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Applied Physics and Mathematics

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POST-KEPLERIAN ORBITS OF POINT MASSES IN A FLAT SPACE-TIME
A.V. KUKUSHKIN

The post-Keplerian solutions of the classical gravitational problem of two bodies moving along the elliptical orbit with a uniformly rotating major axis round one of its foci coinciding with the center of mass of the system are presented. The rotation speed of the apsis line is a free parameter within a certain range of permitted values. The free choice of the value of an apsidal speed for a post-Keplerian orbit becomes an additional degree of freedom when looking for a theoretical explanation of observed orbits in close binary systems.
Keywords: apsidal speed, post-Keplerian equation, eclipsing binary stars, orbital function, rotating complex plane.


DOI: 10.25791/pfim.01.2020.1150

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Pp. 23-44.

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