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A new integrable case of the motion of the 4-dimensional rigid body

โœ Scribed by A. G. Reyman; M. A. Semenov-Tian-Shansky


Publisher
Springer
Year
1986
Tongue
English
Weight
766 KB
Volume
105
Category
Article
ISSN
0010-3616

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Integration of the equations of a rotati
โœ I.I. Kosenko ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 493 KB

A dynamical system is constructed in the multiplicative group of the quartemion algebra H that serves as the configuration space. A homomorphism H ~ SO( 3) is used such that the unit sphere S 3 C H, invariant under the system, is transformed into the rotation group SO(3). The homornorphic image of t