3 papers
math.DS2026
Concave Kite Central Configurations in the Planar Four-Body Problem with Three Equal Masses
Yangshanshan Liu, Zhifu Xie
We present a complete classification of concave kite central configurations in the planar 4-body problem with three equal masses. There are two different types of central configura…
math.DS2025
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-ph2024
On the uniqueness of the strictly convex quadrilateral central configuration with a fixed angle
Yangshanshan Liu, Shiqing Zhang
The conjecture of the existence and the uniqueness of the strictly convex quadrilateral central configuration for the Newtonian 4-body problem is one of the most-talked open proble…