Abstract
We present the theoretical solution for eclipsing binaries with a solar-like pulsator by combining the asteroseismic scaling relations and the two-body dynamic model. 98 eclipsing systems with solar-like oscillations are selected from the solar-like pulsator catalogue assembled using the Kepler data and the Kepler eclipsing binary catalogue. Five of these systems with clear primary and secondary eclipses are eventually chosen to be analysed in detail after examining at the pixel level to avoid contaminations. We first separate the oscillating signals and the eclipsing signals mixed in each light curve, and then apply asteroseismic analysis and binary modelling. Finally, we obtain absolute masses, radii, and orbital elements of both components for KIC 4054905, 9153621, and 10074700. The data processing procedures and the parameter analysis in this paper alleviate the requirements of radial velocity observations.
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