On the problem of infinite spin in total collisions of the planar n-body problem.

Cover
Title page
Chapter 1. Introduction
Chapter 2. Preliminaries
2.1. Central Configurations
2.2. Moving Coordinates
2.3. Invariant Set
Chapter 3. Equations of Motion for Collision Orbits and
3.1. Equations of Motion
3.2. The Problem of Infinite Spin or Painlevé-Wintner ( )
Chapter 4. Resolving
4.1. ₀=0
4.2. ₀>0
4.3. Summary
Chapter 5. Manifold of Collision Orbits
5.1. ₀=0
5.2. ₀>0
5.3. Analytic Extension
Chapter 6. Conclusion and Questions
Appendix A. Degeneracy of Central Configurations

A.1. Degeneracy of a Constrained Critical Point
A.2. Degeneracy of Central Configurations
Appendix B. Central Configurations of Four Bodies
B.1. Preliminaries
B.2. Equilateral Central Configurations
B.3. Rhombic Central Configurations
B.4. Central Configurations With Degree of Degeneracy Two
Appendix C. Diagonalization of the Linear Part
Appendix D. Normal Forms
Appendix E. Plane Equilibrium Points
Bibliography
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