{ "cells": [ { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "pvoEpEKIh6dg" }, "source": [ "# Instrumental Noise in _Kepler_ and _K2_ #2: Spurious Signals and Time Sampling Effects" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "L57_f2QscO85" }, "source": [ "## Learning Goals\n", "\n", "By the end of this tutorial, you will:\n", "\n", "- Understand the causes behind various spurious signals in _Kepler_ and _K2_ data.\n", "- Be able to identify which data products are affected by these signals.\n", "- Be able to recognize quality issues specific to Short Cadence data." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "D0ixWhW-cTfm" }, "source": [ "## Introduction\n", "\n", "This tutorial is the second part of a series on identifying instrumental and systematic sources of noise in _Kepler_ and _K2_ data. The first tutorial in this series is suggested (but not necessary) reading for working through this one. Assumed knowledge for this tutorial is a working familiarity with _Kepler_ light curve files, periodograms, and a basic understanding of aperture photometry." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "f0yfyjrD2ERM" }, "source": [ "## Imports\n", "\n", "We'll use **[Lightkurve](https://docs.lightkurve.org/)** for downloading and handling _Kepler_ data throughout this tutorial. We'll also use **[NumPy](https://numpy.org/)** to handle arrays for aperture masks." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "colab": {}, "colab_type": "code", "execution": { "iopub.execute_input": "2023-11-03T14:14:05.884186Z", "iopub.status.busy": "2023-11-03T14:14:05.883708Z", "iopub.status.idle": "2023-11-03T14:14:07.254510Z", "shell.execute_reply": "2023-11-03T14:14:07.253888Z" }, "id": "LQ6s2Mlwc4l9" }, "outputs": [], "source": [ "import lightkurve as lk\n", "import numpy as np\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "4pkFNT6QRQDz" }, "source": [ "---" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "XMPMikC-cq3N" }, "source": [ "## 1. Background\n", "\n", "The _Kepler_ space telescope observed the same patch of sky for four continuous years, between 2009 and 2013. Over the course of 18 observing quarters, it collected light curves and pixel data for 150,000 stars in 30-minute Long Cadence mode, and 512 stars per quarter in one-minute Short Cadence mode. Following the failure of two of the telescope's four reaction wheels, the telescope continued as the _K2_ mission, which observed along the ecliptic plane for 20 observing campaigns.\n", "\n", "_Kepler_ and _K2_ time series data have been extensively analysed, in both the time domain and the frequency domain. In this tutorial, we'll look at spurious signals — that is, signals introduced by non-astronomical sources — in data from both missions, across simple aperture photometry (SAP) and presearch data conditioning SAP (PDCSAP), as well as in individual pixel time series from target pixel files (TPFs). Many of the effects we'll cover were corrected by the presearch data conditioning (PDC) pipeline, but are still of interest to anyone working closely with pixel data or performing custom photometry. " ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "cDi6lNTbiMLt" }, "source": [ "## 2. Early _Kepler_ Mission Spurious Signals\n", "\n", "As _Kepler_ data processing evolved over the course of the mission, there were issues in the first few quarters that were mitigated by various alterations to the algorithms and systems involved. In this section, we're going to look at two spurious signals that you might come across in the first year of data from the _Kepler_ mission." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "y0TBdeDoidW3" }, "source": [ "### 2.1 Focus changes\n", "\n", "Throughout the nominal _Kepler_ mission, there was a regular momentum desaturation of the reaction wheels which controlled the telescope's pointing. In Quarters 1–3, an issue with the onboard temperature controller meant that momentum desaturation events induced non-sinusoidal variations with periods on order a few hours, reflecting a heating cycle. This was fixed at the end of Quarter 3, greatly reducing the amplitude of the focus changes, to the point that they can't be seen at all in Quarters 8–13. ([_Kepler_ Data Characteristics Handbook](https://archive.stsci.edu/files/live/sites/mast/files/home/missions-and-data/kepler/_documents/Data_Characteristics.pdf), Section 5.2.)\n", "\n", "For a closer look at data quality events caused by the reaction wheels, see part one of this tutorial series, and the [_Kepler_ Data Characteristics Handbook](https://archive.stsci.edu/files/live/sites/mast/files/home/missions-and-data/kepler/_documents/Data_Characteristics.pdf), Section 5.3.\n", "\n", "The focus changes are corrected by the PDC pipeline, but if you're working with simple aperture photometry you might come across some spurious signals. The following code selects one pixel from a TPF and plots its SAP light curve:\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 394 }, "colab_type": "code", "execution": { "iopub.execute_input": "2023-11-03T14:14:07.256995Z", "iopub.status.busy": "2023-11-03T14:14:07.256782Z", "iopub.status.idle": "2023-11-03T14:14:09.494604Z", "shell.execute_reply": "2023-11-03T14:14:09.494240Z" }, "executionInfo": { "elapsed": 2461, "status": "ok", "timestamp": 1599076561707, "user": { "displayName": "Geert Barentsen", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gj8sjdnDeqdejfe7OoouYPIclAQV0KSTpsU469Jyeo=s64", "userId": "05704237875861987058" }, "user_tz": 420 }, "id": "owwK6_8FiqAW", "outputId": "b2487abe-d90d-42ff-d84e-1d39bc1e21aa" }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/chedges/Library/Caches/pypoetry/virtualenvs/lightkurve-hY241qo1-py3.9/lib/python3.9/site-packages/astropy/io/fits/fitsrec.py:715: UserWarning: Field 12 has a repeat count of 0 in its format code, indicating an empty field.\n", " warnings.warn(\n" ] }, { "data": { "image/png": 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", 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