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The Method of Averaging for Euler's Equations of Rigid Body Motion

✍ Scribed by Vincent T. Coppola


Book ID
110260273
Publisher
Springer Netherlands
Year
1997
Tongue
English
Weight
255 KB
Volume
14
Category
Article
ISSN
0924-090X

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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