{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# KIC 8462852 (Boyajian's Star) spectroscopic follow up\n", "## [Brett Morris](mailto:bmmorris@uw.edu) and Jim Davenport\n", "#### Apache Point Observatory ARC 3.5 m telescope, ARCES echelle spectrograph\n", "\n", "This notebook contains code for retrieving my [APO ARC 3.5 m/ARCES](http://www.apo.nmsu.edu/arc35m/Instruments/ARCES/) (R~31,500) spectrum of Boyajian's Star (KIC 8462852) at 2017-05-20 10:34 UTC. It downloads the wavelength-calibrated spectra from my webpage and caches them locally, then normalizes the continuum using the spectroscopic standard [BD +28 4211](https://www.eso.org/sci/observing/tools/standards/spectra/bd28d4211.html), and shifts the wavelengths to the star's rest frame. The telluric standard star [HR 7916](http://simbad.harvard.edu/simbad/sim-basic?Ident=HR7916&submit=SIMBAD+search) (spectral type F2Vn) is also included. \n", "\n", "\"Light\n", "\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING: AstropyDeprecationWarning: astropy.utils.compat.odict.OrderedDict is now deprecated - import OrderedDict from the collections module instead [astropy.utils.compat.odict]\n" ] } ], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import astropy.units as u\n", "from astropy.time import Time\n", "from toolkit import EchelleSpectrum" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Download and cache spectra:" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING: AstropyDeprecationWarning: astropy.utils.compat.odict.OrderedDict is now deprecated - import OrderedDict from the collections module instead [astropy.utils.compat.odict]\n" ] } ], "source": [ "kic8462852_1_url = 'http://staff.washington.edu/bmmorris/docs/KIC8462852.0001.wfrmcpc.fits'\n", "kic8462852_2_url = 'http://staff.washington.edu/bmmorris/docs/KIC8462852.0003.wfrmcpc.fits'\n", "kic8462852_3_url = 'http://staff.washington.edu/bmmorris/docs/KIC8462852.0065.wfrmcpc.fits'\n", "\n", "spectroscopic_standard_url = 'http://staff.washington.edu/bmmorris/docs/BD28_4211.0034.wfrmcpc.fits'\n", "telluric_standard_url = 'http://staff.washington.edu/bmmorris/docs/HR7916.0002.wfrmcpc.fits'\n", "\n", "target_spectrum_1 = EchelleSpectrum.from_fits_url(kic8462852_1_url)\n", "target_spectrum_2 = EchelleSpectrum.from_fits_url(kic8462852_2_url)\n", "target_spectrum_3 = EchelleSpectrum.from_fits_url(kic8462852_3_url)\n", "\n", "spectroscopic_standard = EchelleSpectrum.from_fits_url(spectroscopic_standard_url)\n", "telluric_standard = EchelleSpectrum.from_fits_url(telluric_standard_url)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Fit a polynomial of order ``polynomial_order`` to each spectral order of the spectrum of ``spectroscopic_standard``, then normalize each spectral order by that polynomial to remove the blaze function." ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": true }, "outputs": [], "source": [ "only_orders = np.arange(len(target_spectrum_1.spectrum_list))\n", "target_spectrum_1.continuum_normalize(spectroscopic_standard,\n", " polynomial_order=10,\n", " only_orders=only_orders,\n", " plot_masking=False)\n", "\n", "only_orders = np.arange(len(target_spectrum_2.spectrum_list))\n", "target_spectrum_2.continuum_normalize(spectroscopic_standard,\n", " polynomial_order=10,\n", " only_orders=only_orders,\n", " plot_masking=False)\n", "\n", "only_orders = np.arange(len(target_spectrum_3.spectrum_list))\n", "target_spectrum_3.continuum_normalize(spectroscopic_standard,\n", " polynomial_order=10,\n", " only_orders=only_orders,\n", " plot_masking=False)\n", "\n", "telluric_standard.continuum_normalize(spectroscopic_standard,\n", " polynomial_order=10,\n", " only_orders=only_orders,\n", " plot_masking=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Calculate the wavelength offset necessary to shift the spectra into the star's rest frame, then shift the wavelengths accordingly." ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false }, "outputs": [], "source": [ "rv_shifts = u.Quantity([target_spectrum_1.rv_wavelength_shift(order)\n", " for order in only_orders])\n", "median_rv_shift = np.median(rv_shifts)\n", "target_spectrum_1.offset_wavelength_solution(median_rv_shift)\n", "\n", "rv_shifts = u.Quantity([target_spectrum_2.rv_wavelength_shift(order)\n", " for order in only_orders])\n", "median_rv_shift = np.median(rv_shifts)\n", "target_spectrum_2.offset_wavelength_solution(median_rv_shift)\n", "\n", "rv_shifts = u.Quantity([target_spectrum_3.rv_wavelength_shift(order)\n", " for order in only_orders])\n", "median_rv_shift = np.median(rv_shifts)\n", "target_spectrum_3.offset_wavelength_solution(median_rv_shift)\n", "\n", "rv_shifts = u.Quantity([telluric_standard.rv_wavelength_shift(order)\n", " for order in only_orders])\n", "median_rv_shift = np.median(rv_shifts)\n", "telluric_standard.offset_wavelength_solution(median_rv_shift)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Download a PHOENIX model atmosphere ([Husser 2013](https://arxiv.org/abs/1303.5632)) for comparison with Boyajian's star, with $T_{eff}=6800$ K and $\\log g = 4.0$." ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from toolkit import get_phoenix_model_spectrum\n", "\n", "phoenix_6800_40 = get_phoenix_model_spectrum(6800, 4.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Define some convenience functions for plotting spectral features:" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def get_nearest_order(feature_wavelength):\n", " return np.argmin([np.abs(feature_wavelength - target_spectrum_1.get_order(i).wavelength.mean().value) \n", " for i in range(len(target_spectrum_1.spectrum_list))])\n", "\n", "def plot_spectral_feature(spectrum, center_wavelength, width_angstroms, \n", " phoenix_model=phoenix_6800_40, plot_model=True,\n", " label=None, title=None, ax=None, legend=True,\n", " spectrum_kwargs=None, model_kwargs=None):\n", " \"\"\"\n", " Plot the spectrum, centered on wavelength ``center_wavelength``, with width\n", " ``width_angstroms``.\n", " \"\"\"\n", "\n", " if ax is None:\n", " ax = plt.gca()\n", " \n", " if title is None:\n", " title = 'APO/ARCES (Brett Morris)'\n", " \n", " if spectrum_kwargs is None:\n", " spectrum_kwargs = dict(lw=1, color='k')\n", " \n", " if model_kwargs is None:\n", " model_kwargs = dict(label='PHOENIX model', color='r', alpha=0.5)\n", "\n", " feature_order = spectrum.get_order(get_nearest_order(center_wavelength))\n", " normed_flux = feature_order.masked_flux / np.median(feature_order.masked_flux)\n", " ax.plot(feature_order.masked_wavelength, normed_flux,\n", " label=spectrum.name, **spectrum_kwargs)\n", " \n", " model_already_plotted = any([line.get_label().startswith('PHOENIX')\n", " for line in ax.get_lines()])\n", " \n", " if plot_model and not model_already_plotted:\n", " model_wavelength_range = ((phoenix_6800_40.wavelength.value < center_wavelength + width_angstroms/2) & \n", " (phoenix_6800_40.wavelength.value > center_wavelength - width_angstroms/2))\n", " normed_model_flux = phoenix_6800_40.flux / np.median(phoenix_6800_40.flux)\n", " normed_model_flux *= (np.median(normed_flux) / \n", " normed_model_flux[model_wavelength_range].max())\n", " ax.plot(phoenix_6800_40.wavelength, normed_model_flux,\n", " **model_kwargs)\n", "\n", " ax.set_title(title)\n", " ax.set_xlabel('Wavelength [Angstrom]')\n", " ax.set_ylabel('Flux')\n", " ax.set_xlim([center_wavelength - width_angstroms/2, \n", " center_wavelength + width_angstroms/2])\n", " ax.set_ylim([0, 1.1*normed_flux.max()])\n", " if legend:\n", " ax.legend(fontsize=10, bbox_to_anchor=(0, 1, 1.4, 0))\n", " ax.get_xaxis().get_major_formatter().set_useOffset(False)\n", "\n", " return ax" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Date of observation (UTC): 2017-05-20 10:34:34.285000\n", "Date of observation (UTC): 2017-06-12 08:18:44.641000\n", "Date of observation (UTC): 2017-06-15 05:01:32.040000\n" ] } ], "source": [ "obs_time = Time(target_spectrum_1.header['DATE-OBS'], format='isot')\n", "print(\"Date of observation (UTC): \", obs_time.datetime)\n", "target_spectrum_1.name += \" \" + str(obs_time.datetime.date())\n", "\n", "obs_time = Time(target_spectrum_2.header['DATE-OBS'], format='isot')\n", "print(\"Date of observation (UTC): \", obs_time.datetime)\n", "target_spectrum_2.name += \" \" + str(obs_time.datetime.date())\n", "\n", "obs_time = Time(target_spectrum_3.header['DATE-OBS'], format='isot')\n", "print(\"Date of observation (UTC): \", obs_time.datetime)\n", "target_spectrum_3.name += \" \" + str(obs_time.datetime.date())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the NaD absorption features." ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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KrxibK8fOi9HxdNtdjpfn9wdn8BzLBud1SQfVpjXF7mOh7CF3BowbQe/yTzAj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\nSUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_spectral_feature(target_spectrum_1, 5892, 10, spectrum_kwargs=dict(lw=1.5, color='#36C400'))\n", "\n", "plot_spectral_feature(target_spectrum_2, 5892, 10, spectrum_kwargs=dict(lw=1.5, color='#2D0CE8'))\n", "\n", "plot_spectral_feature(target_spectrum_3, 5892, 10, spectrum_kwargs=dict(lw=1.5, color='#EA00FF'))\n", "\n", "plot_spectral_feature(telluric_standard, 5892, 10, spectrum_kwargs=dict(lw=1.5, color='#0B70E8'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the spectrum at H$\\alpha$ and H$\\beta$." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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S0lJSUlKUGFIozhLKy8vZtGkTUPcAnjRpEmazucF8NptN9j62V4QzJMLkWlNAITExsdUF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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 2, figsize=(12, 5))\n", "# H-alpha\n", "plot_spectral_feature(target_spectrum_1, 6562.3, 20, ax=ax[0], legend=False)\n", "plot_spectral_feature(target_spectrum_2, 6562.3, 20, ax=ax[0], legend=False)\n", "plot_spectral_feature(target_spectrum_3, 6562.3, 20, ax=ax[0], legend=False)\n", "\n", "plot_spectral_feature(telluric_standard, 6562.3, 20, ax=ax[0],\n", " spectrum_kwargs=dict(lw=1, color='b'), legend=False,\n", " title=r'H$\\alpha$')\n", "\n", "# H-beta\n", "plot_spectral_feature(target_spectrum_1, 4861, 20, ax=ax[1], legend=False)\n", "plot_spectral_feature(target_spectrum_2, 4861, 20, ax=ax[1], legend=False)\n", "plot_spectral_feature(target_spectrum_3, 4861, 20, ax=ax[1], legend=False)\n", "\n", "plot_spectral_feature(telluric_standard, 4861, 20, ax=ax[1],\n", " spectrum_kwargs=dict(lw=1, color='b'), legend=True,\n", " title=r'H$\\beta$')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Fit the NaD absorption features to measure the approximate equivalent width, for comparison with [these results Jason Curtis](http://sites.psu.edu/astrowright/2016/08/31/what-could-be-going-on-with-boyajians-star-part-iii-periodic-dips-and-interstellar-sodium/) on Jason Wright's blog: equivalent width = 420 mÅ." