| Authors: | Dragović, Vladimir Gajić, Borislav |
Title: | Some Recent Generalizations of the Classical Rigid Body Systems | Journal: | Arnold Mathematical Journal | Volume: | 2 | Issue: | 4 | First page: | 511 | Last page: | 578 | Issue Date: | 1-Dec-2016 | ISSN: | 2199-6792 | DOI: | 10.1007/s40598-016-0054-6 | Abstract: | Some recent generalizations of the classical rigid body systems are reviewed. The cases presented include dynamics of a heavy rigid body fixed at a point in three-dimensional space, the Kirchhoff equations of motion of a rigid body in an ideal incompressible fluid as well as their higher-dimensional generalizations. |
Keywords: | Algebro-geometric integration procedure | Baker–Akhiezer function | Euler–Arnold equations | Grioli precession | Kirchhoff equations | Lax representation | Rigid body dynamics | Publisher: | Springer Link | Project: | Geometry and Topology of Manifolds, Classical Mechanics and Integrable Dynamical Systems |
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