A Bayesian approach to scaling relations for amplitudes of solar-like oscillations in Kepler stars

Abstract

We investigate different amplitude scaling relations adopted for the asteroseismology of stars that show solar-like oscillations. Amplitudes are among the most challenging asteroseismic quantities to handle because of the large uncertainties that arise in measuring the background level in the star's power spectrum. We present results computed by means of a Bayesian inference on a sample of 1640 stars observed with Kepler, spanning from main sequence to red giant stars, for 12 models used for amplitude predictions and exploiting recently well-calibrated effective temperatures from SDSS photometry. We test the candidate amplitude scaling relations by means of a Bayesian model comparison. We find the model having a separate dependence upon the mass of the stars to be largely the most favored one. The differences among models and the differences seen in their free parameters from early to late phases of stellar evolution are also highlighted.

17 pages, 35 figures, 11 tables, accepted for publication in MNRAS

References in corpus (47)

• Bayes in the sky: Bayesian inference and model selection in cosmology
• Kepler Mission Design, Realized Photometric Performance, and Early Science
• Kepler Input Catalog: Photometric Calibration and Stellar Classification
• An absolutely calibrated effective temperature scale from the InfraRed Flux Method
• Kepler Asteroseismology Program: Introduction and First Results
• Testing Scaling Relations for Solar-Like Oscillations from the Main Sequence to Red Giants using Kepler Data
• Asteroseismology of old open clusters with Kepler: direct estimate of the integrated RGB mass loss in NGC6791 and NGC6819
• Initial Characteristics of Kepler Long Cadence Data For Detecting Transiting Planets
• Ensemble Asteroseismology of Solar-Type Stars with the NASA Kepler Mission
• Initial Characteristics of Kepler Short Cadence Data
• Preparation of Kepler lightcurves for asteroseismic analyses
• A Revised Effective Temperature Scale for the Kepler Input Catalog
• Solar-like oscillations in alpha Centauri B
• The relation between $\Delta \nu$ and ${\nu }_{max}$ for solar-like oscillations
• Red-giant seismic properties analyzed with CoRoT
• Characterization of the power excess of solar-like oscillations in red giants with Kepler
• Asteroseismology of red giants from the first four months of Kepler data: Global oscillation parameters for 800 stars
• Asteroseismology of the open clusters NGC 6791, NGC 6811, and NGC 6819 from nineteen months of Kepler photometry
• Solar-like Oscillations (Invited Review)
• 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
• The amplitude of solar oscillations using stellar techniques
• Amplitudes of solar-like oscillations: a new scaling relation
• Excitation of solar-like oscillations across the HR diagram
• Bayesian peak-bagging of solar-like oscillators using MCMC: A comprehensive guide
• Solar-like oscillations in the G2 subgiant beta Hydri from dual-site observations
• Global asteroseismic properties of solar-like oscillations observed by Kepler : A comparison of complementary analysis methods
• Intrinsic photometric characterisation of stellar oscillations and granulation. Solar reference values and CoRoT response functions
• Visibilities and bolometric corrections for stellar oscillation modes observed by Kepler
• Mode lifetimes of stellar oscillations - Implications for asteroseismology
• Amplitudes and lifetimes of solar-like oscillations observed by CoRoT* Red-giant versus main-sequence stars
• Asteroseismology from multi-month Kepler photometry: the evolved Sun-like stars KIC 10273246 and KIC 10920273
• Oscillation mode linewidths of main-sequence and subgiant stars observed by Kepler
• Detection of solar-like oscillations from Kepler photometry of the open cluster NGC 6819
• Solar-like oscillations in KIC11395018 and KIC11234888 from 8 months of Kepler data
• Amplitudes of solar-like oscillations: constraints from red giants in open clusters observed by Kepler
• Damping rates of solar-like oscillations across the HR diagram. Theoretical calculations confronted to CoRoT and Kepler observations
• Solar-like oscillations and activity in Procyon: A comparison of the 2007 MOST and ground-based radial velocity campaigns
• Toward a New Kind of Asteroseismic Grid Fitting
• Detection of solar-like oscillations in the G5 subgiant mu-Herculis
• Photometric Oscillations of Low Luminosity Red Giant Stars
• Solar-like oscillations in the G9.5 subgiant beta Aquilae
• The CoRoT target HD 49933: 2- Comparison of theoretical mode amplitudes with observations
• Acoustic oscillations in stars near the tip of the red giant branch
• Amplitudes of solar-like oscillations in red-giant stars: Evidences for non-adiabatic effects using CoRoT observations
• Amplitudes of solar p modes: modelling of the eddy time-correlation function
• Measurement errors and scaling relations in astrophysics: a review

Cited by in corpus (53)

