On the convergent solution in Kopal's iterative method of solving eclipsing binary orbits

Astronomy and Astrophysics – Astrophysics

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Convergence, Eclipsing Binary Stars, Iterative Solution, Light Curve, Orbit Calculation, Optimization, Stellar Occultation, Stellar Rotation

Scientific paper

Consideration is given to the question of convergence when Kopal's iterative method is used to solve eclipsing binary orbits. It is shown that even when the solution is convergent, it may not be the true solution but a false one. The circumstances in which Kopal's method will either be divergent or lead to a false solution are identified. Finally, an improvement on the optimization procedure of Lu et al. (1978) is discussed.

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