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@jobovy
Created January 20, 2019 01:20
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Requirement already satisfied: pystellibs from git+git://github.com/mfouesneau/pystellibs.git#egg=pystellibs in /Users/bovy/anaconda/envs/py35/lib/python3.5/site-packages\n",
"\u001b[33mYou are using pip version 9.0.1, however version 18.1 is available.\n",
"You should consider upgrading via the 'pip install --upgrade pip' command.\u001b[0m\n",
"Requirement already satisfied: pyphot from git+git://github.com/mfouesneau/pyphot.git#egg=pyphot in /Users/bovy/anaconda/envs/py35/lib/python3.5/site-packages\n",
"\u001b[33mYou are using pip version 9.0.1, however version 18.1 is available.\n",
"You should consider upgrading via the 'pip install --upgrade pip' command.\u001b[0m\n",
"Requirement already satisfied: pyextinction from git+git://github.com/mfouesneau/pyextinction.git#egg=pyextinction in /Users/bovy/anaconda/envs/py35/lib/python3.5/site-packages\n",
"\u001b[33mYou are using pip version 9.0.1, however version 18.1 is available.\n",
"You should consider upgrading via the 'pip install --upgrade pip' command.\u001b[0m\n",
"Requirement already satisfied: tables in /Users/bovy/anaconda/envs/py35/lib/python3.5/site-packages\n",
"\u001b[33mYou are using pip version 9.0.1, however version 18.1 is available.\n",
"You should consider upgrading via the 'pip install --upgrade pip' command.\u001b[0m\n",
"Requirement already satisfied: numexpr in /Users/bovy/anaconda/envs/py35/lib/python3.5/site-packages\n",
"\u001b[33mYou are using pip version 9.0.1, however version 18.1 is available.\n",
"You should consider upgrading via the 'pip install --upgrade pip' command.\u001b[0m\n"
]
}
],
"source": [
"!pip install --no-deps git+git://github.com/mfouesneau/pystellibs.git#egg=pystellibs\n",
"!pip install --no-deps git+git://github.com/mfouesneau/pyphot.git#egg=pyphot\n",
"!pip install --no-deps git+git://github.com/mfouesneau/pyextinction.git#egg=pyextinction\n",
"!pip install --no-deps tables\n",
"!pip install --no-deps numexpr"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"source": [
"import numpy\n",
"from scipy import optimize\n",
"import astropy.units as u\n",
"from galpy.util import bovy_plot\n",
"import gaia_tools.load as gload\n",
"import pystellibs\n",
"import pyphot\n",
"import pyextinction\n",
"from pyphot.vega import Vega\n",
"from pyphot.ezunits import unit\n",
"vega = Vega()\n",
"%pylab inline\n",
"bovy_plot.bovy_print(axes_labelsize=17.,text_fontsize=12.,xtick_labelsize=15.,ytick_labelsize=15.)\n",
"numpy.random.seed(1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Extinction ratio $A_G/A_K$ in *Gaia* DR2 for red-clump stars\n",
"\n",
"Our object is to determine the extinction ratio $A_G/A_K$ for APOGEE red-clump giants in *Gaia* DR2. We use synthetic photometric with applied extinction to determine this. The synthetic photometry is created from synthetic stellar spectra. All of this is done using the wonderful ``pystelllibs``, ``pyphot``, and ``pyextinction`` tools created by Morgan Fouesneau.\n",
"\n",
"## Synthetic stellar spectra\n",
"\n",