• The connection between stellar granulation and oscillation as seen by the Kepler mission
• Standing on the shoulders of Dwarfs: the $Kepler$ asteroseismic LEGACY sample I - oscillation mode parameters
• Asteroseismology of 16000 Kepler Red Giants: Global Oscillation Parameters, Masses, and Radii
• Asteroseismology of solar-type stars
• Giant star seismology
• Pulsating red giant stars in eccentric binary systems discovered from Kepler space-based photometry
• The asteroseismic potential of TESS: exoplanet-host stars
• DIAMONDS: a new Bayesian Nested Sampling tool. Application to Peak Bagging of solar-like oscillations
• Stroemgren survey for Asteroseismology and Galactic Archaeology: let the SAGA begin
• Bayesian peak bagging analysis of 19 low-mass low-luminosity red giants observed with Kepler
• A Hot Saturn Orbiting An Oscillating Late Subgiant Discovered by TESS
• Theoretical power spectra of mixed modes in low mass red giant stars
• Metallicity effect on stellar granulation detected from oscillating red giants in open clusters
• Limits on surface gravities of Kepler planet-candidate host stars from non-detection of solar-like oscillations
• Internal rotation of 13 low-mass low-luminosity red giants in the Kepler field
• Astrophysical Insights into Radial Velocity Jitter from an Analysis of 600 Planet-search Stars
• Prospects for Galactic and stellar astrophysics with asteroseismology of giant stars in the $TESS$ Continuous Viewing Zones and beyond
• KIC 9246715: The Double Red Giant Eclipsing Binary With Odd Oscillations
• The K2 Galactic Archaeology Program Data Release 3: Age-abundance patterns in C1-C8 and C10-C18
• Asteroseismology of 36 \emph{Kepler} subgiants -- I. Oscillation frequencies, linewidths and amplitudes
• Amplitude and lifetime of radial modes in red giant star spectra observed by Kepler
• Spectroscopic and seismic analysis of red giants in eclipsing binaries discovered by Kepler
• The PLATO Solar-like Light-curve Simulator: A tool to generate realistic stellar light-curves with instrumental effects representative of the PLATO mission
• Mitigating the mass dependence in the $\Delta \nu$ scaling relation of red-giant stars
• M-Dwarf Fast Rotators and the Detection of Relatively Young Multiple M-Star Systems
• Asteroseismic stellar activity relations
• Magnetic activity evolution of solar-like stars: I. S_ph-Age relation derived from Kepler observations
• Bolometric corrections of stellar oscillation amplitudes as observed by the Kepler, CoRoT, and TESS missions
• Fast and Automated Peak Bagging with DIAMONDS (FAMED)
• Effect of the exoplanet magnetic field topology on its magnetospheric radio emission
• Stellar pulsation and granulation as noise sources in exoplanet transit spectroscopy in the ARIEL space mission
• Predicting Granulation "Flicker" and Radial Velocity "Jitter" from Spectroscopic Observables
• Detection of Solar-Like Oscillations, Observational Constraints, and Stellar Models for $\theta$ Cyg, the Brightest Star Observed by the {\it Kepler} Mission
• PlatoSim: An end-to-end PLATO camera simulator for modelling high-precision space-based photometry
• Expanding the frontiers of cool-dwarf asteroseismology with ESPRESSO. Detection of solar-like oscillations in the K5 dwarf $\epsilon$ Indi
• BESTP -- An Automated Bayesian Modeling Tool for Asteroseismology
• The lost sunspot cycle: New support from Be10 measurements
• On the origin of the dichotomy of stellar activity cycles
• A Distant Mirror: Solar Oscillations Observed on Neptune by the Kepler K2 Mission
• Fundamental properties of solar-like oscillating stars from frequencies of minimum $\Delta \nu$: I. Model computations for solar composition
• Luminaries in the Sky: The TESS Legacy Sample of Bright Stars. I. Asteroseismic detections in naked-eye main-sequence and sub-giant solar-like oscillators
• On the current solar magnetic activity in the light of its behaviour during the Holocene
• Robo-AO Kepler Asteroseismic Survey. I. Adaptive optics imaging of 99 asteroseismic Kepler dwarfs and subgiants
• Searching for solar-like oscillations in pre-main sequence stars using APOLLO
• Asteroseismic analysis of 15 solar-like oscillating evolved stars
• Two's a crowd? Characterising the effect of photometric contamination on the extraction of the global asteroseismic parameter ${\nu }_{\text{max}}$ in red-giant binaries
• Acoustic oscillations and dynamo action in the G8 sub-giant EK Eri
• MOCKA -- A PLATO mock asteroseismic catalogue: Simulations for gravity-mode oscillators
• Tracking Advanced Planetary Systems (TAPAS) with HARPS-N VII. Elder suns with low-mass companions
• 2MASS J10274572+0629104: The very short period young M6 Dwarf Binary System identified in K2 data
• Stellar oscillations - the adiabatic case
• Asteroseismic Data Analysis with DIAMONDS
• Peak Bagging of red giant stars observed by Kepler: first results with a new method based on Bayesian nested sampling