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International Journal of Computer Mathematics Volume 86, 2009 - Issue 10-11: COMPUTATIONAL AND MATHEMATICAL METHODS IN SCIENCE AND ENGINEERING
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Original Articles

A method to improve the computation of tidal potential in the equilibrium configuration of a close binary system

José A. López Ortí Departamento de Matemáticas, Universidad Jaume I, Av Sos Baynat, s/n, 12071, Castellón, SpainCorrespondence[email protected]
,
Manuel Forner Gumbau Departamento de Matemáticas, Universidad Jaume I, Av Sos Baynat, s/n, 12071, Castellón, Spain
&
Miguel Barreda Rochera Departamento de Matemáticas, Universidad Jaume I, Av Sos Baynat, s/n, 12071, Castellón, Spain
Pages 1831-1840 | Received 09 Sep 2008, Published online: 18 Nov 2010
 
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Abstract

A classical problem in celestial mechanics is the study of equilibrium configuration figures of extended deformable bodies. A particularly interesting case of this problem is the study of the figures of equilibrium of close binary systems. In this paper an improved theory of tidal potential using Clairaut coordinates has been developed by two methods, one based in analytical developments and one iterative.

2000 AMS Subject Classifications :

Acknowledgements

This work has been partially supported by grant P1-1B2006-11 from the Caja Castellón Foundation.

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