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This article is cited in 11 scientific papers (total in 11 papers)
Explicit Solution of the Zhukovski–Volterra Gyrostat
I. Basak Department de Matemàtica Aplicada I, Universitat Politecnica de Catalunya, Barcelona, E-08028 Spain
Abstract:
The paper is devoted to explicit integration of the classical generalization of the Euler top: the Zhukovski–Volterra system describing the free motion of a gyrostat. We revise the solution for the components of the angular momentum first obtained by Volterra in [1] and present an alternative solution based on an algebraic parametrization of the invariant curves. This also enables us to derive an effective description of the motion of the body in space.
Keywords:
rigid body dynamics, explicit integration, elliptic curves.
Received: 20.05.2008 Accepted: 22.10.2008
Citation:
I. Basak, “Explicit Solution of the Zhukovski–Volterra Gyrostat”, Regul. Chaotic Dyn., 14:2 (2009), 223–236
Linking options:
https://www.mathnet.ru/eng/rcd548 https://www.mathnet.ru/eng/rcd/v14/i2/p223
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