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Paper provides a research of the mathematical model of a superconducting magnetic suspension in zero gravity. The model consists of a special configuration of the superconducting inductors and uniform magnetic field. The stabilization of suspension in dependence of angle between the magnetic field induction vector and the axis of the inductance coil that is a suspended «free» rigid body is researched. Analysis of the model on stability of equilibrium is carried out and the conditions of spatial magnetic well existence providing the contactless confinement of a rigid body in zero gravity are found.