Reflection symmetry in the equal-mass $1+N$ coorbital problem for $5\le N\le 8$

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…