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

TL;DR

This paper analyzes Kepler data of 76 solar-like stars to construct asteroseismic diagrams, providing insights into stellar properties and aiding mode identification in F stars.

Contribution

It introduces a comprehensive ensemble asteroseismic analysis using Kepler data, constructing key diagrams and confirming relationships that improve stellar characterization.

Findings

Constructed C-D and iagrams for 76 stars

Confirmed iagram's effectiveness in constraining stellar mass and age

Validated iagram's relationship with T_eff for mode identification

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 (\Delta \nu), the small frequency separation between modes of l=0 and l=2 (\delta \nu_02), and the dimensionless offset (\epsilon). These measurements allow us to construct asteroseismic diagrams, namely the so-called C-D diagram of \delta \nu_02 versus \Delta \nu, and the recently re-introduced {\epsilon} 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 {\epsilon} and T_eff that allows for the unambiguous determination of radial order and should help resolve the problem of mode identification in F stars.