One case of polynomial solutions of Kirchhoff?Poisson equations
Journal: Mekhanika tverdogo tela (Vol.40, No. 1)Publication Date: 2010-12-28
Authors : A.V. Zyza;
Page : 103-109
Keywords : polynomial solutions; Kirchhoff?Poisson equations; gyrostat; invariant relation; potential and gyroscopic forces;
Abstract
The conditions of the existence of one class of polynomial solutions of Kirchhoff-Poisson equations for the problem of gyrostat motion under the influence of potential and gyroscopic forces has been studied. A new solution of the given equations has been obtained which differs from those by V.A. Steklov, N. Kowalewski, D.N. Goryachev and their generalizations indicated by P.V. Kharlamov.
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