Motion of a particle in a gravitational field in the special theory of relativity

Physics

Scientific paper

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Scientific paper

The equations of motion for a particle moving in a gravitational field considered in planar spacetime are derived. A simplified form of these equations is obtained for the particular case of a centrosymmetric field subject to a simplifying assumption concerning the structure of the potential of a field with this sort of symmetry. Under this assumption the displacement of the perigee of the planets amounts to five-sixths of the value given by the general theory of relativity.

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