Numerical Orbital Stability Analysis of Nonresonant Periodic Motions in the Planar Restricted Four-Body Problem

DOI10.20537/nd221201OpenAlexW4313189677MaRDI QIDQ6054848

Evgeny Volkov, E. A. Sukhov

Publication date: 28 September 2023

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

Full work available at URL: http://mathnet.ru/eng/nd811

zbMATH Keywords

local existenceperiodic solutionnormal form methodrelative equilibriumautonomous Hamiltonian systemlinear orbital stabilitynumerical continuation algorithm

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) (n)-body problems (70F10) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12)

Cites Work

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• Families of periodic orbits in the restricted four-body problem
• On nonlinear motions of Hamiltonian system in case of fourth order resonance
• Dynamical aspects of an equilateral restricted four-body problem
• Grundlagen einer Genealogie der periodischen Bahnen im restringierten Dreikörperproblem. II. Mitt.: Sortengenealogie, Hekubakomplex und Gruppenfortsetzung
• Periodic orbits in the restricted four-body problem with two equal masses
• Periodic orbits in the restricted four-body problem
• Periodic solutions near a resonant equilibrium of a Hamiltonian system

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