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International Journal of Computer Mathematics Volume 85, 2008 - Issue 3-4: Recent Advances in Computational and Applied Mathematics in Science and Engineering
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Original Articles

Computational tools to construct semi-analytical planetary theories

José A. López Ortí Departamento de Matemáticas., Universidad Jaume I. Av Sos Baynat s/n, 12071, Castellón, SpainCorrespondence[email protected]
,
María J. Martínez Usó Departamento de Matemática aplicada, Camino Vera s/n Universidad Politecnica de Valencia, Spain
&
Francisco J. Marco Castillo Departamento de Matemática aplicada, Camino Vera s/n Universidad Politecnica de Valencia, Spain
Pages 497-508 | Received 16 Feb 2007, Accepted 08 Mar 2007, Published online: 22 Sep 2010
 
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Abstract

The main aim of this paper is the construction of a set of computational tools in order to improve the management of large expansions used in celestial mechanics. This package involves an iterative algorithm to develop the inverse of the distance according to an appropriate set of temporal variables, a new Poisson series processor, and an iterative integration method to obtain the solution of Lagrange planetary equations. The method has been applied to compute a set of examples using several kinds of anomalies in order to test the performance of the algorithms.

Acknowledgements

This research was partially supported by Grant GV05/004 from the Generalitat Valenciana and Grant P1-1B2003-12 from Bancaja.

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