Steady and periodic regimes in the problem of motion of a heavy point on rotating sphere under presence of viscous friction / E. S. Shalimova. //Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2014. ? 4. P. 43-50 [Moscow Univ. Math. Bulletin. Vol. 69, N 4, 2014.].

The problem of motion of a heavy material point on a sphere uniformly rotating about a fixed axis is considered in the case of viscous friction. The angle of inclination between the axis and the horizon is constant. The existence, bifurcation, and stability of the equilibrium positions are discussed. The existence of periodic motions is also studied. An approach is proposed to find such motions in the case of low viscosity.

Key words: viscous friction, motion of a particle on a sphere, positions of equilibrium, periodic modes.