The orbits of the quadruple star system 88 Tau A from PHASES differential astrometry and radial velocity
Benjamin F. Lane (Draper), Matthew W. Muterspaugh (Berkeley), Francis, C. Fekel (Tennessee State), Michael Williamson (Tennessee State), Stanley, Browne (Berkeley), Maciej Konacki (NCAC Polish Academy of Sciences), Bernard, F. Burke (MIT), S. R. Kulkarni (Caltech)

TL;DR
This study combines high-precision astrometry and radial velocity data over 20 years to determine the detailed orbital architecture and component masses of the complex quadruple star system 88 Tau A, revealing non-coplanar sub-systems.
Contribution
First orbital solution for one short-period pair in 88 Tau A, with component masses, distance, and mutual inclinations determined from combined astrometry and radial velocities.
Findings
Component masses determined to a few percent accuracy.
First measurement of mutual orbital inclinations showing non-coplanarity.
Orbital parameters of the short-period pairs derived for the first time.
Abstract
We have used high precision differential astrometry from the Palomar High-precision Astrometric Search for Exoplanet Systems (PHASES) project and radial velocity measurements covering a time-span of 20 years to determine the orbital parameters of the 88 Tau A system. 88 Tau is a complex hierarchical multiple system comprising a total of six stars; we have studied the brightest 4, consisting of two short-period pairs orbiting each other with an 18-year period. We present the first orbital solution for one of the short-period pairs, and determine the masses of the components and distance to the system to the level of a few percent. In addition, our astrometric measurements allow us to make the first determination of the mutual inclinations of the orbits. We find that the sub-systems are not coplanar.
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