Abstract
It is shown that even modest amounts of rotation in a very wide class of stellar systems induces a tumbling instability. A weak bar-like perturbation is reinforced by the tipping of precessing orbital planes. As the amplitude of this tumbling bar grows, the orbital planes become trapped into libration. This picture is derived from the linear normal mode analysis, and a number of numerical experiments which agree with the predictions of linear theory are presented and the tipping and trapping of orbital planes are demonstrated. These experiments were performed for the three extremes of systems with predominantly radial orbits, predominantly circular orbits, and an isotropic velocity distribution. The introduction of a modest amount of rotational streaming destabilizes all these systems
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