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The buoyant in water are freely movable body with six degrees of freedom vessels, the addition to the three translational movements between objects subjected to swell Run rotations about all three axes. Particularly in ships having high superstructures (container ships) (passenger ships, a vehicle combined) and much cover load rotation about the X-axis from the result, the as is designated heel or rollers, repeatedly problems. In ships with a view to the passengers and in container ships are extreme rolling movements lead to the loss of cover containers seasickly the higher layers. Therefore passenger ships are equipped, RoRo-ships and rare container ships with devices for roll damping. Zur antiroll tankfin stabilizers or predominantly used be roll damping. It are also become known method, which enable a roll stabilisation by the rudder dOLLAR A The invention relates to a device., which is capable of, and at the same time the control of vessels to perform rolling movements induced to effect damping of the of shafts. The roll stabilisation invent us in accordance with by a device is made possible, at least from a main and a formed with two separate and thereby control surfacestab machine and a rudder is characterized that the upper surface and the lower surface for roll damping can serve to control.