A Note on the Nonlinear Stability of Equilibrium Points in the Planar Equilateral Restricted Mass-Unequal Four-Body Problem

DOI10.1142/S0218127422500298zbMath1492.70011OpenAlexW4212911317MaRDI QIDQ5064623

José Alejandro Zepeda Ramírez, Martha Alvarez-Ramírez, Antonio García

Publication date: 16 March 2022

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127422500298

zbMATH Keywords

Lyapunov stabilityresonanceelliptic equilibriumequilateral four-body problem

Mathematics Subject Classification ID

Dynamical systems in classical and celestial mechanics (37N05) (n)-body problems (70F10) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14)

Related Items (1)

Computer assisted proof of homoclinic chaos in the spatial equilateral restricted four-body problem

Cites Work

• Nonlinear Stability of Equilibrium Points in the Planar Equilateral Restricted Mass-Unequal Four-Body Problem
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem

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