17 citations · 17 across the 4 of their papers we have counts for
4 papers
The Symmetry and Linear Stability of Convex 1+5 Coorbital Central Configurations with Homogeneous Potential
Yiyang Deng, Jiangtao Xu
For the planar Newtonian 1+N-body problem when the N masses tend to zero, the corresponding relative equilibria become coorbital around the dominant mass. In this work, we focus on…
Symmetry and Asymmetry in the 1+N Coorbital Problem
Yiyang Deng, Marshall Hampton, Zhiqiang Wang
The relative equilibria of planar Newtonian -body problem become coorbital around a central mass in the limit when all but one of the masses becomes zero. We prove a variety of…
Equilateral Chains and Cyclic Central Configurations of the Planar 5-body Problem
Yiyang Deng, Marshall Hampton
Central configurations and relative equilibria are an important facet of the study of the -body problem, but become very difficult to rigorously analyze for . In this paper…
Four-body Central Configurations with Adjacent Equal Masses
Yiyang Deng, Bingyu Li, Shiqing Zhang
For any convex non-collinear central configuration of the planar Newtonian 4-body problem with adjacent equal masses , with equal lengths for the two diagonals…