On the determination of double star orbits (Q1058877)

It is proposed to improve the convergence of the determination of the elements of the orbits of visual binaries by using not only first, but second-order derivatives in the development of the appropriate equations of condition. Also, some improvements of the Kowalsky-Seeliger method [cf. \textit{W. D. Heintz}, Doppelsterne, Wilhelm Goldmann Verlag, München (1971)] are suggested which improve the accuracy of the orbit used as first approximation.