Perturbed orbital elements of close binary systems due to tidal lag in longitude

Details Perturbed orbital elements of close binary systems due to tidal lag in longitude Perturbed orbital elements of close binary systems due to tidal lag in longitude

Aug 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987ap%26ss.136..149z&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 136, no. 1, Aug. 1987, p. 149-165.

Statistics

Computation

Binary Stars, Computational Astrophysics, Orbit Perturbation, Orbital Elements, Tides, Astronomical Photometry, Astronomical Spectroscopy

Scientific paper

This paper deals with the perturbations which tidal lag in longitude can produce to the orbital elements of a close binary system. The expressions obtained for the six elements of the orbit have been presented as functions of the unperturbed true anomaly, measured from the periastron. The study includes the effects produced by the second, third, and fourth tidal harmonic distortions. In order to save space these extremely lengthy equations are given in the compact form of summations, by means of Hansen coefficients. Various recurrence relations, which hold good for Hansen coefficients, are also presented. Finally, this paper includes a second-order approximation only for the secular terms of first-order approximation.

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