"We consider Kurucz synthetic stellar spectra obtained with the ``pystellibs`` library and then use the ``pyphot`` library to produce synthetic photometry. To see that we understand the ``pystellibs`` synthetic spectra, we compute the expected spectrum of Vega and compare it to the Vega spectra given in ``pyphot``:"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"kurucz = pystellibs.Kurucz()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The physical parameters of Vega are: $T_{\\mathrm{eff}} = 9602$ K, $\\log g = 4.1$, $[M/H] = -0.5$, $L = 57\\,L_\\odot$ (different from the standard 40.12 number, because it is rapidly rotating and 57 is the spherically-averaged number for comparing to non-rotating models), and $D = 7.68$ pc. We compute the spectrum and shift it to the observed distance, producing \"FLAM\" units (erg/s/$\\mathrm{cm}^2$/Angstrom) in the end as follows:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"#ap = (log10(Teff),logg,log10(L/Lsun),Z = log10([M/H]))\n",
"ap_vega = (numpy.log10(9602.),4.1,numpy.log10(57),0.02*10.**-0.5)\n",
"kurucz_vega= kurucz.generate_stellar_spectrum(*ap_vega)\n",
"distance_vega= 7.68*u.pc"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Plot the comparison to the \"Vega\" model in ``pyphot``:"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"loglog(kurucz._wavelength, kurucz_vega/(4.*numpy.pi*(distance_vega.to(u.cm).value)**2.))\n",
"loglog(pyphot.vega.Vega().wavelength.magnitude,pyphot.vega.Vega().flux.magnitude)\n",
"xlabel(\"Wavelength ({0})\".format(kurucz.wavelength_unit))\n",
"ylabel(r\"Flux (erg/s/$\\mathrm{cm}^2$/Angstrom)\")\n",
"xlim(800,(3.2*10**-6.*u.m).to(u.Angstrom).value)\n",
"ylim(1e-11,1e-8);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This matches very well, both in shape and amplitude. We therefore write a function that produces the observed spectrum:"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"wave_unit= list(pyphot.vega.Vega().wavelength.units.keys())[0]\n",
"flam_unit= list(pyphot.vega.Vega().flux.units.keys())[0]\n",
"def generate_stellar_spectrum(distance,*ap):\n",
" return kurucz._wavelength*unit[wave_unit], \\\n",
" kurucz.generate_stellar_spectrum(*ap)/(4.*numpy.pi*(distance.to(u.cm).value)**2.)*unit[flam_unit]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Synthetic photometry\n",
"\n",
"Next we compute synthetic photometry for a given spectrum. We use the ``pyphot`` module, which conveniently has the *Gaia* filters in them. The following *Gaia* filters are contained in the package:"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Library contains: 249 filters\n",
"Filter object information:\n",
" name: GaiaDR2_RP\n",
" detector type: photon\n",
" wavelength units: nm\n",
" central wavelength: 777.731708 nanometer\n",
" pivot wavelength: 772.596884 nanometer\n",
" effective wavelength: 7499.821288 nanometer\n",
" norm: 214.101928\n",
" definition contains 1881 points\n",
"\n",
" Zeropoints\n",
" Vega: 22.219777 mag,\n",
" 1.294461760354759e-09 erg / angstrom * centimeter ** 2 * second,\n",
" 25.773561011927043 Jy\n",
" AB: 21.847713 mag,\n",
" 1.82353791820382e-09 erg / angstrom * centimeter ** 2 * second,\n",
" 36.30780547701004 Jy\n",
" ST: 21.100000 mag,\n",
" 3.6307805477010028e-09 erg / angstrom * centimeter ** 2 * second,\n",
" 72.29116134063608 Jy\n",
" \n",
"Filter object information:\n",
" name: GaiaDR2_weiler_BPbright\n",
" detector type: photon\n",
" wavelength units: nm\n",
" central wavelength: 516.468875 nanometer\n",
" pivot wavelength: 509.179911 nanometer\n",
