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Double-lined spectroscopic visual binaries allow the hypothesis-free estimation of their individual masses and of their distances. Instead of two independent deter- minations of some orbital parameters, we propose a simul- taneous adjustment of visual and spectroscopic observa- tions. This paper presents the dierent steps of such a si- multaneous adjustment: (a) to transform the problem into a quest for the global minimum of a nonlinear function; (b) to obtain that minimum using simulated annealing and the Broyden-Fletcher-Goldstrab-Shanno local search method.

Simultaneous least-squares adjustment of visual and spectroscopic observations of binary stars