Experimental tests of the linear equations for the gravitational field

Physics

Scientific paper

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Field Theory (Physics), Gravitation Theory, Linear Equations, Deflection, Hamiltonian Functions, Light Transmission, Precession, Red Shift, Relativistic Theory, Stellar Gravitation

Scientific paper

The consistency of the vector theory of gravitation, which is based on linear equations for the gravitational field, with certain experimental results is examined. By the introduction of a term for the self-interaction between particle velocity and its vector potential in the Lagrangian of the particle, the Hamiltonian for a two-body interaction is modified to explain: (1) the precession of the perihelion of a planet, (2) the deflection of light in the gravitational field of a star, and (3) the gravitational red shift, as predicted by the results of the general theory of relativity.

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