Last active
November 13, 2018 22:29
-
-
Save petigura/4e60030a5b93c50bf721eebf93f5c098 to your computer and use it in GitHub Desktop.
2018_11-13_Stellar-radii
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
| { | |
| "cells": [ | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "Hi, Josh.\n", | |
| "\n", | |
| "I've computed the stellar radii, given the SpecMatch effective temperatures and Gaia parallaxes. The methodology is identical to that described in Fulton and Petigura (2018). See this ipython notebook for more details. I'm keeping track of the code and the data on github\n", | |
| "\n", | |
| "https://github.com/petigura/Winn-VsinI\n", | |
| "\n", | |
| "I'll need to share access to the repo with you. Could you send me your github username? \n", | |
| "\n", | |
| "Erik" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 221, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "Populating the interactive namespace from numpy and matplotlib\n" | |
| ] | |
| }, | |
| { | |
| "name": "stderr", | |
| "output_type": "stream", | |
| "text": [ | |
| "/Users/petigura/anaconda2/lib/python2.7/site-packages/IPython/core/magics/pylab.py:161: UserWarning: pylab import has clobbered these variables: ['diff']\n", | |
| "`%matplotlib` prevents importing * from pylab and numpy\n", | |
| " \"\\n`%matplotlib` prevents importing * from pylab and numpy\"\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "%reload_ext autoreload\n", | |
| "%autoreload 2 \n", | |
| "%pylab inline\n", | |
| "%config InlineBackend.figure_format = 'retina'\n", | |
| "import winnvsini.io" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "### Outputting CSV-Files\n", | |
| "\n", | |
| "Following code takes local files on Erik's computer and outputs csv files" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 222, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "read table cksgaia-planets-filtered from ../CKS-Gaia/load_table_cache.hdf\n", | |
| "read table m17+gaia2 from load_table_cache.hdf\n", | |
| "writing table stars to cache\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "df = cksgaia.io.load_table('cksgaia-planets-filtered',cachefn='../CKS-Gaia/load_table_cache.hdf')\n", | |
| "df = df.groupby('id_kic',as_index=False).nth(0)\n", | |
| "df.to_csv('data/cksgaia-planets-filtered.csv')\n", | |
| "\n", | |
| "df = winnvsini.io.load_table('stars',cache=2)\n", | |
| "df.to_csv('data/winn-vsini-stars.csv')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "### HR Diagram\n", | |
| "\n", | |
| "Plotting the control sample parameters on top of the CKS-Gaia planets hosts.\n", | |
| "\n", | |
| "I recomend applying the following filters to get rid of bad radii (see cuts below)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 223, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "151\n" | |
| ] | |
| }, | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "<matplotlib.text.Text at 0x1a24795450>" | |
| ] | |
| }, | |
| "execution_count": 223, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1IAAAJICAYAAABrHNVOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x1a25d48a10>" | |
| ] | |
| }, | |
| "metadata": { | |
| "image/png": { | |
| "height": 292, | |
| "width": 425 | |
| } | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "import cksgaia.io\n", | |
| "cksg = pd.read_csv('data/cksgaia-planets-filtered.csv',index_col=0)\n", | |
| "df = pd.read_csv('data/winn-vsini-stars.csv',index_col=0)\n", | |
| "diff = df['giso2_sparallax'] - df['gaia2_sparallax']\n", | |
| "diff_err = np.sqrt(df['gaia2_sparallax_err'] ** 2 + df['giso2_sparallax_err1'] ** 2)\n", | |
| "df = df[\n", | |
| " df.gaia2_sparallax.notnull()# require that the stars have detected parallaxes\n", | |
| " & (df.gaia2_sparallax_over_err > 10) # require that the parallaxes are better than 10%\n", | |
| " & df.rm_code.isin([1,2,3]) # reamatch did not detect a binary\n", | |
| " & (df.sm_quality==1) # specmatch fit passed Petigura's by eye inspection\n", | |
| " & (np.abs(diff / diff_err) < 5) # spectroscopic parallax agrees with trig parallax to 4 sigma (useful for rulling out binaries) \n", | |
| "]\n", | |
| "print len(df)\n", | |
