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math-ph2021
The symplectic reduction of the linearized Hamiltonian systems at elliptic relative equilibria of four-body problem
Qinglong Zhou
In this paper, we consider the elliptic relative equilibria of four-body problem. Here we prove that the corresponding linearized Hamiltonian system at such an elliptic relative eq…
math-ph2019
Linear Stability of Elliptic Relative Equilibria of Restricted Four-body Problem
Bowen Liu, Qinglong Zhou
In this paper, we consider the linear stability of the elliptic relative equilibria of the restricted 4-body problems where the three primaries form a Lagrangian triangle. By reduc…