University of Technology-IraqEngineering and Technology Journal1681-690028720100328An Improved Algorithm For The Solution of Kepler‘s Equation For An Elliptical Orbitخوارزمية محسنة لحل معادلة كبلر للمدار الاهليجي1316132027207ENMohammed S. RasheedJournal Article20100301In 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).https://etj.uotechnology.edu.iq/article_27207_4462cc69cd37a4e9b39510241a355be5.pdf