Long-term post-Newtonian effects in a binary system

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Binary Stars, Center Of Mass, Newton Theory, Stellar Motions, Two Body Problem, Angular Momentum, Differential Equations, Dynamic Characteristics, Equations Of Motion, Gravitation, Kepler Laws

Scientific paper

The equations of motion are solved for two gravitating pointlike particles by applying the method of the averaging. In this way, an approximate solution valid in a long interval of time (many times the orbital period) is obtained. As a consequence the periastron epochs and the periastron positions present an oscillation, of long period, which disappears in the center-of-mass frame.

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