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 result wit...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2022/4808065 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832563496964849664 |
|---|---|
| author | Alvaro H. Salas S Jairo E Castillo H Lorenzo J. Martınez H |
| author_facet | Alvaro H. Salas S Jairo E Castillo H Lorenzo J. Martınez H |
| author_sort | Alvaro H. Salas S |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-67e119adfb4244a2a1e9fe621e429a05 |
| institution | Kabale University |
| issn | 1537-744X |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-67e119adfb4244a2a1e9fe621e429a052025-02-03T01:20:01ZengWileyThe Scientific World Journal1537-744X2022-01-01202210.1155/2022/4808065Perihelion Precessions of Inner Planets in Einstein’s Theory and Predicted Values for the Cosmological ConstantAlvaro H. Salas S0Jairo E Castillo H1Lorenzo J. Martınez H2Universidad Nacional de ColombiaFIZMAKO Researecg GroupUniversidad Nacional de ColombiaIn 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.http://dx.doi.org/10.1155/2022/4808065 |
| spellingShingle | Alvaro H. Salas S Jairo E Castillo H Lorenzo J. Martınez H Perihelion Precessions of Inner Planets in Einstein’s Theory and Predicted Values for the Cosmological Constant The Scientific World Journal |
| 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 |
| url | http://dx.doi.org/10.1155/2022/4808065 |
| work_keys_str_mv | AT alvarohsalass perihelionprecessionsofinnerplanetsineinsteinstheoryandpredictedvaluesforthecosmologicalconstant AT jairoecastilloh perihelionprecessionsofinnerplanetsineinsteinstheoryandpredictedvaluesforthecosmologicalconstant AT lorenzojmartınezh perihelionprecessionsofinnerplanetsineinsteinstheoryandpredictedvaluesforthecosmologicalconstant |