THE STABILITY OF A TIPPE TOP ON A SLIGHTLY ROUGH HORIZONTAL PLANE

The stability of a tippe top rotating on a slightly rough horizontal plane is considered in this paper. The stability criterion of the permanent rotation about the vertical polar axis not only with low viscous friction but also with low dry friction is derived by using Rumiantsev's theorem of partial stability. This criterion is reasonable because it is not expressed in terms of the precessional velocity, but the angular velocity of the permanent rotation.