Stability of the planar equilibrium solutions of a restricted \(1+N\) body problem

DOI10.1134/S1560354714050025zbMath1309.70012OpenAlexW2044810329MaRDI QIDQ2513992

Dieter S. Schmidt, Claudio Vidal

Publication date: 29 January 2015

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

Full work available at URL: https://doi.org/10.1134/s1560354714050025

zbMATH Keywords

relative equilibrianormal formKAM stability\(1+N\) body problem

Mathematics Subject Classification ID

(n)-body problems (70F10)

Related Items (1)

Applications of computer algebra in the study of the two-planet problem of three bodies with variable masses

Cites Work

• Studying the stability of equilibrium solutions in a planar circular restricted four-body problem
• Stability of a Hamiltonian system in a limiting case
• On stability of an autonomous Hamiltonian system with two degrees of freedom under first-order resonance
• Ejection-collision orbits and invariant punctured tori in a restricted four-body problem
• Stability of equilibria and fixed points of conservative systems
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem
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