{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# How to remove K2 motion systematics with SFF?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can use `lightkurve` to remove the motion 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) On this page we will show a short tutorial demonstrating how you can apply the method on your light curves.\n", "\n", "Let's download a K2 light curve of an exoplanet host star. Remember that for K2 data, we can use the same Kepler functions `KeplerTargetPixelFile` and `KeplerLightCurveFile` as they are the same instrument." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from lightkurve import search_lightcurvefile\n", "lcf = search_lightcurvefile(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 is of the object [K2-133b](https://exoplanetarchive.ipac.caltech.edu/cgi-bin/DisplayOverview/nph-DisplayOverview?objname=K2-133+b&type=CONFIRMED_PLANET), which has a period of 3.0712 days. Let's plot the folded version of it to see what it looks like." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "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. We can use the `correct` function on the lightcurve to remove this motion. An in-depth look into how the algorithm works can be found [here](http://lightkurve.keplerscience.org/tutorials/motion-correction/replicate-vanderburg-2014-k2sff.html). You can pass the following keywords to the `correct` function:\n", "\n", "* `polyorder` : *int*\n", " Degree of the polynomial which will be used to fit one centroid as a function of the other.\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](gully-tutorial) 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": 5, "metadata": {}, "outputs": [], "source": [ "corr_lc = lc.to_corrector(\"sff\").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='With Motion')\n", "ax = corr_lc.fold(period=3.0712).scatter(ax=ax, color='blue', alpha=0.5, label='Motion Corrected');" ] } ], "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 }