The synchronous machine module includes a synchronous machine and a rotational speed controller for controlling a rotational speed of the synchronous machine, which rotational speed controller has a detector for detecting a variable which is formed by the effective power or is dependent thereon. The rotational speed controller is designed to set the rotational speed of the synchronous machine and/or the time profile thereof as a function of the detected variable and/or its time profile. The vehicle drive has such a synchronous machine module and a power generator, which in order to supply the synchronous machine module is connected thereto. The vehicle is, in particular, an aircraft and has such a vehicle drive and/or such a synchronous machine module.