{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# SA13 master catalogue\n", "## Preparation of Legacy Survey data\n", "\n", "The catalogue comes from `dmu0_LegacySurvey`.\n", "\n", "In the catalogue, we keep:\n", "\n", "- The identifier (it's unique in the catalogue);\n", "- The position;\n", "- The stellarity;\n", "- The aperture fluxes. Are these aperture corrected?\n", "- The kron magnitude to be used as total magnitude (no “auto” magnitude is provided).\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", "This notebook was executed on: \n", "2018-05-01 13:40:32.796176\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", "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, flux_to_mag" ] }, { "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 = \"legacy_ra\"\n", "DEC_COL = \"legacy_dec\"" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# Pritine LS catalogue\n", "orig_legacy = Table.read(\"../../dmu0/dmu0_LegacySurvey/data/LegacySurvey-dr4_SA13.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": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:76: RuntimeWarning: invalid value encountered in log10\n", " magnitudes = 2.5 * (23 - np.log10(fluxes)) - 48.6\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:76: RuntimeWarning: divide by zero encountered in log10\n", " magnitudes = 2.5 * (23 - np.log10(fluxes)) - 48.6\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:80: RuntimeWarning: invalid value encountered in double_scalars\n", " errors = 2.5 / np.log(10) * errors_on_fluxes / fluxes\n" ] } ], "source": [ "bands = [\"g\", \"r\", \"z\"]\n", "apertures = [0, 1, 2, 3, 4, 5, 6, 7] \n", "aperture_sizes = [0.5, 0.75, 1.0, 1.5, 2.0, 3.5, 5.0, 7.0] #arcsec aperture sizes\n", "\n", "flux = {}\n", "flux_errors ={}\n", "magnitudes = {}\n", "flux_errors ={}\n", "magnitude_errors = {}\n", "stellarities = {}\n", "\n", "flux_to_mag_vect = np.vectorize(flux_to_mag)\n", "\n", "for band in bands:\n", " flux[band] = np.transpose(np.array( orig_legacy[\"apflux_{}\".format(band)], dtype=np.float )) \n", " flux_errors[band] = np.transpose(np.array( orig_legacy[\"apflux_ivar_{}\".format(band)], dtype=np.float ))\n", " \n", " magnitudes[band], magnitude_errors[band] = flux_to_mag_vect(flux[band] * 3.631e-6 ,flux_errors[band] * 3.631e-6)\n", " \n", " stellarities[band] = np.full(len(orig_legacy),0., dtype='float32')\n", " stellarities[band][ orig_legacy[\"type\"] == \"PSF\" ] = 1.\n", " stellarities[band][orig_legacy[\"type\"] == \"PSF \" ] = 1.\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", "\n", " \n", " \n", "mag_corr = {}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### I.a - g band" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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kSAV0fvrgwYMFO3pHR0dz4MABkpKS+Pbbb4ORTUSCxDRMxzm7Hvbl57DLXsVu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\n3iHgAAAA7xBwAACAdz4Bc0uqtGfskAQAAAAASUVORK5CYII=\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 4 as target (no aperture correction)." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_vs_apcor(magnitudes['g'][4], \n", " magnitudes['g'][4], \n", " stellarities['g'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use magnitudes between 17.0 and 18.5" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for g band:\n", "Correction: 0.0\n", "Number of source used: 49\n", "RMS: 0.0\n" ] } ], "source": [ "# Aperture correction\n", "mag_corr['g'], num, std = aperture_correction(\n", " magnitudes['g'][4], magnitudes['g'][4], \n", " stellarities['g'],\n", " mag_min=17.0, mag_max=18.5)\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": [ { "data": { "image/png": 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DzESiiUmug+/W+7D/WYk7axru5Ich7VT/E5HTTvU6nojISQnoScZz5szh9ddf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\n", "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 4 as target (no correction)." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_vs_apcor(magnitudes['r'][4], \n", " magnitudes['r'][4], \n", " stellarities['r'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use magnitudes between 16.5 and 18." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for r band:\n", "Correction: -0.06083346555517011\n", "Number of source used: 108\n", "RMS: 0.011034948483842937\n" ] } ], "source": [ "# Aperture correction\n", "mag_corr['r'], num, std = aperture_correction(\n", " magnitudes['r'][4], magnitudes['r'][5], \n", " stellarities['r'],\n", " mag_min=16.5, mag_max=18.5)\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 - z band" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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7gyJ2LXuFPUuexb78Zxqe0YmonEuJ7HDeQbe3h9UMjoPmoBmAZgC1YwYBFZ61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\n", "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 4 as target (no correction). " ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_vs_apcor(magnitudes['z'][4], \n", " magnitudes['z'][4], \n", " stellarities['z'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use magnitudes between 16.0 and 17.5." