Abstract: An electronic magnetic compass for computing the magnetic heading of a vehicle, such as a tank, having two iron bodies relatively movable with respect to each other about a vertical rotary axis comprises: a non-pendulous triaxial magnetometer outputting magnetic field electrical signals representing the three axial components of the magnetic field at the location of the magnetometer; sensors outputting electrical signals representing the pitch and roll of the vehicle body on which the sensors are mounted; an angle measuring device for outputting electrical signals corresponding to the angle of rotation between the two bodies; a memory for storing a plurality of pre-calibrated correction factors for correcting the effects of the permanent magnetic field and the induced magnetic field on the measurements of the magnetometer for each of a plurality of angles of rotation between the two bodies; and an electronic computer for computing on a real-time basis the magnetic heading of both bodies from the magnetic fiel