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The periastron advance in the second post-Newtonian approximation in general relativity
Authors:G. Antonacopoulos  E. Tsoupakis
Affiliation:(1) Department of Astronomy, University of Patras, Greece;(2) Department of Applied Mathematics, National Technical University, Athens, Greece
Abstract:In this paper we present a second order post-Newtonian approximation to the Hamiltonian of theN-body system. Subsequently we improve the well-known Robertson's formula for the perihelion advancement by a correction term of orderc, wherec–4 is the velocity of light.
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