Perihelion Precessions of Inner Planets in Einstein's Theory and Predicted Values for the Cosmological Constant. (28th October 2022)

• Record Type: Journal Article
• Authors: Salas S, Alvaro H.; Castillo H, Jairo E; Martınez H, Lorenzo J.
• Other Names: Bellucci Stefano Academic Editor.
• Is Part Of: TheScientificWorldjournal. Volume 2022(2022)
• Publication Date: 2022-10-28
• Subjects: Science -- Periodicals; Technology -- Periodicals; Medicine -- Periodicals; 505
• DOI: 10.1155/2022/4808065
• Languages: English
• ISSNs: 2356-6140

Abstract

Abstract : 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.