{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# How to remove motion noise from K2 data using the `SFFCorrector`?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can use `lightkurve` to remove the spacecraft motion noise from K2 data. Targets in K2 data move over multiple pixels during the exposure due to thruster firings. This can be corrected using the Self Flat Fielding method (SFF), which you can read more about [here](04-replicate-vanderburg-2014-k2sff.html).\n", "\n", "This tutorial demonstrates how you can apply the method on your light curves Using `lightkurve`.\n", "\n", "Let's start by downloading a K2 light curve of an exoplanet host star." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from lightkurve import search_lightcurvefile\n", "lcf = search_lightcurvefile('EPIC 247887989').download() # returns a KeplerLightCurveFile\n", "lc = lcf.PDCSAP_FLUX # returns a KeplerLightCurve\n", "\n", "# Remove nans and outliers\n", "lc = lc.remove_nans().remove_outliers() \n", "\n", "# Remove long term trends\n", "lc = lc.flatten(window_length=401)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lc.scatter();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This light curve of the object [K2-133](https://exoplanetarchive.ipac.caltech.edu/cgi-bin/DisplayOverview/nph-DisplayOverview?objname=K2-133+b&type=CONFIRMED_PLANET), which is known to host an exoplanet with a period of 3.0712 days. The light curve shows a lot of motion noise on K2's typical 6-hour motion timescale.\n", "\n", "Let's plot the folded version of it to see what the signal of the known transiting exoplanet looks like." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lc.fold(period=3.0712).scatter();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see the hint of an exoplanet transit close to the center, but the motion of the spacecraft has made it difficult to make out above the noise.\n", "\n", "We can use the `SFFCorrector` class to remove this motion. An in-depth look into how the algorithm works can be found [here](https://docs.lightkurve.org/tutorials/04-replicate-vanderburg-2014-k2sff.html). You can tune the algorithm using a number of optional keywords, including:\n", "\n", "* `degree` : *int*\n", " The degree of polynomials in the splines in time and arclength. \n", "* `niters` : *int*\n", " Number of iterations\n", "* `bins` : *int*\n", " Number of bins to be used to create the piece-wise interpolation of arclength vs flux correction.\n", "* `windows` : *int*\n", " Number of windows to subdivide the data. The SFF algorithm is run independently in each window.\n", "\n", "This [tutorial](https://docs.lightkurve.org/tutorials/04-replicate-vanderburg-2014-lightkurve.html) will teach you more about how to tune these parameters. For this problem, we will use the defaults, but increase the number of windows to 20." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "corr_lc = lc.to_corrector(\"sff\").correct(windows=20)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note: this is identical to the following command:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "from lightkurve import SFFCorrector\n", "corr_lc = SFFCorrector(lc).correct(windows=20)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now when we compare the two light curves we can see the clear signal from the exoplanet." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = lc.fold(period=3.0712).scatter(color='red', alpha=0.5, label='Original light curve')\n", "ax = corr_lc.fold(period=3.0712).scatter(ax=ax, color='blue', alpha=0.5, label='Motion noise removed using SFF');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "VoilĂ ! Correcting motion systematics can vastly improve the signal-to-noise ratio in your lightcurve." ] } ], "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 }