The motion of the line of apsides of Zeta Phoenicis

Statistics – Computation

Scientific paper

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Apsides, Celestial Mechanics, Computational Astrophysics, Double Stars, Stellar Motions, Two Body Problem, Asymptotic Methods, Legendre Functions, Normal Density Functions, Periodic Variations, Stellar Orbits

Scientific paper

The period of the rotation of the line of apsides of the binary system Zeta Phoenicis, described by Nikolov and Maslev (1987) was estimated by representing the density function as a product of a normal Gaussian distribution and an associated Legendre polynomial; the period was found to be about 63 years. It is shown that the asymptotic behavior of this function coincides with the results obtained by Zeldovich et al. (1981), and that the period determined comes close to the period determined by an empirical formula of Batten (1973).

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