" effective wavelength: 4912.871011 nanometer\n",
" norm: 175.403096\n",
" definition contains 3093 points\n",
"\n",
" Zeropoints\n",
" Vega: 20.974030 mag,\n",
" 4.077445060149586e-09 erg / angstrom * centimeter ** 2 * second,\n",
" 35.2622431876809 Jy\n",
" AB: 20.942305 mag,\n",
" 4.198345558992296e-09 erg / angstrom * centimeter ** 2 * second,\n",
" 36.30780547700999 Jy\n",
" ST: 21.100000 mag,\n",
" 3.6307805477010028e-09 erg / angstrom * centimeter ** 2 * second,\n",
" 31.399433896832715 Jy\n",
" \n",
"Filter object information:\n",
" name: GaiaDR2_weiler_RP\n",
" detector type: photon\n",
" wavelength units: nm\n",
" central wavelength: 783.046047 nanometer\n",
" pivot wavelength: 777.494820 nanometer\n",
" effective wavelength: 7523.199934 nanometer\n",
" norm: 215.891556\n",
" definition contains 3093 points\n",
"\n",
" Zeropoints\n",
" Vega: 22.236597 mag,\n",
" 1.274563244553116e-09 erg / angstrom * centimeter ** 2 * second,\n",
" 25.700152262612825 Jy\n",
" AB: 21.861436 mag,\n",
" 1.8006350265364726e-09 erg / angstrom * centimeter ** 2 * second,\n",
" 36.30780547700998 Jy\n",
" ST: 21.100000 mag,\n",
" 3.6307805477010028e-09 erg / angstrom * centimeter ** 2 * second,\n",
" 73.2106573030554 Jy\n",
" \n",
"Filter object information:\n",
" name: GaiaDR2_BP\n",
" detector type: photon\n",
" wavelength units: nm\n",
" central wavelength: 513.111268 nanometer\n",
" pivot wavelength: 505.151835 nanometer\n",
" effective wavelength: 4892.086500 nanometer\n",
" norm: 177.088505\n",
" definition contains 1701 points\n",
"\n",
" Zeropoints\n",
" Vega: 20.981739 mag,\n",
" 4.048597284101835e-09 erg / angstrom * centimeter ** 2 * second,\n",
" 34.46098967558926 Jy\n",
" AB: 20.925058 mag,\n",
" 4.26556764706171e-09 erg / angstrom * centimeter ** 2 * second,\n",
" 36.307805477010184 Jy\n",
" ST: 21.100000 mag,\n",
" 3.6307805477010028e-09 erg / angstrom * centimeter ** 2 * second,\n",
" 30.904602801563158 Jy\n",
" \n",
"Filter object information:\n",
" name: GaiaDR2v2_RP\n",
" detector type: photon\n",
" wavelength units: nm\n",
" central wavelength: 779.919495 nanometer\n",
" pivot wavelength: 774.087455 nanometer\n",
" effective wavelength: 7481.400483 nanometer\n",
" norm: 213.846759\n",
" definition contains 3201 points\n",
"\n",
" Zeropoints\n",
" Vega: 22.220503 mag,\n",
" 1.2935962822463834e-09 erg / angstrom * centimeter ** 2 * second,\n",
" 25.855808019562343 Jy\n",
" AB: 21.851898 mag,\n",
" 1.8165219259846616e-09 erg / angstrom * centimeter ** 2 * second,\n",
" 36.30780547701003 Jy\n",
" ST: 21.100000 mag,\n",
" 3.6307805477010028e-09 erg / angstrom * centimeter ** 2 * second,\n",
" 72.5703730684025 Jy\n",
" \n",
"Filter object information:\n",
" name: GaiaDR2v2_BP\n",
" detector type: photon\n",
" wavelength units: nm\n",
" central wavelength: 512.896517 nanometer\n",
" pivot wavelength: 504.862423 nanometer\n",
" effective wavelength: 4895.333664 nanometer\n",
" norm: 177.310917\n",
" definition contains 3201 points\n",
"\n",
" Zeropoints\n",
" Vega: 20.985362 mag,\n",
" 4.035109401091783e-09 erg / angstrom * centimeter ** 2 * second,\n",
" 34.306839046323454 Jy\n",
" AB: 20.923813 mag,\n",
" 4.270459514368904e-09 erg / angstrom * centimeter ** 2 * second,\n",
" 36.307805477009964 Jy\n",
" ST: 21.100000 mag,\n",
" 3.6307805477010028e-09 erg / angstrom * centimeter ** 2 * second,\n",
" 30.869201174272487 Jy\n",
