc_ext_flag == 0) + 0.05 * (hsc_ext_flag == 1)\n", "hsc_pgal = 0.05 * (hsc_ext_flag == 0) + 0.9 * (hsc_ext_flag == 1)\n", "\n", "# We put back the NaN values\n", "hsc_pstar[np.isnan(hsc_ext_flag)] = np.nan\n", "hsc_pgal[np.isnan(hsc_ext_flag)] = np.nan" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": true }, "outputs": [], "source": [ "stellarity = np.nanprod(hsc_pstar, axis=0) / np.nansum(\n", " [np.nanprod(hsc_pgal, axis=0), np.nanprod(hsc_pstar, axis=0)], axis=0)\n", "\n", "stellarity = np.round(stellarity, 3)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "vis.hist(stellarity, bins='scott');" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": true }, "outputs": [], "source": [ "orig_hsc.add_column(Column(data=stellarity, name=\"stellarity\"))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## II - Column selection" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": true }, "outputs": [], "source": [ "imported_columns = OrderedDict({\n", " \"object_id\": \"hsc_id\",\n", " \"ra\": \"hsc_ra\",\n", " \"dec\": \"hsc_dec\",\n", " \"gmag_aperture20\": \"m_ap_suprime_g\",\n", " \"gmag_aperture20_err\": \"merr_ap_suprime_g\",\n", " \"gmag_kron\": \"m_suprime_g\",\n", " \"gmag_kron_err\": \"merr_suprime_g\",\n", " \"rmag_aperture20\": \"m_ap_suprime_r\",\n", " \"rmag_aperture20_err\": \"merr_ap_suprime_r\",\n", " \"rmag_kron\": \"m_suprime_r\",\n", " \"rmag_kron_err\": \"merr_suprime_r\",\n", " \"imag_aperture20\": \"m_ap_suprime_i\",\n", " \"imag_aperture20_err\": \"merr_ap_suprime_i\",\n", " \"imag_kron\": \"m_suprime_i\",\n", " \"imag_kron_err\": \"merr_suprime_i\",\n", " \"zmag_aperture20\": \"m_ap_suprime_z\",\n", " \"zmag_aperture20_err\": \"merr_ap_suprime_z\",\n", " \"zmag_kron\": \"m_suprime_z\",\n", " \"zmag_kron_err\": \"merr_suprime_z\",\n", " \"ymag_aperture20\": \"m_ap_suprime_y\",\n", " \"ymag_aperture20_err\": \"merr_ap_suprime_y\",\n", " \"ymag_kron\": \"m_suprime_y\",\n", " \"ymag_kron_err\": \"merr_suprime_y\",\n", " \"n921mag_aperture20\": \"m_ap_suprime_n921\",\n", " \"n921mag_aperture20_err\": \"merr_ap_suprime_n921\",\n", " \"n921mag_kron\": \"m_suprime_n921\",\n", " \"n921mag_kron_err\": \"merr_suprime_n921\",\n", " \"stellarity\": \"hsc_stellarity\"\n", " })\n", "\n", "\n", "catalogue = orig_hsc[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": 30, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Aperture correction\n", "for band in bands:\n", " catalogue[\"m_ap_suprime_{}\".format(band)] += mag_corr[band]" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/anaconda3/envs/herschelhelp_internal/lib/python3.6/site-packages/ipykernel/__main__.py:8: RuntimeWarning: invalid value encountered in greater\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" ] } ], "source": [ "# Adding flux and band-flag columns\n", "for col in catalogue.colnames:\n", " if col.startswith('m_'):\n", " \n", " errcol = \"merr{}\".format(col[1:])\n", " \n", " #Some inf anf 99. mags\n", " mask = (catalogue[col] > 90.) | (catalogue[errcol] > 90.)