Constraints on Tidal Quality Factor in Kepler Eclipsing Binaries using Tidal Synchronization: A Frequency-Dependent Approach

Abstract Tidal dissipation in binary systems is the primary source for synchronization and circularization of objects system. The efficiency tidal energy inside stars or planets results significant changes observed properties system often studied empirically using a parameter, commonly known as modified quality factor (${Q_{\star }^{\prime }}$). Though assumed constant, general that parameter will depend on particular wave experiencing tidally distorted object. In this work we study frequency dependence ${Q_{\star }}$ Sun-like stars. We parameterize saturating power-law obtain constraints stellar rotation period 70 eclipsing binaries by Kepler. use Bayesian analysis to account uncertainties observational data required evolution. Our shows well constrained periods >15 days, with value }}\sim 10^8$ >30 days slight suggested decrease at shorter periods. For <15 no longer tightly constrained, allowing broad range possible values overlaps obtained binaries, which point much more efficient dissipation: 10^6$.