The Measurement of Dynamic Tidal Contribution to Apsidal Motion in Heartbeat Star KIC 4544587

Abstract

Apsidal motion is a gradual shift in the position of periastron. The impact of dynamic tides on apsidal motion has long been debated, because the contribution could not be quantified due to the lack of high quality observations. KIC 4544587 with tidally excited oscillations has been observed by \textit{Kepler} high-precision photometric data based on long time baseline and short-cadence schema. In this paper, we compute the rate of apsidal motion that arises from the dynamic tides as $19.05\pm 1.70$ mrad yr${}^{-1}$ via tracking the orbital phase shifts of tidally excited oscillations. We also calculate the procession rate of the orbit due to the Newtonian and general relativistic contribution as $21.49\pm 2.8$ and $2.4\pm 0.06$ mrad yr${}^{-1}$, respectively. The sum of these three factors is in excellent agreement with the total observational rate of apsidal motion $42.97\pm 0.18$ mrad yr${}^{-1}$ measured by eclipse timing variations. The tidal effect accounts for about 44\% of the overall observed apsidal motion and is comparable to that of the Newtonian term. Dynamic tides have a significant contribution to the apsidal motion. The analysis method mentioned in this paper presents an alternative approach to measuring the contribution of the dynamic tides quantitatively.

arXiv comment10 pages, 5 figures, accepted by ApJ

References in corpus (27)

• A Computational Guide to Physics of Eclipsing Binaries. Paper I. Demonstrations and Perspectives
• Kepler Eclipsing Binary Stars. I. Catalog and Principal Characterization of 1879 Eclipsing Binaries in the First Data Release
• Kepler Eclipsing Binary Stars. VII. The Catalog of Eclipsing Binaries Found in the Entire Kepler Data-Set
• A Class of Eccentric Binaries with Dynamic Tidal Distortions Discovered with Kepler
• Physics of Eclipsing Binaries. V. General Framework for Solving the Inverse Problem
• KOI-54: The Kepler Discovery of Tidally-Excited Pulsations and Brightenings in a Highly Eccentric Binary
• The Orbit of WASP-12b is Decaying
• Triple-Star Candidates Among the Kepler Binaries
• KIC 4544587: an Eccentric, Short Period Binary System with delta Sct Pulsations and Tidally Excited Modes
• Heartbeat Stars, Tidally Excited Oscillations, and Resonance Locking
• Finding binaries among Kepler pulsating stars from phase modulation of their pulsations
• Probing the Masses of the PSR J0621+1002 Binary System Through Relativistic Apsidal Motion
• Radial velocity monitoring of Kepler heartbeat stars
• Systematic search for stellar pulsators in the eclipsing binaries observed by Kepler
• KIC 4142768: An Evolved Gamma Doradus/Delta Scuti Hybrid Pulsating Eclipsing Binary with Tidally Excited Oscillations
• KIC 8164262: a Heartbeat Star Showing Tidally Induced Pulsations with Resonant Locking
• Updating the theoretical tidal evolution constants: Apsidal motion and the moment of inertia
• It takes a village to raise a tide: nonlinear multiple-mode coupling and mode identification in KOI-54
• Tidally Excited Oscillations in Heartbeat Binary Stars: Pulsation Phases and Mode Identification
• Internal Structure and Apsidal Motions of Polytropic Stars in Close Binaries
• Fundamental Parameters of Kepler Eclipsing Binaries. I. KIC 5738698
• Apsidal motion of the eclipsing binary AS Camelopardalis: discrepancy resolved
• Apsidal motion in the massive binary HD 152248 -- Constraining the internal structure of the stars
• Eclipsing Binaries From the CSTAR Project at Dome A, Antarctica
• KOI-3890: A high mass-ratio asteroseismic red-giant$+$M-dwarf eclipsing binary undergoing heartbeat tidal interactions
• First apsidal motion and light curve analysis of 162 eccentric eclipsing binaries from LMC
• Asteroseismology of the heartbeat star KIC 5006817