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An Improved Algorithm For The Solution of Kepler‘s Equation For An Elliptical Orbit | ||
| Engineering and Technology Journal | ||
| Article 1, Volume 28, Issue 7, 2010, Pages 1316-1320 PDF (107.31 K) | ||
| DOI: 10.30684/etj.28.7.4 | ||
| Author | ||
| Mohammed S. Rasheed | ||
| 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 | ||
| Kepler; Iterative method; Aitken; extrapolation technique | ||
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