On Sufficient Conditions of Stability of the Permanent Rotations of a Heavy Triaxial Gyrostat

• M. Teresa de Bustos Muñoz ^[1] ; Juan Luis García Guirao ^[2] ; Juan Antonio Vera López ^[2] ; Antonio Vigueras Campuzano ^[2]
  1. [1] Universidad de Salamanca

     Universidad de Salamanca

     Salamanca, España

     
  2. [2] Universidad Politécnica de Cartagena

     Universidad Politécnica de Cartagena

     Cartagena, España

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 14, Nº 2, 2015 (Ejemplar dedicado a: Hamiltonian Systems and Celestial Mechanics, HAMSYS-2014), págs. 265-280
• Idioma: inglés
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• Resumen

  • In this work using as a main tool geometric–mechanics methods we study the permanent rotations of a particular type of heavy triaxial gyrostat. Also, we obtain sufficient conditions of stability of the permanent rotations found previously through the Energy–Casimir method.