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Publication: Central configurations of the five-body problem with equal masses

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Title Central configurations of the five-body problem with equal masses
Authors/Editors* T. Lee, M. Santoprete
Where published* Celestial Mechanics and Dynamical Astronomy
How published* Journal
Year* 2009
Volume DOI: 10.1007/s10569-009-9219-0
Number Appeared online, to appear in print
Pages
Publisher Springer
Keywords Celestial mechanics - n-Body problem - Central configurations - Polyedral homotopy continuation method Contact Information Tsung-Lin Lee (Corresponding author) Email: leetsung@msu.edu
Link http://www.springerlink.com/content/335r547725740316/?p=6f65a89aade1406c96c4ed9cb793d06c&pi=3
Abstract
In this paper we present a complete classification of the isolated central configurations of the five-body problem with equal masses. This is accomplished by using the polyhedral homotopy method to approximate all the isolated solutions of the Albouy-Chenciner equations. The existence of exact solutions, in a neighborhood of the approximated ones, is then verified using the Krawczyk method. Although the Albouy-Chenciner equations for the five-body problem are huge, it is possible to solve them in a reasonable amount of time.
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