The dynamics of the weakly perturbed motion of a liquid-filled gyroscope and the control problem |
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| Authors: | AA Gurchenkov VV Korneyev MV Nosov |
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| Institution: | 1. Dipartimento di Economia e Statistica, Università di Torino and BRICK (Bureau of Research in Innovation Complexity and Knowledge), Collegio Carlo Alberto, Italy;2. Dipartimento di Scienze Economiche e Politiche, Università della Valle d''Aosta and BRICK (Bureau of Research in Innovation Complexity and Knowledge), Collegio Carlo Alberto, Italy |
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| Abstract: | The Cauchy problem for the motion of a dynamically symmetrical rigid body with a cavity, filled with an ideal liquid, which is perturbed from uniform rotation, is considered in a linear formulation. The problem of the simultanious solution of the equations of hydrodynamics and the mechanics of a rigid body is reduced to the solution of an eigenvalue problem which depends solely on the geometry of the cavity and the subsequent integration of a system of differential equations. |
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