A Four-Body Convex Central Configuration with Perpendicular Diagonals is Necessarily a Kite

• Corbera, Montserrat ^[1] ; Cors, Josep M ^[2] ; Roberts, Gareth E ^[3]
  1. [1] Universitat de Vic

     Universitat de Vic

     Vich, España

     
  2. [2] Universitat Politècnica de Catalunya

     Universitat Politècnica de Catalunya

     Barcelona, España

     
  3. [3] College of the Holy Cross

     College of the Holy Cross

     City of Worcester, Estados Unidos

     

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• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 17, Nº 2, 2018, págs. 367-374
• Idioma: inglés
• DOI: 10.1007/s12346-017-0238-z
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• Resumen

  • We prove that any four-body convex central configuration with perpendicular diagonals must be a kite configuration. The result extends to general power-law potential functions, including the planar four-vortex problem.

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