Heavy rigid body with a gyroscope in $\mathbb R^n$

Vladimir Dragovic; Borislav Gajic; Bozidar Jovanovic

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arXiv · 2601.03965

Heavy rigid body with a gyroscope in $\mathbb R^n$

Vladimir Dragovic·Borislav Gajic·Bozidar Jovanovic

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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.

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Vladimir Dragovic, Borislav Gajic, Bozidar Jovanovic. 2026-06-20. Heavy rigid body with a gyroscope in $\mathbb R^n$. https://arxiv.org/abs/2601.03965

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