Comparative Study Of Generalized Newton Dynamical Gravitational Scalar Potential With The Golden Riemanian Dynamical Gravitational Scalar Potential

Authors

  • Patrick Agwu OKPARA Nnaemeka Majindu,Department of Industrial Mathematics and Health Statistics, International Institute for machine learning, robotic and Artificial intelligent of David Umahi Federal University of Health Sciences, Uburu, Nigeria Author
  • Sunday Nwokpoku Aloke Department of Industrial Mathematics and Health Statistics, International Institute for machine learning, robotic and Artificial intelligent of David Umahi Federal University of Health Sciences, Uburu, Nigeria Author
  • Nelson Ezieke Nnaemeka Majindu,Department of Industrial Mathematics and Health Statistics, International Institute for machine learning, robotic and Artificial intelligent of David Umahi Federal University of Health Sciences, Uburu, Nigeria Author
  • Nnaemeka Majindu Department of Industrial Mathematics and Health Statistics, International Institute for machine learning, robotic and Artificial intelligent of David Umahi Federal University of Health Sciences, Uburu, Nigeria Author

DOI:

https://doi.org/10.60787/jnamp.vol68no1.432

Keywords:

Gravitational scalar potential, Taylor series, Golden Riemanian scalar potential, Spherical massive bodies Additional correction terms

Abstract

Over the years, there has been a growing need to generalize both Newton’s dynamical theory of gravitation and Einstein’s geometrical theory of gravitation to achieve better consistency with all physical theories. In this article, a Taylor series expansion approach was utilized to extend Newton’s dynamical gravitational field, resulting in the construction of a generalized dynamical gravitational field equation. This generalized equation was then applied to static, homogeneous spherical massive bodies to derive generalized exterior gravitational scalar potentials. The generalized dynamical gravitational scalar potential was utilized to analyze the motion of planets within the solar system. The findings reveal that this potential is enhanced by additional correction terms of all orders of ????−2 which are not present in Newton’s dynamical equation of motion. Additionally, the generalized dynamical gravitational scalar potential includes a ????−4 postNewtonian correction term. These results were compared with those obtained using the Golden Riemannian dynamical gravitational scalar.

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References

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Published

2024-10-23

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Articles

How to Cite

Comparative Study Of Generalized Newton Dynamical Gravitational Scalar Potential With The Golden Riemanian Dynamical Gravitational Scalar Potential. (2024). The Journals of the Nigerian Association of Mathematical Physics, 68, 157-162. https://doi.org/10.60787/jnamp.vol68no1.432

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