An exact solution of the ephemeris-curve problem

Details An exact solution of the ephemeris-curve problem An exact solution of the ephemeris-curve problem

Dec 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992aj....104.2213l&link_type=abstract

Astronomical Journal (ISSN 0004-6256), vol. 104, no. 6, p. 2213-2216.

Statistics

Computation

32

Computational Astrophysics, Eclipsing Binary Stars, Ephemeris Time, Stellar Motions, Iterative Solution, Orbital Elements, Stellar Orbits

Scientific paper

A new method is presented for the determination of apsidal motion parameters from observed times of minima of eccentric eclipsing binary stars. Previous methods have relied on approximations which, in the most accurate case, include terms up to the fifth power of the eccentricity. The new method is exact - no approximations are used. Instead, iterative numerical methods are used to solve the transcendental equations to arbitrarily high precision. A Levenberg-Marquardt method is used to obtain simultaneously the optimum values of all fitting parameters and their mean errors. As an example, the method is used to analyze the apsidal motion of V523 Sgr.

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