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The periastron advance in the second post-Newtonian approximation in general relativity

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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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Authors and Affiliations

  1. Department of Astronomy, University of Patras, Greece

    G. Antonacopoulos

  2. Department of Applied Mathematics, National Technical University, Athens, Greece

    E. Tsoupakis

Authors
  1. G. Antonacopoulos
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  2. E. Tsoupakis
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Antonacopoulos, G., Tsoupakis, E. The periastron advance in the second post-Newtonian approximation in general relativity. Astrophys Space Sci 62, 185–188 (1979). https://doi.org/10.1007/BF00643911

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  • DOI: https://doi.org/10.1007/BF00643911

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