2 papers
math.DS2026
Planar Central Configurations of Four Equal Masses: Classification and Morse Indices
Xiaoxiang Huangfu, Huatong Shen
We study the planar central configurations of four equal positive masses under homogeneous interactions with force exponent . For , we prove that there are exactly f…
math.DS2026
Reflection symmetry in the equal-mass coorbital problem for
Xiaoxiang Huangfu, Zijian Meng
We study reflection symmetry in the equal-mass Newtonian \(1+N\) coorbital problem for \(N=5,6,7,8\). We prove that every collision-free solution of the angular central-configurati…