40 citations · 40 across the 2 of their papers we have counts for
3 papers
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.DS2018
Planar -body central configurations with a homogeneous potential
Marshall Hampton
Central configurations give rise to self-similar solutions to the Newtonian -body problem, and play important roles in understanding its complicated dynamics. Even the simple qu…
math-ph2009★ 40 cited
Seven-body central configurations: a family of central configurations in the spatial seven-body problem
Marshall Hampton, Manuele Santoprete
The main result of this paper is the existence of a new family of central configurations in the Newtonian spatial seven-body problem. This family is unusual in that it is a simplex…