J/MNRAS/448/946 Kepler eclipse timing variation analyses (Borkovits+, 2015)
Eclipse timing variation analyses of eccentric binaries with close tertiaries
in the Kepler field.
Borkovits T., Rappaport S., Hajdu T., Sztakovics J.
<Mon. Not. R. Astron. Soc., 448, 946-993 (2015)>
=2015MNRAS.448..946B 2015MNRAS.448..946B (SIMBAD/NED BibCode)
ADC_Keywords: Stars, double and multiple ; Binaries, eclipsing ; Models
Keywords: methods: analytical - binaries: close - binaries: eclipsing
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 three-body 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.
Description:
The present version of the Kepler EB Catalog
(http://keplerebs.villanova.edu/) (Conroy et al. 2014, J/AJ/147/45)
contains 2645 EBs. We selected our systems from that sample. We started
our search for the appropriate compact hierarchical triple stars (CHTs)
with the construction of O-C ("observed minus calculated" eclipse times)
curves for the primary and, when possible, the secondary, eclipses for
all 2645 binaries. At the same time, we also produced folded light
curves for each binary. In all, we found some 400 binary systems that
have interesting (i.e. non-linear) O-C curves (see also Rappaport et
al. 2013ApJ...768...33R 2013ApJ...768...33R; Conroy et al. 2014, J/AJ/147/45). However,
most of these tend to be either parabolically shaped or have sinusoidal
shapes with a period comparable to, or longer than, the Kepler mission.
The majority of these are probably triple systems, as indicated by the
presence of perturbations that are likely due to a third body in the
system, but are otherwise not particularly interesting for this study.
We then restricted our attention only to the subset of these systems.
File Summary:
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FileName Lrecl Records Explanations
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ReadMe 80 . This file
stars.dat 51 26 List of stars
tablef1.dat 27 242 Times of minima of KIC 04940201
tablef2.dat 27 59 Times of minima of KIC 05255552
tablef3.dat 27 55 Times of minima of KIC 05653126
tablef4.dat 27 671 Times of minima of KIC 06545018
tablef5.dat 27 503 Times of minima of KIC 07289157
tablef6.dat 27 71 Times of minima of KIC 07812175
tablef7.dat 27 160 Times of minima of KIC 08023317
tablef8.dat 27 115 Times of minima of KIC 08210721
tablef9.dat 27 361 Times of minima of KIC 08938628
tablef10.dat 27 337 Times of minima of KIC 09714358
tablef11.dat 27 179 Times of minima of KIC 05771589
tablef12.dat 27 200 Times of minima of KIC 06964043
tablef13.dat 27 98 Times of minima of KIC 07668648
tablef14.dat 27 177 Times of minima of KIC 07955301
tablef15.dat 27 83 Times of minima of KIC 04769799
tablef16.dat 27 66 Times of minima of KIC 05003117
tablef17.dat 27 298 Times of minima of KIC 05731312
tablef18.dat 27 92 Times of minima of KIC 07670617
tablef19.dat 27 91 Times of minima of KIC 08143170
tablef20.dat 27 205 Times of minima of KIC 09715925
tablef21.dat 27 53 Times of minima of KIC 09963009
tablef22.dat 27 113 Times of minima of KIC 10268809
tablef23.dat 27 38 Times of minima of KIC 10319590
tablef24.dat 27 223 Times of minima of KIC 10979716
tablef25.dat 27 123 Times of minima of KIC 11519226
tablef26.dat 27 87 Times of minima of KIC 12356914
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See also:
V/133 : Kepler Input Catalog (Kepler Mission Team, 2009)
J/AJ/143/137 : Minima of 41 eclipsing binaries from a Kepler survey
(Gies+, 2012)
J/AJ/147/45 : Kepler mission. IV. Eclipse times for close binaries
(Conroy+, 2014)
J/MNRAS/455/4136 : Kepler triples (Borkovits+, 2016)
Byte-by-byte Description of file: stars.dat
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Bytes Format Units Label Explanations
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1- 3 A3 --- --- [KIC]
5- 12 I8 --- KIC [04769799/12356914] Kepler Input Catalog
identifier
14- 15 I2 h RAh Simbad Hour of Right Ascension (J2000)
17- 18 I2 min RAm Simbad Minute of Right Ascension (J2000)
20- 25 F6.3 s RAs Simbad Second of Right Ascension (J2000)
27 A1 --- DE- Simbad Sign of the Declination (J2000)
28- 29 I2 deg DEd Simbad Degree of Declination (J2000)
31- 32 I2 arcmin DEm Simbad Arcminute of Declination (J2000)
34- 38 F5.2 arcsec DEs Simbad Arcsecond of Declination (J2000)
40- 51 A12 --- FileName File name containing data for this star
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Byte-by-byte Description of file: tablef*.dat
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Bytes Format Units Label Explanations
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1- 12 F12.6 d BJD Barycentric Julian Date (BJD-2400000)
14- 18 F5.1 --- Cycle [-1.5/365.0] Cycle number
20- 27 F8.6 d Stdev Standard deviation
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History:
From electronic version of the journal
(End) Tiphaine Pouvreau [CDS] 15-Nov-2017