Solving for the Orbital Elements of Binary Systems using MCMC Simulations.

Recent simulation and observational data have been used to investigate the ability of Kozai oscillations to explain the formation of ``hot Jupiter'' planetary systems. One of the first exoplanets discovered, τ Boo Ab, orbits a star with a binary companion, making it an excellent testbed for this scenario. We have written a three-dimensional Markov Chain Monte Carlo (MCMC) simulator to constrain the orbit of the distant stellar companion τ Boo B, and are currently deriving orbital parameters and confidence intervals. These orbital parameters will confirm or reject Kozai oscillations as a plausible formation mechanism for τ Boo Ab.