Zub S. Mathematical modeling of the magnetic systems contact free equilibrium

Objects of the investigation are the magnetic systems of the superconductive rings, permanent magnets with external magnetic and gravity fields. Dissertation is devoted to the elaboration of new electromechanics mathematical models and to the solving of the possibility of steady contact free static equilibrium bodies (interacting only by magnetic forces) question, and also to the studding of the physical mechanisms of such equilibrium realization. Methods of the investigation are the methods of the analytic mechanics, mathematical physics and theory of the harmonious functions. Analytic and numeral investigation were carrying out on the computer algebra system Maple V. Theoretical and practical results: MPW and spatial MPW existence was proved on the base of the different magnetic effects. The general formula for the magnetic potential energy of the superconductive rings, permanent magnets and external magnetic fields system and new mathematical models of the MPW and MagLev were accorded. The new abi lities in the contacteless static stable bearing systems in the case when the gravity force is absent were proved. That so far was impossible. It is planed to design some experimental sets, which are based on the new MPW and MagLev configurations. Contacteless static stable bearing systems and MagLev systems can be used in the field of instrument-making, transport, space researches.