A gimbal arrangement comprises a socket (6) having a partially spherical inner surface with a first radius; a ball (2) located within the socket and having a partially spherical outer surface with a second radius smaller than the first radius; a first array of electromagnets (5) mounted at the outer surface of the ball; a second array of electromagnets (7) mounted at the inner surface of the socket (6); and means for supplying power selectively to different ones of the electromagnets of the two arrays to support the ball within the socket in a position where the partially spherical surfaces of the ball and socket are substantially concentric about a common center and to control the orientation of the ball relative to the socket.