\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." ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "text/html": [ "<Table masked=True length=10>\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
idxhsc_idhsc_rahsc_decm_ap_suprime_gmerr_ap_suprime_gm_suprime_gmerr_suprime_gm_ap_suprime_rmerr_ap_suprime_rm_suprime_rmerr_suprime_rm_ap_suprime_imerr_ap_suprime_im_suprime_imerr_suprime_im_ap_suprime_zmerr_ap_suprime_zm_suprime_zmerr_suprime_zm_ap_suprime_ymerr_ap_suprime_ym_suprime_ymerr_suprime_ym_ap_suprime_n921merr_ap_suprime_n921m_suprime_n921merr_suprime_n921hsc_stellarityf_ap_suprime_gferr_ap_suprime_gf_suprime_gferr_suprime_gflag_suprime_gf_ap_suprime_rferr_ap_suprime_rf_suprime_rferr_suprime_rflag_suprime_rf_ap_suprime_iferr_ap_suprime_if_suprime_iferr_suprime_iflag_suprime_if_ap_suprime_zferr_ap_suprime_zf_suprime_zferr_suprime_zflag_suprime_zf_ap_suprime_yferr_ap_suprime_yf_suprime_yferr_suprime_yflag_suprime_yf_ap_suprime_n921ferr_ap_suprime_n921f_suprime_n921ferr_suprime_n921flag_suprime_n921
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\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "catalogue[:10].show_in_notebook()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## III - Removal of duplicated sources" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We remove duplicated objects from the input catalogues." ] }, { "cell_type": "code", "execution_count": 33, "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 2733395 sources.\n", "The cleaned catalogue has 2733236 sources (159 removed).\n", "The cleaned catalogue has 154 sources flagged as having been cleaned\n" ] } ], "source": [ "SORT_COLS = [\n", " 'merr_ap_suprime_i', 'merr_ap_suprime_r', 'merr_ap_suprime_z',\n", " 'merr_ap_suprime_y', 'merr_ap_suprime_g']\n", "FLAG_NAME = 'hsc_flag_cleaned'\n", "\n", "nb_orig_sources = len(catalogue)\n", "\n", "catalogue = remove_duplicates(\n", " catalogue, RA_COL, DEC_COL, \n", " sort_col= SORT_COLS,\n", " 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": 34, "metadata": { "collapsed": true }, "outputs": [], "source": [ "gaia = Table.read(\"../../dmu0/dmu0_GAIA/data/GAIA_ELAIS-N1.fits\")\n", "gaia_coords = SkyCoord(gaia['ra'], gaia['dec'])" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": 