Title

Effects in the Anomalistic Period of Celestial Bodies due to a Logarithmic Correction to the Newtonian Gravitational Potential

Document Type

Article

Publication Date

5-2013

Department

Department of Physics and Computer Science

Abstract

We study the motion of a secondary celestial body under the influence of the logarithmic corrected gravitational force of a primary one. This kind of correction was introduced by Fabris et al. (2009). We derive two equations to compute the rate of change of the periastron w.r.t. the eccentric anomaly and its total variation over one revolution, In a kinematical sense, this influence produces an apsidal motion. We perform numerical estimations for Mercury and for the companion star of the pulsar PSR 1913+16. We also consider the case of the artificial Earth satellite GRACE-A, but the results present a low degree of reliability from a practical standpoint.

Comments

This is a post-peer-review, pre-copyedit version of an article published in Astrophysics and Space Science. The final authenticated version is available online at: https://doi.org/10.1007/s10509-013-1377-6

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