| "semilogy()\n", | |
| "errorbar(cksg.cks_steff,cksg.gdir_srad,xerr=cksg.cks_steff_err1,yerr=cksg.gdir_srad_err1,fmt='.',alpha=0.1)\n", | |
| "errorbar(df.sm_steff,df.gdir_srad,xerr=df.sm_steff_err,yerr=df.gdir_srad_err1,fmt='.')\n", | |
| "xlabel('Effective Temperature (K)')\n", | |
| "ylabel('Stellar Radius (Solar-radii)')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "### Comparing radii \n", | |
| "\n", | |
| "The radii seem to agree pretty nicely. The spectrocopic + parallax radii have smaller uncertainties than the SED + parallax radii. They agree to ~5% in the ratios which is roughly what we found in Fulton and Petigura (2018)." | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 224, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "RMS Scatter in the difference = 0.0530881504866\n" | |
| ] | |
| }, | |
| { | |
| "data": { | |
| "image/png": "iVBORw0KGgoAAAANSUhEUgAAAy0AAAJMCAYAAAD3z0lNAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x1a25f2b610>" | |
| ] | |
| }, | |
| "metadata": { | |
| "image/png": { | |
| "height": 294, | |
| "width": 406 | |
| } | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "errorbar(df.gdir_srad,df.gaia2_srad,xerr=df.gdir_srad_err1,yerr=df.gaia2_srad_err1,fmt='.')\n", | |
| "plot([.1,10],[0.1,10])\n", | |
| "grid()\n", | |
| "setp(\n", | |
| " gca(),\n", | |
| " xlabel='Stellar Radius (Solar-radii) [SpecMatch + Parallax]',\n", | |
| " ylabel='Stellar Radius (Solar-radii) [Gaia DR2]',\n", | |
| " xlim=(0.7,3),\n", | |
| " ylim=(0.7,3),\n", | |
| ")\n", | |
| "minorticks_on()\n", | |
| "\n", | |
| "print \"RMS Scatter in the difference = \", 1.5 * (df.gdir_srad/df.gaia2_srad).mad()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "### VsinI \n", | |
| "\n", | |
| "I couldn't resist taking a peak at some of the data. The VsinI distribution for the planet hosts and non-planet hosts are pretty similar. I'm interesd if you can detect any offsets in your more thorough analysis" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 225, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "<matplotlib.legend.Legend at 0x1a2c532f90>" | |
| ] | |
| }, | |
| "execution_count": 225, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": "iVBORw0KGgoAAAANSUhEUgAAAy0AAAJMCAYAAAD3z0lNAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x1a2a9a6150>" | |
| ] | |
| }, | |
| "metadata": { | |
| "image/png": { | |
| "height": 294, | |
| "width": 406 | |
| } | |
| }, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "bins = arange(5900,6500,100)\n", | |
| "\n", | |
| "cut = cksg.query('cks_steff > 5900')\n", | |
| "plot(cut.cks_steff,cut.cks_svsini,'.',label='Planet hosts',color='b')\n", | |
| "\n", | |
| "g = cut.groupby(pd.cut(cut.cks_steff, bins=bins))\n", | |
| "x = array(g.median()['cks_steff'])\n", | |
| "y = array(g.median()['cks_svsini'])\n", | |
| "plot(x,y,'o-',color='b',mew=1,mec='w',ms=10)\n", | |
| "\n", | |
| "cut = df.query('sm_steff > 5900')\n", | |
| "plot(cut.sm_steff,cut.sm_svsini,'.',label='Control',color='r')\n", | |
| "g = cut.groupby(pd.cut(cut.sm_steff, bins=bins))\n", | |
| "x = array(g.median()['sm_steff'])\n", | |
| "y = array(g.median()['sm_svsini'])\n", | |
| "plot(x,y,'o-',color='r',mew=1,mec='w',ms=10)\n", | |
| "\n", | |
| "xlabel('VsinI')\n", | |
| "ylabel('Teff')\n", | |
| "ylim(0,20)\n", | |
| "legend()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "outputs": [], | |
| "source": [] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "outputs": [], | |
| "source": [] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "outputs": [], | |
| "source": [] | |
| } | |
| ], | |
| "metadata": { | |
| "kernelspec": { | |
| "display_name": "Python 2", | |
| "language": "python", | |
| "name": "python2" | |
| }, | |
| "language_info": { | |
| "codemirror_mode": { | |
| "name": "ipython", | |
| "version": 2 | |
| }, | |
| "file_extension": ".py", | |
| "mimetype": "text/x-python", | |
| "name": "python", | |
| "nbconvert_exporter": "python", | |
| "pygments_lexer": "ipython2", | |
| "version": "2.7.13" | |
| } | |
| }, | |
| "nbformat": 4, | |
| "nbformat_minor": 2 | |
| } |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment