This article checks a perturbing gravitational potential, with some orbit dynamics parameters: the angular precession at each single point of any elliptic orbit, the increase of the eccentricity of the Moon and the secular increase of the Astronomical Unit. This potential is consistent with the solution of the precession of Mercury, event which was the first success of General Relativity, and now is near to reach its first centenary. We suggest in this paper to update the classic test of G.R., studying the gradual progression of precession, not only in its perihelion but testing a complete trajectory around the Sun.