Orbitron. Part II. Magnetic levitation
classification
🧮 math-ph
math.MPphysics.class-ph
keywords
magneticfieldmotionsproofstableactiondevoteddipole
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This paper devoted to proof the existence of stable quasi-periodic motions of the magnetic dipole that is under the action of the external magnetic field and homogeneous field of gravity. For proof this we used the group-theoretic methods of Hamiltonian mechanics, viz energy-momentum method. Numerical simulation shows the possibility of realization of stable motions with physically reasonable parameters of the system.
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