" \n",
"Filter object information:\n",
" name: GaiaDR2_weiler_G\n",
" detector type: photon\n",
" wavelength units: nm\n",
" central wavelength: 639.735959 nanometer\n",
" pivot wavelength: 622.877912 nanometer\n",
" effective wavelength: 5550.600889 nanometer\n",
" norm: 302.140317\n",
" definition contains 3093 points\n",
"\n",
" Zeropoints\n",
" Vega: 21.499105 mag,\n",
" 2.5139585278322915e-09 erg / angstrom * centimeter ** 2 * second,\n",
" 32.53443489636383 Jy\n",
" AB: 21.379963 mag,\n",
" 2.8055295103959706e-09 erg / angstrom * centimeter ** 2 * second,\n",
" 36.307805477009964 Jy\n",
" ST: 21.100000 mag,\n",
" 3.6307805477010028e-09 erg / angstrom * centimeter ** 2 * second,\n",
" 46.987805106720806 Jy\n",
" \n",
"Filter object information:\n",
" name: Gaia_BP\n",
" detector type: photon\n",
" wavelength units: nm\n",
" central wavelength: 516.811385 nanometer\n",
" pivot wavelength: 510.841755 nanometer\n",
" effective wavelength: 4932.002509 nanometer\n",
" norm: 254.441422\n",
" definition contains 99 points\n",
"\n",
" Zeropoints\n",
" Vega: 20.972358 mag,\n",
" 4.0837284591772346e-09 erg / angstrom * centimeter ** 2 * second,\n",
" 35.54748911683312 Jy\n",
" AB: 20.949380 mag,\n",
" 4.171074306526038e-09 erg / angstrom * centimeter ** 2 * second,\n",
" 36.30780547700995 Jy\n",
" ST: 21.100000 mag,\n",
" 3.6307805477010028e-09 erg / angstrom * centimeter ** 2 * second,\n",
" 31.604729181972615 Jy\n",
" \n",
"Filter object information:\n",
" name: Gaia_RP\n",
" detector type: photon\n",
" wavelength units: nm\n",
" central wavelength: 788.915077 nanometer\n",
" pivot wavelength: 783.597970 nanometer\n",
" effective wavelength: 7601.265071 nanometer\n",
" norm: 272.442921\n",
" definition contains 88 points\n",
"\n",
" Zeropoints\n",
" Vega: 22.263311 mag,\n",
" 1.2435858247099714e-09 erg / angstrom * centimeter ** 2 * second,\n",
" 25.470745997196428 Jy\n",
" AB: 21.878415 mag,\n",
" 1.7726953196622726e-09 erg / angstrom * centimeter ** 2 * second,\n",
" 36.30780547700998 Jy\n",
" ST: 21.100000 mag,\n",
" 3.6307805477010028e-09 erg / angstrom * centimeter ** 2 * second,\n",
" 74.3645410429327 Jy\n",
" \n",
"Filter object information:\n",
" name: GaiaDR2_G\n",
" detector type: photon\n",
" wavelength units: nm\n",
" central wavelength: 640.621313 nanometer\n",
" pivot wavelength: 623.159426 nanometer\n",
" effective wavelength: 5558.173360 nanometer\n",
" norm: 315.352350\n",
" definition contains 2921 points\n",
"\n",
" Zeropoints\n",
" Vega: 21.510108 mag,\n",
" 2.488609410067814e-09 erg / angstrom * centimeter ** 2 * second,\n",
" 32.23549718887128 Jy\n",
" AB: 21.380944 mag,\n",
" 2.802995276902167e-09 erg / angstrom * centimeter ** 2 * second,\n",
" 36.30780547701019 Jy\n",
" ST: 21.100000 mag,\n",
" 3.6307805477010028e-09 erg / angstrom * centimeter ** 2 * second,\n",
" 47.030287543449774 Jy\n",
" \n",
"Filter object information:\n",
" name: GaiaDR2v2_G\n",
" detector type: photon\n",
" wavelength units: nm\n",
" central wavelength: 642.493058 nanometer\n",
" pivot wavelength: 624.676466 nanometer\n",
" effective wavelength: 5545.643828 nanometer\n",
" norm: 314.944942\n",
" definition contains 3201 points\n",
"\n",
" Zeropoints\n",
" Vega: 21.507421 mag,\n",
" 2.494775664551507e-09 erg / angstrom * centimeter ** 2 * second,\n",
" 32.47290081823091 Jy\n",
" AB: 21.386224 mag,\n",
