The relationship between photometric and spectroscopic oscillation amplitudes from 3D stellar atmosphere simulations

Abstract

We establish a quantitative relationship between photometric and spectroscopic detections of solar-like oscillations using ab initio, three-dimensional (3D), hydrodynamical numerical simulations of stellar atmospheres. We present a theoretical derivation as proof of concept for our method. We perform realistic spectral line formation calculations to quantify the ratio between luminosity and radial velocity amplitude for two case studies: the Sun and the red giant $\epsilon$ Tau. Luminosity amplitudes are computed based on the bolometric flux predicted by 3D simulations with granulation background modelled the same way as asteroseismic observations. Radial velocity amplitudes are determined from the wavelength shift of synthesized spectral lines with methods closely resembling those used in BiSON and SONG observations. Consequently, the theoretical luminosity to radial velocity amplitude ratios are directly comparable with corresponding observations. For the Sun, we predict theoretical ratios of 21.0 and 23.7 ppm/[m/s] from BiSON and SONG respectively, in good agreement with observations 19.1 and 21.6 ppm/[m/s]. For $\epsilon$ Tau, we predict K2 and SONG ratios of 48.4 ppm/[m/s], again in good agreement with observations 42.2 ppm/[m/s], and much improved over the result from conventional empirical scaling relations which gives 23.2 ppm/[m/s]. This study thus opens the path towards a quantitative understanding of solar-like oscillations, via detailed modelling of 3D stellar atmospheres.

arXiv comment16 pages, 7 figures, accepted for publication in MNRAS

References in corpus (44)

• The chemical composition of the Sun
• The Transiting Exoplanet Survey Satellite
• A grid of MARCS model atmospheres for late-type stars I. Methods and general properties
• The K2 Mission: Characterization and Early results
• The Indo-U.S. Library of Coude Feed Stellar Spectra
• New Grids of ATLAS9 Model Atmospheres
• Nominal values for selected solar and planetary quantities: IAU 2015 Resolution B3
• Dynamic temperature selection for parallel-tempering in Markov chain Monte Carlo simulations
• The connection between stellar granulation and oscillation as seen by the Kepler mission
• The Stagger-grid: A Grid of 3D Stellar Atmosphere Models - I. Methods and General Properties
• Standing on the shoulders of Dwarfs: the $Kepler$ asteroseismic LEGACY sample I - oscillation mode parameters
• Fundamental Parameters of 87 Stars from the Navy Precision Optical Interferometer
• Solar-like oscillations in alpha Centauri B
• Non-LTE line formation of Fe in late-type stars - III. 3D non-LTE analysis of metal-poor stars
• A Grid of 3D Stellar Atmosphere Models of Solar Metallicity: I. General Properties, Granulation and Atmospheric Expansion
• Radiative transfer with scattering for domain-decomposed 3D MHD simulations of cool stellar atmospheres
• The amplitude of solar oscillations using stellar techniques
• Non-LTE oxygen line formation in 3D hydrodynamic model stellar atmospheres
• Evidence for solar-like oscillations in beta Hydri
• Intrinsic photometric characterisation of stellar oscillations and granulation. Solar reference values and CoRoT response functions
• How realistic are solar model atmospheres?
• First Results From The Hertzsprung Song Telescope: Asteroseismology Of The G5 Subgiant Star {\Mu}Her
• Visibilities and bolometric corrections for stellar oscillation modes observed by Kepler
• Effective temperature determinations of late-type stars based on 3D non-LTE Balmer line formation
• Confirmation of solar-like oscillations in eta Bootis
• The Stagger-grid: A Grid of 3D Stellar Atmosphere Models - II. Horizontal and Temporal Averaging and Spectral Line Formation
• 'Ultimate' Information Content in Solar and Stellar Spectra: Photospheric line asymmetries and wavelength shifts
• Non-LTE analysis of K I in late-type stars
• The Stagger-grid: A grid of 3D stellar atmosphere models V. Synthetic stellar spectra and broad-band photometry
• 3D LTE spectral line formation with scattering in red giant stars
• Solar-like oscillations and activity in Procyon: A comparison of the 2007 MOST and ground-based radial velocity campaigns
• The benchmark halo giant HD 122563: CNO abundances revisited with three-dimensional hydrodynamic model stellar atmospheres
• Asteroseismology of 36 \emph{Kepler} subgiants -- I. Oscillation frequencies, linewidths and amplitudes
• Predicting radial-velocity jitter induced by stellar oscillations based on Kepler data
• Asteroseismic masses of retired planet-hosting A-stars using SONG
• Searching for solar-like oscillations in the delta Scuti star rho Puppis
• Asteroseismology of the Hyades red giant and planet host epsilon Tauri
• Bolometric corrections of stellar oscillation amplitudes as observed by the Kepler, CoRoT, and TESS missions
• Solar $p$-mode damping rates: insight from a 3D hydrodynamical simulation
• Oscillations in the Sun with SONG: Setting the scale for asteroseismic investigations
• The amplitude of solar p-mode oscillations from three-dimensional convection simulations
• Stellar turbulence and mode physics
• The signature of granulation in a solar power spectrum as seen with CO${}^5$BOLD
• Astro2020 Science White Paper: Stellar Physics and Galactic Archeology using Asteroseismology in the 2020's

Cited by in corpus (7)

• First results on RR Lyrae stars with the TESS space telescope: untangling the connections between mode content, colors and distances
• Expanding the frontiers of cool-dwarf asteroseismology with ESPRESSO. Detection of solar-like oscillations in the K5 dwarf $\epsilon$ Indi
• An extended and refined grid of 3D STAGGER model atmospheres. Processed snapshots for stellar spectroscopy
• Asteroseismology of the G8 subgiant beta Aquilae with SONG-Tenerife, SONG-Australia and TESS
• Granulation signatures in 3D hydrodynamical simulations: evaluating background model performance using a Bayesian nested sampling framework
• Granulation signatures as seen by Kepler short-cadence data. I. A decoupling between granulation and oscillation timescales for dwarfs
• Time-resolved p-mode oscillations for subgiant HD 142091 with NEID at WIYN