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j4+rh9fTc6mrc66TftaBXyMa4tsxqou15/g0bREZWmZryVk16TWNJRlSwX2tE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\nXbxVfeIkkG0htfktyN5uyGQSdh9vo0+9+QpbJCE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F6hiyZtS1XoUfnJs/7zqni1E1Xumg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XLv+A3iydM0f/bfMHFEAkRG8NKLL7B721YmXj5McOoYQRhQ3LQV6ftWyhICbQzBzn2YetXGe7ku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\nDg4ODo6yB5/MODg4ODjKHv8f3pZm2vJ6z2gAAAAASUVORK5CYII=\n", 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w9zU7/zy3eQ0KJMUnB0FQryBKlnatfClZSeLWdd/qQ9ysoenwN84RycDtOiS2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8p/RWJAnEfcDIlCb5ZDvztB3Bl9UGOc7TiS3ngf1ervKC52mF5taGfbGf2td7HtT1g3j2iyMX36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BXI/RNpc4YMIzsbcc6jKWJjSTieU/3op5jjM9J8R5GEGIRmgspExJ5U1sZTrG8o9BQnXK+w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\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rIxflCqvhSXbBMq9pspKZyLenlmDX3E4jz+VAr07YDy+YqcAEQkiOlD5f0COs7YLs9N+g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\nzDpEZuC26PwE2W/J8wfkVQ3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mdUZ0GkGILqTCXxgwAnWdUiZdUpnI5JHCEzOVplT7nugd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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": 36, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "RA correction: -0.06906133751272137 arcsec\n", "Dec correction: -0.018244228975561327 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": 37, "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": 38, "metadata": {}, "outputs": [ { "data": { "image/png": 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3vCNlmEEjf4yTPu9Bqi7P970JEabaGj23zbQmpt16n0TeNIrRdMKsv7+fBx98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\nQ/jMUFxrsVht91neZIX/A6J+JYBnyyg3b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XjrrbfwwAMPoLa2FgDQ2NiIxx57zK43ZswY\nrFixAgsWLMCWLVswbdq0LKUoHrJ9B+nqV0LG8nQ83n///fjNb36DO+64I2aFumHDhph611xzDV54\n4QU89dRTMZOeF+Em83HHHYfjjjvOfp4wYQJ+9rOf4aKLLkq7i1AJ71nAHX1iMmtubsa2bduSlq9e\nvdreYnCivb0dQ4cOzbif0aNH46uvvgIADBkyBK2trTHlRISOjg40NDRk3GauKJbMe/fuxQUXXABV\nVbFu3bq0+hkzZgwA2HopJYYMGQIA2LdvHw444AD782QyDh06NEEn7e3tAICGhgZEIhF0dHQk3Bm1\nb9++rMZJMZGtzABgGAaWL1+Ol156CQ899FDCVms8FEXBgQceWJZ36oZcZI6Hc5wOGTLE8+9ZIHv0\niW3GdGhqakJLS0vMFsKePXvw2Wefua4mdF3HzTffnOD72r59u/2laGpqwrvvvotIJGKXv/XWWwiF\nQjjiiCOKJEnmyFZmAOju7sbixYsxatQoPPTQQwlf7GeffRa/+93vYj77+OOPAfCJvtRobGyEz+dL\neE9vvPGGq4xNTU0JPhHr+PmkSZPQ1NSESCSCd955xy4Ph8N46623PLPqzFZmgIeTbN26FevXr0+Y\nyN555x3ccMMNMAzD/iwcDqOlpcUe6+VGtjI/+uijePLJJ2M+c47TSnjPAjmgvOdPSgNN0+ikk06i\nK664gvbu3UttbW10+eWX08knn0yaphERP53oPFZ/8cUX00knnUQff/wxhcNh2rhxI02ePJnWr19P\nRESdnZ00