The orbital stability analysis of pendulum oscillations of a heavy rigid body with a fixed point under the Goryachev-Chaplygin condition

DOI10.1007/S10958-023-06660-2MaRDI QIDQ6147856

Boris S. Bardin, B. A. Maksimov

Publication date: 1 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

stable equilibriumuniform gravitational fieldsecond-order periodic Hamiltonian system

Mathematics Subject Classification ID

Orbital mechanics (70M20) Stability problems in rigid body dynamics (70E50) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14) Motion of a rigid body with a fixed point (70E17)

Cites Work

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• Orbital stability analysis using first integrals
• The stability of the plane periodic motions of a symmetrical rigid body with a fixed point
• On stability of a non-autonomous Hamiltonian system in parametric resonance of dominant mode
• On the orbital stability of a periodic solution of the equations of motion of a Kovalevskaya gyroscope
• On the orbital stability of planar periodic motions of a rigid body in the Bobylev-Steklov case
• On the orbital stability of pendulum-like vibrations of a rigid body carrying a rotor
• The pendulum-like motions of a rigid body in the Goryachev-Chaplygin case
• On a Method of Introducing Local Coordinates in the Problem of the Orbital Stability of Planar Periodic Motions of a Rigid Body

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