Equations of motion according to the asymptotic post-Newtonian scheme for general relativity

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We summarize a recent work done on the title's subject. First, we present the asymptotic scheme of post-Newtonian (PN) approximation for general relativity in the harmonic gauge. Then, we discuss the definition of the mass centers and the derivation of equations for their motion, following that scheme. Finally, we briefly analyze the reason why a new term has thus been found in the equations of motion.
8 pages, no figure. Text of talks given at the 3rd Workshop "Gravity, Astrophysics and Strings at the Black Sea" (Kiten, Bulgaria, June 13-20, 2005). Submitted to the Proceedings (P. Fiziev and M. Todorov, eds.)

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