{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Other Fun Features" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Some other features that are included in the $\\texttt{stella}$ package include finding rotation periods and fitting flares with a simple analytic model to extract parameters such as the equivalent duration. Here, we will go through each of these additional modules." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import os, sys\n", "sys.path.insert(1, '/Users/arcticfox/Documents/GitHub/stella/')\n", "import stella\n", "import numpy as np\n", "from tqdm import tqdm_notebook\n", "import matplotlib.pyplot as plt\n", "\n", "plt.rcParams['font.size'] = 20" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First thing's first: we need a light curve! We're going to use the same one that has been used in the previous demonstrations." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "//anaconda3/lib/python3.7/site-packages/lightkurve/lightcurvefile.py:47: LightkurveWarning: `LightCurveFile.header` is deprecated, please use `LightCurveFile.get_header()` instead.\n", " LightkurveWarning)\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from lightkurve.search import search_lightcurvefile\n", "lc = search_lightcurvefile(target='tic62124646', mission='TESS')\n", "lc = lc.download().PDCSAP_FLUX.normalize()\n", "lc.plot()\n", "lc = lc.remove_nans()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 1.1 Measuring Rotation Periods" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To measure the rotation period of a light curve, you need the following information: a target ID (can be anything you want), a time array, a flux array, and a flux error array. These can all be retrieved from the $\\texttt{lightkurve}$ object. Then, you initialize the class $\\texttt{stella.MeasureProt}$." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "mProt = stella.MeasureProt([lc.targetid], [lc.time], [lc.flux], [lc.flux_err])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The rotation measurement tool used in this class is a Lomb-Scargle Periodogram. You have the option the set the minimum frequency (minf=1/12.5) and maximum frequency (maxf=1/0.1) that the periodogram searches over. You can also set the samples per peak (spp=50). The default values are noted in parentheses." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Finding most likely periods: 100%|██████████| 1/1 [00:00<00:00, 29.80it/s]\n" ] } ], "source": [ "mProt.run_LS()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Calling this will create an $\\texttt{astropy.table.Table}$ attribute with some metrics about the rotation period measured in that light curve. The columns in this table include:\n", "- Target_ID: the ID for that light curve.\n", "- period_days: the period as measured in the first orbit.\n", "- secondary_period_days: the period as measured in the second orbit.\n", "- gauss_width: the width of a best-fit Gaussian to the most likely period.\n", "- max_power: the power of the periodogram at the most likely period.\n", "- orbit_flag: a combined flag per orbit (0 = reliable measurement).\n", "- oflag1: period flag for the first orbit (0 = reliable measurement).\n", "- oflag2: period flag for the first orbit (0 = reliable measurement).\n", "- Flags: Defines a flag based on all observations of the given target. This mainly applies to stars observed in multiple sectors, otherwise it is the same value as the orbit_flag (0 = reliable measurement).\n", "- avg_period_days: the average most likely period for that target. This is averaged over multiple sectors when available.\n", " \n", "Note that by fitting to each orbit, we are limiting the period search space to relatively short rotation periods." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/html": [ "Table length=1\n", "\n", "\n", "\n", "\n", "
Target_IDperiod_dayssecondary_period_daysgauss_widthmax_powersecondary_max_powerorbit_flagoflag1oflag2Flagsavg_period_days
int64float64float64float64float64float64float64float64float64int64float64
621246463.22967914764591773.21636224711885930.33188306480480350.948139023632630.19343617519244910.00.00.003.2296791476459177
