Constraining Tidal Quality Factor using Spin Period in Eclipsing Binaries

Abstract

Evolution of binary objects under the influence of tides drastically affects the expected observational properties of the system. With the discovery of a large number of close-in hot Jupiter systems and eclipsing binaries from missions such as Kepler and TESS, it has become imperative to understand the extent of tidal influence on their formation and observed properties. In the case of binary systems, an efficient tidal dissipation can lead to either spin up or spin down of the stars and/or spin-orbit synchronization, depending upon the exchange of angular momentum between the star and the orbit. We combine the eclipsing binary systems from the Kepler mission with stellar and orbital parameters available in the literature to create a catalog of 41 eclipsing binaries suitable for analysis of tidal dissipation. Empirically, the efficiency of tidal dissipation is parameterized using a modified Tidal Quality Factor($Q_{\star }^{{}^{\prime }}$). We find constraints on $Q_{\star }^{{}^{\prime }}$ using the observed rotation period of the primary star in the eclipsing binary systems. We calculate detailed evolutions of binary systems under the combined influence of tides, stellar evolution, and loss of stellar angular momentum to magnetic winds, and perform Markov Chain Monte Carlo simulations to account for the uncertainties in the observed data. Our analysis shows that ${\log }_{10}{Q}_{\star }^{{}^{\prime }}=7.818\pm 0.035$ can reproduce the observed primary star spin in almost all systems in our sample.

This article has been accepted for publication in MNRAS Published by Oxford University Press on behalf of the Royal Astronomical Society. https://academic.oup.com/mnras/advance-article-abstract/doi/10.1093/mnras/stac203/6517458

References in corpus (16)

• Modules for Experiments in Stellar Astrophysics (MESA)
• Measuring the rotation period distribution of field M-dwarfs with Kepler
• The Mass-Dependence of Angular Momentum Evolution in Sun-Like Stars
• Improved angular momentum evolution model for solar-like stars II. Exploring the mass dependence
• K2 rotation periods for low-mass Hyads and a quantitative comparison of the distribution of slow rotators in the Hyades and Praesepe
• The Monitor project: Rotation of low-mass stars in the open cluster NGC 2516
• A Temporary Epoch of Stalled Spin-Down for Low-Mass Stars: Insights from NGC 6811 with Gaia and Kepler
• Heartbeat Stars, Tidally Excited Oscillations, and Resonance Locking
• Tidal dissipation in evolving low-mass and solar-type stars with predictions for planetary orbital decay
• Tidal Synchronization and Differential Rotation of Kepler Eclipsing Binaries
• An Observational Study of Tidal Synchronization in Solar-Type Binary Stars in the Open Clusters M35 and M34
• Tidal dissipation in rotating low-mass stars and implications for the orbital evolution of close-in planets I. From the PMS to the RGB at solar metallicity
• Convective turbulent viscosity acting on equilibrium tidal flows: new frequency scaling of the effective viscosity
• POET: A Model for (P)lanetary (O)rbital (E)volution due to (T)ides on Evolving Stars
• Tidal dissipation in rotating low-mass stars and implications for the orbital evolution of close-in massive planets. II. Effect of stellar metallicity
• Convection physics and tidal synchronization of the subdwarf binary NY Virginis