{ "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\n", "log.setLevel('WARNING') # Ignore download messages" ] }, { "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": [ "ID = 211416749\n", "tpf = search_targetpixelfile(ID, 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": [ "(109343, 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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