
On the Problem of Infinite Spin in Total Collisions of the Planar $N$-Body Problem
Xiang Yu(Author)
American Mathematical Society (Publisher)
Published on 31. March 2025
Book
Paperback/Softback
82 pages
978-1-4704-7249-8 (ISBN)
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.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
ISBN-13
978-1-4704-7249-8 (9781470472498)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Person
Xiang Yu, Tianjin University, People's Republic of China, and Southwestern University of Finance and Economics, Chengdu, People's Republic of China.
Content
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
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