A many-body Lagrangian for celestial body dynamics to second post-Newtonian linear field order

Details A many-body Lagrangian for celestial body dynamics to second post-Newtonian linear field order A many-body Lagrangian for celestial body dynamics to second post-Newtonian linear field order

May 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988apj...328..588b&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 328, May 15, 1988, p. 588-593.

Statistics

Computation

6

Celestial Bodies, Euler Equations Of Motion, Gravitation Theory, Lorentz Force, Many Body Problem, Computational Astrophysics, Degrees Of Freedom

Scientific paper

The many-body Lagrangian formalism developed by Nordvedt is used to develop an extension of the first post-Newtonian Lagrangian for compact celestial bodies interacting via an underlying metric theory of gravity. The Lagrangian is extended to second order in the motion of the bodies but is linear in the potentials. A hierarchy of Lorentz invariances is then imposed on this "linear field" Lagrangian, and the resulting Lorentz-invariant Lagrangian is found to depend solely on the structure of the first post-Newtonian Lagrangian.

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