Reverse rotations in the circularly-driven motion of a rigid body

TL;DR

This paper investigates the intrinsic reverse rotational behavior of a circularly-driven rigid body, providing a scale-free criterion for different spinning regimes through an integrable model.

Contribution

It introduces a new scale-free expression to distinguish between spinning regimes in the dynamics of a circularly-driven rigid body.

Findings

Derived a scale-free criterion for spinning regimes

Analyzed the integrable but nontrivial model system

Provided qualitative and quantitative insights into reverse rotations

Abstract

We study the dynamical response of a circularly-driven rigid body, focusing on the description of intrinsic rotational behavior (reverse rotations). The model system we address is integrable but nontrivial, allowing for qualitative and quantitative analysis. A scale free expression defining the separation between possible spinning regimes is obtained.