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

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

doi:10.1093/mnras/stv015

Cited by 140 publications

(268 citation statements)

References 75 publications

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“…So far, the long-period effects, namely those with a period P 2 of orbit 2, have been extensively studied (e.g. Soderhjelm 1975Soderhjelm , 1982Borkovits et al 2003Borkovits et al , 2011Borkovits et al , 2015. We here focus on the ETVs, that is, on advances and delays δt LP in epochs of eclipse of orbit 1 that are due to the variations in its mean motion n 1 caused by component B.…”

Section: Long-and Short-period Eclipse Variationsmentioning

confidence: 99%

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ξTauri: a unique laboratory to study the dynamic interaction in a compact hierarchical quadruple system

Nemravová

Harmanec

Brož

et al. 2016

A&A

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Context. Compact hierarchical systems are important because the effects caused by the dynamical interaction among its members occur on a human timescale. These interactions play a role in the formation of close binaries through Kozai cycles with tides. One such system is ξ Tauri: it has three hierarchical orbits: 7.14 d (eclipsing components Aa, Ab), 145 d (components Aa+Ab, B), and 51 yr (components Aa+Ab+B, C). Aims. We aim to obtain physical properties of the system and to study the dynamical interaction between its components. Methods. Our analysis is based on a large series of spectroscopic photometric (including space-borne) observations and long-baseline optical and infrared spectro-interferometric observations. We used two approaches to infer the system properties: a set of observation-specific models, where all components have elliptical trajectories, and an N-body model, which computes the trajectory of each component by integrating Newton's equations of motion. Results. The triple subsystem exhibits clear signs of dynamical interaction. The most pronounced are the advance of the apsidal line and eclipsetiming variations. We determined the geometry of all three orbits using both observation-specific and N-body models. The latter correctly accounted for observed effects of the dynamical interaction, predicted cyclic variations of orbital inclinations, and determined the sense of motion of all orbits. Using perturbation theory, we demonstrate that prominent secular and periodic dynamical effects are explainable with a quadrupole interaction. We constrained the basic properties of all components, especially of members of the inner triple subsystem and detected rapid low-amplitude light variations that we attribute to co-rotating surface structures of component B. We also estimated the radius of component B. Properties of component C remain uncertain because of its low relative luminosity. We provide an independent estimate of the distance to the system. Conclusions. The accuracy and consistency of our results make ξ Tau an excellent test bed for models of formation and evolution of hierarchical systems.

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Section: Long-and Short-period Eclipse Variationsmentioning

confidence: 99%

“…Assuming for simplicity coplanar orbitsJ = 0 deg, we obtain (e.g. Soderhjelm 1975;Borkovits et al 2011Borkovits et al , 2015Rappaport et al 2013, which also contain terms proportional to ∝J 2 )…”

Section: Long-and Short-period Eclipse Variationsmentioning

confidence: 99%

ξTauri: a unique laboratory to study the dynamic interaction in a compact hierarchical quadruple system

Nemravová

Harmanec

Brož

et al. 2016

A&A

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“…These surveys indicate that 18% » of the observed systems display variations consistent with orbital motion about a third star. Detailed case studies of specific triples have been presented by Rappaport et al (2013), Borkovits et al (2015), and Zasche et al (2015), among others. Furthermore, Kepler light curves have uncovered a number of remarkable cases in which the orientation of the outer system is such that eclipses by the tertiary are also observed (Carter et al 2011;Derekas et al 2011;Armstrong et al 2012;Borkovits et al 2013).…”

Section: Introductionmentioning

confidence: 99%

KEPLERECLIPSING BINARIES WITH STELLAR COMPANIONS

Gies

Matson

Guo

et al. 2015

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Many short-period binary stars have distant orbiting companions that have played a role in driving the binary components into close separation. Indirect detection of a tertiary star is possible by measuring apparent changes in eclipse times of eclipsing binaries as the binary orbits the common center of mass. Here we present an analysis of the eclipse timings of 41 eclipsing binaries observed throughout the NASA Kepler mission of long duration and precise photometry. This subset of binaries is characterized by relatively deep and frequent eclipses of both stellar components. We present preliminary orbital elements for seven probable triple stars among this sample, and we discuss apparent period changes in seven additional eclipsing binaries that may be related to motion about a tertiary in a long period orbit. The results will be used in ongoing investigations of the spectra and light curves of these binaries for further evidence of the presence of third stars.

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“…As a result, we picked three EB candidates, i.e. MOA-115233-GB10-9, MOA-129173-GB10-1 and MOA-360325-GB10-7, which have low values of PDM statistic corresponding to sharp eclipsing signals and show obvious periodic patterns in their ETV curves, and fitted their O−C curves by the ETV model in Borkovits et al (2015) defined by:…”

Section: Ltte Model Fittingmentioning

confidence: 99%

The first eclipsing binary catalogue from the MOA-II data base

Rattenbury

Bond

et al. 2017

Monthly Notices of the Royal Astronomical Society

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We present the first catalogue of eclipsing binaries in two MOA fields towards the Galactic bulge, in which over 8,000 candidates, mostly contact and semi-detached binaries of periods < 1 d, were identified. In this paper, the light curves of a small number of interesting candidates including eccentric binaries, binaries with noteworthy phase modulations and eclipsing RS CVn type stars are shown as examples. In addition, we identified three triple object candidates by detecting the light-travel-time effect in their eclipse time variation curves.

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

Cited by 140 publications

References 75 publications

ξTauri: a unique laboratory to study the dynamic interaction in a compact hierarchical quadruple system

ξTauri: a unique laboratory to study the dynamic interaction in a compact hierarchical quadruple system

KEPLERECLIPSING BINARIES WITH STELLAR COMPANIONS

The first eclipsing binary catalogue from the MOA-II data base

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