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On the Problem of Infinite Spin in Total Collisions of the Planar $N$-Body Problem
 
Xiang Yu Tianjin University, Tianjin, People’s Republic of China and Southwestern University of Finance and Economics, Chengdu, People’s Republic of China
Softcover ISBN:  978-1-4704-7249-8
Product Code:  MEMO/304/1532
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Not yet published - Preorder Now!
Expected availability date: January 20, 2025
eBook ISBN:  978-1-4704-8011-0
Product Code:  MEMO/304/1532.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-7249-8
eBook: ISBN:  978-1-4704-8011-0
Product Code:  MEMO/304/1532.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
Not yet published - Preorder Now!
Expected availability date: January 20, 2025
Click above image for expanded view
On the Problem of Infinite Spin in Total Collisions of the Planar $N$-Body Problem
Xiang Yu Tianjin University, Tianjin, People’s Republic of China and Southwestern University of Finance and Economics, Chengdu, People’s Republic of China
Softcover ISBN:  978-1-4704-7249-8
Product Code:  MEMO/304/1532
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Not yet published - Preorder Now!
Expected availability date: January 20, 2025
eBook ISBN:  978-1-4704-8011-0
Product Code:  MEMO/304/1532.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-7249-8
eBook ISBN:  978-1-4704-8011-0
Product Code:  MEMO/304/1532.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
Not yet published - Preorder Now!
Expected availability date: January 20, 2025
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 3042024; 82 pp
    MSC: Primary 70; 34

    View the abstract.

  • Table of 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
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 3042024; 82 pp
MSC: Primary 70; 34

View the abstract.

  • 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
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.