Center of Inertia for the n-Body System in the Post-Post-Newtonian Approximation in General Relativity

Details Center of Inertia for the n-Body System in the Post-Post-Newtonian Approximation in General Relativity Center of Inertia for the n-Body System in the Post-Post-Newtonian Approximation in General Relativity

Mar 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989pthph..81..662o&link_type=abstract

Progress of Theoretical Physics, Vol. 81, No. 3, pp. 662-678

Physics

6

Scientific paper

Following Landau and Lifshitz's definition of the center of inertia (C. I.) in terms of the time component of the energy-momentum tensor of matter and that of the pseudotensor of gravitational field, the C. I. coordinate is determined for an n-body system in the post-post-Newtonian approximation in general relativity. The result for a two-body system coincides with that derived directly from the equations of motion and is not a form of 1/2, 1/2 split for potential terms. The C. I. coordinate for the acceleration-dependent Lagrangian is also derived.

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