Rotary compressor arrangement (100) comprising a body (40) centered at a shaft axis (X) and a cylindrical piston (10) eccentrically arranged with respect to the body (40) such that a chamber is created between them, the arrangement (100) further comprising a satellite element (50) arranged at an offset axis (Y) and orbiting around the shaft axis (X) such that the orbiting of the satellite element (50) entrains in rotation around the shaft axis (X) the cylindrical piston (10) over the body (40), the relative distance between the axis (X, Y) being such that a contact between the body (40) and the cylindrical piston (10) within the chamber is ensured during rotation of the cylindrical piston (10).