Yukawa effects on the mean motion of an orbiting body

Haranas, Ioannis; Kotsireas, Ilias S.; Gómez, G.; Fullana, M. J.; Gkigkitzis, Ioannis

doi:10.1007/s10509-016-2946-2

Cited by 7 publications

(15 citation statements)

References 37 publications

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“…This in turn may lead to some oscillating collective behaviors in complex plasmas. Another important application of yukawa potential is in astronomy to explain anomaly in the period of orbits of planets [8], mean motion of planets in solar system [13] and in long time run of satellites [9]. For astrophysical measurements based on radar signals near the sun, get also affected by the yukawa correction term in gravitational potential [16].…”

Section: Discussionmentioning

confidence: 99%

Single particle closed orbits in Yukawa potential

Mukherjee

Sounda

2017

Indian J Phys

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Abstract:We study the orbit of a single particle moving under the Yukawa potential and observe the precessing ellipse type orbits. The amount of precession can be tuned through the coupling parameter α. With a suitable choice of the coupling parameter; we can get a closed bound orbit. In some cases we have observed some petals which can also have a closed bound nature with an appropriate choice of the coupling constant. A threshold energy has also been calculated for the boundness of the orbits.

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Section: Discussionmentioning

confidence: 99%

Single particle closed orbits in Yukawa potential

Mukherjee

Sounda

2017

Indian J Phys

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“…The cosmic microwave background together with the baryon acoustic oscillations restricts the change of the effective gravitational constant between the recombination and the present epochs to be quite small, [25,26], while the current Solar System constraints on the time variantion of G are also very strict [34,35]. Similarly, the motions of objects in the Solar [36][37][38][39] and extra-Solar [40] systems as well as of stars around the massive body in the galactic center [41] are consistent with no significant distance variation of the gravitational constant or a Yukawa type correction. In principle these observations can be employed to constrain the parameters of the models with nonminimally coupled scalar fields (as we did using the PPN parameters [13,29]), however that task remains beyond the scope of the present note.…”

Section: Observational Constraintsmentioning

confidence: 99%

Effective Gravitational “Constant” in Scalar-(Curvature)Tensor and Scalar-Torsion Gravities

Järv

2017

Universe

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Abstract:In theories where a scalar field couples nonminimally to gravity, the effective gravitational "constant" becomes dependent on the value of the scalar field. This note first gives a brief review on how the cosmological evolution provides a dynamical stabilization for the gravitational "constant" as the system relaxes towards general relativity in matter dominated and potential dominated regimes for scalar-(curvature)tensor and scalar-torsion gravities. Second part summarizes the radius dependence of the gravitational "constant" around a point mass in the parametrized post-Newtonian formalism for scalar-tensor and multiscalar-tensor gravity.

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“…With the potential being central, the two-body problem can be reduced to a central-force problem, and the motion of the secondary body can be examined. The effects of gravity on the secondary in the presence of a Yukawa correction can be described by the modified potential energy per unit mass [13].…”

Section: The Yukawa Potentialmentioning

confidence: 99%

“…In Haranas et al [13] and Moffat and Toth [16], the strength of the potential near the sun in a point source scenario is given by the following equation:…”

Section: The Yukawa Potential Range and The Particle Mediating The Inmentioning

confidence: 99%

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Yukawa Potential Orbital Energy: Its Relation to Orbital Mean Motion as well to the Graviton Mediating the Interaction in Celestial Bodies

Martz

Middelkoop

Gkigkitzis³

et al. 2019

Advances in Mathematical Physics

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Research on gravitational theories involves several contemporary modified models that predict the existence of a non-Newtonian Yukawa-type correction to the classical gravitational potential. In this paper we consider a Yukawa potential and we calculate the time rate of change of the orbital energy as a function of the orbital mean motion for circular and elliptical orbits. In both cases we find that there is a logarithmic dependence of the orbital energy on the mean motion. Using that, we derive an expression for the mean motion as a function of the Yukawa orbital energy, as well as specific Yukawa potential parameters. Furthermore, various special cases are examined. Lastly, expressions for the Yukawa range λ and coupling constant α are also derived. Finally, an expression for the mass of the graviton mgr mediating the interaction is calculated using the expression its Compton wavelength (i.e., the potential range λ). Numerical estimates for the mass of the graviton mediating the interaction are finally obtained at various eccentricity values and in particular at the perihelion and aphelion points of Mercury’s orbit around the sun.

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Yukawa effects on the mean motion of an orbiting body

Cited by 7 publications

References 37 publications

Single particle closed orbits in Yukawa potential

Single particle closed orbits in Yukawa potential

Effective Gravitational “Constant” in Scalar-(Curvature)Tensor and Scalar-Torsion Gravities

Yukawa Potential Orbital Energy: Its Relation to Orbital Mean Motion as well to the Graviton Mediating the Interaction in Celestial Bodies

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