Spectral stability of relative equilibria

DOI10.1007/BF02524333zbMath0708.70009OpenAlexW2023250463MaRDI QIDQ920630

James E. Howard

Publication date: 1990

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02524333

zbMATH Keywords

circular restricted three-body problemspectral stabilityunified frameworkaspherical planetHamiltonian methodrotating conservative force fieldstable nonequatorial circular orbitssynchronous circular orbitssynchronous satellite motion

Mathematics Subject Classification ID

Three-body problems (70F07) Stability for nonlinear problems in mechanics (70K20) Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Orbital mechanics (70M20)

Related Items (3)

Effect of Krein signatures on the stability of relative equilibria ⋮ Unified Hamiltonian stability theory ⋮ A geometric classification of Hamiltonian equilibria by spectral types

Cites Work

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• Nonlinear stability of fluid and plasma equilibria
• The analytic invariants of an area-preserving mapping near a hyperbolic fixed point
• Stability of water waves
• Linear stability of symplectic maps

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