S. L. Ziglin, “On the absence of an additional real-analytic first integral in the problem of the motion of a dynamically symmetric heavy rigid body about a fixed point”, Funktsional. Anal. i Prilozhen., 2024, Volume 58, Issue 3,Pages <nobr>89

On the absence of an additional real-analytic first integral in the problem of the motion of a dynamically symmetric heavy rigid body about a fixed point

S. L. Ziglin

Kotel'nikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences, Moscow, Russia

Abstract: We consider the problem of the motion of a dynamically symmetric heavy rigid body about a fixed point and give a detailed proof that the problem has no additional real-analytic first integral in all but the well-known classical cases.

Keywords: monodromy group, fundamental group.

MSC: 37J35

Received: 03.04.2023
Revised: 10.08.2023
Accepted: 24.08.2023

DOI: 10.4213/faa4115