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 2^{nd} 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.

Cite this paper

Quintero-Leyva, B. (2015). On the Intrinsic Precession of the Perihelion of Mercury. Open Access Library Journal, 2, e2239. doi: http://dx.doi.org/10.4236/oalib.1102239.

Einstein, A. (1905) On the Electrodynamics of Moving Bodies. English translation from “Zur elektrodynamik bewegter Korper”, Prepared by John Walker (1999). Annalen der physic, 17, 891-921. http://www.fourmilab.ch/etexts/einstein/specrel/www/

Le
Guyader, C.I. (1993) Solution of the N-Body Problem Expanded into Taylor Series of High
Orders. Application to the Solar System over Large Time Range. Astronomy and Astrophysics, 272, 687-694.

Narlikar, J.V. and Rana, N.C. (1985) Newtonian N-Body Calculations of the Advance of Mercury Perihelion. Monthly Notices of the Royal Astronomical
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