Relative Equilibria in the 3-Dimensional Curved n-Body Problem.
Diacu, Florin.
Relative Equilibria in the 3-Dimensional Curved n-Body Problem. - 1st ed. - 1 online resource (92 pages) - Memoirs of the American Mathematical Society ; v.228 . - Memoirs of the American Mathematical Society .
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.
9781470414832
Many-body problem.
Spaces of constant curvature.
Celestial mechanics.
Electronic books.
QB362.M3 -- .D534 2013eb
531.16
Relative Equilibria in the 3-Dimensional Curved n-Body Problem. - 1st ed. - 1 online resource (92 pages) - Memoirs of the American Mathematical Society ; v.228 . - Memoirs of the American Mathematical Society .
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.
9781470414832
Many-body problem.
Spaces of constant curvature.
Celestial mechanics.
Electronic books.
QB362.M3 -- .D534 2013eb
531.16