Asteroseismic diagrams from a survey of solar-like oscillations with Kepler

Abstract

Photometric observations made by the NASA Kepler Mission have led to a dramatic increase in the number of main-sequence and subgiant stars with detected solar-like oscillations. We present an ensemble asteroseismic analysis of 76 solar-type stars. Using frequencies determined from the Kepler time-series photometry, we have measured three asteroseismic parameters that characterize the oscillations: the large frequency separation (Δν), the small frequency separation between modes of l=0 and l=2 (δν_02), and the dimensionless offset (ε). These measurements allow us to construct asteroseismic diagrams, namely the so-called C-D diagram of δν_02 versus Δν, and the recently re-introduced ε diagram. We compare the Kepler results with previously observed solar-type stars and with theoretical models. The positions of stars in these diagrams places constraints on their masses and ages. Additionally, we confirm the observational relationship between ε and T_eff that allows for the unambiguous determination of radial order and should help resolve the problem of mode identification in F stars.

6 pages, 5 figures, accepted for publication in The Astrophysical Journal Letters