{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# How to use lightkurve for asteroseismology\n", "\n", "Asteroseismology is the study of stellar oscillations. To see them, we usually want to transfer from the *time domain* that light curves are in to the *frequency domain*. We can do that with methods such as Fourier Transforms or Lomb-Scargle Periodograms. lightkurve has built in methods for working with data in the *frequency domain*, in the Periodogram class.\n", "\n", "Below we demonstrate some of the new functionalities in lightkurve and how to use them for asteroseismology." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from lightkurve import log, search_targetpixelfile\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from tqdm import tqdm\n", "import astropy.units as u" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As an example, we can use a red giant star from Campaign 5. You can read more about asteroseismology with giants in K2 in Stello et al 2015 [here](https://arxiv.org/pdf/1610.03060.pdf). \n", "\n", "First we'll use from_archive to download the Target Pixel File for the target." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "TARGET = \"EPIC 211416749\"\n", "tpf = search_targetpixelfile(TARGET, campaign=5, cadence='short').download()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Be aware that this is a **short cadence** light curve, which means that this dataset is much larger than others we've used in previous tutorials. If you're rerunning this tutorial locally, it might take a few minutes to rerun the later steps." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(108780, 11, 11)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tpf.flux.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's plot the target below to see if the aperture is centered. We're plotting in 'log' scale here so that we can see the wings of the PSF." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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