Perihelion Precessions of Inner Planets in Einstein's Theory and Predicted Values for the Cosmological Constant

In this paper, we obtain the approximate value of 42.9815 arcsec/century for Mercury's perihelion precession by solving both numerically and analytically the nonlinear ordinary differential equation derived from the geodesic equation in Einstein's Theory of Relativity. We also compare our...

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Autores principales: Salas S, Alvaro H., Castillo H, Jairo E, Martınez H, Lorenzo J.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi 2022
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9635960/
https://www.ncbi.nlm.nih.gov/pubmed/36341161
http://dx.doi.org/10.1155/2022/4808065
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author Salas S, Alvaro H.
Castillo H, Jairo E
Martınez H, Lorenzo J.
author_facet Salas S, Alvaro H.
Castillo H, Jairo E
Martınez H, Lorenzo J.
author_sort Salas S, Alvaro H.
collection PubMed
description In this paper, we obtain the approximate value of 42.9815 arcsec/century for Mercury's perihelion precession by solving both numerically and analytically the nonlinear ordinary differential equation derived from the geodesic equation in Einstein's Theory of Relativity. We also compare our result with known results, and we illustrate graphically the way Mercury's perihelion moves. The results we obtained are applicable to any body that moves around the Sun. We give predictions about the value of the Cosmological Constant. Simple algebraic formulas allow to estimate perihelion shifts with high accuracy.
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spelling pubmed-96359602022-11-05 Perihelion Precessions of Inner Planets in Einstein's Theory and Predicted Values for the Cosmological Constant Salas S, Alvaro H. Castillo H, Jairo E Martınez H, Lorenzo J. ScientificWorldJournal Research Article In this paper, we obtain the approximate value of 42.9815 arcsec/century for Mercury's perihelion precession by solving both numerically and analytically the nonlinear ordinary differential equation derived from the geodesic equation in Einstein's Theory of Relativity. We also compare our result with known results, and we illustrate graphically the way Mercury's perihelion moves. The results we obtained are applicable to any body that moves around the Sun. We give predictions about the value of the Cosmological Constant. Simple algebraic formulas allow to estimate perihelion shifts with high accuracy. Hindawi 2022-10-28 /pmc/articles/PMC9635960/ /pubmed/36341161 http://dx.doi.org/10.1155/2022/4808065 Text en Copyright © 2022 Alvaro H. Salas S et al. https://creativecommons.org/licenses/by/4.0/This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Salas S, Alvaro H.
Castillo H, Jairo E
Martınez H, Lorenzo J.
Perihelion Precessions of Inner Planets in Einstein's Theory and Predicted Values for the Cosmological Constant
title Perihelion Precessions of Inner Planets in Einstein's Theory and Predicted Values for the Cosmological Constant
title_full Perihelion Precessions of Inner Planets in Einstein's Theory and Predicted Values for the Cosmological Constant
title_fullStr Perihelion Precessions of Inner Planets in Einstein's Theory and Predicted Values for the Cosmological Constant
title_full_unstemmed Perihelion Precessions of Inner Planets in Einstein's Theory and Predicted Values for the Cosmological Constant
title_short Perihelion Precessions of Inner Planets in Einstein's Theory and Predicted Values for the Cosmological Constant
title_sort perihelion precessions of inner planets in einstein's theory and predicted values for the cosmological constant
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9635960/
https://www.ncbi.nlm.nih.gov/pubmed/36341161
http://dx.doi.org/10.1155/2022/4808065
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