The rear shock absorber system has a guiding system (10), a damping element (50), a return system (90) and a ratchet locking mechanism. The guiding system has a support plate (40) that is guided by guiding rods (47) in a base body (11) in boreholes (12). The damping element has a hydraulic cylinder-piston-unit (51). The return system has a mechanical spring element, a pneumatic spring element or a spring system.