On some classes of regular precession of a gyrostat with variable gyrostatic momentum with respect to an inclined axis in the generalized dynamic problem (Q2879972)

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scientific article; zbMATH DE number 6022819
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English
On some classes of regular precession of a gyrostat with variable gyrostatic momentum with respect to an inclined axis in the generalized dynamic problem
scientific article; zbMATH DE number 6022819

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    10 April 2012
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    regular precession
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    pendulum motions
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    potential and gyroscopic forces
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    On some classes of regular precession of a gyrostat with variable gyrostatic momentum with respect to an inclined axis in the generalized dynamic problem (English)
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    This paper deals with the Kirchhoff-Poisson equations describing the motion of a gyrostat under the action of potential and gyroscopic forces. The authors assume that the angle between a fixed axis and a direction in the moving frame is constant. In addition, the fixed axis is not collinear to the symmetry axis of the force field. New classes of regular precessions are found under these assumptions.
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