The invention relates to an arrangement for detecting rotation angles on a rotating component, having transducers and sensors, detecting a physical variable as digitally processable signals as a function of the rotation angle change of the rotating component. The rotating component has at least one satellite of a smaller circumference that is coupled at the circumference thereof and rotates by means of the rotation thereof, preferably having an angle sensor, which drives a likewise rotating hypocycloidal disc or hypocycloidal gear wheel via an axially coupled hypocycloidal gearbox, the circumferential speed of which can be geared down by the hypocycloidal gearbox such that a speed of the rotating component and the absolute wheel angle across multiple revolutions of the steering axle can be determined using a revolution sensor system.