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

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS(2022)

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摘要
This note follows up on the study in the paper [Zepeda Ramirez et al., 2021], where we investigate the nonlinear stability of equilibrium points for the planar restricted equilateral four-body problem for the specific values of masses m(1) = 0.01 and 0.99 of the primary, fixed on the horizontal axis. We give an improvement of the previous results.
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关键词
Equilateral four-body problem, elliptic equilibrium, Lyapunov stability, resonance
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