An Improved Algorithm For The Solution of Kepler‘s Equation For An Elliptical Orbit
Engineering and Technology Journal,
2010, Volume 28, Issue 7, Pages 1316-1320
AbstractIn 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).
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