A “constant of the motion” for the geodesic deviation equation

Author:

Dolan P.,Choudhury P.,Safko J. L.

Abstract

AbstractIn 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.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics

Reference15 articles.

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2. II. — On the geometry of dynamics

3. An extended adiabatic invariant

4. Qualitative problems on the linear differential equations of the second order;El'sin;Dokl. Akad. Nauk,1949

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