TY  - BOOK
AU  - Diacu,Florin
TI  - Relative Equilibria in the 3-Dimensional Curved n-Body Problem
T2  - Memoirs of the American Mathematical Society
SN  - 9781470414832
AV  - QB362.M3 -- .D534 2013eb 
U1  - 531.16 
PY  - 2014///
CY  - Providence
PB  - American Mathematical Society
KW  - Many-body problem
KW  - Spaces of constant curvature
KW  - Celestial mechanics
KW  - Electronic books
N1  - 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
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114114
ER  -