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The distributions of magnetic induction and magnetic field strength are obtained. It was found that with a parallel arrangement of toroidal rings of elliptical cross-section in a magnetic suspension, the magnetic induction is 1.7 times higher than with a perpendicular arrangement of the same rings. The calculation of the ponderomotive and magnetomotive forces between two toroidal annular permanent magnets with a radial magnetization of an elliptical section in a contactless magnetic suspension system is carried out. Quasi-elastic stiffness coefficients and static load capacity were calculated for both models. It is shown that the rigidity of the suspension decreases monotonically with a decrease in the size of the gap, regardless of the model.