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Precessional motions of a gyrostat with variable gyrostatic momentum under the potential and gyroscopic forces
Journal: Mekhanika tverdogo tela (Vol.40, No. 1)Publication Date: 2010-12-28
Authors : O.V. Maznyev;
Page : 91-102
Keywords : gyrostat; precession; gyrostatic momentum; pendulum motions; potential and gyroscopic forces;
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- Precessional motions of a gyrostat with variable gyrostatic momentum under the potential and gyroscopic forces
- On two linear invariant relations of gyrostat motion equations with a variable gyrostatic momentum under the action of potential and gyroscopic forces
- Linear invariant relation for equations of motion of a gyrostat with variable gyrostatic moment in the magnetic field
- On gyrostat motions characterized by linear in angular velocity invariant relations
- The existence conditions for periodic motions of the Kowalevski gyrostat in double force field
Abstract
The problem of gyrostat motion under the potential and gyroscopic forces is considered for the case of variable gyrostatic momentum. For the class of precessional motions, a reduction of the six Kirchhoff-Poisson equations to the system of three ordinary differential equations is presented. The pendulum motions are investigated as an example.
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Last modified: 2013-01-09 17:00:36