Magnetic levitation by rotation described by a new type of Levitron

TL;DR

This paper introduces a new magnetic levitation system based on a scaled-up Levitron analogy, where stability depends on lateral displacement rather than rotational speed, expanding understanding of magnetic trapping mechanisms.

Contribution

It proposes a novel magnetic levitation model that differs from traditional Levitron systems by linking stability to lateral displacement instead of rotation speed.

Findings

Stable trapping occurs at specific lateral displacements.

Potential energy reaches a minimum at equilibrium.

Magnetic trapping is independent of rotational speed.

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.