A solar-type subgiant has measured asteroseismic parameters

PHYSICS · Multi-part · Fermi University Physics · Astrophysics & Cosmology · Stellar structure, energy generation and evolution · Stellar structure, energy generation and evolution

Stars from the Inside, Ch Pulsating stars: the kappa mechanism, the Leavitt law and asteroseismology

Problem

\nu_{\max} = 2200\,\mu\mathrm{Hz}

\Delta\nu = 105\,\mu\mathrm{Hz}

and effective temperature

T_{\rm eff} = 5680\,\mathrm{K}

. Take the solar reference values

\nu_{\max,\odot} = 3090\,\mu\mathrm{Hz}

\Delta\nu_\odot = 135.1\,\mu\mathrm{Hz}

T_{{\rm eff},\odot} = 5777\,\mathrm{K}

. ((a)) Find the star's radius in solar units using the asteroseismic scaling relation. ((b)) Find the star's mass in solar units using the corresponding scaling relation.

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