Yukawa-type potential effects in the anomalistic period of celestial bodies |
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| Authors: | Ioannis Haranas Omiros Ragos Vasile Mioc |
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| Institution: | 1.Dept. of Physics and Astronomy,York University,Toronto,Canada;2.Dept. of Mathematics,University of Patras,Patras,Greece;3.Astronomical Institute of the Romanian Academy,Bucharest,Romania |
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| 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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