The problem of motions up to the second post-Newtonian approximation in general relativity theory

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Many Body Problem, Newton Second Law, Relativistic Theory, Approximation, Differential Equations, Equations Of Motion, Hamiltonian Functions, Lagrangian Equilibrium Points

Scientific paper

In this paper we give the Hamiltonian function for a N-body system up to
the 2-P.N.A. Then as an example, from the Lagrangian Lm of a test
particle we derive the equations of its motion up to the 2-P.N.A. in the
field of a heavy body m2 at rest

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