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for z band:\n", "Correction: 0.0\n", "Number of source used: 95\n", "RMS: 0.0\n" ] } ], "source": [ "# Aperture correction\n", "mag_corr['z'], num, std = aperture_correction(\n", " magnitudes['z'][4], magnitudes['z'][4], \n", " stellarities['z'],\n", " mag_min=16.0, mag_max=17.5)\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": [ "## II - Stellarity\n", "\n", "Legacy Survey does not provide a 0 to 1 stellarity so we replace items flagged as PSF accpording to the following table:\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": 15, "metadata": { "collapsed": true }, "outputs": [], "source": [ "stellarities['g'][np.isclose(stellarities['g'], 1.)] = 0.9\n", "stellarities['g'][np.isclose(stellarities['g'], 0.)] = 0.05" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": true }, "outputs": [], "source": [ "orig_legacy.add_column(Column(data=stellarities['g'], name=\"stellarity\")) #Stelarites computed earlier" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## II - Column selection" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": true }, "outputs": [], "source": [ "imported_columns = OrderedDict({\n", " \"objid\": \"legacy_id\",\n", " \"ra\": \"legacy_ra\",\n", " \"dec\": \"legacy_dec\",\n", " \"flux_g\": \"f_90prime_g\",\n", " \"flux_ivar_g\": \"ferr_90prime_g\",\n", " \"apflux_g\": \"f_ap_90prime_g\",\n", " \"apflux_ivar_g\": \"ferr_ap_90prime_g\",\n", " \"flux_r\": \"f_90prime_r\",\n", " \"flux_ivar_r\": \"ferr_90prime_r\",\n", " \"apflux_r\": \"f_ap_90prime_r\",\n", " \"apflux_ivar_r\": \"ferr_ap_90prime_r\",\n", " \"flux_z\": \"f_mosaic_z\",\n", " \"flux_ivar_z\": \"ferr_mosaic_z\",\n", " \"apflux_z\": \"f_ap_mosaic_z\",\n", " \"apflux_ivar_z\": \"ferr_ap_mosaic_z\",\n", " \"stellarity\": \"legacy_stellarity\"\n", " })\n", "\n", "\n", "catalogue = orig_legacy[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": 18, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/anaconda3/envs/herschelhelp_internal/lib/python3.6/site-packages/ipykernel/__main__.py:17: RuntimeWarning: divide by zero encountered in true_divide\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:76: RuntimeWarning: divide by zero encountered in log10\n", " magnitudes = 2.5 * (23 - np.log10(fluxes)) - 48.6\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:76: RuntimeWarning: invalid value encountered in log10\n", " magnitudes = 2.5 * (23 - np.log10(fluxes)) - 48.6\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:80: RuntimeWarning: divide by zero encountered in true_divide\n", " errors = 2.5 / np.log(10) * errors_on_fluxes / fluxes\n" ] } ], "source": [ "# Adding flux and band-flag columns\n", "for col in catalogue.colnames:\n", " if col.startswith('f_'):\n", " \n", " errcol = \"ferr{}\".format(col[1:])\n", " \n", " #First we take aperture 4 if it is an aperture flux\n", " if 'ap' in col:\n", " catalogue[col] = catalogue[col][:, 4] \n", " catalogue[errcol] = catalogue[errcol][:, 4] \n", " \n", " #Convert nanomaggies to uJy\n", " # 1 nanomaggy = 1.e-9 maggy\n", " # 1 maggy = 3631 Jy\n", " # 1 nanomaggy = 3.631×10-6 Jy\n", " catalogue[col] = catalogue[col] * 3.631 #* 1.e9\n", " catalogue[errcol] = (1/np.sqrt(catalogue[errcol])) * 3.631 #* 1.e9\n", " catalogue[col].unit = u.microjansky\n", " catalogue[errcol].unit = u.microjansky\n", " \n", " mag, magerror = flux_to_mag(np.array(catalogue[col])* 1.e-6, np.array(catalogue[errcol])* 1.e-6)\n", " mag[mag == np.inf] = np.nan #The very low fluxes yield infinite mags\n", " magerror[magerror == np.inf] = np.nan\n", " \n", " if 'ap' in col:\n", " mag += mag_corr[col[-1]]\n", " catalogue[col],catalogue[errcol] = mag_to_flux(mag,magerror)\n", " catalogue[col] = catalogue[col] * 1.e6\n", " catalogue[errcol] = catalogue[errcol] * 1.e6\n", " \n", " # Add magnitudes\n", " catalogue.add_column(Column(mag , name=\"m{}\".format(col[1:])))\n", " catalogue.add_column(Column(magerror , name=\"m{}\".format(errcol[1:])))\n", " \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": 19, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/html": [ "Table length=10\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
idxlegacy_idlegacy_ralegacy_decf_90prime_gferr_90prime_gf_ap_90prime_gferr_ap_90prime_gf_90prime_rferr_90prime_rf_ap_90prime_rferr_ap_90prime_rf_mosaic_zferr_mosaic_zf_ap_mosaic_zferr_ap_mosaic_zlegacy_stellaritym_90prime_gmerr_90prime_gflag_90prime_gm_ap_90prime_gmerr_ap_90prime_gm_90prime_rmerr_90prime_rflag_90prime_rm_ap_90prime_rmerr_ap_90prime_rm_mosaic_zmerr_mosaic_zflag_mosaic_zm_ap_mosaic_zmerr_ap_mosaic_z
degdeguJyuJyuJyuJyuJyuJy
