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

In this paper we give the Hamiltonian function for aN-body system up to the 2-P.N.A. Then as an example, from the LagrangianL_mof a test particle we derive the equations of its motion up to the 2-P.N.A. in the field of a heavy bodym₂at rest.