Equivalence principle for massive bodies in a generalized theory of gravitation. I, II

Physics

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Equations Of Motion, Equivalence, Gravitation Theory, Orbit Calculation, Thermodynamic Equilibrium, Three Body Problem, Gravitational Effects, Metric Space, Orbit Perturbation, Point Sources

Scientific paper

The equations of motion for the behavior of massive bodies in the nonsymmetric theory of gravitation are examined. It is shown that the two parameters eta and zeta determine the ratio of gravitational and inertial mass. In the parameterized post-Newtonian order of the nonsymmetric theory it is demonstrated that eta = zeta = 0, where eta is the Nordtvedt parameter. The magnitudes of the dominant terms in the equations of motion are presented for various planet-sun systems. The three-body equations of motion are considered for periodic perturbations in an earth-centered coordinate frame. Lunar laser ranging data are used to set upper bounds for the new l parameters associated with the earth and sun.

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