{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# TESS example: The decreasing orbital period of WASP-4b\n", "\n", "[Bouma et al. (2019)](http://adsabs.harvard.edu/abs/2019AJ....157..217B). discovered that the TESS-observed transits of WASP-4b occur 81.6 ± 11.7 seconds earliear than what predicted by the ephemeris based on the previous observations. This would correspond to the orbital period decreasing -12.6 milliseconds per year. Here we reproduce the analysis using PyTransit." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "source": [ "%pylab inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "import seaborn as sb\n", "\n", "from pathlib import Path\n", "from uncertainties import ufloat\n", "from scipy.stats import norm\n", "\n", "from pytransit.lpf.tesslpf import TESSLPF, fold, downsample_time\n", "from pytransit.orbits import epoch" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "npop = 30\n", "mcmc_repeats = 4" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Calculate the prior ephemeris\n", "\n", "First, we calculate the prior ephemeris using the transit centres from previous research. The table is taken from [Bouma et al. (2019)](http://adsabs.harvard.edu/abs/2019AJ....157..217B), who did the hard work of going through the literature and weeding the reliable estimates from the unreliable ones." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "centers = pd.read_csv('data/wasp_4b_transit_times.csv', sep='\\t', header=0)\n", "c, ccov = polyfit(centers.epoch, centers.time, deg=1, w=1/centers.error, cov=True)\n", "\n", "zero_epoch = ufloat(c[1], sqrt(ccov[1,1]))\n", "period = ufloat(c[0], sqrt(ccov[0,0]))" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "residuals = centers.time - poly1d(c)(centers.epoch)\n", "fig, ax = subplots(figsize=(13,4), constrained_layout=True)\n", "ax.errorbar(centers.epoch, 24*residuals, 24*centers.error, fmt='.')\n", "ax.axhline(0, c='k', lw=1, ls='--')\n", "setp(ax, xlabel='Epoch', ylabel='Transit centre residuals [h]');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Create the Log Posterior function\n", "\n", "### Initialise the log posterior function and set the transit centre and period priors\n", "\n", "We first set a wide normal prior on the transit centre that corresponds to the centre time of the first expected transit in the TESS data, but with uncertainty multiplied by 20 to make sure our prior doesn't dominate the posterior. We also set a wide normal prior on the period centred around the original period estimate, but very wide.\n", "\n", "[Bouma et al. (2019)](http://adsabs.harvard.edu/abs/2019AJ....157..217B) fitted each transit separately with the flux baseline modelled with a linear slope. We also use a linear slope for each transit (by setting `nlegendre = 1`. I also did check whether adding more complexity would make any difference to the analysis, but it didn't really change the outcome.), but model the transits jointly. This is slightly slower than their approach (because of the larger number of free parameters), but generally more robust. Fitting each transit separately takes some seconds per transit, while the joint analysis takes some minutes." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "lpf = TESSLPF('WASP-4b', 'data', tic=402026209, zero_epoch=zero_epoch.n, period=period.n, nsamples=2, bldur=0.25)\n", "\n", "ep = epoch(lpf.times[0].mean(), lpf.zero_epoch, lpf.period)\n", "tc = zero_epoch + ep*period\n", "\n", "lpf.set_prior('tc', 'NP', tc.n, 0.05) # Wide normal prior on the transit center\n", "lpf.set_prior('p', 'NP', period.n, 1e4*period.s) # Wide normal prior on the orbital period\n", "lpf.set_prior('rho', 'UP', 0.5, 2.0) # Uniform prior on the stellar density\n", "lpf.set_prior('k2', 'UP', 0.0, 0.2**2) # Uniform prior on the area ratio\n", "lpf.set_prior('gp_ln_in', 'UP', -2, 1) # Uniform prior on the GP input scale" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Print the model parameters" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " 0 |G| tc N(μ = 2458355.18545208, σ = 0.05) [ -inf .. inf]\n", " 1 |G| p N(μ = 1.338231704988801, σ = 0.0003804194937215378) [ 0.00 .. inf]\n", " 2 |G| rho U(a = 0.5, b = 2.0) [ 0.00 .. inf]\n", " 3 |G| b U(a = 0.0, b = 1.0) [ 0.00 .. 1.00]\n", " 4 |P| k2 U(a = 0.0, b = 0.04000000000000001) [ 0.00 .. inf]\n", " 5 |P| q1_TESS U(a = 0, b = 1) [ 0.00 .. 1.00]\n", " 6 |P| q2_TESS U(a = 0, b = 1) [ 0.00 .. 1.00]\n", " 7 |L| gp_ln_out N(μ = -6.0, σ = 1.5) [ -inf .. inf]\n", " 8 |L| gp_ln_in U(a = -2, b = 1) [ -inf .. inf]\n", " 9 |L| gp_log10_wn N(μ = -2.561492725881481, σ = 0.025) [ -inf .. inf]\n" ] } ], "source": [ "lpf.print_parameters(columns=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Global optimisation\n", "\n", "We'll start with a global optimisation run to clump the parameter vector population near the global posterior mode and plot the mode.\n", "\n", "This can be done semi-interactively. That is, first run the optimiser (evaluate the cell below) with a small (100-300) number of iterations and plot the folded transit. Then run the optimiser again (re-evaluate the cell below, and the optimiser continues from where it left) and replot the folded transit. After it's clear that the optimiser is converging to a sensible solution, run the optimiser longer (possibly until it stops).\n", "\n", "**Note:** The parameter vector population size `npop` should be at least twice the number of free parameters (`len(lpf.ps)`)." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "scrolled": true }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "65c980263a724ee8959e2bf2b38b5926", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Global optimisation: 0%| | 0/150 [00:00" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "lpf.optimize_global(150, npop=npop)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "lpf.plot_folded_transit(ylim=(0.96, 1.02));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## MCMC\n", "\n", "### Sample the posterior\n", "We continue with an MCMC run, using the global optimisation population as the MCMC starting population. The MCMC sampling consists of a set of wamp-up runs where each run is started from the parameter vector population of the previous run's last iteration, and the chains from the previous run are discarded." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "4e7ac30e209b4934a89235e38df2c18b", "version_major": 2, "version_minor": 0 }, "text/plain": [ "MCMC sampling: 0%| | 0/4 [00:00" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = lpf.plot_individual_transits(ncols=4, figsize=(13,8), xlim=(-2.5,2.5))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot the posterior transit centre" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "df = lpf.posterior_samples()" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = subplots(figsize=(7,4), constrained_layout=True)\n", "d_to_s = 24*60*60\n", "tc_diff = d_to_s*(df.tc-tc.n)\n", "tc_diff_m = median(tc_diff)\n", "x = linspace(- 5*tc.s, 5*tc.s)\n", "ax.plot(d_to_s*x, norm(0, d_to_s*tc.s).pdf(d_to_s*x));\n", "ax.hist(tc_diff, density=True, bins='auto')\n", "ax.axvline(tc_diff_m)\n", "ax.annotate(f'{tc_diff_m:.2f} ± {tc_diff.std():.2f} s', (tc_diff_m, 0.05), ((tc_diff_m+3, 0.05)))\n", "setp(ax, xlabel='Posterior transit centre - prior transit centre [s]', yticks=[])\n", "sb.despine(fig, offset=5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The default corner plot\n", "\n", "Everyone likes corner plots, so let's do one for the main parameters." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "lpf.plot_basic_posteriors()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "----\n", "
© 2021 Hannu Parviainen
" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.8.10" } }, "nbformat": 4, "nbformat_minor": 2 }