Markov Chain Monte Carlo applied to the Double Stars of Miller and Pitman

Maksym Ersteniuk, Timothy Banks, Edwin Budding

Published 2023-07-17Version 1

Model orbits have been fitted to 27 physical double stars listed in the 1922 catalogue of Miller & Pitman (MP). A Markov Chain Monte Carlo technique was applied to estimate best fitting values and associated uncertainties for the orbital parameters. Dynamical masses were calculated using parallaxes from the Hipparcos and Gaia missions. These are not in strong agreement with the masses given by MP. This is surprising given the high correlation between the parallaxes from these missions and those listed by MP; unfortunately calculations are not given by MP nor are orbital parameters. The results of the current study are in good agreement with a recent study, as are comparisons with the orbital parameters listed by the Washington Double Star catalog, confirming the validity of the MCMC modelling.