Mr. Chris Farrington
Over the past half century, multiplicity studies have provided a foundation for the theories of stellar formation and evolution through understanding how likely it is that stars form alone or with companions. Radial velocity studies can, for example, probe the distribution of "tracer" systems (high-eccentricity short-period binaries) for stellar formation models. If spectroscopic orbits are combined with techniques that can determine visual orbits, we can access the most fundamental parameter of stellar evolution, stellar mass.
This dissertation is composed of two main sections. The first involves the investigation of the seminal multiplicity study of Duquennoy & Mayor (1991B) which has been the "gold standard" for solar-type stars for nearly 20 years. Improvements in technology in the intervening years have improved the measurement accuracy for radial velocities and distances on which the study was based. Using Georgia State University's CHARA Array to search the systems in Duquennoy & Mayor's multiplicity survey for overlooked companions along with a literature search covering regimes unreachable by the CHARA Array, we can determine an updated multiplicity fraction for F, G, and K stars in the solar neighborhood.
The second part of this project describes the application of separated fringe packets for resolving the astrometric position of secondaries with small angular separations on long-baseline optical interferometers. The longest baselines of the CHARA Array allow access to a previously inaccessible range of separations compared with other techniques (<40 milliarcseconds) and the ability to very accurately angularly resolve a large number of single- and double-lined spectroscopic binaries. Combining astrometric and spectroscopic orbits is one of the few assumption-free methods for determining stellar masses. With current techniques, there are relatively few spectroscopic systems that are able to be angularly separated, but with the expansion of available separations with the CHARA Array, many more systems are available for high-accuracy mass determinations.