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arXiv · 1102.1274

Hamilton-Poisson formulation for the rotational motion of a rigid body in the presence of an axisymmetric force field and a gyroscopic torque

Petre Birtea·Ioan Casu·Dan Comanescu
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Abstract

We give sufficient conditions for the rigid body in the presence of an axisymmetric force field and a gyroscopic torque to admit a Hamilton-Poisson formulation. Even if by adding a gyroscopic torque we initially lose one of the conserved Casimirs, we recover another conservation law as a Casimir function for a modified Poisson structure. We apply this frame to several well known results in the literature.

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Petre Birtea, Ioan Casu, Dan Comanescu. 2011-02-07. Hamilton-Poisson formulation for the rotational motion of a rigid body in the presence of an axisymmetric force field and a gyroscopic torque. https://doi.org/10.1016/j.physleta.2011.08.075

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