An Improved Algorithm For The Solution of Kepler 's Equation For An Elliptical Orbit
In this paper, a root finding method due to iterative method is used first to the solution of Kepler's equation for an elliptical orbit. Then the extrapolation technique in the form of Aitken Δ 2 acceleration is applied to improve the convergence of the iterative method. In addition, by making use a new improvement to Aitken's method enables one to obtain efficiently the numerical solution of the Kepler's equation. The speed of the proposed algorithms is compared using different values of eccentricity ) ( e in the range ) 1 , 0 ( ∈ e and for given mean anomaly (M).