Y8YM+tWvfkVdXV20a9cu+tGPfkQXXHBBWWSMRy4yX3/99XTmmWfGnNB0wjr598wzz1A4\nHKYdO3bQ6aefXtZwhBUrVtCJJ55I27dvp56eHrr//vtp6tSptHPnTtq6dSvNnTuXPv/8cyIiamlp\noSlTptCDDz5Ivb299PHHH9O8efPo2muvtds777zz6KyzzqIvv/ySurq6aNWqVXTsscdSV1dXuURM\nQDYyv/DCC3TkkUfSl19+6drWrl27qKmpiW688Ubq6uqiffv20fLly+moo46itra2UoqVEtnI/NBD\nD1FTUxO9/PLLFIlE6L333qM5c+bQz3/+c7u9SnjPAtmhX0xmRERffPEFLVmyhKZOnUpNTU108cUX\nx3zB77zzTpo5c6b93NnZSStWrKBvfvOb1NjYSHPmzKENGzbEtLlt2zZauHAhTZ48mY488khatmyZ\np74M2co8YcIEOvzww6mxsTHm35w5c+w6TzzxBM2fP5+mTJlCRx11FC1fvpw6OjpKKpcToVCIrr/+\nejrmmGNo0qRJdPrpp9PmzZuJKBpK8Omnn9r1X331VTrttNOosbGRmpub6Ze//CWFQiG7vKOjg668\n8kqaNm0aTZkyhc455xz68MMPSy5XKmQj849//GMaP358wjttbGyknTt3EhHRm2++SQsXLqQjjzyS\npk6dSosXL6aPPvqobPK5Idv3/Nvf/pbmzJlDkyZNohkzZtCtt95Kvb29dnklvGeB7CBumhYQEBAQ\nqHj0C5+ZgICAgEDfhpjMBAQEBAQqHmIyExAQEBCoeIjJTEBAQECg4iEmMwEBAQGBioeYzAQEBAQE\nKh5iMhMoOZYtW4Zx48Yl/DvyyCNxwQUXpMxcfvvtt2PcuHG4+uqr8+Jh4cKFOP300+3ncePG4dZb\nb7Wf//rXv+Lb3/42Ghsb8frrrwPgOQu/8Y1v4IQTTsi4n1mzZtnyxedArESsWbPGlmfhwoXlZkdA\nwIaYzATKgsGDB2PTpk32v5deegl33303NE3DwoUL8f777yfQ6LqODRs2YMKECXjuuefQ29tbMH42\nbdqECy+80H6+8847UVNTg+eeew6NjY14//338dhjj+FHP/oRHnzwwazaPvfcc7Fp06asJkGvwpJl\n3rx55WZFQCAGYjITKAskSUJDQ4P974ADDsC0adOwZs0aqKqKRx55JIHm73//O/bs2YMbb7wRoVAI\nzz//fMH4aWhoQE1Njf3c0dGBsWPHYtSoUfD7/ejs7AQATJs2LSbZbSaorq5GQ0MDAoFAwfgtF2pq\navqMLAJ9C2IyE/AUampqMHr0aNerOtavX4/p06djwoQJ+OY3v4nHH388ozY3b96MBQsWoLGxEbNn\nz05IQgtEtxl37tyJcePG4fPPP8ezzz5rb6dZW2rnn38+Zs2alZeML774Is4880xMnToVTU1N+N73\nvoeNGzcm8HP//ffjvPPOQ2NjIz755BMA/ILRs846C1OnTsWxxx6Lq6++2s78T0S45557MHfuXEye\nPBnHHHMMLrnkErS0tNjthsNh3H777Zg3bx4mT56M4447DqtXr064j27Dhg046aSTMGnSJMyePRt3\n3313TDJiAQGvQUxmAp5CMBjEzp07cdBBB8V83tbWhr/97W/43ve+BwA49dRT8dprr8X8ULuhvb0d\nS5YsQV1dHdavX4/bb78dzzzzjJ1FPR4jRozApk2bMHz4cHznO9/Bpk2bcPfdd2PNmjUAgNtuuw3r\n16/PWb4dO3bgoosuwtixY/Hkk0/iqaeewowZM3D55Zfj3Xffjan72GOPobm5Gc8//zwOOuggbN++\nHeeccw4OPvhgPPbYY1i9ejU2b96MK664AgCf7O+9915ceeWV+OMf/4i1a9eis7MT/+///T+7zWuv\nvRa/+93vsHjxYjzzzDO44oor8PDDD+OWW26x6zz11FO45pprcPrpp9t17r77btxzzz05yy0gUGz0\nifvMBPoGdu/ejZtuugm9vb34wQ9+EFP25JNPoqqqCrNnzwYAfOtb38LgwYPxxBNP4LLLLkva5p/+\n9Cd0dXXhhhtusK80+fWvf43m5mbX+rIso6GhAbIsw+/323fTWTdU19XVYfDgwTnLOHz4cDz99NMY\nMWIEqqurAfCLYNeuXYt//OMfOPzww+26AwcOxLnnnms/P/LII6iqqsLKlSshyzIAfr3L008/je7u\nbrzzzjsYMWIEjj/+eADAgQceiDvuuANffPEFDMNAa2srNmzYgIsuuginnXYaAH4lys6dO/Ff//Vf\nuOSSSzBgwADcd999mDVrFs4++2wA/C6w1tZW+8ZnAQEvQkxmAmVBW1sbmpqa7GfDMBAMBtHY2Ih7\n770XEyZMiKm/fv16zJs3D36/HwCgqipOPvlkPPnkk7j00kuT3hD8wQcfoLq6OuZurrq6Ohx66KFF\nkCo9/H4/PvroI1x33XX4+OOPsX//frss/uLQiRMnxjy/9dZbOPzww+2JDABmzJiBGTNmAOA3LK9b\ntw7nnHMOFixYgGOOOQYjRoywJ9+3334bhmEkTOTTp0/H6tWrsW3bNjQ2NuLDDz/E/PnzY+r8+Mc/\nzl94AYEiQkxmAmXBoEGD8L//+7/285tvvomlS5fiwgsvtH+cLbzxxhvYvn07tm/fHkNj4ZVXXsH0\n6dNd+9m/f7/rYYWampoEP1EpsHHjRlx22WU44YQTcOmll2Lo0KFgjGHOnDmuPDrR2dmJESNGJG37\nW9/6Fh5++GE8/PDDWLVqFbq6ujBlyhQsXboU3/jGN9Dd3Q2An0j/eQwmAAAD5ElEQVSUpKiHwbo4\no7W11T7oEt+3gIDXISYzgbJAluWY1dKYMWPwxz/+Eddeey2OPvpoDBgwwC5bv349DjvssJg4MAtX\nX301Hn/88aSTWXV1NYLBYMLnXV1dqKqqKoAk2eHpp5/G8OHDcdttt9kTyu7duzOiHTJkCDo6OlLW\nmTZtGqZNmwZN0/D666/jrrvuwvnnn4+//e1v9lbprbfeirFjx7q27/f7IUlS2n4EBLwGcQBEwDO4\n5ppr0NXVFXMYYf/+/Xjuuedw4oknYsKECQn/5s+fj40bN9qrjngcfPDB6OnpiTnw0d7eju3btxdd\nHjdEIhHU1dXFrIyeeOIJANEVUjI0Njbi7bffRjgctj975ZVX8IMf/AC7d+/G3//+d3z44YcAAEVR\ncPTRR+Oqq67C/v378cknn6CxsRGyLOOrr77CmDFj7H9DhgyBqqqora2FqqoYN24c3njjjZi+H3zw\nwZS+SQGBckNMZgKewciRI3HRRRdh3bp1eO211wAAzz77LHp6enDiiSe60sybNw+hUAh/+MMfXMtn\nz56NQCCAG264Ae+//z7efvtt/PSnP83rEIeF2267DT/84Q+zopk6dSo++ugjPPvss2hpacF9992H\nrVu3YsSIEXj//fdTrtIWLlyISCSCpUuX4tNPP8Wbb76JVatWwefzYdiwYdiwYQMuueQSbNq0CV98\n8QU++OADPPjggxg6dCgOPfRQDB06FKeddhrWrFmD//u//0NLSwvefPNNXHjhhVi0aBEikQgAYPHi\nxdi0aRPWrl2Lzz//HBs3brQzfwgIeBViMhPwFBYtWoRDDz0U11xzDUKhEB5//HFMnDgxZkvSieHD\nh6OpqSlpqqhhw4bhrrvuwu7du3HaaafhJz/5CebPn49JkyblzWtrayt27NiRFc3ZZ5+N+fPnY8WK\nFTj11FPx0Ucf4eabb8aPf/xjbN68GcuWLUtKO2rUKDzwwAP48ssvsWDBAlx66aVobGzE6tWrAQDX\nX389pk+fjquvvhpz5szBOeecg+7ubjzwwAOora0FwE8//uhHP8Ltt9+O7373u1iyZAlGjBiBhx56\nCKqqAgDmz5+P66+/Hhs2bMDcuXNx00034YILLojJkCIg4DUwSre3ISAgkDNmzZqFU045BZdeemm5\nWSkoli1bhs8//xy///3vy82KgAAAsTITECg6enp60Nra6noQpdKwf//+PiOLQN+CmMwEBIqMBx54\nAMceeyyeffbZcrOSN/5/O3ZMAwAMA0GMP6Kn16lDEVQn2QiS6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ealvkcoWGAeccXFyj8wItM3RaEg/mKIKrqv10vxQQa7Graut26HprSXQeFnPC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XcJbu1sQ2GBEoJeT+SJ4jbrsx1m6coe/JaY+LDm4PaNewsFAPIFPGnc/GJG86qP3r+aVkRV/e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8yOW1dwt7OEvnM6YZ97s7D++AkywVVV8qzf2K2fUwKl8hJ1zKnHPT7hDkdUvEV9HwfCL0rC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\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OJXI8YZoSk9fkPGAFbE7QZ2Rek5sSa5XlzTDC2QIu1ro9CBaaBtkfAAPnM6ybHBWDR8oS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\n6DrY7IwXISDna7s/542QeX6BbPdIkZo98Kw0aEQV7t1BL2y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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": 39, "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": 40, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "20343 sources flagged.\n" ] } ], "source": [ "GAIA_FLAG_NAME = \"hsc_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": 41, "metadata": { "collapsed": true }, "outputs": [], "source": [ "catalogue.write(\"{}/HSC-SSP.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": "3.6.8" } }, "nbformat": 4, "nbformat_minor": 1 }