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HD 181068 is the brighter of the two known triply eclipsing hierarchicaltriple stars in the Kepler field. It has been continuously observed for morethan 2 years with the Kepler space telescope. Of the nine quarters of the data,three have been obtained in short-cadence mode, that is one point per 58.9 s.Here we analyse this unique dataset to determine absolute physical parameters(most importantly the masses and radii) and full orbital configuration using asophisticated novel approach. We measure eclipse timing variations (ETVs),which are then combined with the single-lined radial velocity measurements toyield masses in a manner equivalent to double-lined spectroscopic binaries. Wehave also developed a new light curve synthesis code that is used to model thetriple, mutual eclipses and the effects of the changing tidal field on thestellar surface and the relativistic Doppler-beaming. By combining the stellarmasses from the ETV study with the simultaneous light curve analysis wedetermine the absolute radii of the three stars. Our results indicate that theclose and the wide subsystems revolve in almost exactly coplanar and progradeorbits. The newly determined parameters draw a consistent picture of the systemwith such details that have been beyond reach before.

Dynamical masses, absolute radii and 3D orbits of the triply eclipsing star HD 181068 from Kepler photometry