On the stability of planar oscillations of a satellite-plate in the case of essential type resonance

DOI10.20537/ND1704002zbMath1382.37056OpenAlexW2780064700MaRDI QIDQ4605663

Evgeniya A. Chekina, Boris S. Bardin

Publication date: 23 February 2018

Published in: Nelineinaya Dinamika (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/nd579

zbMATH Keywords

satellitenormal formHamiltonian systemresonanceorbital stabilityplanar periodic motion

Mathematics Subject Classification ID

Celestial mechanics (70F15) Dynamical systems in classical and celestial mechanics (37N05) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Nonlinear resonances for nonlinear problems in mechanics (70K30) Normal forms for nonlinear problems in mechanics (70K45)

Related Items (4)

On the Orbital Stability of Pendulum Oscillations of a Dynamically Symmetric Satellite ⋮ On Orbital Stability of Pendulum-like Satellite Rotations at the Boundaries of Stability Regions ⋮ 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 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

Cites Work

• On the stability of planar oscillations and rotations of a satellite in a circular orbit
• 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
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