Abstract
Recently a stabilization result on the angular velocity equations of the rigid body has been derived by means of the Energy-Casimir method. In this paper an alternative derivation of this result is given based on a topological condition on the level surfaces defined by the constants of motion. This condition is then reinterpreted, leading to a relaxed form of the Energy-Casimir theorem. The theorem is applied to the angular velocity equations of a rigid body.
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