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimization terminated successfully.\n", " Current function value: 1.109061\n", " Iterations: 4\n", " Function evaluations: 578\n" ] }, { "data": { "image/png": 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+MSptRYl33nmn+G+jImv4+3y+4oK+devWIf1noqYU4IG6qAAPraNHj9oLL7xg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\ngWhgLZAO1AUWA2cclaaLN83pJ8nLiVTHU1de6ZaCe+CBByq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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from scipy.optimize import fmin_powell\n", "\n", "def gaussian(x, amp, mean, sigma):\n", " return amp * np.exp(-0.5 * (mean - x)**2 / sigma**2)\n", "\n", "def four_gaussians(wavelength, amp1, amp2, amp3, amp4, \n", " mean1, mean2, mean3, mean4, \n", " sig1, sig2, sig3, sig4):\n", " return (1 + gaussian(wavelength, amp1, mean1, sig1) + \n", " gaussian(wavelength, amp2, mean2, sig2) + \n", " gaussian(wavelength, amp3, mean3, sig3) + \n", " gaussian(wavelength, amp4, mean4, sig4)) \n", "\n", "def chi2(params, wavelength, flux):\n", " return np.sum((four_gaussians(wavelength, *params) - flux)**2)\n", "\n", "# Get the spectral order with the NaD feature\n", "na_feature_wavelength = 5892\n", "na_order_target = target_spectrum_1.get_order(get_nearest_order(na_feature_wavelength))\n", "na_order_telluric = telluric_standard.get_order(get_nearest_order(na_feature_wavelength))\n", "\n", "# Normalize the spectrum by a low order polynomial\n", "lam = na_order_target.masked_wavelength.value\n", "flux = na_order_target.masked_flux.value / na_order_telluric.masked_flux.value\n", "continuum_params = np.polyfit(lam-lam.mean(), flux, 2)\n", "flux /= np.polyval(continuum_params, lam-lam.mean()) \n", "\n", "# Initial gaussian amplitudes, means, and standard deviations\n", "init_params = [-0.8, -0.5, -0.5, -0.4, \n", " 5889.5, 5889.2, 5895.5, 5895.2, \n", " 0.1, 0.1, 0.1, 0.1]\n", "\n", "# Minimize the chi2\n", "best_params = fmin_powell(chi2, init_params, args=(lam, flux))\n", "\n", "# Plot the results\n", "fig, ax = plt.subplots(1, 2, figsize=(12, 5))\n", "ax[0].plot(lam, flux, 'k-', lw=2, label='ARCES')\n", "ax[0].set_xlim([5888.5, 5890.5])\n", "ax[0].plot(lam, four_gaussians(lam, *best_params), 'r', label='Simple fit')\n", "ax[0].set_xlabel('Wavelength')\n", "ax[0].set_ylabel('Flux')\n", "\n", "ax[1].plot(lam, flux, 'k-', lw=2, label='ARCES')\n", "ax[1].set_xlim([5894, 5896.5])\n", "ax[1].plot(lam, four_gaussians(lam, *best_params), 'r', label='Simple fit')\n", "ax[1].set_xlabel('Wavelength')\n", "ax[1].set_ylabel('Flux')\n", "ax[1].legend(loc='lower right')\n", "\n", "fig.suptitle('NaD absorption features')\n", "\n", "for axis in ax:\n", " axis.get_xaxis().get_major_formatter().set_useOffset(False)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "NaD equivalent width (at 5889.5 A): 0.3887883297520771 Angstrom\n", "NaD equivalent width (at 5895.5 A): 0.3464204748924282 Angstrom\n" ] } ], "source": [ "from scipy.integrate import quad\n", "a = 5888.5\n", "b = 5890\n", "c = 5894.5\n", "d = 5896.5\n", "integral1, err = quad(lambda x: four_gaussians(x, *best_params), a, b)\n", "integral2, err = quad(lambda x: four_gaussians(x, *best_params), c, d)\n", "\n", "equivalent_width1 = ((b-a) - integral1)\n", "equivalent_width2 = ((d-c) - integral2)\n", "\n", "print(\"NaD equivalent width (at 5889.5 A):\", equivalent_width1, \"Angstrom\")\n", "print(\"NaD equivalent width (at 5895.5 A):\", equivalent_width2, \"Angstrom\")" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "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": "3.5.2" } }, "nbformat": 4, "nbformat_minor": 0 }