15 citations · 51 across the 14 of their papers we have counts for
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math.DS2015★ 8 cited
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…
math.DS2015★ 4 cited
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…
math.DS2015★ 15 cited
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-…