Light curve solutions of 12 eccentric Kepler binaries and analysis of their out-of-eclipse variability
Diana Kjurkchieva, Doroteya Vasileva, Dinko Dimitrov

TL;DR
This study analyzed 12 eccentric Kepler binaries, deriving their orbital parameters and out-of-eclipse variability, discovering new heartbeat stars, and revealing patterns in their period-eccentricity distribution.
Contribution
It provides detailed orbital solutions for 12 eccentric binaries and identifies new types of heartbeat stars and variability patterns, expanding understanding of binary star behavior.
Findings
Identification of four new heartbeat stars.
Detection of rotational variability in KIC 10490980.
Observation of a lack of eccentric binaries with 25-35 days periods.
Abstract
The eccentricity, periastron angle, orbital inclination, mass ratio, stellar temperatures and relative stellar radii of 12 eclipsing eccentric binaries were determined on the basis of Kepler data. The analysis of their out-of-eclipse variability led to the following results: (i) KIC 10490980 exhibits rotational (spot-type) variability; (ii) Four new heartbeat stars were found: KIC 9344623 and KIC 10296163, which have wide tidally induced light humps and KIC 9119405 and KIC 9673173, which have narrow "W-shape" features; (iii) KIC 4932691 shows oscillations with approximately the 18th harmonic of the orbital period. We established that the eccentric Kepler binaries fall below the envelope P(1-e^2)^{3/2} = 5 days on the period-eccentricity diagram and that there is a surprising lack of eccentric binaries with periods of 25-35 days.
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