On the determination of double star orbits

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astrometry, Double Stars, Orbit Calculation, Orbital Elements, Stellar Motions, Astronomical Coordinates, Celestial Mechanics, Convergence, Power Series

Scientific paper

First-order and second-order derivatives are used in the development of the appropriate condition equations in order to improve the convergence of the determination of the orbital elements of visual binaries. A critique of the power-series methods is considered. To improve the accuracy of the orbit used as first approximation, the Kowalsky-Seeliger algorithm (Heintz, 1971) is modified.

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