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

Download: PDF

Submission history

[v1] 3 Mar 2010

Unique-IP document downloads: 1202 times is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus