Approximate Solutions of Barker Equation in Parabolic Orbits

Abstract

The basic motivation of this paper is to apply the Horner‘s method to performthe steps in Newton and improved Newton methods for approximating the Solutionof Barker‘s equation in parabolic motion.A simple starting value for the iterative solutions is suggested. Some Numericalapplications are presented and show that only little iteration is required to obtainapproximate solutions which are found to be accurate and efficient.