Yukawa-Type Potential Effects in the Anomalistic Period of Celestial Bodies

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Scientific Paper
Title Yukawa-Type Potential Effects in the Anomalistic Period of Celestial Bodies
Author(s) Ioannis Iraklis Haranas, Omiros Ragos
Keywords celestial mechanics; orbital and rotational dynamics; classical field theories.
Published 2010
Journal None
No. of pages 10

Abstract

Several contemporary modified models of gravity predict the existence of a non-Newtonian Yukawa-type correction to the classical gravitational potential. We study the motion of a secondary celestial body under the influence of the corrected gravitational force of a primary. We derive two equations to approximate the periastron time rate of change and its total variation over one revolution (i.e., the difference between the anomalistic period and the Keplerian period) under the influence of the non-Newtonian radial acceleration. Kinematically, this influence produces apsidal motion. We performed numerical estimations for Mercury, for the companion star of the pulsar PSR 1913+16, and for the extrasolar Planet b of the star HD 80606. We also considered the case of the artificial Earth satellite GRACE-A, but the results present a low degree of reliability from a practical standpoint.

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