Zub, S.S.: Magnetic levitation in orbitron system. Simon, M.D., Heflinger, L.O., Geim, A.K.: Diamagnetically stabilized magnet levitation. Kozorez, V.V.: Dynamic Systems of Free Magnetically Interacting Bodies. Zub, S.S.: Stable orbital motion of magnetic dipole in the field of permanent magnets. It corresponds to the long trajectories observed in a physical experiment. Executed analysis shows the possibility of stable motions and levitation in some neighborhood of a given relative equilibrium. The motion was limited in certain region for the trajectories with disturbed initial conditions and parameters within 1%.
More than 1000 of trajectories with 100 turns for each have been tested using grid computing on Grid-clusters of Ukrainian Academic Grid. Investigation of the dynamics in some neighborhood of a given relative equilibrium for physically reasonable parameters of the system was required to generate a set of random trajectories (Monte-Carlo simulation) with small variations of parameters or initial conditions. spinning and rotating around the axis of symmetry in axially-symmetric magnetic field is proposed. Numerical modeling of the top dynamics, i.e. a rigid body and magnetic dipole simultaneously) in external magnetic field under uniform gravitational field is presented.
Mathematical model of interaction for magnetic symmetric top (i.e.
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