Astronomy and Astrophysics – Astrophysics
Scientific paper
Mar 2011
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011ap%26ss.332..107h&link_type=abstract
Astrophysics and Space Science, Volume 332, Issue 1, pp.107-113
Astronomy and Astrophysics
Astrophysics
3
Celestial Mechanics, Orbital And Rotational Dynamics, Classical Field Theories
Scientific paper
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.
Haranas Ioannis
Mioc Vasile
Ragos Omiros
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