1203.3985 (Anton Izosimov)

Stability of relative equilibria of multidimensional rigid body    [PDF]

Anton Izosimov

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.

View original: http://arxiv.org/abs/1203.3985