throughout all the figures , same or corresponding elements are generally indicated by same reference numerals . these depicted embodiments are to be understood as illustrative of the invention and not as limiting in any way . it should also be understood that the drawings are not necessarily to scale and that the embodiments are sometimes illustrated by graphic symbols , phantom lines , diagrammatic representations and fragmentary views . in certain instances , details which are not necessary for an understanding of the present invention or which render other details difficult to perceive may have been omitted . the problems associated with gyrostatic effect and the corresponding components have already been described above with reference to fig1 . according to the invention , the useful torque { right arrow over ( m )} n that is produced by the useful machine system as a result of the temporal change of the useful angular momentum { right arrow over ( d )} n , is compensated by a counter - torque { right arrow over ( m )} g produced by an additional machine counter - system , which produces a counter - torque , as indicated by dotted lines in fig1 . the machine counter - system has been omitted from fig1 for sake of clarity . turning now to fig2 , in a first embodiment of the invention , a motor 3 drives via a rotating shaft 15 a load 1 that is fixedly secured to the axle 4 that rotates with an angular frequency ω n . the rotating load 1 , the shaft 15 and the rotating components of the motor 3 ( e . g ., the rotor of the motor 3 ) form , as in fig1 , a rotating useful machine system that has a useful angular momentum { right arrow over ( d )} n in the direction of the axle 15 and the load 1 , respectively . a rotation of the axle 4 by an angle φ produces a useful torque { right arrow over ( m )} n as a result of the temporal change of the useful angular momentum { right arrow over ( d )} n . according to the invention , the useful torque { right arrow over ( m )} n is compensated by a counter - torque { right arrow over ( m )} g produced by the machine counter - system . the machine counter - system includes the rotating components of a second motor 12 , which is offset with respect to the axle 4 by 180 °, a rotating shaft 16 driven by the second motor 12 and a compensating load 14 . the rotating machine counter - system rotates in the same rotation direction as the useful machine system , but the counter angular momentum { right arrow over ( d )} g is oriented in a direction opposite to that of the useful angular momentum { right arrow over ( d )} n , because the machine counter - system is offset with respect to the axle 4 by approximately 180 °. it should be noted that the useful angular momentum { right arrow over ( d )} n , the counter angular momentum { right arrow over ( d )} g , the moment of inertia of the useful machine system { right arrow over ( j )} n , and the moment in inertia of the machine counter - system { right arrow over ( j )} g are expressed as vectors . the machine counter - system rotates with an angular frequency ω g which is controlled by a controller 20 indicated schematically in fig2 by a dotted line . the magnitude of the counter angular momentum { right arrow over ( d )} g is equal to the magnitude of the useful angular momentum { right arrow over ( d )} n , i . e ., with | { right arrow over ( j )} n · ω n |=|{ right arrow over ( j )} g · ω g | ( 3 ) the useful angular momentum { right arrow over ( d )} n and the counter angular momentum { right arrow over ( d )} g , and the useful torque { right arrow over ( m )} n and the counter - torque { right arrow over ( m )} g then compensate each other so that ideally the useful torque { right arrow over ( m )} n can be almost completely compensated . fig3 shows another embodiment of the invention , with the components in fig3 having the same reference numerals as the components in fig2 . the compensation mechanism of fig3 for compensating the useful torque { right arrow over ( m )} n is in principle arranged and operated in the same manner as in the compensation mechanism of fig2 . however , unlike the machine counter - system of fig2 , the machine counter - system of fig3 is formed essentially by a rotating load 14 and by a rotating shaft 16 that drives the load 14 , i . e . without the motor 12 . the machine counter - system is driven via a gear 13 by the same motor 3 as the useful machine system . a portion of the rotating mass of the gear that rotates with the angular frequency ω g of the machine counter - system can be associated with the machine counter - system , whereas another portion of the rotating mass of the gear that rotate with the angular frequency ω n of the useful machine system , can be associated with the useful machine system . the gear ratio of the gear 13 is selected so as to satisfy equation ( 3 ). in the embodiment of fig3 , unlike in the embodiment of fig2 , the gear ratio of gear 13 may disadvantageously not be continuously adjustable by a controller 21 ( only indicated schematically in fig3 by dotted lines ), so that the useful angular momentum { right arrow over ( d )} n or the useful torque { right arrow over ( m )} n may therefore not fully compensated . the gear ratio of gear 13 can , of course , be adjustable , but may be fixed to simplify the implementation . however , the embodiment of fig3 advantageously does not require a separate motor that drives the machine counter - system . fig4 shows another embodiment of the invention . a rotating useful machine system and a rotating machine counter - system are pivotally supported on axle 4 . the useful machine system is hereby formed by a useful load 1 , a shaft 15 and a rotating component of a motor 3 . the machine counter - system is formed by a counter load 14 , a shaft 16 and the rotating components of a drive motor 12 . if the useful machine system is tilted , for example by an angle φ 2 , then the resulting useful torque { right arrow over ( m )} n can be compensated by rotating the machine counter - system in the opposite direction by an angle φ 1 , wherein | { right arrow over ( j )} n · ω n |=|{ right arrow over ( j )} g · ω g | ( 4a ) φ 1 = φ 2 ( 4b ) the machine counter - system is tilted so that the useful torque { right arrow over ( m )} n produced by the tilting motion of the useful angular momentum { right arrow over ( d )} n is compensated by a counter - torque { right arrow over ( m )} g produced by the tilting motion of the counter angular momentum { right arrow over ( d )} g . the machine counter - system can be tilted by a separate drive that operates independently of the drive that tilts the useful machine system , or the tilting motion of the machine counter - system can be suitably coupled via a gear with the tilting motion of the useful machine system . it should be noted here that it is quite difficult in practical situations to completely compensate the useful angular momentum { right arrow over ( d )} n , since the moment of inertia of the load 1 of the useful machine system can vary and is frequently not exactly known . in such cases , the useful angular momentum { right arrow over ( d )} n and the useful torque { right arrow over ( m )} n , respectively , can be at least partially compensated by the corresponding counter angular momentum { right arrow over ( d )} g and the counter - torque { right arrow over ( m )} g by estimating the moment of inertia of the load 1 and / or the moment of inertia { right arrow over ( j )} n of the useful machine system . accordingly , the actual situation can also be significantly improved for these situations . alternatively , the counter - torque { right arrow over ( m )} g and / or the moment of inertia { right arrow over ( j )} n of the useful machine system can be measured so as to control the rotation speed , i . e ., the angular frequency ω g , of the machine counter - system , so that the magnitude of the counter angular momentum becomes substantially identical to the magnitude of the useful angular momentum . this measurement can be performed , for example , by using suitable sensor electronics and / or by measuring , for example , the energy required to accelerate the useful load 1 or to accelerate the useful machine system . the moment of inertia { right arrow over ( j )} g of the machine counter - system can be kept small to minimize the required installation size . in this case , the rotation speed , i . e ., the angular frequency ω g of the counter - system , can be increased proportionally to again make the magnitude of the counter angular momentum identical to the magnitude of the useful angular momentum . while the invention has been illustrated and described in connection with currently preferred embodiments shown and described in detail , it is not intended to be limited to the details shown since various modifications and structural changes may be made without departing in any way from the spirit of the present invention . the embodiments were chosen and described in order to best explain the principles of the invention and practical application to thereby enable a person skilled in the art to best utilize the invention and various embodiments with various modifications as are suited to the particular use contemplated . what is claimed as new and desired to be protected by letters patent is set forth in the appended claims and includes equivalents of the elements recited therein :