Light bending and perihelion precession: A unified approach

Details Light bending and perihelion precession: A unified approach Light bending and perihelion precession: A unified approach

1997-12-19

arxiv.org/abs/gr-qc/9712082v1

Am.J.Phys. 67 (1999) 316

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, LaTeX (Revtex). Submitted to Am. J. Phys

Scientific paper

10.1119/1.19255

The standard General Relativity results for precession of particle orbits and for bending of null rays are derived as special cases of perturbation of a quantity that is conserved in Newtonian physics, the Runge-Lenz vector. First this method is applied to give a derivation of these General Relativity effects for the case of the spherically symmetric Schwarzschild geometry. Then the lowest order correction due to an angular momentum of the central body is considered. The results obtained are well known, but the method used is rather more efficient than that found in the standard texts, and it provides a good occasion to use the Runge-Lenz vector beyond its standard applications in Newtonian physics.

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