" ], "text/plain": [ "\n", "Target_ID period_days secondary_period_days ... Flags avg_period_days \n", " int64 float64 float64 ... int64 float64 \n", "--------- ------------------ --------------------- ... ----- ------------------\n", " 62124646 3.2296791476459177 3.2163622471188593 ... 0 3.2296791476459177" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mProt.LS_results" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For this star, we find a period of 3.23 days. We can fold over this period in $\\texttt{lightkurve}$ to see if this period is found in the light curve:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lc.fold(mProt.LS_results['avg_period_days'].data[0]).plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That looks nice! (And so do those flares!!)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 1.2 Fitting Flares" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In $\\texttt{stella}$, we use a very basic model flare fit of a sharp rise and an exponential decay. This can be done through a class included in the code. The first thing that needs to be done is get predictions for where the flares occur. " ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "MODEL_DIR = '/Users/arcticfox/Documents/flares/run01/'\n", "MODEL = [os.path.join(MODEL_DIR,i) for i in \n", " os.listdir(MODEL_DIR) if i.endswith('.h5')][0]" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "WARNING: No stella.DataSet object passed in.\n", "Can only use stella.ConvNN.predict().\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 1/1 [00:00<00:00, 1.16it/s]\n" ] } ], "source": [ "cnn = stella.ConvNN(output_dir='.')\n", "cnn.predict(modelname=MODEL,\n", " times=lc.time,\n", " fluxes=lc.flux,\n", " errs=lc.flux_err)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Again, now we have a light curve with predictions from just one of the $\\texttt{stella}$ models." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(14,4))\n", "plt.scatter(cnn.predict_time[0], cnn.predict_flux[0], c=cnn.predictions[0], vmin=0, vmax=1)\n", "plt.xlabel('Time [BJD - 2457000]')\n", "plt.ylabel('Normalized Flux');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can initiate our flare fitting class, `stella.FitFlares`, and start fitting those flares!" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "ff = stella.FitFlares(id=[lc.targetid],\n", " time=[lc.time],\n", " flux=[lc.flux],\n", " flux_err=[lc.flux_err],\n", " predictions=[cnn.predictions[0]])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The flares are identified given a certain probability threshold (here, I use a threshold of 0.5, which is what was used in [Feinstein et al. (2020)](https://arxiv.org/abs/2005.07710)). For the cleanest sample of flares, one could explore a higher probability threshold.\n", "\n", "Several parameters about the flare are returned in an astropy Table:\n", "- tpeak: the peak time of the flare\n", "- amp: the amplitude of the flare\n", "- dur_min: the duration of the flare, given in minutes\n", "- rise: how quickly the flare goes off (this is very fast and generally the same across all flares)\n", "- fall: the exponential decay\n", "- prob: the probability at the tpeak time" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Finding & Fitting Flares: 100%|██████████| 1/1 [00:00<00:00, 3.06it/s]\n" ] }, { "data": { "text/html": [ "Table length=16\n", "
\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
Target_IDtpeakampdur_minrisefallprob
float64float64float64float64float64float64float64
62124646.01656.45766947437780.00517271866554260139.0307026803608960.00010.00688458976865427650.9807868599891663
62124646.01657.31324338198560.00935070228511011346.0427474926023450.00010.005440531357077170.9993744492530823
62124646.01659.18828153893080.0165110534040283139.068943053366020.00010.0048665709253705070.9999998807907104
62124646.01659.93274023421740.00531299853780956839.0434203414553450.00010.0099615092212989240.6145604252815247
62124646.01661.35915489099530.01616045832644144640.07148748342360.00010.0054786545406301720.9998658895492554
62124646.01664.60226137635350.0192907510039818140.1231279321261950.00010.0083774666962270731.0
62124646.01665.10504612819890.01314713709421687539.0896531890076840.00010.0080857918850959530.9999781847000122
62124646.01671.53841797829930.02035861226105141839.1231058612179940.00010.0077604368901831541.0
62124646.01673.18702736909740.0205590406398600839.114627785012330.00010.007054779840450441.0
