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.

Chapters 1. Introduction 2. Preliminaries 3. Equations of Motion for Collision Orbits and $PISPW$ 4. Resolving $PISPW$ 5. Manifold of Collision Orbits 6. Conclusion and Questions A. Degeneracy of Central Configurations B. Central Configurations of Four Bodies C. Diagonalization of the Linear Part D. Normal Forms E. Plane Equilibrium Points