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1. Relativistic Corrections

   Linked via "Newtonian model"

   Perihelion Advance
   The most famous empirical evidence necessitating GR corrections to Newtonian gravity is the anomalous precession of the perihelion of Mercury (planet)/). In the Newtonian model, the gravitational force follows an exact inverse-square law, $F \propto 1/r^2$, leading to closed elliptical orbits. However, the tiny addition of a term proportional to $1/r^3$ in the effective potential, derived from the [Schwar…