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

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

Dec 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982cha%26a...6..304c&link_type=abstract

Chinese Astronomy and Astrophysics, Volume 6, Issue 4, p. 304-310.

Astronomy and Astrophysics

Astrophysics

Scientific paper

In /1/, we have discussed the question whether Kopal's iterative method of solving eclipsing binary orbits is always convergent. In this paper, we show, by means of an example, that, even when the solution is convergent, it may not be the true solution but a false one. Through calculations, we empirically identify the circumstances in which Kopal's method will either be divergent or lead to a false solution. We also make an improvement on the optimization procedure in /1/.

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