3 papers
math.DS2022
On the centered co-circular central configurations for the n-body problem
Zhiqiang Wang
For the power-law potential -body problem, we study a special kind of central configurations where all the masses lie on a circle and the center of mass coincides with the cente…
math.DS2022
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…
math.DS2019
Action minimizing orbits in the 2-center problems with simple choreography constraint
Furong Zhao, Zhiqiang Wang
The aim of this paper is to study the motion of -body problem where two equal masses are assumed to be fixed. We assume that the value of each fixed mass is equal to and…