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A “constant of the motion” for the geodesic deviation equation
Published online by Cambridge University Press: 17 February 2009
Abstract
In this short paper, it is shown that the geodesic deviation equation admits a “constant of the motion” and so can be solved exactly. We also derive an expression for the energy E of relative motion between two freely falling test particles. We can infer that, in general, E will not be a linear superposition of kinetic and potential energies.
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- Research Article
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- Copyright © Australian Mathematical Society 1980
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