A Formulation of the Gravitational Equation of Motion

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Scientific Paper
Title A Formulation of the Gravitational Equation of Motion
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Author(s) T Chang
Keywords principle of equivalence, inertial forces, gravitational field
Published 1994
Journal Apeiron
Volume 1
Number 20
No. of pages 3
Pages 32-35

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Abstract

According to Einstein's principle of equivalence, inertial forces in an accelerated reference system are equivalent to the existence of a gravitational field. In order to formulate the gravitational force as well as inertial forces in explicit form, we introduce two conditions into the 4-D line element and transformations. As a consequence, the equation of motion for gravitational force or inertial force has a form similar to the equation of Lorentz force on a charge in electrodynamics. The inertial forces in non-inertial systems are calculated for two special cases: a uniformly accelerated system, and a uniformly rotating system.