4 papers
Degeneracy of Planar 4-body Kite Central Configurations: Restricted and Full Space Perspective
Shanzhong Sun, Zhifu Xie, Peng You
Based on our previously proposed direct approach to central configurations in the full configuration space, we study the degeneracy of planar four-body kite central configurations…
Degeneracy of Planar Central Configurations in the -Body Problem
Shanzhong Sun, Zhifu Xie, Peng You
The degeneracy of central configurations in the planar -body problem makes their enumeration problem hard and the related dynamics appealing. To truly understand the bifurcation…
On the Uniqueness of Convex Central Configurations in the Planar -Body Problem
Shanzhong Sun, Zhifu Xie, Peng You
In this paper, we provide a rigorous computer-assisted proof (CAP) of the conjecture that there exists a unique convex central configuration for any four fixed positive masses in a…
Monodromy of Complexified Planar Kepler Problem
Shanzhong Sun, Peng You
The planar Kepler problem is complexified and we show that this holomorphic completely integrable Hamiltonian system has nontrivial monodromy.