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

  1. M. Teresa de Bustos Muñoz 1
  2. Juan Luis García Guirao 2
  3. Juan Antonio Vera López 2
  4. Antonio Vigueras Campuzano 2
  1. 1 Universidad de Salamanca
    info

    Universidad de Salamanca

    Salamanca, España

    ROR https://ror.org/02f40zc51

  2. 2 Universidad Politécnica de Cartagena
    info

    Universidad Politécnica de Cartagena

    Cartagena, España

    ROR https://ror.org/02k5kx966

Journal:
Qualitative theory of dynamical systems

ISSN: 1575-5460

Year of publication: 2015

Issue Title: Hamiltonian Systems and Celestial Mechanics, HAMSYS-2014

Volume: 14

Issue: 2

Pages: 265-280

Type: Article

More publications in: Qualitative theory of dynamical systems

Abstract

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.