On the Problem of Infinite Spin in Total Collisions of the Planar $N$-Body Problem

Xiang Yu, Tianjin University, People's Republic of China, and Southwestern University of Finance and Economics, Chengdu, People's Republic of China.

• Chapters1. Introduction2. Preliminaries3. Equations of Motion for Collision Orbits and $PISPW$4. Resolving $PISPW$5. Manifold of Collision Orbits6. Conclusion and QuestionsA. Degeneracy of Central ConfigurationsB. Central Configurations of Four BodiesC. Diagonalization of the Linear PartD. Normal FormsE. Plane Equilibrium Points