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On a relativistic two-body problem Hamilton, John Dwayne

Abstract

An invariant formalism is developed for a two-body system in a flat spacetime interacting by the exchange of particles of zero proper mass. A solution, to second order, of the equations of motion is obtained. The principle of equivalence is applied to study the motion of a system of particles in a uniform gravitational field. The equations of motion are then generalized to a Riemannian spacetime and the acceleration of non-spinning point-particles in a gravitational field is briefly discussed.

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