The precession of the orbit of a charged body interacting with a massive charged body in General Relativity

Avalos-Vargas, A.; Parga, G. Ares de

doi:10.1140/epjp/i2012-12155-2

Cited by 16 publications

(13 citation statements)

References 34 publications

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“…Finally, it is worth stressing that in contrast to the Post-Newtonian expansion [44,45,46] where the orbits are calculated in an almost Minkowski space-time and the corrections due to the non-zero curvature are added perturbatively, there is no such constraints on the curvature of space-time in the geodesic deviation method and the fully relativistic effects are taken into account. Also, the additional terms of the form M/R obtained in the geodesic deviation method when compared to similar solutions in the standard approximation result in better accuracies.…”

Section: Discussionmentioning

confidence: 99%

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

Heydari-Fard

Sepangi

2019

Gen Relativ Gravit

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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 /Rc 2 .

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Section: Discussionmentioning

confidence: 99%

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

Heydari-Fard

Sepangi

2019

Gen Relativ Gravit

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“…It can be seen from above equation that the charge parameter, Q, decreases the perihelion advance. In the perturbation method (Einstein's method), the orbital motion for charged particles moving in the equatorial plane of the Reissner-Nordstrom source is given by [23]…”

Section: First-order Geodesic Deviation Around the Circular Orbitsmentioning

confidence: 99%

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

Heydari-Fard

Fakhry

Hasani

2019

Advances in High Energy Physics

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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 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.

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“…Using Reissner–Nordström solution in the place of Schwarzschild solution, it is possible to take under consideration an electric charge of the Sun and a planet (see Ref. ). However, it would be necessary to consider charged bodies in astrophysics and electrostatic interactions which are stronger than gravitational ones.…”

Section: A Perihelion Shift and A Distortion Of Elliptic Orbitsmentioning

confidence: 99%

Pioneer 10 and 11 Spacecraft Anomalous Acceleration in the light of the Nonsymmetric Kaluza–Klein (Jordan–Thiry) Theory

Kalinowski

2015

Fortschritte der Physik

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The Nonsymmetric Kaluza–Klein (Jordan–Thiry) Theory leads to a model of a modified acceleration that can fit an anomalous acceleration experienced by the Pioneer 10 and 11 spacecraft. The future positions of those spacecrafts are predicted using distorted hyperbolic orbit. A connection between an anomalous acceleration and a Hubble constant is solved in the theory together with a relation to a cosmological constant in CDMΛ model. In the paper we consider an exact solution of a point mass motion in the Solar System under an influence of an anomalous acceleration. We find two types of orbits: periodic and chaotic. Both orbits are bounded. This means there is no possibility to escape from the Solar System. Some possibilities to avoid this conclusion are considered. We resolve also a coincidence between an anomalous acceleration and the cosmological constant using a paradigm of modern cosmology. Relativistic effects and a cosmological drifting of a gravitational constant are considered. The model of an anomalous acceleration does not cause any contradiction with Solar System observations. We give a full statistical analysis of the model. We consider also a full formalism of the Nonsymmetric Jordan–Thiry Theory for the problem and present a relativistic model of an anomalous acceleration. We consider the model for General Relativity approximation, i.e. gμν≠ημν (gμν=gνμ). In this model there are no contradictions with General Relativity tests in the Solar System. Pioneer 10/11 spacecrafts will come back in 106 years (a time scale of our periodic solutions is 106 years). Moreover, almost relativistic or relativistic spacecrafts can escape from the Solar System. We consider also a model of a relativistic acceleration which is more complicated, with gμν≠gνμ taken into account.

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The precession of the orbit of a charged body interacting with a massive charged body in General Relativity

Cited by 16 publications

References 34 publications

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

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

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

Pioneer 10 and 11 Spacecraft Anomalous Acceleration in the light of the Nonsymmetric Kaluza–Klein (Jordan–Thiry) Theory

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