Analytical Solution Of Complete Schwarzschild\'s Planetary Equation

Abstract

It is well known how to solve the Einstein\'s planetary equation of motion by the method of successive approximation for the corresponding orbit solution. In this paper, we solve the complete schwarzschild\'s planetary equation of motion by an exact analytical method. The result reveals that there are actually eight exact linearly independent mathematical solutions, two of which are given approximately by the well known method of successive approximation.

Keywords: Analytical solution, planetary equation, planetary precession and successive

Nigerian Journal of Physics Vol. 19 (2) 2007: pp. 183-188