1972•American Journal of PhysicsRequires access

Motion of a Relativistic Particle Acted Upon by a Constant Force and a Uniform Gravitational Field

I. Richard Lapidus

Abstract

The complete two-dimensional solutions for the relativistic motion of a particle acted upon by a constant force and a uniform gravitational field are obtained. The gravitational force is velocity dependent as a consequence of the equivalence of inertial and gravitational mass. The solution for the special case of one-dimensional vertical motion is also obtained.

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Key concepts: Physics, Gravitational field, Classical mechanics, Gravitational constant, Fictitious force, Gravitation, Gravitational acceleration, Gravity Probe A