Authors: Dragović, Vladimir 
Gajić, Borislav 
Jovanović, Božidar 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Note on free symmetric rigid body motion
Journal: Regular and Chaotic Dynamics
Volume: 20
Issue: 3
First page: 293
Last page: 308
Issue Date: 19-May-2015
Rank: M22
ISSN: 1560-3547
DOI: 10.1134/S1560354715030065
We consider the Euler equations of motion of a free symmetric rigid body around a fixed point, restricted to the invariant subspace given by the zero values of the corresponding linear Noether integrals. In the case of the SO(n − 2)-symmetry, we show that almost all trajectories are periodic and that the motion can be expressed in terms of elliptic functions. In the case of the SO(n − 3)-symmetry, we prove the solvability of the problem by using a recent Kozlov’s result on the Euler-Jacobi-Lie theorem.
Keywords: Euler equations | Manakov integrals | reduced Poisson space | spectral curve
Publisher: Springer Link

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