{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from astropy.timeseries import LombScargle\n", "\n", "plt.style.use('seaborn-whitegrid')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Kepler" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from astropy.io import fits\n", "from astropy.table import Table\n", "\n", "hdulist = fits.open('kplr007198959-2009259160929_llc.fits')\n", "data = Table(hdulist[1].data)\n", "df = data.to_pandas()[['TIME', 'SAP_FLUX', 'SAP_FLUX_ERR']]\n", "df = df.dropna()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def compute_models(N):\n", " for nterms in range(1, N + 1):\n", " ls = LombScargle(df['TIME'], df['SAP_FLUX'], df['SAP_FLUX_ERR'], nterms=nterms)\n", " freq, power = ls.autopower(minimum_frequency=0,\n", " maximum_frequency=8)\n", " yield ls, freq, power\n", " \n", "results = list(compute_models(3))\n", "\n", "_, freq, power = results[0]\n", "best_freq = freq[np.argmax(power)]" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0oAAAFCCAYAAADPFi2pAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(10, 3))\n", "gs = plt.GridSpec(3, 2, wspace=0.05, hspace=0)\n", "\n", "ax = fig.add_subplot(gs[:, 0])\n", "phase = (df['TIME'] * best_freq) % 1 - np.random.randint(-1, 2, df.shape[0])\n", "flux = df['SAP_FLUX'] / 1E6\n", "\n", "ax.plot(phase, flux.values, 'ok', alpha=0.1, markersize=2, rasterized=True)\n", "\n", "phase_fit = np.linspace(-1, 2, 200)\n", "colors=['black', '#444444', '#888888']\n", "for model, color in zip(results, colors):\n", " model = model[0]\n", " y_fit = model.model(phase_fit / best_freq, best_freq) / 1E6\n", " ax.plot(phase_fit, y_fit, '-', lw=2, color=color,\n", " label='n={0}'.format(model.nterms))\n", "ax.set(xlim=(-0.5, 1.5),\n", " xlabel='phase', ylabel='SAP flux ($10^6 e^-/s$)')\n", "ax.legend(title=None)\n", "\n", "ax = [fig.add_subplot(gs[i, 1]) for i in range(3)]\n", "\n", "for axi, model in zip(ax, results):\n", " ls, freq, power = model\n", " axi.plot(freq, power, '-k', rasterized=True)\n", " axi.set(ylim=(-0.05, 1))\n", " axi.yaxis.set_major_locator(plt.MultipleLocator(0.25))\n", " axi.yaxis.set_major_formatter(plt.NullFormatter())\n", " axi.text(7.8, 0.9, 'n={0}'.format(ls.nterms),\n", " ha='right', va='top', size=12)\n", " \n", "for axi in ax[:-1]:\n", " axi.xaxis.set_major_formatter(plt.NullFormatter())\n", "ax[-1].set_xlabel(r'Frequency (${\\rm days}^{-1}$)')\n", " \n", "fig.suptitle('Multi-term Periodograms for Kepler object ID 007198959', size=12)\n", "\n", "fig.savefig('fig21_kepler_multiterm.pdf')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## LINEAR" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
tmagmagerr
052650.43454515.9690.035
152650.44845016.0360.039
252650.46242015.9900.035
352650.47648516.0270.035
452650.49044315.6750.030
\n", "
" ], "text/plain": [ " t mag magerr\n", "0 52650.434545 15.969 0.035\n", "1 52650.448450 16.036 0.039\n", "2 52650.462420 15.990 0.035\n", "3 52650.476485 16.027 0.035\n", "4 52650.490443 15.675 0.030" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import pandas as pd\n", "data = pd.read_csv('LINEAR_11375941.csv')\n", "data.head()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def compute_models(N):\n", " for nterms in range(1, N + 1):\n", " ls = LombScargle(data['t'].values, data['mag'].values, data['magerr'].values, nterms=nterms)\n", " freq, power = ls.autopower(minimum_frequency=24. / 12,\n", " maximum_frequency=24. / 1)\n", " yield ls, freq, power\n", " \n", "results = list(compute_models(3))\n", "\n", "_, freq, power = results[0]\n", "best_freq = freq[np.argmax(power)]" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "2.5801481945224123" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "24. / best_freq" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA04AAAFCCAYAAADG/Y3TAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nREREREQK/B82A/HyLE+cKQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(10, 3))\n", "gs = plt.GridSpec(3, 2, wspace=0.05, hspace=0)\n", "\n", "ax = fig.add_subplot(gs[:, 0])\n", "phase = (data['t'].values * best_freq) % 1\n", "mag = data['mag'].values\n", "magerr = data['magerr'].values\n", "\n", "for offset in [-1, 0, 1]:\n", " ax.errorbar(phase + offset, mag, magerr, fmt='ok', ecolor='gray', capsize=0,\n", " alpha=0.2, markersize=2, rasterized=True)\n", "\n", "phase_fit = np.linspace(-1, 2, 200)\n", "colors=['black', '#444444', '#888888']\n", "for model, color in zip(results, colors):\n", " model = model[0]\n", " y_fit = model.model(phase_fit / best_freq, best_freq)\n", " ax.plot(phase_fit, y_fit, '-', lw=2, color=color,\n", " label='n={0}'.format(model.nterms))\n", "ax.set(xlim=(-0.5, 1.5), ylim=(16.2, 15.5),\n", " xlabel='phase', ylabel='mag')\n", "ax.legend(title=None, loc='upper center')\n", "\n", "ax = [fig.add_subplot(gs[i, 1]) for i in range(3)]\n", "\n", "for axi, model in zip(ax, results):\n", " ls, freq, power = model\n", " axi.plot(freq, power, '-k', rasterized=True)\n", " axi.set(xlim=(2, 24), ylim=(-0.05, 1))\n", " axi.yaxis.set_major_locator(plt.MultipleLocator(0.25))\n", " axi.yaxis.set_major_formatter(plt.NullFormatter())\n", " axi.text(23.8, 0.9, 'n={0}'.format(ls.nterms),\n", " ha='right', va='top', size=12)\n", " \n", "for axi in ax[:-1]:\n", " axi.xaxis.set_major_formatter(plt.NullFormatter())\n", "ax[-1].set_xlabel(r'Frequency (${\\rm days}^{-1}$)')\n", " \n", "fig.suptitle('Multi-term Periodograms for LINEAR object ID 11375941', size=12)\n", "\n", "fig.savefig('fig22_LINEAR_multiterm.pdf')" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3.5", "language": "python", "name": "python3.5" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.1" } }, "nbformat": 4, "nbformat_minor": 0 }