{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# How to combine lightcurves from different Kepler quarters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Kepler mission took 17 quarters of continuous observations on the same targets. For applications such as finding long period planets or asteroseismology it is useful to be able to turn these quarters into one long light curve. We can do this using lightkurve's `append` function. The append function is called by doing\n", "\n", " stitched_lc = lc1.append(lc2)\n", " \n", "It works in the same way as appending a list in python.\n", "\n", "Below is an example of how to stitch together all the quarters for the exoplanet target Kepler-8b." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from lightkurve import search_lightcurvefile\n", "target = 'Kepler-8b'" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "lc = search_lightcurvefile(target, quarter=1).download().PDCSAP_FLUX\n", "for q in range(2,17):\n", " lc = lc.append(search_lightcurvefile(target, quarter=q).download().PDCSAP_FLUX)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Above we have created a `KeplerLightCurve` object from the first quarter of the data, choosing to use the PDCSAP_FLUX. Then we have looped through all the quarters, appending each new light curve to the fist one. We can plot this new `KeplerLightCurve` using the `plot` function (and all the other functions from previous tutorials will work too!)" ] }, { "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.scatter();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Unfortunately, as the light fell on difference pixels in each quarter and the spacecraft changed temperature during observation, these light curves all have difference offsets. We can remove them by normalizing each light curve before we append it. We can do this with the lightkurve function `normalize`." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "lc = search_lightcurvefile(target, quarter=1).download().PDCSAP_FLUX.normalize()\n", "for q in range(2,8):\n", " lc = lc.append(search_lightcurvefile(target, quarter=q).download().PDCSAP_FLUX.normalize())" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lc.scatter();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that the light curves are normalized they don't have significant offsets. However, there are clear long term trends in some of the early quarters of the data. We can remove this using lightkurve's `flatten` method before appending each object." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "lc = search_lightcurvefile(target, quarter=1).download().PDCSAP_FLUX.normalize().flatten(window_length=401)\n", "for q in range(2,8):\n", " lc = lc.append(search_lightcurvefile(target, quarter=q).download().PDCSAP_FLUX.normalize().flatten(window_length=401))" ] }, { "cell_type": "code", "execution_count": 7, "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": [ "Now all of the light curves stitch together with no visible join. We can use the `fold` and `bin` methods to form a planet transit out of all of the data for Kepler-8b." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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