A magnetic suspension system comprising: - an object (120, 220) having rotational symmetry, the object having a geometric circular cylinder surface or a geometric circular cone surface, - at least one magnetic actuator (100, 200) for magnetically suspending the object, - equipment (118, 218) for generating a position signal indicative of a position of the object with respect to a reference position of the object, and - a controller (119, 219) for controlling the electrical operation of the windings of the magnetic actuator on the basis of the position signal, wherein the magnetic actuator comprises actuator elements (101-104, 201-204) each comprising a winding (105, 205) for conducting electric current and a core element (109, 209) comprising material having relative magnetic permeability greater than one, the core element of each of the actuator elements comprising: - two tooth sections for directing a magnetic flux produced by the electric current to the object to be controlled with the magnetic actuator, the tooth sections comprising a center tooth section (110, 210) and side tooth sections (111, 112, 211, 212) on both sides of the center tooth section, and - a yoke section (113, 213) connecting the center and side tooth sections, wherein the magnetic actuator further comprises one or more permanent magnets (114-117, 214-217) located in one or more gaps between the yoke sections of adjacent ones of the core elements, a direction of magnetization of each of the permanent magnets being across the gap in which the permanent magnet under consideration is located and each of the permanent magnets producing a magnetic flux flowing via adjacent ones of the yoke sections the gap between which contains the permanent magnet under consideration, wherein the yoke section and the center and side tooth sections constitute a part of a closed path of the magnetic flux produced by the electric current so that the closed path is outside the one or more permanent magnets, wherein the core elements constitute a ring structure around the object so that the tooth sections are radially directed, the yoke sections are circumferentially directed, and the gaps between the yoke sections of the adjacent ones of the core elements are circumferential, and wherein the directions of magnetization of the permanent magnets are circumferential, and wherein the winding of each of the actuator elements is wound around the center tooth section only. - an object (120, 220) having rotational symmetry, the object having a geometric circular cylinder surface or a geometric circular cone surface, - at least one magnetic actuator (100, 200) for magnetically suspending the object, - equipment (118, 218) for generating a position signal indicative of a position of the object with respect to a reference position of the object, and - a controller (119, 219) for controlling the electrical operation of the windings of the magnetic actuator on the basis of the position signal, - two tooth sections for directing a magnetic flux produced by the electric current to the object to be controlled with the magnetic actuator, the tooth sections comprising a center tooth section (110, 210) and side tooth sections (111, 112, 211, 212) on both sides of the center tooth section, and - a yoke section (113, 213) connecting the center and side tooth sections, wherein the magnetic actuator further comprises one or more permanent magnets (114-117, 214-217) located in one or more gaps between the yoke sections of adjacent ones of the core elements, a direction of magnetization of each of the permanent magnets being across the gap in which the permanent magnet under consideration is located and each of the permanent magnets producing a magnetic flux flowing via adjacent ones of the yoke sections the gap between which contains the permanent magnet under consideration, wherein the yoke section and the center and side tooth sections constitute a part of a closed path of the magnetic flux produced by the electric current so that the closed path is outside the one or more permanent magnets, wherein the core elements constitute a ring structure around the object so that the tooth sections are radially directed, the yoke sections are circumferentially directed, and the gaps between the yoke sections of the adjacent ones of the core elements are circumferential, and wherein the directions of magnetization of the permanent magnets are circumferential, and wherein the winding of each of the actuator elements is wound around the center tooth section only.