TITLE:
The Perihelion Precession of the Planets Indicates a Variability of the Gravitational Constant
AUTHORS:
Hans Peter Weber
KEYWORDS:
Gravitational Constant, Perihelion Precession of the Planets, Gravitational Equation with Variable G
JOURNAL NAME:
Journal of Modern Physics,
Vol.14 No.5,
April
23,
2023
ABSTRACT: The gravitational constant G according to the theory of NEWTON is the most imprecise constant of all physical constants. Moreover, there are a number of phenomena which suggest that this is caused by its invariant nature and the gravitation constant might be in fact a variable. In this article, a possible dependence of the gravitational constant on the distance between the two mass points is determined from the observed values of the perihelion displacement of the planets. However, to fit the observed measurements the 1/r2 dependence is modified to a 1/r2+1/Rdependence with “R” as the Rydberg constant. With the proposed new power function, the perihelion precessions of the planets are recalculated and then compared with previous observations as well as the postulated anomaly of Saturn.