The precession of the orbit of a test neutral body interacting with a massive charged body

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

doi:10.1140/epjp/i2011-11117-6

Cited by 12 publications

(9 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(15). flybys in 2008-2009, is as large as 1.9 m. A numerical integration of the equations of motion of Mercury and the Earth with Q ⊙ 4.2 × 10 17 C(17)yields a Reissner-Nordström range signal with the same standard deviation;Figure 2displays it.Our model-independent, dynamical bounds for the electric charge of the Sun are ∼ 60 − 200 times more stringent than Q ⊙ 8.91 × 10 19 C inferred by the authors of Ref [96]…”

mentioning

confidence: 47%

Constraining the electric charges of some astronomical bodies in Reissner–Nordström spacetimes and generic r −2-type power-law potentials from orbital motions

Iorio

2012

Gen Relativ Gravit

View full text Add to dashboard Cite

We put independent model dynamical constraints on the net electric charge Q of some astronomical and astrophysical objects by assuming that their exterior spacetimes are described by the Reissner-Nordström metric, which induces an additional potential U RN ∝ Q 2 r −2 . From the current bounds ∆̟ on any anomalies in the secular perihelion rate̟ of Mercury and the Earth-mercury ranging ∆ρ, we have |Q ⊙ | 1 − 0.4 × 10 18 C. Such constraints are ∼ 60 − 200 times tighter than those recently inferred in literature. For the Earth, the perigee precession of the Moon, determined with the Lunar Laser Ranging (LLR) technique, and the intersatellite ranging ∆ρ for the GRACE mission yield |Q ⊕ | 5 − 0.4 × 10 14 C. The periastron rate of the double pulsar PSR J0737-3039A/B system allows to infer |Q NS | 5 × 10 19 C. According to the perinigricon precession of the main sequence S2 star in Sgr A * , the electric charge carried by the compact object hosted in the Galactic Center may be as large as |Q • | 4 × 10 27 C. Our results extend to other hypothetical power-law interactions inducing extra-potentials U pert = Ψr −2 as well. It turns out that the terrestrial GRACE mission yields the tightest constraint on the parameter Ψ, assumed as a universal constant, amounting to |Ψ| 5 × 10 9 m 4 s −2 .

show abstract

mentioning

confidence: 47%

Constraining the electric charges of some astronomical bodies in Reissner–Nordström spacetimes and generic r −2-type power-law potentials from orbital motions

Iorio

2012

Gen Relativ Gravit

View full text Add to dashboard Cite

show abstract

“…In this section, by using the first-order geodesic deviation equation and inserting equations (23), (24) and (25)…”

Section: The Second-order Geodesic Deviationmentioning

confidence: 99%

“…Recently, an analytical computation of the perihelion advance in general relativity via the Homotopy perturbation method has been proposed in [9]. Also, one can study the perihelion advance of planets in general relativity and modified theories of gravity by using different methods in [10]- [24].…”

Section: Introductionmentioning

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

View full text Add to dashboard Cite

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.

show abstract

“…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

View full text Add to dashboard Cite

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.

show abstract

The precession of the orbit of a test neutral body interacting with a massive charged body

Cited by 12 publications

References 18 publications

Constraining the electric charges of some astronomical bodies in Reissner–Nordström spacetimes and generic r −2-type power-law potentials from orbital motions

Constraining the electric charges of some astronomical bodies in Reissner–Nordström spacetimes and generic r −2-type power-law potentials from orbital motions

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

Contact Info

Product

Resources

About