An electrodynamic suspension system including a moveable member for levitation relative to a foundation, said moveable member including at least one onboard superconducting electromagnetic coil forming a primary member overlying a secondary member on a foundation in a transverse flux orientation with respect to a of levitation of said moveable member above said secondary member on said foundation, said at least one superconducting coil being energized by a variable alternating current to produce an alternating field of magnetic flux, said foundation including passive electrically conductive means forming said secondary member responsive to said alternating field of magnetic flux which induces an alternating current in said secondary member to guide and levitate the moveable member by repulsive induction action to maintain a controllable spaced relation between the foundation and moveable member.