Cosmic Research

, Volume 43, Issue 4, pp 268–279 | Cite as

The Dynamics of a Satellite-Gyrostat with a Single Nonzero Component of the Vector of Gyrostatic Moment

  • V. A. Sarychev
  • S. A. Mirer
  • A. A. Degtyarev


The dynamics of a satellite-gyrostat moving in the central Newtonian force field along a circular orbit is studied. In the particular case when the vector of gyrostatic moment is parallel to one of the satellite’s principal central axes of inertia, all the equilibrium states are determined. For each equilibrium orientation, sufficient conditions of stability are obtained as a result of the analysis of the generalized energy integral, and necessary conditions of stability are determined as a result of analysis of the linearized equations of motion. The evolution of regions of validity for the conditions of stability of equilibrium positions are studied in detail depending on the parameters of the problem. All the bifurcation values of the parameters at which qualitative changes of the regions of stability take place are determined.


Equilibrium State Force Field Equilibrium Position Generalize Energy Central Axis 
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Copyright information

© MAIK “Nauka/Interperiodica” 2005

Authors and Affiliations

  • V. A. Sarychev
    • 1
  • S. A. Mirer
    • 1
  • A. A. Degtyarev
    • 1
  1. 1.Keldysh Institute of Applied MathematicsRussian Academy of SciencesMoscowRussia

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