2 papers
math.DS2026
Symmetric Central Configurations in the Concave 4-Body Problem with Two Pairs of Equal Masses
Yangshanshan Liu, Zhifu Xie
We establish the existence of a single-parameter family of the concave kite central configurations in the 4-body problem with two pairs of equal masses. In such configurations, one…
math.DS2026
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…