" 2.789397536251574e-09 erg / angstrom * centimeter ** 2 * second,\n",
" 36.30780547701022 Jy\n",
" ST: 21.100000 mag,\n",
" 3.6307805477010028e-09 erg / angstrom * centimeter ** 2 * second,\n",
" 47.259550545380336 Jy\n",
" \n",
"Filter object information:\n",
" name: GaiaDR2_weiler_BPfaint\n",
" detector type: photon\n",
" wavelength units: nm\n",
" central wavelength: 511.776769 nanometer\n",
" pivot wavelength: 503.849359 nanometer\n",
" effective wavelength: 4851.968604 nanometer\n",
" norm: 177.929888\n",
" definition contains 3093 points\n",
"\n",
" Zeropoints\n",
" Vega: 20.960044 mag,\n",
" 4.130308224527033e-09 erg / angstrom * centimeter ** 2 * second,\n",
" 34.9754394330748 Jy\n",
" AB: 20.919452 mag,\n",
" 4.287649562292817e-09 erg / angstrom * centimeter ** 2 * second,\n",
" 36.30780547701001 Jy\n",
" ST: 21.100000 mag,\n",
" 3.6307805477010028e-09 erg / angstrom * centimeter ** 2 * second,\n",
" 30.745440349174945 Jy\n",
" \n",
"Filter object information:\n",
" name: Gaia_rvs\n",
" detector type: photon\n",
" wavelength units: nm\n",
" central wavelength: 860.376331 nanometer\n",
" pivot wavelength: 860.335725 nanometer\n",
" effective wavelength: 8599.900921 nanometer\n",
" norm: 24.855008\n",
" definition contains 61 points\n",
"\n",
" Zeropoints\n",
" Vega: 22.622761 mag,\n",
" 8.93090878516123e-10 erg / angstrom * centimeter ** 2 * second,\n",
" 22.050115331366953 Jy\n",
" AB: 22.081288 mag,\n",
" 1.4705669064836193e-09 erg / angstrom * centimeter ** 2 * second,\n",
" 36.30780547700996 Jy\n",
" ST: 21.100000 mag,\n",
" 3.6307805477010028e-09 erg / angstrom * centimeter ** 2 * second,\n",
" 89.64275836375086 Jy\n",
" \n",
"Filter object information:\n",
" name: Gaia_G\n",
" detector type: photon\n",
" wavelength units: nm\n",
" central wavelength: 641.744266 nanometer\n",
" pivot wavelength: 625.527686 nanometer\n",
" effective wavelength: 5591.917717 nanometer\n",
" norm: 417.297977\n",
" definition contains 116 points\n",
"\n",
" Zeropoints\n",
" Vega: 21.507616 mag,\n",
" 2.494327655643471e-09 erg / angstrom * centimeter ** 2 * second,\n",
" 32.55561264027252 Jy\n",
" AB: 21.389181 mag,\n",
" 2.7818110602839398e-09 erg / angstrom * centimeter ** 2 * second,\n",
" 36.307805477010085 Jy\n",
" ST: 21.100000 mag,\n",
" 3.6307805477010028e-09 erg / angstrom * centimeter ** 2 * second,\n",
" 47.388435446864854 Jy\n",
" \n"
]
}
],
"source": [
"lib = pyphot.get_library()\n",
"print(\"Library contains: \", len(lib), \" filters\")\n",
"# find all filter names that relate to Gaia\n",
"# and print some info\n",
"f = lib.find('gaia')\n",
"for name in f:\n",
" lib[name].info(show_zeropoints=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We want the *G* band. There are two options: the official *Gaia* band (v2 is the relevant one) or an independent determination by Weiler that leads to better comparison with synthetic photometry. The passbands are as follows:"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot(lib['GaiaDR2v2_G'].wavelength.magnitude,lib['GaiaDR2v2_G'].transmit,label='Official Gaia DR2 (v2)')\n",
"plot(lib['GaiaDR2_weiler_G'].wavelength.magnitude,lib['GaiaDR2_weiler_G'].transmit,label='Weiler')\n",
"xlabel(r'$\\mathrm{Wavelength}\\,(\\mathrm{nm})$')\n",
"ylabel(r'$\\mathrm{Transmission}$')\n",
