M. Abramowitz and I. A. Stegun, “Handbook of Mathematical Functions,” Dover Publications, Inc., New York.
has been cited by the following article:
TITLE: Schwarzschild Geodesics in Terms of Elliptic Functions and the Related Red Shift
AUTHORS: Gunter Scharf
KEYWORDS: Schwarzschild Geodesics, Red Shift
JOURNAL NAME: Journal of Modern Physics, Vol.2 No.4, April 22, 2011
ABSTRACT: Using Weierstrassian elliptic functions the exact geodesics in the Schwarzschild metric are expressed in a simple and most transparent form. The results are useful for analytical and numerical applications. For example we calculate the perihelion precession and the light deflection in the post-Einsteinian approximation. The bounded orbits are computed in the post-Newtonian order. As a topical application we calculate the gravitational red shift for a star moving in the Schwarzschild field.