E. T. Whittaker and G. N. Watson, “A Course of Modern Analysis,” Cambridge University Press, 1950.

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.