Computational tools to construct semi-analytical planetary theories

Authors:
José A. López Ortí;María J. Martínez Usó;Francisco J. Marco Castillo
Affiliations:
Departamento de Matemáticas., Universidad Jaume I. Av Sos Baynat s/n, Castellón, Spain;Departamento de Matemática aplicada, Camino Vera s/n Universidad Politecnica de Valencia, Spain;Departamento de Matemática aplicada, Camino Vera s/n Universidad Politecnica de Valencia, Spain
Venue:
International Journal of Computer Mathematics - Recent Advances in Computational and Applied Mathematics in Science and Engineering
Year:
2008

Citing 4
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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.