Stability of relative equilibria of multidimensional rigid body

Details Stability of relative equilibria of multidimensional rigid body Stability of relative equilibria of multidimensional rigid body

2012-03-18

arxiv.org/abs/1203.3985v1

Physics

Mathematical Physics

Scientific paper

It is well known that a free three-dimensional rigid body admits three stationary rotations. These are the rotations around three principal axes of inertia. The rotations around the long and the short axes are stable, while the rotation around the intermediate axis is unstable. We generalize this result to the case of a multidimensional body. The stability problem is being solved for a dense subset of stationary rotations in arbitrary dimension.

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