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On the Kharlamova?Mozalevskaya solution of the equations of motion of a gyrostat
Journal: Mekhanika tverdogo tela (Vol.42, No. 1)Publication Date: 2012-12-20
Authors : Gashenenko I.N.; Mozalevskaya G.V.; Tkachenko D.N.;
Page : 37-45
Keywords : gyrostat with a fixed point; differential equations of motion; particular solution; algebraic invariant relations;
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Abstract
Necessary and sufficient conditions for the existence of the family of power solutions of equations of motion of a heavy gyrostat about a fixed point are obtained. This exact solution, in accordance with the results of [1], is described by algebraic invariant relations and one additional hyperelliptic quadrature. The possible motions of the gyrostat are classified. The cases of degeneration of hyperelliptic quadrature to elliptical one are studied.
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Last modified: 2013-04-03 12:35:56