A Method of Constructing Polhodes of an Intermediate Motion in the Dynamics of a Rigid Body
Journal of Applied Mathematics and Mechanics, 1986
Posted: 12 Jul 2017
Date Written: January 9, 1986
Abstract
Asymptotic methods are used to construct the polhodes of an intermediate motion of a non-symmetric body about its centre of mass. The fundamental effects of this motion are governed by the action of the small external resistance of the medium, linear with respect to the angular velocity of rotation. Non-Eulerian motion is employed to construct the equations in osculating variables. A modification of the averaging procedure is proposed which makes it possible to obtain finite expressions for the polhodes of the intermediate motion. Results of the analysis of the intermediate motion and of the evolution of the polhodes of an Eulerian rotation of the body are given.
Keywords: Asymptotic methods, polhodes, intermediate motion of a non-metric body about its centre of mass, external resistance of the medium, linear with respect to the angular velocity of rotation, non-Eulerian motion, equations in osculating variables
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