We consider a model system consisting of an infinitely long magnetic d
ipole line placed symmetrically above an infinitely long superconducti
ng strip. Using the Meissner effect of superconductors, we derive anal
ytical expressions of the levitation forces acting on the dipole line.
At lowest-order approximation, we discuss the possible application of
our model system to estimate the upper limit of the levitation forces
in some magnetic bearing systems. In one example, the model correctly
calculated the vertical vibration frequency of an experimental superc
onducting bearing.