"legend(frameon=False);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We then write a function to compute synthetic photometry, for now without adding extinction:"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"scrolled": true
},
"outputs": [],
"source": [
"def synthetic_noextinction(distance,*ap,filt='GaiaDR2_weiler_G'):\n",
" return -2.5*numpy.log10(lib[filt].get_flux(*generate_stellar_spectrum(distance,*ap)))\\\n",
" -lib[filt].Vega_zero_mag"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Test that the distance and parameters of Vega give approximately zero (not exactly zero, because our Kurucz Vega model isn't perfect):"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.0089708997055915063"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"synthetic_noextinction(distance_vega,*ap_vega)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Extinction\n",
"\n",
"Now we finally add extinction, using extinction curves from the ``pyextinction`` package. We use an extinction law $A(\\lambda)/A_V$, parametrize the magnitude of the extinction with $A_V$, and use this to extinguish the spectrum before again computing the synthetic magnitude:"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"scrolled": true
},
"outputs": [],
"source": [
"def synthetic(Av,distance,*ap,filt='GaiaDR2_weiler_G',extinction=pyextinction.Fitzpatrick99(),Rv=3.1):\n",
" wave,spec= generate_stellar_spectrum(distance,*ap)\n",
" spec*= 10.**(-0.4*extinction(wave,Rv=Rv)*Av)\n",
" return -2.5*numpy.log10(lib[filt].get_flux(wave,spec))\\\n",
" -lib[filt].Vega_zero_mag"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To check that this works as advertized, we apply it to Vega observed in the V filter, such that the difference between the extinguished and un-extinguished magnitude should just be the input $A_V$:"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"1.196119207207559"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"synthetic(1.2,distance_vega,*ap_vega,filt='GROUND_JOHNSON_V')\\\n",
" -synthetic(0.,distance_vega,*ap_vega,filt='GROUND_JOHNSON_V')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"That's pretty close! We can also compute $A_V/A_K$:"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.112960144141\n"
]
}
],
"source": [
"AV= 1.2\n",
"AKAV= (synthetic(AV,distance_vega,*ap_vega,filt='2MASS_Ks')\\\n",
" -synthetic(0.,distance_vega,*ap_vega,filt='2MASS_Ks'))/AV\n",
"print(AKAV)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This is close to the accepted value, so all is likely well!\n",
"\n",
"Finally, we write functions that can now compute $A_G/A_K$ either for a given $A_V$ or $A_K$. Because these don't depend on the distance or luminosity (because these only affect the amplitude of the spectrum, which drops out), these are only a function of temperature, gravity, and metallicity:"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"def AGAK_AV(Av,Teff,logg,Z,extinction=pyextinction.Fitzpatrick99(),Rv=3.1):\n",
" ap= (numpy.log10(Teff),logg,0.,Z)\n",
" AG= (synthetic(Av,1.*u.kpc,*ap,filt='GaiaDR2_weiler_G')\\\n",
" -synthetic(0.,1.*u.kpc,*ap,filt='GaiaDR2_weiler_G'))\n",
" AK= (synthetic(Av,1.*u.kpc,*ap,filt='2MASS_Ks')\\\n",
" -synthetic(0.,1.*u.kpc,*ap,filt='2MASS_Ks'))\n",
" return AG/AK\n",
"def AGAK(AK,Teff,logg,Z,extinction=pyextinction.Fitzpatrick99(),Rv=3.1):\n",
" ap= (numpy.log10(Teff),logg,0.,Z)\n",
" # First need to determine AV that gives this AK\n",
