The invention relates to a Magnus rotor (8) comprising a drive unit (26) and a controller (24) which controls the drive unit such that the Magnus rotor attains a peripheral velocity that exceeds the mean wind speed by a factor ?. The invention further relates to a method for operating a Magnus rotor comprising a controller and a drive unit which causes the Magnus rotor to rotate, as well as a ship. In order to make the Magnus rotor more effective than in prior art, ? is greater than 4. Also disclosed is a Magnus rotor, against the lower outer circumference of which at least three guide rollers (12) rest free from backlash.