In a spindle rotor, the orientation of the figure axis is accepted and the anchoring of the rotor bearing (SL) is configured such that the orientation of the geometric rotational axis adapts to the physical main axis of inertia. The bearing is configured in the form of an actively controlled bearing, whereby the orientation is measured and is dynamically carried out, but also in the form of bearing comprising passive elements which are associated with the external ring of the bearing and enable a correspondingly dynamic orientation of the bearing. A damper (T) is provided to dampen the vibrations of the bearing (SL).