Modelling the Autocovariance of the Power Spectrum of a Solar-Type Oscillator

Abstract

Asteroseismology is able to conduct studies on the interiors of solar-type stars from the analysis of stellar acoustic spectra. However, such an analysis process often has to rely upon subjective choices made throughout. A recurring problem is to determine whether a signal in the acoustic spectrum originates from a radial or a dipolar oscillation mode. In order to overcome this problem, we present a procedure for modelling and fitting the autocovariance of the power spectrum which can be used to obtain global seismic parameters of solar-type stars, doing so in an automated fashion without the need to make subjective choices. From the set of retrievable global seismic parameters we emphasize the mean small frequency separation and, depending on the intrinsic characteristics of the power spectrum, the mean rotational frequency splitting. Since this procedure is automated, it can serve as a useful tool in the analysis of the more than one thousand solar-type stars expected to be observed as part of the Kepler Asteroseismic Investigation (KAI). We apply the aforementioned procedure to simulations of the Sun. Assuming different apparent magnitudes, we address the issues of how accurately and how precisely we can retrieve the several global seismic parameters were the Sun to be observed as part of the KAI.

arXiv comment10 pages, 8 figures, accepted for publication in MNRAS

References in corpus (23)

• Parallel Tempering: Theory, Applications, and New Perspectives
• Kepler Asteroseismology Program: Introduction and First Results
• Determining global parameters of the oscillations of solar-like stars
• Solar-like oscillations in low-luminosity red giants: first results from Kepler
• On detecting the large separation in the autocorrelation of stellar oscillation times series
• Hybrid gamma Doradus - delta Scuti pulsators: New insights into the physics of the oscillations from Kepler observations
• Radius determination of solar-type stars using asteroseismology: What to expect from the Kepler mission
• The asteroseismic potential of Kepler: first results for solar-type stars
• The amplitude of solar oscillations using stellar techniques
• The Octave (Birmingham - Sheffield Hallam) automated pipeline for extracting oscillation parameters of solar-like main-sequence stars
• Characterising stellar micro-variability for planetary transit searches
• Rotation speed and stellar axis inclination from p modes: How CoRoT would see other suns
• First Kepler results on RR Lyrae stars
• A fresh look at the seismic spectrum of HD49933: analysis of 180 days of CoRoT photometry
• Discovery of a red giant with solar-like oscillations in an eclipsing binary system from Kepler space-based photometry
• Frequency, splitting, linewidth and amplitude estimates of low-l p modes of alpha Cen A: analysis of WIRE photometry
• Challenges for asteroseismic analysis of Sun-like stars
• Detection of solar-like oscillations from Kepler photometry of the open cluster NGC 6819
• Measuring stellar oscillations using equivalent widths of absorption lines
• On deriving p-mode parameters for inclined solar-like stars
• Sounding stellar cycles with Kepler - I. Strategy for selecting targets
• AsteroFLAG: first results from hare-and-hounds Exercise 1
• Asteroseismology of solar-type stars: signatures of convective and/or helium cores

Cited by in corpus (25)

• Testing Scaling Relations for Solar-Like Oscillations from the Main Sequence to Red Giants using Kepler Data
• Asteroseismic fundamental properties of solar-type stars observed by the NASA Kepler Mission
• An ancient extrasolar system with five sub-Earth-size planets
• Evidence for the impact of stellar activity on the detectability of solar-like oscillations observed by Kepler
• Predicting the detectability of oscillations in solar-type stars observed by Kepler
• Kepler-21b: A 1.6REarth Planet Transiting the Bright Oscillating F Subgiant Star HD 179070
• Bayesian peak-bagging of solar-like oscillators using MCMC: A comprehensive guide
• Global asteroseismic properties of solar-like oscillations observed by Kepler : A comparison of complementary analysis methods
• A large sample of calibration stars for Gaia: log g from Kepler and CoRoT
• Asteroseismology from multi-month Kepler photometry: the evolved Sun-like stars KIC 10273246 and KIC 10920273
• Solar-like oscillations in KIC11395018 and KIC11234888 from 8 months of Kepler data
• Asteroseismic diagrams from a survey of solar-like oscillations with Kepler
• Limits on surface gravities of Kepler planet-candidate host stars from non-detection of solar-like oscillations
• Sounding stellar cycles with Kepler - II. Ground-based observations
• Constructing a one-solar-mass evolutionary sequence using asteroseismic data from \textit{Kepler}
• Verification of the Kepler Input Catalog from Asteroseismology of Solar-type Stars
• Fundamental properties of five Kepler stars using global asteroseismic quantities and ground-based observations
• The Curious Case of KOI 4: Confirming Kepler's First Exoplanet
• Weighing in on the masses of retired A stars with asteroseismology: K2 observations of the exoplanet-host star HD 212771
• Detection of l=4 and l=5 modes in 12 years of solar VIRGO-SPM data --- Tests on Kepler observations of 16 Cyg A and B
• Solar cycle variations of large frequency separations of acoustic modes: Implications for asteroseismology
• A new method to detect solar-like oscillations at very low S/N using statistical significance testing
• Asteroseismology of Solar-type Stars with Kepler I: Data Analysis
• An Introduction to Data Analysis in Asteroseismology
• Asteroseismology of Solar-type stars with Kepler II: Stellar Modeling