4 papers
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 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…
Trace estimation of a family of periodic Sturm-Liouville operators with application to Robe's restricted three-body problem
Qinglong Zhou
In this paper, we consider a family of Sturm-Liouville operators on the -periodic domain. The bifurcation with respect to the parameter region is studied, and the elliptic regio…
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…