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

Xiang Yu (Autor)

Buch | Softcover

82 Seiten

2025
American Mathematical Society (Verlag)
978-1-4704-7249-8 (ISBN)

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Curating a rich collection of original research in both pure and applied mathematics, this series assembles extensive, peer-reviewed studies that form coherent groups around interrelated topics. It offers readers rigorous analyses and insightful perspectives on advanced mathematical concepts.

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.

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

Erscheinungsdatum	04.03.2025
Reihe/Serie	Memoirs of the American Mathematical Society
Verlagsort	Providence
Sprache	englisch
Maße	178 x 254 mm
Themenwelt	Naturwissenschaften ► Physik / Astronomie
ISBN-10	1-4704-7249-X / 147047249X
ISBN-13	978-1-4704-7249-8 / 9781470472498
Zustand	Neuware