Simultaneous binary and asteroseismic modelling of the Kepler system KIC 10661783 with the $\delta$ Scuti component

TL;DR

This paper models the Kepler binary system KIC 10661783, combining binary and asteroseismic analysis to understand its pulsations and evolution, using modified opacity data to match observed frequency spectra.

Contribution

It introduces a combined binary and asteroseismic modeling approach with modified opacity tables to reproduce observed pulsation spectra and system parameters.

Findings

750 frequency peaks identified in the light curve

Mode instabilities achieved by modifying opacity tables

Evolutionary models successfully match observed system parameters

Abstract

We present the results of analysis and modelling of the eclipsing binary system, KIC 10661783. The Fourier analysis of the Kepler light curve, corrected for the binary effects, reveals 750 frequency peaks in both p and g-mode regions. Those with the highest amplitudes concentrate in the range of 20-30 d$^{-1}$. To reproduce observed spectrum of frequencies we construct seismic models accounting for the mode instability. In order to obtain instabilities in the g-mode regime we modify the opacity tables data near the Z-bump. In order to reproduce system parameters, we construct evolutionary models including binary evolution.