Perturbations of Keplerian Orbits in Stationary Spherically Symmetric Spacetimes

Details Perturbations of Keplerian Orbits in Stationary Spherically Symmetric Spacetimes Perturbations of Keplerian Orbits in Stationary Spherically Symmetric Spacetimes

2010-10-11

arxiv.org/abs/1010.2114v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, RevTeX

Scientific paper

We study spherically symmetric perturbations determined by alternative theories of gravity to the gravitational field of a central mass in General Relativity. In particular, we focus on perturbations in the form of power laws, and calculate their effect on the secular variations of the orbital elements of a Keplerian orbit. We show that, to lowest approximation order, only the argument of pericentre and mean anomaly undergo secular variations; furthermore, we calculate the variation of the orbital period. We give analytic expressions for these variations which can be used to constrain the impact of alternative theories of gravity.

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