Integration of the equations of a rotational motion of a rigid body in quaternion algebra. The Euler case (Q2714655)
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scientific article; zbMATH DE number 1607071
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Integration of the equations of a rotational motion of a rigid body in quaternion algebra. The Euler case |
scientific article; zbMATH DE number 1607071 |
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20 June 2001
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Euler's case
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integration of equations
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Integration of the equations of a rotational motion of a rigid body in quaternion algebra. The Euler case (English)
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The author proposes to construct the dynamical system by using a multiplicative group of quaternion algebra in the same way as in the configuration space. Moreover, the homomorphism \(\,H\to SO(3)\,\) is used such that the unit sphere which is invariant with respect to the system is transferred into the group of rotations \(SO(3)\). The results of integration motion equations are presented in the Euler's case.
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