00197.80688986942.6230990601-0.3220460.206981nannan-0.1552130.352215nannan32.09020.59523532.34121.257160.9nan-0.697808Falsenan-1.02523nan-2.46378Falsenan-0.60160220.13410.0201391False20.12560.0422046
11197.81085241542.62340163580.1016110.204789nannan0.1831730.3529290.5958510.35165514.64580.56349314.12161.178090.926.38272.18822Falsenan-0.6665925.74292.09195False24.46220.64077120.98570.0417733False21.02530.0905776
22197.8104563642.62455279050.2700650.301339nannan0.3613060.4623540.2087650.35165522.13420.82385216.34241.243870.0525.32131.21147Falsenan-1.6323625.00531.38939False25.60091.8288720.53730.0404119False20.86670.0826386
33197.80996265842.62216426660.3722590.2050020.9339840.2864990.07043470.3520060.4985610.35165610.43870.5571728.936511.14690.924.97290.597911False23.97420.33304926.78055.4261False24.65570.76581621.35340.0579516False21.52210.139342
44197.98327362842.62318179982.479610.2782922.534520.2179044.986350.4220894.625240.31823911.33430.75743710.68541.257160.0522.9140.121855False22.89030.093345522.15550.0919065False22.23720.074703921.2640.0725563False21.3280.12774
55197.98292211142.62485642660.5544530.207611.058390.2179041.42970.3392051.804390.3182385.990230.5330036.111921.257160.924.54030.406545False23.83840.22353523.51190.257598False23.25920.1914921.95640.0966073False21.93460.223326
66197.78471376842.624203482383.30940.53659282.09930.286499137.450.576082139.1680.314384172.9250.791105170.4861.257160.919.09830.00699318False19.11420.0037888518.55460.00455056False18.54110.002452718.30540.00496708False18.32080.00800619
77197.92144336442.62498746380.0infnannan6.713040.5877266.499720.47381110.38310.7605748.076441.257160.05nannanFalsenannan21.83270.0950561False21.86780.079147121.35920.0795314False21.6320.169004
88197.92228078642.6236523680.0infnannan2.717940.5783332.154470.4738148.255150.7863718.959211.257160.05nannanFalsenannan22.81440.231027False23.06660.23877621.60820.103425False21.51930.152351
99197.85839081842.6240674463.912730.2897373.903140.2864987.548490.4462487.612310.3516559.37770.77963712.36641.257160.0522.41880.0803986False22.42150.079695121.70530.0641861False21.69620.050156221.46980.0902652False21.16940.110376
\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 19, "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": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The initial catalogue had 9367 sources.\n", "The cleaned catalogue has 9258 sources (109 removed).\n", "The cleaned catalogue has 109 sources flagged as having been cleaned\n" ] } ], "source": [ "SORT_COLS = [\n", " 'merr_ap_90prime_g', 'merr_ap_90prime_r', 'merr_ap_mosaic_z']\n", "FLAG_NAME = 'legacy_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": 21, "metadata": { "collapsed": true }, "outputs": [], "source": [ "gaia = Table.read(\"../../dmu0/dmu0_GAIA/data/GAIA_SA13.fits\")\n", "gaia_coords = SkyCoord(gaia['ra'], gaia['dec'])" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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ZjBMnTsSIESPQs2dPtG7dGklJSSgtLcWBAweQnp6OV155Re+cREREfqm6Mjvn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\njIiIokNMNzOjDx+YaaiDWaMrq1LdSFnUZD19eaN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GUI9srSNhT/zt6mMMsnjIYkiKQyAgCuuvhGHDec2+mBLL++zzju+DP/2cDqNT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\n4xSQEvjujPmVivsXaz6D1fBLac68N6T5Fdr+OIJdd6GRkz4jh3dyWWg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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": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "RA correction: -0.0027332342597219395 arcsec\n", "Dec correction: -0.0011730408644439194 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": 24, "metadata": { "collapsed": true }, "outputs": [], "source": [ "catalogue[RA_COL].unit = u.deg\n", "catalogue[DEC_COL].unit = u.deg\n", "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": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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cOHAA6enpeOWVV/TOSURE5JeqK7Nzzz0Xq1evxrhx45CdnY20tDRccsklmDRp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\nQqFAamoqjh8/zr8d/VEikQgqlQoODg549913oVKpkJGRgfT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9z4I4DiBqkIJDHHds8Pe8ZtBqcBCmVcaArDFgorc9W4ULSuP3nKBDNbWZVPDe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\njs28A113CQGcb9G/EnH/YlT65orXaE5XNdP2xyZW3YWapwFKUupOybR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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": 26, "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": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "569 sources flagged.\n" ] } ], "source": [ "GAIA_FLAG_NAME = \"legacy_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": 28, "metadata": { "collapsed": true }, "outputs": [], "source": [ "catalogue.write(\"{}/LegacySurvey.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": "3.6.4" } }, "nbformat": 4, "nbformat_minor": 1 }