The paper presents an analytical solution of levitation problem for conductive, dielectric and magnetically anisotropic ball. The levitation exerts either an AC or impulse magnetic field. Both the Lorentz and material electromagnetic forces (of magnetic matter) could lift the ball in a gravitational field. The electromagnetic field distribution is derived by means of variables separation method. The total force is evaluated by Maxwell stress tensor (generalized), co-energy and Lorentz methods. Additionally, power losses are calculated by means of Joule density and the Poynting vector surface integrals. High frequency asymptotic formulas for the Lorentz force and power losses are presented. All analytical solutions derived could be useful for rapid analysis and design of levitations systems. Finally, some remarks about considered levitations are formulated.

The work discusses numerical and experimental researches, which are focused on developing a coherent model of magnetic interactions causing the levitation of the starting trolley of the unmanned aerial vehicle (UAV) catapult. The starting trolley is levitating over the catapult’s tracks, which generate the magnetic field. The levitation is made possible by the diamagnetic properties of high-temperature superconductors, placed in supports of the starting trolley. The introduction of the article briefly analyzes the catapult structure. Next, it explains the nature of associated with the Meissner and flux pinning effect magnetic interactions which causes the levitation phenomenon. The paper presents the results of numerical analysis of the magnetic field, generated by the catapult’s tracks arranged in two configurations: a “chessboard” and a “gutter” pattern. The numerical model was solved, using the finite element method. Parameterization of the numerical model was made based on the measurements of the magnetic field, generated by a single magnet.