Abstract: The present invention concerns a motor for generating torques around more than one axis with respect to an object that can be rotated and revolved around only one point. Only one mechanism is necessary to maintain a prescribed position or to produce changes in position around one or more axes (X, Y, or Z).The permanent-magnet excited synchronous machine comprises stator shells (10 & 10.1), multiple-phase windings (11 & 11.1), and a rotor (12) with permanent magnets (13 & 13.1), whereby the annular and spherical surfaces (14) of the rotor are more extensive than the annular and spherical surfaces (15) of the shells.All the spherical surfaces share the same center (M) of curvature, which simultaneously constitutes the origin of the coordinate systems, and the center of rotation. The shaft (17) is supported only at the center of curvature and such as to ensure freedom of motion throughout the reference coordinate system (21).