Perihelion advance for orbits with large eccentricities in the
  Schwarzschild black hole
  We deduce a new formula for the perihelion advance of a test particle in the
Schwarzschild black hole by applying a newly developed non-linear
transformation within the Schwarzschild space-time. By this transformation we
are able to apply the well-known formula valid in the weak-field approximation
near infinity also to trajectories in the strong-field regime near the horizon
of the black hole.
