A study of light travel time effect in short-period MOA eclipsing binaries via eclipse timing
M. C. A. Li, N. J. Rattenbury, I. A. Bond, T. Sumi, D. P. Bennett, N., Koshimoto, F. Abe, Y. Asakura, R. Barry, A. Bhattacharya, M. Donachie, P., Evans, A. Fukui, Y. Hirao, Y. Itow, K. Masuda, Y. Matsubara, Y. Muraki, M., Nagakane, K. Ohnishi, To. Saito, A. Sharan

TL;DR
This study analyzes eclipse timing variations in short-period MOA eclipsing binaries over 9.5 years, revealing a high frequency of tertiary companions, especially among the shortest period contact binaries.
Contribution
It provides the first large-scale analysis of light-travel-time effects in short-period binaries, highlighting the prevalence of tertiary companions near the 0.22-day period limit.
Findings
91 binaries show light-travel-time effect signals
Frequency of tertiaries increases with decreasing period
Nearly all contact binaries with periods < 0.26d have tertiaries
Abstract
A sample of 542 eclipsing binaries (EBs) with periods shorter than 2 d were selected from the Microlensing Observations in Astrophysics (MOA) EB catalogue (Li et al. 2017) for eclipse-time variation analysis. For this sample we were able to obtain the time series from MOA-II that span 9.5yr. We discovered 91 EBs, out of the 542 EBs, with detected light-travel-time effect signals suggesting the presence of tertiary companions of orbiting periods from 250 d-28 yr. The frequency of EBs with tertiary companions in our sample increases as the period decreases and reaches a value of 0.65 for contact binaries with periods shorter than 0.3 d. If only the contact binaries of periods < 0.26d are considered, the frequency even goes to the unit. Our results suggest that contact binaries with periods close to the 0.22-d contact binary limit are commonly accompanied by relatively close tertiary…
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