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KIAM Preprint № 47, Moscow, 2003
Authors: Kuleshov A.S.
On the First Integrals of Equations of Motion of a Symmetric Gyrostat on a Perfectly Rough Plane.
The problem on a motion of a heavy dynamically symmetric gyrostat, bounded by a surface of rotation, on a fixed horizontal plane without sliding is studied. In a case, when the bounded surface and distribution of mass of a gyrostat satisfy to certain condition, the explicit forms of two first integrals of equations of motion of a gyrostat, in addition to the energy integral, are found. These integrals are linear with respect to generalized velocities.
Publication language: russian,  pages: 24
Research direction:
Theoretical and applied problems of mechanics
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About authors:
  • Kuleshov A.S.