The invention relates to an actuator device for automatically activating the vehicle door (2) of a motor vehicle (1), in particular the tailgate (2), which comprises an electromotive drive (9) and an arrangement of tubular housing parts (7, 8) which can be extended and retracted telescopically by said electromotive drive (9), said electromotive drive comprising an electrical motor (14) and a gearbox (20) driven by the motor (14), characterized in that, the gearbox (20) comprises a wobble mechanism (34, 46, 68, 72).