The Lagrange top in terms of observable variables


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Abstract

The motion of a dynamically symmetric rigid body with a fixed point in the Lagrange case is considered. The advantage of introducing observable variables is demonstrated, as exemplified by the solution of the problems of stability of stationary rotation and motion beginning from the position of stable rotation.

About the authors

A. G. Petrov

Ishlinsky Institute for Problems in Mechanics

Author for correspondence.
Email: petrovipmech@gmail.com
Russian Federation, pr. Vernadskogo 101, Moscow, 117526

S. V. Sanduleanu

Moscow Institute of Physics and Technology (State University)

Email: petrovipmech@gmail.com
Russian Federation, Dolgoprudnyi, Moscow oblast, 141701

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