Magnetic levitation by rotation described by a new type of Levitron

Abstract

Recently, a novel magnetic levitation phenomenon involving two magnetically equivalent neodymium permanent magnets has been reported. In this work, we propose that this system functions as a scaled-up analog of the Levitron. The key distinction is that the ratio $m_/\mu_f$ becomes a function of the lateral displacement $\delta_R$, and magnetic trapping no longer depends on the rotational speed of the levitating body as in a conventional Levitron. Furthermore, we demonstrate that stable trapping occurs when a specific constraint on the $\delta_R$ parameter is satisfied, ensuring that the potential energy reaches a minimum at the equilibrium point.