62124646.01676.2536836973380.03055554684541682339.214232149922520.00010.0090138280819179881.0
62124646.01676.95506884504040.00673877124922315639.025499944224180.00010.0046305339257480510.997788667678833
62124646.01677.32451111334220.2810143935238597640.429627767115780.00010.0065647640076292621.0
62124646.01677.79534147014150.00859558528051674539.04217474905530.00010.00624890500430893250.9562909603118896
62124646.01679.16477600030750.006115484082584130539.035647558860110.00010.00713760243215867150.9747272729873657
62124646.01679.5717171545920.00905349498155829339.06350144752650.00010.0088848388797201030.9999923706054688
62124646.01681.73419719783940.01064266441690119239.0321765605989060.00010.0034022541541514470.9999966621398926
" ], "text/plain": [ "\n", "Target_ID tpeak ... fall prob \n", " float64 float64 ... float64 float64 \n", "---------- ------------------ ... --------------------- ------------------\n", "62124646.0 1656.4576694743778 ... 0.0068845897686542765 0.9807868599891663\n", "62124646.0 1657.3132433819856 ... 0.00544053135707717 0.9993744492530823\n", "62124646.0 1659.1882815389308 ... 0.004866570925370507 0.9999998807907104\n", "62124646.0 1659.9327402342174 ... 0.009961509221298924 0.6145604252815247\n", "62124646.0 1661.3591548909953 ... 0.005478654540630172 0.9998658895492554\n", "62124646.0 1664.6022613763535 ... 0.008377466696227073 1.0\n", "62124646.0 1665.1050461281989 ... 0.008085791885095953 0.9999781847000122\n", "62124646.0 1671.5384179782993 ... 0.007760436890183154 1.0\n", "62124646.0 1673.1870273690974 ... 0.00705477984045044 1.0\n", "62124646.0 1676.253683697338 ... 0.009013828081917988 1.0\n", "62124646.0 1676.9550688450404 ... 0.004630533925748051 0.997788667678833\n", "62124646.0 1677.3245111133422 ... 0.006564764007629262 1.0\n", "62124646.0 1677.7953414701415 ... 0.0062489050043089325 0.9562909603118896\n", "62124646.0 1679.1647760003075 ... 0.0071376024321586715 0.9747272729873657\n", "62124646.0 1679.571717154592 ... 0.008884838879720103 0.9999923706054688\n", "62124646.0 1681.7341971978394 ... 0.003402254154151447 0.9999966621398926" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ff.identify_flare_peaks(threshold=0.5)\n", "\n", "ff.flare_table" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Cool! We can mark all of our flares as well, just to see them better by-eye:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(14,4))\n", "plt.scatter(ff.time[0], ff.flux[0], c=cnn.predictions[0], s=5)\n", "\n", "for tpeak in ff.flare_table['tpeak']:\n", " plt.vlines(tpeak, 0,2, color='k', alpha=0.5, linewidth=5, zorder=0)\n", "\n", "plt.ylim(0.94,1.3)\n", "plt.xlabel('Time [BJD - 2457000]')\n", "plt.ylabel('Normalized Flux');" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.96, 1.05)" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(14,4))\n", "plt.scatter(ff.time[0], ff.flux[0], c=cnn.predictions[0], s=5)\n", "for tpeak in ff.flare_table['tpeak']:\n", " plt.vlines(tpeak, 0,2, color='k', alpha=0.5, linewidth=5, zorder=0)\n", "plt.xlim(1660,1666)\n", "plt.ylim(0.96,1.05)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You'll also note there is a flare at time$\\sim$1665.5 that was not identified. As there was a significant gap in the data and the CNN cannot handle data gap, the cadences around this region were ignored. Hence, that flare was not identified. \n", "\n", "Additionally, the light curve looks to have a few flares at time$\\sim$1663. Zooming in, these don't look like flares. This is better seen when the eye is not guided by the prediction assignment of the neural network:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(1.1, 0, 'Time [BJD - 2457000]')" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(ncols=2, figsize=(14,4), sharex=True, sharey=True)\n", "ax1.scatter(ff.time[0], ff.flux[0], c=cnn.predictions[0], s=8)\n", "ax2.plot(ff.time[0], ff.flux[0], 'k.')\n", "for tpeak in ff.flare_table['tpeak']:\n", " plt.vlines(tpeak, 0,2, color='k', alpha=0.5, linewidth=5, zorder=0)\n", "plt.xlim(1662.5,1663.5)\n", "plt.ylim(1.01,1.035)\n", "plt.xticks(np.arange(1662.5, 1664.0, 0.5))\n", "ax1.set_ylabel('Normalized Flux')\n", "ax1.set_xlabel('Time [BJD - 2457000]', x=1.1)" ] } ], "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": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 2 }