The present invention relates to an artificial heart which comprises a rotary piston shaped like a trilobar or bilobar hypotrochoid or epitrochoid and a body which defines a cavity which is the rotor casing when the latter is driven both in circular translation of radius e equal to the eccentricity of the trochoid and in rotation about its center with an angular velocity of which the number of revolutions per minute is the same as the pulse of the patient.