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

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

Name: On the Problem of Infinite Spin in Total Collisions of the Planar $N$-Body Problem
Brand: AMERICAN MATHEMATICAL SOCIETY
SKU: 9781470472498
Price: 197.0 AUD
Availability: InStock

AMERICAN MATHEMATICAL SOCIETYISBN: 9781470472498

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$197.00

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By Xiang Yu
Imprint: AMERICAN MATHEMATICAL SOCIETY
Release Date: April 20, 2025
Format: PAPERBACK
Dimensions: 254 x 178 mm
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Pages: 82

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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

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

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