Testing scaling relations for solar-like oscillations from the main sequence to red giants using Kepler data

Using evolutionary models, we test asteroseismic scaling relations for the frequency of maximum power (Vmax), the large frequency separation (∆V), and oscillation amplitudes. We show that the difference of the ∆V-Vmax relation for unevolved and evolved stars can be explained by different distributions in effective temperature and stellar mass, in agreement with what is expected from scaling relations.

For oscillation amplitudes, we show that neither (L/M) s scaling nor the revised scaling relation by Kjeldsen & Bedding is accurate for red-giant stars, and demonstrate that a revised scaling relation with a separate luminosity-mass dependence can be used to calculate amplitudes from the main sequence to red giants to a precision of ∼25%. The residuals show an offset particularly for unevolved stars, suggesting that an additional physical dependency is necessary to fully reproduce the observed amplitudes.