Computational Algorithm for Orbit and Mass Determination of Visual Binaries

Mohamed Sharaf, Mohamed Nouh, Abdel Naby Saad, Magdy Elkhateeb, Somaya Saad

Published 2014-06-05Version 1

In this paper we introduce an algorithm for determining the orbital elements and individual masses of visual binaries. The algorithm uses an optimal point, which minimizes a specific function describing the average length between the least-squares solution and the exact solution. The objective function to be minimized is exact, without any approximation. The algorithm is applied to Kowalsky's method for orbital parameter computation, and to Reed's method for the determination of the dynamical parallax and individual masses. The procedure is applied to A 1145 and ADS 15182.