Heavy rigid body with a gyroscope in $\mathbb R^n$
Mathematical Physics
2026-01-08 v1 math.MP
Exactly Solvable and Integrable Systems
Abstract
Starting from the following multidimensional integrable generalizations of the heavy rigid body systems: the Euler top, the Lagrange top, the Lagrange bitop, and the totally symmetric case, we add to each of them a gyroscope. For each of the newly constructed systems, we provide a polynomial matrix Lax representation and prove Liouville integrability. We also present Zhukovskiy's geometric representation of motion of the Euler top with a gyroscope.
Keywords
Cite
@article{arxiv.2601.03965,
title = {Heavy rigid body with a gyroscope in $\mathbb R^n$},
author = {Vladimir Dragovic and Borislav Gajic and Bozidar Jovanovic},
journal= {arXiv preprint arXiv:2601.03965},
year = {2026}
}
Comments
21 pages, 4 figures