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Avtomat. i Telemekh., 2024 Issue 9, Pages 59–76 (Mi at16323)

Nonlinear Systems

Stability of regular precessions of a body with a fixed point bounded by the ellipsoid of revolution in a flow of particles

A. S. Kuleshov, M. M. Gadzhiev

Lomonosov Moscow State University

Abstract: Stability of regular precessions of a rigid body bounded by the ellipsoid of revolution in a free molecular flow of particles is studied. Conditions of stability of regular precessions of the body are obtained and the Poincare–Chetaev bifurcation diagrams are constructed.

Keywords: rigid body with a fixed point, free molecular flow of particles, regular precessions, stability of steady motions.

Presented by the member of Editorial Board: A. G. Kushner

Received: 03.06.2024
Revised: 05.07.2024
Accepted: 11.08.2024

DOI: 10.31857/S0005231024090035


 English version:
Automation and Remote Control, 2024, 85:9, 781–794


© Steklov Math. Inst. of RAS, 2025