Author
Abstract
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 D2 - 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 eÎ( 0,1 ) and for given mean anomaly (M).
Keywords
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