" Av= optimize.brentq(lambda av: (synthetic(av,1.*u.kpc,*ap,filt='2MASS_Ks')\\\n",
" -synthetic(0.,1.*u.kpc,*ap,filt='2MASS_Ks'))-AK,0.,30.*AK)\n",
" AG= (synthetic(Av,1.*u.kpc,*ap,filt='GaiaDR2_weiler_G')\\\n",
" -synthetic(0.,1.*u.kpc,*ap,filt='GaiaDR2_weiler_G'))\n",
" return AG/AK"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For a typical red-clump giant, we then get"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"6.8400361604517457"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"AGAK(0.12,4850.,2.5,0.015)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now, let's look in more detail at the expected $A_G/A_K$ for the APOGEE red-clump stars. We load the catalog and compute $A_G/A_K$ for a random 10% subset of the stars based on their $(A_K,T_\\mathrm{eff},\\log g,Z)$:"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"rc_cat= gload.apogeerc(astroNN=True)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"/Users/bovy/anaconda/envs/py35/lib/python3.5/site-packages/ipykernel_launcher.py:3: RuntimeWarning: overflow encountered in power\n",
" This is separate from the ipykernel package so we can avoid doing imports until\n",
"\n",
"/Users/bovy/anaconda/envs/py35/lib/python3.5/site-packages/pyphot/ezunits/pint.py:931: RuntimeWarning: invalid value encountered in multiply\n",
" self._magnitude *= _to_magnitude(other, force_ndarray)\n",
"\n"
]
}
],
"source": [
"indx= numpy.random.permutation(len(rc_cat))[0:len(rc_cat)//10]\n",
"agaks= numpy.zeros(len(indx))+numpy.nan\n",
"aks= numpy.empty(len(indx))\n",
"teffs= numpy.empty(len(indx))\n",
"for ii,idx in enumerate(indx):\n",
" teffs[ii]= rc_cat['TEFF'][idx]\n",
" aks[ii]= rc_cat['AK_TARG'][idx]\n",
" agaks[ii]= AGAK(rc_cat['AK_TARG'][idx],\n",
" rc_cat['TEFF'][idx],\n",
" rc_cat['LOGG'][idx],\n",
" 0.017*10.**rc_cat['METALS'][idx])\n",
"# Cut out any very warm stars\n",
"agaks= agaks[teffs < 5500.]\n",
"aks= aks[teffs < 5500.]\n",
"teffs= teffs[teffs < 5500.]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The distribution of $A_G/A_K$ is:"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"hist(agaks,bins=31,histtype='step',lw=2.)\n",
"xlabel(r'$A_G/A_K$');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"There appears to be a strong correlation between $A_K$ and $A_G/A_K$, which we can fit as a polynomial:"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x288 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"figsize(10,4)\n",
"poly_agak= numpy.polyfit(aks,agaks,4)\n",
"scatter(aks,agaks,c=teffs,s=8.,edgecolors='None',\n",
" cmap='viridis')\n",
"xs= numpy.linspace(0.,numpy.nanmax(aks),101)\n",
"plot(xs,numpy.polyval(poly_agak,xs))\n",
"xlabel(r'$A_K$')\n",
"ylabel(r'$A_G/A_K$')\n",
"annotate(r'$A_G/A_K = {:.2f} {:+.2f} A_K {:+.2f} A_K^2 {:+.2f} A_K^3{:+.2f} A_K^4$'.format(*poly_agak[::-1]),\n",
" (0.95,0.85),xycoords='axes fraction',\n",
" horizontalalignment='right',size=14.,\n",
" zorder=10)\n",
"cbar= colorbar(fraction=0.15)\n",
"cbar.set_label(r'$T_\\mathrm{eff}\\,(\\mathrm{K})$');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The residuals are small and mostly a function of temperature:"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x288 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"figsize(15,4)\n",
"subplot(1,2,1)\n",
"scatter(aks,100.*(1-numpy.polyval(poly_agak,aks)/agaks),\n",
