Stability of the permanent rotations of an asymmetric gyrostat in a uniform Newtonian field

  1. Iñarrea, M. 1
  2. Lanchares, V. 1
  3. Pascual, A.I. 1
  4. Elipe, A. 23
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  2. 2 Centro Universitario de la Defensa de Zaragoza, Zaragoza, Spain
  3. 3 Universidad de Zaragoza
    info

    Universidad de Zaragoza

    Zaragoza, España

    ROR https://ror.org/012a91z28

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Revista:
Applied Mathematics and Computation

ISSN: 0096-3003

Año de publicación: 2017

Volumen: 293

Páginas: 404-415

Tipo: Artículo

DOI: 10.1016/J.AMC.2016.08.041 SCOPUS: 2-s2.0-84985945406 WoS: WOS:000385334800033 GOOGLE SCHOLAR

Otras publicaciones en: Applied Mathematics and Computation

Proyectos relacionados

Sistemas dinámicos hamiltonianos: métodos y aplicaciones en física atómica y molecular y otros campos de interes. Hamiltonian dynamical systems: methods and applications in atomic and molecular physics and other fields of interest.

2015/00070/001

Resumen

The stability of the permanent rotations of a heavy gyrostat is analyzed by means of the Energy-Casimir method. Sufficient and necessary conditions are established for some of the permanent rotations. The geometry of the gyrostat and the value of the gyrostatic moment are relevant in order to get stable permanent rotations. Moreover, the necessary conditions are also sufficient, for some configurations of the gyrostat. © 2016 Elsevier Inc.