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arXiv · 1104.3253

Perihelion advance for orbits with large eccentricities in the Schwarzschild black hole

H. -J. Schmidt
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Abstract

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.

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H. -J. Schmidt. 2011-05-18. Perihelion advance for orbits with large eccentricities in the Schwarzschild black hole. https://doi.org/10.1103/physrevd.83.124010

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