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Advances in High Energy Physics
Volume 2019, Article ID 1879568, 10 pages
https://doi.org/10.1155/2019/1879568
Research Article

Perihelion Advance and Trajectory of Charged Test Particles in Reissner-Nordstrom Field via the Higher-Order Geodesic Deviations

1Department of Physics, The University of Qom, P.O. Box 37185-359, Qom, Iran
2Department of Physics, Shahid Beheshti University, G. C., Evin, Tehran 19839, Iran

Correspondence should be addressed to Malihe Heydari-Fard; ri.ca.moq@drafiradyeh

Received 20 February 2019; Revised 4 May 2019; Accepted 20 May 2019; Published 3 June 2019

Guest Editor: Saibal Ray

Copyright © 2019 Malihe Heydari-Fard et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Abstract

By using the higher-order geodesic deviation equations for charged particles, we apply the method described by Kerner et.al. to calculate the perihelion advance and trajectory of charged test particles in the Reissner-Nordstrom space-time. The effect of charge on the perihelion advance is studied and we compared the results with those obtained earlier via the perturbation method. The advantage of this approximation method is to provide a way to calculate the perihelion advance and orbit of planets in the vicinity of massive and compact objects without considering Newtonian and post-Newtonian approximations.