Physics
Scientific paper
Jul 1977
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977gregr...8..491s&link_type=abstract
General Relativity and Gravitation, vol. 8, July 1977, p. 491-495.
Physics
10
Celestial Mechanics, Many Body Problem, Relativity, Virial Theorem, Angular Momentum, Energy Methods, Ideal Fluids, Orbital Velocity, Tensors
Scientific paper
Previously derived tensor-virial equations for post-Newtonian relativistic stellar dynamics are used to evaluate, in the post-Newtonian approximation, the energy integral for a bounded system of extended bodies with arbitrary internal structure and internal motions. The energy integral for a bounded perfect-fluid source is employed in the evalution, and an expression is obtained for the energy under secularly stationary conditions. A very simple expression for the total system energy is derived which contains only simple powers of the orbital velocities of the bodies and of their external gravitational potentials.
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