Center of Inertia for the n-Body System in the Post-Post-Newtonian Approximation in General Relativity
Open Access
- 1 March 1989
- journal article
- Published by Oxford University Press (OUP) in Progress of Theoretical Physics
- Vol. 81 (3) , 662-678
- https://doi.org/10.1143/ptp.81.662
Abstract
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.Keywords
This publication has 1 reference indexed in Scilit:
- Note on the Preceding Paper: The Two Body Problem in General RelativityAnnals of Mathematics, 1938