Dynamics of Rigid Bodies with Intrinsic Rotation Subjected to Non-Coaxial Actions

Abstract

This article presents the Theory of Dynamic Interactions (TDI) as a framework for extending the analysis of bodies with intrinsic rotation subjected to additional non-coaxial excitations within classical rotational mechanics. The proposed formulation introduces transverse coupling terms intended to describe possible real dynamic effects.
In particular, we examine the hypothesis that a constant non-coaxial excitation may induce an additional transverse contribution to the evolution of both translational velocity and angular momentum, which could lead to trajectory curvature or supplementary precession in systems with intrinsic angular momentum. The proposal is formulated in terms of distributed rotational fields and includes a hypothesis of finite propagation for rotational interactions. The model is not intended to replace classical mechanics within its established domain of validity, but rather to define a specific regime in which distinguishable predictions may be formulated and tested. Finally, we describe the requirements for validation, including quantitative comparison with classical rigid-body dynamics, reproducible numerical simulations, trajectory measurements, uncertainty analysis, and independent experimental verification. This is therefore a propositional and testable contribution, not a conclusive one.