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Journal of Dynamics and Differential Equations

, Volume 31, Issue 4, pp 2293–2304 | Cite as

On Strictly Convex Central Configurations of the 2n-Body Problem

  • E. BarrabésEmail author
  • J. M. Cors
Article

Abstract

We consider planar central configurations of the Newtonian 2n-body problem consisting in two twisted regular n-gons of equal masses. We prove the conjecture that for \(n\ge 5\) all convex central configurations of two twisted regular n-gons are strictly convex.

Keywords

Central configuration Convex central configuration n-Body problem Twisted central configuration 

Mathematics Subject Classification

70F10 70F15 

References

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Escola Politècnica SuperiorUniversitat de GironaGironaSpain
  2. 2.Escola Politècnica Superior d’Enginyeria de ManresaUniversitat Politècnica de CatalunyaManresaSpain

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