General-relativistic equations of binary motion for extended bodies, with conservative corrections and radiation damping

Astronomy and Astrophysics – Astronomy

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Binary Stars, Radiative Transfer, Relativistic Effects, Stellar Motions, Approximation, Equations Of Motion, Stellar Mass, Virial Theorem

Scientific paper

Equations of motion for two spherically symmetric extended bodies in the weak-field and slow-motion approximation are derived. Equations of motion were obtained by the post-Newtonian approximation (PNA) method and contain all conservative and first radiative relativistic terms. Residual terms were estimated and limitations on the small parameters of the PNA scheme were derived under which the obtained equations of motion are valid.

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