Asteroseismic masses, ages, and core properties of $\gamma$ Doradus stars using gravito-inertial dipole modes and spectroscopy

Abstract

The asteroseismic modelling of period spacing patterns from gravito-inertial modes in stars with a convective core is a high-dimensional problem. We utilise the measured period spacing pattern of prograde dipole gravity modes (acquiring ${\Pi }_0$), in combination with the effective temperature ($T_{\mathrm{eff}}$) and surface gravity ($\log g$) derived from spectroscopy, to estimate the fundamental stellar parameters and core properties of 37 $\gamma$Doradus ($\gamma$Dor) stars whose rotation frequency has been derived from $\text{Kepler}$ photometry. We make use of two 6D grids of stellar models, one with step core overshooting and one with exponential core overshooting, to evaluate correlations between the three observables ${\Pi }_0$, $T_{\mathrm{eff}}$, and $\log g$ and the mass, age, core overshooting, metallicity, initial hydrogen mass fraction and envelope mixing. We provide multivariate linear model recipes relating the stellar parameters to be estimated to the three observables (${\Pi }_0$, $T_{\mathrm{eff}}$, $\log g$). We estimate the (core) mass, age, core overshooting and metallicity of $\gamma$Dor stars from an ensemble analysis and achieve relative uncertainties of $\sim 10$ per cent for the parameters. The asteroseismic age determination allows us to conclude that efficient angular momentum transport occurs already early on during the main sequence. We find that the nine stars with observed Rossby modes occur across almost the entire main-sequence phase, except close to core-hydrogen exhaustion. Future improvements of our work will come from the inclusion of more types of detected modes per star, larger samples, and modelling of individual mode frequencies.

Accepted for publication in MNRAS

References in corpus (16)

• The Transiting Exoplanet Survey Satellite
• Asteroseismic measurement of surface-to-core rotation in a main sequence A star, KIC 11145123
• The interior rotation of a sample of gamma Doradus stars from ensemble modelling of their gravity mode period spacings
• Angular momentum transport by heat-driven g-modes in slowly pulsating B stars
• Asteroseismic measurement of slow, nearly-uniform surface-to-core rotation in the main sequence F star KIC 9244992
• An asteroseismic study of the beta Cephei star theta Ophiuchi: constraints on global stellar parameters and core overshooting
• A new asteroseismic diagnostic for internal rotation in $\gamma$ Doradus stars
• Gravito-inertial and pressure modes detected in the B3 IV CoRoT target HD 43317
• On the Chemical Mixing Induced by Internal Gravity Waves (IGW)
• The dependence of convective core overshooting on stellar mass: semi-empirical determination using the diffusive approach with two different element mixtures
• Constraining the efficiency of angular momentum transport with asteroseismology of red giants: the effect of stellar mass
• Detecting non-uniform period spacings in the Kepler photometry of gamma Doradus stars: methodology and case studies
• The interior angular momentum of core hydrogen burning stars from gravity-mode oscillations
• On the use of the Fourier Transform to determine the projected rotational velocity of line-profile variable B stars
• Period-luminosity relations of fast-rotating B-type stars in the young open cluster NGC3766
• Massive Star Asteroseismology in Action

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