Analytical computation of the Mercury perihelion precession via the relativistic gravitational law and comparison with general relativity

Athanassios S. Fokas, Constantinos G. Vayenas, D. Grigoriou

Let $r(\phi )$ denote the orbit of Mercury. We compare the formulae obtained via general relativity for $r(\phi )$ and for the corresponding perihelion precession angle $\Delta \phi$, with the form…