7 citations · 17 across the 4 of their papers we have counts for
5 papers
Determination of the doubly-symmetric periodic orbits in the restricted three-body problem and Hill's lunar problem
Xingbo Xu
We review some recent progress on the research of the periodic orbits of the N-body problem,and propose a numerical scheme to determine the spatial doubly-symmetric periodic orbits…
Doubly-symmetric periodic orbits in the spatial Hill's lunar problem with oblate secondary primary
Xingbo Xu
In this article we consider the existence of a family of doubly-symmetric periodic orbits in the spatial circular Hill's lunar problem, in which the secondary primary at the origin…
EM Algorithm and Stochastic Control in Economics
Steven Kou, Xianhua Peng, Xingbo Xu
Generalising the idea of the classical EM algorithm that is widely used for computing maximum likelihood estimates, we propose an EM-Control (EM-C) algorithm for solving multi-peri…
Linear stability of the n-gon relative equilibria of the (1+n)-body problem
Xingbo Xu
We consider the linear stabilities of the regular n-gon relative equilibria of the (1+n)-body problem. It is shown that there exist at most two kinds of infinitesimal bodies arrang…
A first-order dynamical model of hierarchical triple stars and its application
Xingbo Xu, Fang Xia, Yanning Fu
For most hierarchical triple stars, the classical double two-body model of zeroth-order cannot describe the motions of the components under the current observational accuracy. In t…