Eclipse timing variation analyses of eccentric binaries with close tertiaries in the Kepler field

T. Borkovits, S. Rappaport, T. Hajdu, J. Sztakovics

Research output: Article

43 Citations (Scopus)

Abstract

We report eclipse timing variation analyses of 26 compact hierarchical triple stars comprised of an eccentric eclipsing ('inner') binary and a relatively close tertiary component found in the Kepler field. We simultaneously fit the primary and secondary O - C curves of each system for the light-traveltime effect (LTTE), as well as dynamical perturbations caused by the tertiary on different time-scales. For the first time, we include those contributions of threebody interactions which originate from the eccentric nature of the inner binary. These effects manifest themselves both on the period of the triple system, P2, and on the longer 'apse-node' time-scale. We demonstrate that consideration of the dynamically forced rapid apsidal motion yields an efficient and independent tool for the determination of the binary orbit's eccentricity and orientation, as well as the 3D configuration of the triple. Modelling the forced apsidal motion also helps to resolve the degeneracy between the shapes of the LTTE and the dynamical delay terms on the P2 time-scale, due to the strong dependence of the apsidal motion period on the triple's mass ratio. This can lead to the independent determination of the binary and tertiary masses without the need for independent radial velocity measurements. Through the use of our analytic method for fitting O - C curves, we have obtained robust solutions for system parameters for the 10 most ideal triples of our sample, and only somewhat less robust, but yet acceptable, fits for the remaining systems. Finally, we study the results of our 26 system parameter fits via a set of distributions of various physically important parameters, including mutual inclination angle, and mass and period ratios.

Original languageEnglish
Pages (from-to)946-993
Number of pages48
JournalMonthly Notices of the Royal Astronomical Society
Volume448
Issue number1
DOIs
Publication statusPublished - jan. 1 2015

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eccentrics
eclipses
light effect
time measurement
timescale
mass ratios
triple stars
curves
eccentricity
velocity measurement
radial velocity
inclination
perturbation
orbits
configurations
modeling
parameter
interactions

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Space and Planetary Science

Cite this

Eclipse timing variation analyses of eccentric binaries with close tertiaries in the Kepler field. / Borkovits, T.; Rappaport, S.; Hajdu, T.; Sztakovics, J.

In: Monthly Notices of the Royal Astronomical Society, Vol. 448, No. 1, 01.01.2015, p. 946-993.

Research output: Article

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