Stability of permanent rotations of a heavy asymmetric gyrostat

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

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  2. 2 Universidad de Zaragoza
    info

    Universidad de Zaragoza

    Zaragoza, España

    ROR https://ror.org/012a91z28

Journal:
Advances in the Astronautical Sciences

ISSN: 0065-3438

Year of publication: 2017

Volume: 160

Pages: 2663-2682

Type: Article

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SCOPUS: 2-s2.0-85031016965 WoS: WOS:000433401100156 GOOGLE SCHOLAR

More publications in: Advances in the Astronautical Sciences

Related Projects

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

Abstract

For this problem, we obtain the possible permanent rotations, that is, the equilibria of the system. The stability of those permanent rotations is analyzed by means of the Energy-Casimir method. We are able to give necessary and sufficient conditions 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, it seems that the necessary conditions are also sufficient, but, however, this fact can only be proved partially.

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Funding information

This work has been partially supported by the Spanish Ministry of Economy, projects MTM2014-59433-C2-2-P and ESP2013-44217-R. A.E. also acknowledges support from the group E-48 of the Aragon Government and FEDER funds.

Funders

  • Spanish Ministry of Economy
    • MTM2014-59433-C2-2-P
    • ESP2013-44217-R
  • group E-48 of the Aragon Government
  • FEDER funds