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Higher-order geodesic deviations and orbital precession in a Kerr–Newman space–time

A novel approximation method in studying the perihelion precession and planetary orbits in general relativity is to use geodesic deviation equations of first and high-orders, proposed by Kerner et al. Using higher-order geodesic deviation approach, we generalize the calculation of orbital precession...

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Bibliographic Details
Published in:General relativity and gravitation 2019-06, Vol.51 (6), p.1-19, Article 77
Main Authors: Heydari-Fard, Mohaddese, Heydari-Fard, Malihe, Sepangi, Hamid Reza
Format: Article
Language:English
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Summary:A novel approximation method in studying the perihelion precession and planetary orbits in general relativity is to use geodesic deviation equations of first and high-orders, proposed by Kerner et al. Using higher-order geodesic deviation approach, we generalize the calculation of orbital precession and the elliptical trajectory of neutral test particles to Kerr–Newman space–times. One of the advantage of this method is that, for small eccentricities, one obtains trajectories of planets without using Newtonian and post-Newtonian approximations for arbitrary values of quantity GM / R c 2 .
ISSN:0001-7701
1572-9532
DOI:10.1007/s10714-019-2557-7