Physics
Scientific paper
Oct 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976gregr...7..805o&link_type=abstract
General Relativity and Gravitation, Volume 7, Issue 10, pp.805-808
Physics
1
Scientific paper
In general, the gravitational two-body Hamiltonian, to orderc -2, containsGP 2,G (P · r)2, andG 2 terms. We have previously shown [4 6] that a proper choice of coordinate system enables one to eliminate theG (P · r)2 term. We now show that, making use of energy conservation, and coordinate transformations, we can eliminate either of the remaining two terms. In particular, we are able to write down a Hamiltonian and a Lagrangian that contain no mixed potential and kinetic terms.
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