On the Problem of Infinite Spin in Total Collisions of the Planar $N$-Body Problem (Memoirs of the American Mathematical Society)

Yu, Xiang

American Mathematical Society（2025/03発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 82 p.
• 言語 ENG
• 商品コード 9781470472498

Full Description

The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.

Contents

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