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Planetary perturbation equations based on relativistic Keplerian motion

Published online by Cambridge University Press:  04 August 2017

Neil Ashby
Neil Ashby*
Affiliation:
Department of Physics, Campus Box 390, University of Colorado Boulder, Colorado, USA 80309

Abstract

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Solutions of the geodesic equations for bound test particle motion in a Schwarzschild field are expressed using Jacobian elliptic functions. Keplerian orbital elements are identified and related to a set of canonical constants. Relativistic Lagrange planetary perturbation equations are derived.

Type
Dynamical Effects in General Relativity
Information
Symposium - International Astronomical Union , Volume 114: Relativity in Celestial Mechanics and Astrometry , 1986 , pp. 41 - 52
Copyright
Copyright © Reidel 1986 

References

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