Relativity and Cosmology

   

Gauss Planetary Equations in a Non-Singular Gravitational Potential

Authors: Ioannis Iraklis Haranas, Michael Harney

We study the effects of a non-singular gravitational potential on satellite orbits by calculating the corresponding changes of its orbital elements, using Gauss' planetary equations. We derive two non-zero expressions for the changes of the argument of the perigee and the mean anomaly, and we compare them to those of the general relativity. Using the GRACE satellite system, we obtain numerical results from which we conclude that the effect of such a potential, on the perigee cannot be separated from that of general relativity. Furthermore, we conclude that the effect on the mean anomaly can probably be observed by today's technology.

Comments: 6 pages, Submitted to the Journal of Gravitational Physics, p.6

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Submission history

[v1] 3 Mar 2010

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