This article is cited in 1 paper

Quasi-periodic Motions of a Rigid Body. I. Quadratic Hamiltonians on the Sphere with a Distinguished Parameter

Heinz Hanßmann

Institut für Reine und Angewandte Mathematik der RWTH Aaghen, 52056 Aachen, Germany

Abstract: The motion of a dynamically symmetric rigid body, fixed at one point and subject to an affine (constant+linear) force field is studied. The force being weak, the system is treated as a perturbation of the Euler top, a superintegrable system. Averaging along the invariant 2-tori of the Euler top yields a normal form which can be reduced to one degree of freedom, parametrized by the corresponding actions. The behaviour of this family is used to identify quasi-periodic motions of the rigid body with two or three independent frequencies

Received: 12.05.1997

Language: English

DOI: 10.1070/RD1997v002n02ABEH000035

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