Mohammed S. Rasheed
Abstract
In this paper, a root finding method due to iterative method is used first to thesolution of Kepler's equation for an elliptical orbit. Then the extrapolationtechnique in the form of ...
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In this paper, a root finding method due to iterative method is used first to thesolution of Kepler's equation for an elliptical orbit. Then the extrapolationtechnique in the form of Aitken D2 - acceleration is applied to improve theconvergence of the iterative method.In addition, by making use a new improvement to Aitken's method enables oneto obtain efficiently the numerical solution of the Kepler's equation. The speed ofthe proposed algorithms is compared using different values of eccentricity( e ) inthe range eÎ( 0,1 ) and for given mean anomaly (M).