" c=teffs,s=8.,edgecolors='None',cmap='viridis')\n",
"xlabel(r'$A_K$')\n",
"ylabel(r'$\\mathrm{Percent\\ difference}$')\n",
"cbar= colorbar(fraction=0.15)\n",
"cbar.set_label(r'$T_\\mathrm{eff}\\,(\\mathrm{K})$')\n",
"subplot(1,2,2)\n",
"scatter(teffs,100.*(1-numpy.polyval(poly_agak,aks)/agaks),\n",
" c=aks,s=8.,edgecolors='None',cmap='viridis')\n",
"xlabel(r'$T_\\mathrm{eff}\\,(\\mathrm{K})$')\n",
"ylabel(r'$\\mathrm{Percent\\ difference}$')\n",
"cbar= colorbar(fraction=0.15)\n",
"cbar.set_label(r'$A_K$')\n",
"tight_layout();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"So let's fit these residuals as a function of $T_\\mathrm{eff}$ to get a better representation:"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x288 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"figsize(15,4)\n",
"subplot(1,2,1)\n",
"teff_pivot= 4835. #Set such that constant = 0\n",
"poly_agak_teff= numpy.polyfit(teffs-teff_pivot,agaks-numpy.polyval(poly_agak,aks),1)\n",
"scatter(aks,agaks,c=teffs,s=8.,edgecolors='None',\n",
" cmap='viridis')\n",
"xs= numpy.linspace(0.,numpy.nanmax(aks),101)\n",
"plot(xs,numpy.polyval(poly_agak,xs))\n",
"xlabel(r'$A_K$')\n",
"ylabel(r'$A_G/A_K$')\n",
"annotate(r'$A_G/A_K = {:.2f} {:+.2f} A_K {:+.2f} A_K^2 {:+.2f} A_K^3{:+.2f} A_K^4$'.format(*poly_agak[::-1])\n",
"# Following line to check that constant term for Teff fit is zero\n",
"# +'\\n\\t'+r'${:.3f} {:+.2f}/1000\\,\\mathrm{{K}}\\, (T_{{\\mathrm{{eff}}}}-{:.0f}\\,\\mathrm{{K}})$'\\\n",
"# .format(poly_agak_teff[1],1000.*poly_agak_teff[0],teff_pivot),\n",
" +'\\n\\t'+r'${:+.2f}/1000\\,\\mathrm{{K}}\\, (T_{{\\mathrm{{eff}}}}-{:.0f}\\,\\mathrm{{K}})$'\\\n",
" .format(1000.*poly_agak_teff[0],teff_pivot),\n",
" (0.95,0.8),xycoords='axes fraction',\n",
" horizontalalignment='right',size=14.,\n",
" zorder=10)\n",
"cbar= colorbar(fraction=0.15)\n",
"cbar.set_label(r'$T_\\mathrm{eff}\\,(\\mathrm{K})$');\n",
"ylim(5.2,7.79)\n",
"subplot(1,2,2)\n",
"scatter(teffs,agaks-numpy.polyval(poly_agak,aks),\n",
" c=aks,s=8.,edgecolors='None',cmap='viridis')\n",
"xs= numpy.linspace(-400.,400.,101)\n",
"plot(xs+teff_pivot,numpy.polyval(poly_agak_teff,xs))\n",
"xlabel(r'$T_\\mathrm{eff}\\,(\\mathrm{K})$')\n",
"ylabel(r'$A_G/A_K-A_G/A_K(A_K)$')\n",
"cbar= colorbar(fraction=0.15)\n",
"cbar.set_label(r'$A_K$')\n",
"tight_layout();"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x288 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"figsize(15,4)\n",
"subplot(1,2,1)\n",
"scatter(aks,100.*(1-(numpy.polyval(poly_agak,aks)+numpy.polyval(poly_agak_teff,teffs-teff_pivot))/agaks),\n",
" c=teffs,s=8.,edgecolors='None',cmap='viridis')\n",
"xlabel(r'$A_K$')\n",
"ylabel(r'$\\mathrm{Percent\\ difference}$')\n",
"cbar= colorbar(fraction=0.15)\n",
"cbar.set_label(r'$T_\\mathrm{eff}\\,(\\mathrm{K})$')\n",
"subplot(1,2,2)\n",
"scatter(teffs,100.*(1-(numpy.polyval(poly_agak,aks)+numpy.polyval(poly_agak_teff,teffs-teff_pivot))/agaks),\n",
" c=aks,s=8.,edgecolors='None',cmap='viridis')\n",
"xlabel(r'$T_\\mathrm{eff}\\,(\\mathrm{K})$')\n",
"ylabel(r'$\\mathrm{Percent\\ difference}$')\n",
"cbar= colorbar(fraction=0.15)\n",
"cbar.set_label(r'$A_K$')\n",
"tight_layout();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now the residuals are mostly below 1%."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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