Doubly eclipsing systems

Aims: Our goal was to increase number of known doubly eclipsing systems such that the resulting dataset would allow to study them via statistical means, as well as prove that they constitute gravitationally bound 2+2 quadruple system. Methods: We analysed photometric data for eclipsing binaries provided by the OGLE survey in the LMC fields. We found a large number of new doubly eclipsing systems (our discoveries are 3x more numerous than previous studies). With a typical orbital period of days for the binaries, we sought eclipse time variations (ETVs) on the timescale of years. In the cases where we were able to detect the ETV period, the difference between the inner and outer periods in the quadruple system is large enough. This allows us to interpret ETVs primarily as the light-time effect, thus providing an interesting constraint on masses of the binaries. Results: In addition to significantly enlarging the database of known doubly eclipsing systems, we performed a thorough analysis of 72 cases. ETVs for 28 of them (39% of the studied cases) showed evidence of relative motion. We note OGLE BLG-ECL-145467 as the most interesting case; it is bright (I=12.6 mag), consists of two detached binaries with periods of about 3.3 d and 4.9 d (making it a candidate for a 3:2 resonant system), mutual period about 1538 d. Distribution of the orbital period ratio P_A/P_B of binaries in 2+2 quadruples shows statistically significant excess at 1 and 1.5. The former is likely a natural statistical preference in weakly interacting systems with periods within the same range. The latter is thought to be evidence of a capture in the 3:2 mean motion resonance of the two binaries. This sets important constraints on evolutionary channels in these systems. The total number of doubly eclipsing systems increased to 146, more than 90% of which are at low declinations on the southern sky.