Yukawa Potential Orbital Energy: Its Relation to Orbital Mean Motion as well to the Graviton Mediating the Interaction in Celestial Bodies
Joint Authors
Martz, Connor
Van Middelkoop, Sheldon
Gkigkitzis, Ioannis
Kotsireas, Ilias
Haranas, Ioannis
Source
Advances in Mathematical Physics
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-01-01
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
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 m g r 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.
American Psychological Association (APA)
Martz, Connor& Van Middelkoop, Sheldon& Gkigkitzis, Ioannis& Haranas, Ioannis& Kotsireas, Ilias. 2019. Yukawa Potential Orbital Energy: Its Relation to Orbital Mean Motion as well to the Graviton Mediating the Interaction in Celestial Bodies. Advances in Mathematical Physics،Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1118992
Modern Language Association (MLA)
Martz, Connor…[et al.]. Yukawa Potential Orbital Energy: Its Relation to Orbital Mean Motion as well to the Graviton Mediating the Interaction in Celestial Bodies. Advances in Mathematical Physics No. 2019 (2019), pp.1-10.
https://search.emarefa.net/detail/BIM-1118992
American Medical Association (AMA)
Martz, Connor& Van Middelkoop, Sheldon& Gkigkitzis, Ioannis& Haranas, Ioannis& Kotsireas, Ilias. Yukawa Potential Orbital Energy: Its Relation to Orbital Mean Motion as well to the Graviton Mediating the Interaction in Celestial Bodies. Advances in Mathematical Physics. 2019. Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1118992
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1118992