15 citations · 51 across the 14 of their papers we have counts for
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Linear stability of the elliptic relative equilibria for the restricted N-body problem: two special cases
Jiashengliang Xie, Bowen Liu, Qinglong Zhou
In this paper, we consider the elliptic relative equilibria of the restricted -body problems, where the primaries form an Euler-Moulton collinear central configuration or…
Linear stability of the elliptic relative equilibria for the restricted -body problem: the Euler case
Bowen Liu, Qinglong Zhou
In this paper, we consider the elliptic relative equilibria of the restricted -body problems, where the three primaries form an Euler collinear configuration and the four bodies…
The analytical aspect to the linear stability of elliptic equilibrium points of the Robe's restricted three-body problem
Qinglong Zhou, Yongchao Zhang
We study the Robe's restricted three-body problem. Such a motion was firstly studied by A. G. Robe in \cite{Robe}, which is used to model small oscillations of the earth's inner co…
The reduction on the linear stability of elliptic Euler-Moulton solutions of the n-body problem to those of 3-body problems
Qinglong Zhou, Yiming Long
In this paper, we consider the elliptic collinear solutions of the classical -body problem, where the bodies always stay on a straight line, and each of them moves on its ow…
Equivalence of linear stabilities of elliptic triangle solutions of the planar charged and classical three-body problems
Qinglong Zhou, Yiming Long
In this paper, we prove that the linearized system of elliptic triangle homographic solution of planar charged three-body problem can be transformed to that of the elliptic equilat…
Maslov-type indices and linear stability of elliptic Euler solutions of the three-body problem
Qinglong Zhou, Yiming Long
In this paper, we use the central configuration coordinate decomposition to study the linearized Hamiltonian system near the elliptic Euler solutions. Then using the Maslov-type ω-…