In a reciprocating-piston machine, in particular a refrigerant compressor for a motor vehicle air-conditioning system, comprising a machine shaft rotatably supported in a housing with a plurality of pistons arranged circularly around the machine shaft and an annular pivoting disc extending around, and being driven by, the machine shaft, wherein the annular pivoting disc engages the pistons via a joint arrangement disposed on a driver extending from the shaft for transmitting shaft drive forces to the pistons, the annular pivoting disc being supported by a sliding body mounted on a shaft and being pivotable about a hinge axis oriented transversely to the machine shaft, the joint arrangement of the driver is located outside a main center-plane, which extends perpendicularly to the hinge axis and through the axis of rotation of the machine shaft.