TITLE:
An Extended Newtonian Theory for Gravitational Bound Systems
AUTHORS:
Barbaro Quintero-Leyva
KEYWORDS:
Celestial Mechanics, Newtonian Gravitation, Newton’s 2nd Law, Theory of Relativity, Perihelion Precession, Cosmology
JOURNAL NAME:
Open Access Library Journal,
Vol.3 No.6,
June
13,
2016
ABSTRACT: A physical fundament was derived to support the empirical correction to
the balance between the force given by Newton 2nd law and Newton
gravitation introduced previously by the author to account for the perihelion precession
of Mercury. An equation was obtained that coincided in sign and magnitude with
the Einstein perihelion shift when the 3rd law of Kepler was used to
express the orbital period in term of the semi-major axis and the same level of
accuracy was demanded. Other more accurate equations for the intrinsic
perihelion shift were obtained that resulted in a relative deviation of about
1% or less.