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Relative Equilibria in the 3-Dimensional Curved n-Body Problem.

By: Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 2014Copyright date: ©2013Edition: 1st edDescription: 1 online resource (92 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470414832
Subject(s): Genre/Form: Additional physical formats: Print version:: Relative Equilibria in the 3-Dimensional Curved n-Body ProblemDDC classification:
  • 531.16
LOC classification:
  • QB362.M3 -- .D534 2013eb
Online resources:
Contents:
Intro -- Contents -- Chapter 1. Introduction -- 1. The problem -- 2. Importance -- 3. History -- 4. Results -- Chapter 2. BACKGROUND AND EQUATIONS OF MOTION -- 5. Preliminary developments -- 6. Equations of motion -- 7. First integrals -- 8. Singularities -- Chapter 3. ISOMETRIES AND RELATIVE EQUILIBRIA -- 9. Isometric rotations in _{ }³ and ℍ_{ }³ -- 10. Some geometric properties of the isometric rotations -- 11. Relative equilibria -- 12. Fixed Points -- Chapter 4. CRITERIA AND QUALITATIVE BEHAVIOUR -- 13. Existence criteria for the relative equilibria -- 14. Qualitative behaviour of the relative equilibria in _{ }³ -- 15. Qualitative behaviour of the relative equilibria in ℍ_{ }³ -- Chapter 5. EXAMPLES -- 16. Examples of -positive elliptic relative equilibria -- 17. Examples of -positive elliptic-elliptic relative equilibria -- 18. Examples of -negative elliptic relative equilibria -- 19. Examples of -negative hyperbolic relative equilibria -- 20. Examples of -negative elliptic-hyperbolic relative equilibria -- Chapter 6. CONCLUSIONS -- 21. Stability -- 22. Future perspectives -- Acknowledgment -- Bibliography.
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Intro -- Contents -- Chapter 1. Introduction -- 1. The problem -- 2. Importance -- 3. History -- 4. Results -- Chapter 2. BACKGROUND AND EQUATIONS OF MOTION -- 5. Preliminary developments -- 6. Equations of motion -- 7. First integrals -- 8. Singularities -- Chapter 3. ISOMETRIES AND RELATIVE EQUILIBRIA -- 9. Isometric rotations in _{ }³ and ℍ_{ }³ -- 10. Some geometric properties of the isometric rotations -- 11. Relative equilibria -- 12. Fixed Points -- Chapter 4. CRITERIA AND QUALITATIVE BEHAVIOUR -- 13. Existence criteria for the relative equilibria -- 14. Qualitative behaviour of the relative equilibria in _{ }³ -- 15. Qualitative behaviour of the relative equilibria in ℍ_{ }³ -- Chapter 5. EXAMPLES -- 16. Examples of -positive elliptic relative equilibria -- 17. Examples of -positive elliptic-elliptic relative equilibria -- 18. Examples of -negative elliptic relative equilibria -- 19. Examples of -negative hyperbolic relative equilibria -- 20. Examples of -negative elliptic-hyperbolic relative equilibria -- Chapter 6. CONCLUSIONS -- 21. Stability -- 22. Future perspectives -- Acknowledgment -- Bibliography.

Description based on publisher supplied metadata and other sources.

Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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