Systems “spindle – bearings” will inevitably have some errors and discrepancies in the dimensions and form of elements. These inaccuracies cause spindle’s run out. The run out is a complex periodic process which may include three types of frequency components: with frequencies exceeding the spindle’s rotary frequency, with frequency equal to the spindle’s rotary frequency and with frequencies lower that the spindle’s rotary frequency. Each individual frequency component may be caused by eccentricity or out-of-roundness of the inner race, out-of-roundness of the outer race, spread of ball diameters, and inaccuracy of their form. Self-adjustable pad-type bearings are sensitive to technological, service and construction perturbations. This is characteristic of vortex trajectories of the spindles. Character of these trajectories depends on the thickness of lubricant film over the pad supports and on the geometrical precision of the spindle journal and pads (segments). Geometrical precision under a high unbalance of the grinding wheel is crucial for functional quality, size and form of the orbit. Geometrical precision of trajectories and its state are subject to change depending on a number of parameters especially on the rigidity of the lubricant film and dynamic system.