{ "cells": [ { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "SQ373GlLUmAo" }, "source": [ "# Creating periodograms and identifying significant peaks" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "iTCqL18hUxya" }, "source": [ "## Learning Goals\n", "\n", "By the end of this tutorial, you will:\n", "\n", "- Understand the definition and utility of the frequency domain.\n", "- Understand the concept of a periodogram.\n", "- Be able to create a periodogram from *Kepler* data using Lightkurve.\n", "- Be able to interpret a periodogram." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "f0_oL7t-VB3x" }, "source": [ "## Introduction\n", "\n", "The [*Kepler*](https://www.nasa.gov/mission_pages/kepler/main/index.html) and [*TESS*](https://tess.mit.edu/) telescopes observe stars for long periods of time, from just under a month to four years. By doing so they observe how the brightnesses of stars change over time.\n", "\n", "Some signals that appear in these time series will form repeating patterns. In other words, they oscillate. These oscillations are better studied in frequency space, through the means of a *periodogram*. This tutorial provides an explanation of what a periodogram is, and how you can use Lightkurve's tools to study a *Kepler* observation in the frequency domain.\n", "\n", "Stars of all shapes, sizes, and ages experience changes in brightness. This variability repeats over time, forming oscillation signals that we can observe in *Kepler* data. \n", "\n", "Stellar brightness variability can have various sources. Some stars will vary in brightness due to star spots rotating in and out of view. Others pulsate, shrinking and expanding due to waves forming inside of the star. And still others may vary in brightness due to interaction with a nearby companion. By understanding the stellar variability, we can learn a lot about the conditions on, within, and around the star itself.\n", "\n", "Because stellar variablity produces oscillating signals, and *Kepler* data can span up to four years, it is often cumbersome to study these oscillations in the time domain. Instead, we can study them in the frequency domain, where signals are separated into bins of frequency, and strong repeating patterns are more readily discerned.\n" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "L8bDU6OgWJfN" }, "source": [ "## Imports\n", "This tutorial requires **[Lightkurve](https://docs.lightkurve.org)**, which in turn uses **[matplotlib](https://matplotlib.org/stable/index.html)** for plotting." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "colab": {}, "colab_type": "code", "execution": { "iopub.execute_input": "2023-11-03T14:26:44.554302Z", "iopub.status.busy": "2023-11-03T14:26:44.553918Z", "iopub.status.idle": "2023-11-03T14:26:45.815755Z", "shell.execute_reply": "2023-11-03T14:26:45.815287Z" }, "id": "TRtQcR3rYy0E" }, "outputs": [], "source": [ "import lightkurve as lk\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "d2krG6SjWhhf" }, "source": [ "## 1. The Frequency Domain" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "XZk7jSIj_XBP" }, "source": [ "To understand the frequency domain, we must first understand a little about the concept of a [Fourier Transform (FT)](https://en.wikipedia.org/wiki/Fourier_transform), the mathematical transformation we can use to translate time-domain data into the frequency domain.\n", "\n", "If we have a function of time $x(t)$, such as the brightness of a star, the FT of this function, $X(\\nu)$, is given as \n", "\n", "$$X(\\nu) = \\int^{+\\infty}_{-\\infty}x(t)e^{-2\\pi i\\nu t}\\rm{d}t\\, ,$$\n", "\n", "where $t$ is time, $i$ is the imaginary unit, and $\\nu$ is frequency. This equation looks like a bit of a handful, so let's try to break it down:\n", "\n", "A Fourier Transform...\n", "\n", "- for a frequency $\\nu$,\n", "- $e^{-2\\pi i \\nu t}$: takes a cosine and a sine of that frequency*, and\n", "- $x(t) e^{-2\\pi i \\nu t}$: multiplies it with the function at time $t$, and\n", "- $\\int^{+\\infty}_{-\\infty} x(t) e^{-2\\pi i \\nu t} \\rm{d}t$ : integrates over the full range of time:\n", "- The result of this is the value of the Fourier Transform at that frequency: $X(\\nu)$. \n", "\n", "*through [Euler's formula](https://en.wikipedia.org/wiki/Euler%27s_formula)." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "mD9AlXra_XKD" }, "source": [ "For example, if you had a function that was a sine wave with a frequency of $5\\, \\rm Hz$, $X(5\\, \\rm Hz)$ would be large. But if you had a sine wave with a vastly different frequency (like $100\\, \\rm Hz$), $X(5\\, \\rm Hz)$ would be small. And $X(100\\, \\rm Hz)$ would be large!\n", "\n", "In short, the FT of a function shows us the frequencies of periodic signals. This is incredibly useful when studying stars, which exhibit all kinds of variability due to rotation, activity, granulation, and sound waves under their surface. A FT lets us extract the oscillation frequencies of these events more clearly." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "jKDel3pv8ATf" }, "source": [ "## 2. Creating a Periodogram from *Kepler* Data" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "pL3WbBu__X4U" }, "source": [ "If we want to study *Kepler* data in the frequency domain, there are a couple of approximations we need to make. Mainly, we need to account for the fact that our data is *not* a continuous function, but a discrete set of observations. The required operation to convert a discrete function to the frequency domain is called a Discrete Fourier Transform (DFT).\n", "\n", "One of the methods people use to estimate the DFT of a light curve is the *Lomb-Scargle periodogram*. Without delving into the details here, a periodogram is an estimation of what the FT of the data would look like were it a continuous function. You can find a thorough explanation of both the Fourier Transform as well as the Lomb-Scargle periodogram in [Vanderplas (2017)](https://arxiv.org/pdf/1703.09824.pdf).\n", "\n", "Lightkurve's built-in functions use the [Astropy Lomb-Scargle](https://docs.astropy.org/en/stable/timeseries/lombscargle.html) implementation. Let's use it below to have a look at a periodogram of an eclipsing binary star, KIC 10264202." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 387 }, "colab_type": "code", "execution": { "iopub.execute_input": "2023-11-03T14:26:45.818004Z", "iopub.status.busy": "2023-11-03T14:26:45.817847Z", "iopub.status.idle": "2023-11-03T14:26:46.767676Z", "shell.execute_reply": "2023-11-03T14:26:46.767323Z" }, "executionInfo": { "elapsed": 3562, "status": "ok", "timestamp": 1599617686029, "user": { "displayName": "Geert Barentsen", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gj8sjdnDeqdejfe7OoouYPIclAQV0KSTpsU469Jyeo=s64", "userId": "05704237875861987058" }, "user_tz": 420 }, "id": "wDcWJTOX_X-y", "outputId": "6c638765-3f36-4274-ce92-8fee97c5dc8d" }, "outputs": [ { "data": { "image/png": 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", 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