A Counterexample to a Generalized Saari’s Conjecture with a Continuum of Central Configurations

Abstract

In this paper we show that in the n-body problem with harmonic potential one can find a continuum of central configurations for n = 3. Moreover we show a counterexample to an interpretation of Jerry Marsden Generalized Saari’s conjecture. This will help to refine our understanding and formulation of the Generalized Saari’s conjecture, and in turn it might… (More)

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Cite this paper

@inproceedings{Santoprete2009ACT, title={A Counterexample to a Generalized Saari’s Conjecture with a Continuum of Central Configurations}, author={Manuele Santoprete and Gareth M Roberts and Felipe Alfaro and Florin Diacu and Ernesto P{\'e}rez-Chavela}, year={2009} }