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. © Springer Science+Business Media B.V. 2009.
CITATION STYLE
Lee, T. L., & Santoprete, M. (2009). Central configurations of the five-body problem with equal masses. Celestial Mechanics and Dynamical Astronomy, 104(4), 369–381. https://doi.org/10.1007/s10569-009-9219-0
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