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KIAM Preprint  12, Moscow, 2014
Authors: Troitskaya A.V., Sazonov V. V.
Periodic motions of a satellite-gyrostat with a large inner angular momentum
We consider an axially symmetric satellite with a large inner angular momentum (i.e. the satellite is a gyrostat) directed along the symmetry axis. The satellite center of mass moves along a circular orbit around an attractive center, the satellite attitude motion being affected by the gravitational torque. We investigate periodic motions of the satellite symmetry axis in a vicinity of an invariable direction in the absolute space. Such motions are described by the system of differential equations of the fourth order that has periodic coefficients and contains a large parameter. We prove the unique existence of the symmetric periodic solution of the system using specific methods of large parameters.
Artificial satellite, gyrostat, periodic motions, large parameter
Publication language: russian,  pages: 18
Research direction:
Theoretical and applied problems of mechanics
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About authors:
  • Troitskaya A.V., 
  • Sazonov Victor Vasilyevich, RAS