Statistical Geometry of Gravitation

General Relativity explains with precision the anomalous advance of the perihelion of Mercury, discovered by Le Verrier in 1859. Otherwise, diverse post-Newtonian proposals trying to solve this anomaly, introduce mathematical potentials focused on a finite propagation speed. This paper tries to set some properties that should have any hypothetical gravitational potential suitable with material objects inside a physical universe. If a propagation speed is admitted, this assumption must link its origin, the continuous update, the trajectory, the retarded action and impulse mechanism (transit action) in the final target. This gravitational potential, tries to explain the anomalous shift of the perihelion of Mercury. Otherwise, applied as a potential of force added to a mechanical momentum, could give a partial explanation of the anomalous acceleration of Pioneer 10/11. Anyway, it is an hypothetical conjecture without any proof of its physical reality