TITLE:
On the Intrinsic Precession of the Perihelion of Mercury
AUTHORS:
Barbaro Quintero-Leyva
KEYWORDS:
Celestial Mechanics, Newtonian Gravitation, Newton’s 2nd Law, Special Theory of Relativity, Mercury Perihelion Precession
JOURNAL NAME:
Open Access Library Journal,
Vol.2 No.12,
December
22,
2015
ABSTRACT: The longitude of the perihelion advance of Mercury was calculated for the
two and ten-body problem by using a correction to the balance between the force
given by the Newton 2nd law of motion and the Newton gravitational
force. The corresponding system of differential equations was solved
numerically. The correction, that expresses the apparent mass variation with
the body speed, has a trend that is different from those that usually appear in
the electron theory and in the special theory of relativity. The calculated
intrinsic precession was ~42.95 arc-sec/cy for the Sun-Mercury system and
~42.98 arc-sec/cy when the difference between the corrected model and the Newtonian
model, for the 10-body problem, is taken.