On the constructive algorithm for stability analysis of an equilibrium point of a periodic Hamiltonian system with two degrees of freedom in the second-order resonance case

DOI10.1134/S1560354717070048zbMath1437.70029OpenAlexW2790058588MaRDI QIDQ1795451

Evgeniya A. Chekina, Boris S. Bardin

Publication date: 16 October 2018

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354717070048

zbMATH Keywords

satellitestabilitynormal formHamiltonian systemsymplectic mapresonant rotation

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Dynamical systems in classical and celestial mechanics (37N05) Nonlinear resonances for nonlinear problems in mechanics (70K30) Normal forms for nonlinear problems in mechanics (70K45)

Related Items (5)

On Orbital Stability of Pendulum-like Satellite Rotations at the Boundaries of Stability Regions ⋮ On the stability of planar oscillations of a satellite-plate in the case of essential type resonance ⋮ On the constructive algorithm for stability investigation of an equilibrium point of a periodic Hamiltonian system with two degrees of freedom in first-order resonance case ⋮ On the stability of a periodic Hamiltonian system with one degree of freedom in a transcendental case ⋮ On the constructive algorithm for stability analysis of an equilibrium point of a periodic Hamiltonian system with two degrees of freedom in the case of combinational resonance

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• On the stability of resonant rotation of a symmetric satellite in an elliptical orbit
• On stability of a non-autonomous Hamiltonian system in parametric resonance of dominant mode
• A method for analytically representing area-preserving mappings
• On the stability of a planar resonant rotation of a satellite in an elliptic orbit

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