{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Choosing the correct frequencies" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import corner\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import exoplanet as xo\n", "import pymc3 as pm" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "%config IPython.matplotlib.backend = \"retina\"\n", "from matplotlib import rcParams\n", "rcParams[\"figure.dpi\"] = 100\n", "rcParams[\"savefig.dpi\"] = 150" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The default behaviour in Maelstrom is to estimate a set of frequencies for the model if none are supplied. While in most cases, these frequencies are fine, there are cases where special care must be taken. Let's first generate a synthetic light curve with TESS sampling. We'll consider a very rapidly oscillating star (frequency of 300 cpd), in a binary system with period 5 d. This is a rather unusual system, but we'll use it to prove a point." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "from maelstrom.synthetic import SyntheticBinary\n", "\n", "period = 5.\n", "eccen = 0.5\n", "asini = 100\n", "varpi = 1.\n", "tref = 0.\n", "\n", "n_freqs = 1\n", "freqs = np.array([300.])\n", "amps = np.array([1])\n", "\n", "time = np.arange(0, 27, 1.0 / (24 * 30))\n", "\n", "lc = SyntheticBinary(time, freqs,amps,\n", " period, eccen, asini, varpi, tref)\n", "\n", "lc.add_noise(snr=500)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, let's ask Maelstrom to have a quick look at the star for any time delay signal." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from maelstrom import Maelstrom\n", "ms = Maelstrom(lc.time, lc.flux / 1e3, \n", " max_peaks=1\n", " )\n", "ms.first_look(segment_size=0.1);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What's going on here? You'll notice that the time delay signal seems to be steadily decreasing over time. We can see the binary motion, but if we try and fit it we'll get some nonsense back out. Maelstrom wasn't designed for this!\n", "\n", "In fact, this motion is caused by Maelstrom incorrectly picking out the correct frequency. Frequency modulation causes a series of sidelobes to manifest in the amplitude spectrum. In some cases, such as stars with high frequency and low orbital period, these sidelobes can have higher amplitudes than the true frequency. So, let's take a closer look at the synthetic data by calculating the amplitude spectrum." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fmin, fmax = freqs[0]-3*(1/period), freqs[0]+3*(1/period)\n", "ax = ms.plot_periodogram()\n", "plt.xlim(fmin, fmax)\n", "\n", "ax.axvline(ms.freq, c='r', linestyle='dashed');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You'll notice that the true frequency at 300 cpd is split on both sides by a series of peaks. These peaks separated by the orbital frequency of the binary system (1/Porb). When Maelstrom looks for the frequency, it grabs the highest peak and optimizes that. Indeed, if we grab the sidelobe immediately to the right of the central peak, we'll notice that the time delay signal is instead increasing over time:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from maelstrom import Maelstrom\n", "ms = Maelstrom(lc.time, lc.flux, \n", " freq=[300.2]\n", " )\n", "ms.first_look(segment_size=0.05);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Hopefully this illustrates how important it is to choose your oscillation modes carefully. Finally, let's make sure we can recover the original time delay signal by picking the correct frequency:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from maelstrom import Maelstrom\n", "ms = Maelstrom(lc.time, lc.flux, \n", " freq=freqs,\n", " )\n", "ms.first_look(segment_size=0.05);" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 4 }