KIAM Main page Web Library  •  Publication Searh   
Publication

KIAM Preprint  106, Moscow, 2005
Authors: Degtyarev A.A., Mirer S. A., Sarychev V. A.
Relative equilibria and stability of a gyrostat-satellite when the vector of the gyrostatic moment is parallel to the principal central plane of inertia of the satellite
Abstract:
Dynamics of a gyrostat-satellite moving in central Newtonian force field in a circular orbit is investigated. In the particular case when the vector of the gyrostatic moment is parallel to one of the satellites principal central planes of inertia, all equilibrium orientations are determined. Conditions of equilibriums existence are obtained depending on three dimensionless parameters of the system. Detailed investigation of existence domains of various numbers of solutions is carried out. All bifurcational values of parameters at which there is a change of quantity of equilibrium orientations are determined. For each equilibrium orientation sufficient conditions of stability are obtained as a result of the generalized energy integral analysis. Evolution of domains of validity for the stability conditions are studied depending on parameters of the system.
Keywords:
gyrostat-satellite, equilibria, sufficient conditions of stability, bifurcational points
Publication language: russian,  pages: 31
Research direction:
Theoretical and applied problems of mechanics
Russian source text:
List of publications citation:
Export link to publication in format:   RIS    BibTeX
View statistics (updated once a day)
over the last 30 days 2 (-7), total hit from 01.09.2019 98
About authors:
  • Degtyarev A.A.
  • Mirer S. A.,  KIAM RAS
  • Sarychev Vasilyi Andreevich,  orcid.org/0000-0002-3070-7053KIAM RAS