Relative equilibria in the 3-dimensional curved n-body problem / / Florin Diacu

• Record Nr.: UNINA9910480635503321
• Autore: Diacu Florin <1959->
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , 2013; ©2013
• ISBN: 1-4704-1483-X
• Descrizione fisica: 1 online resource (92 p.)
• Collana: Memoirs of the American Mathematical Society, , 1947-6221 ; ; Volume 228, Number 1071
• Disciplina: 531.16
• Soggetti: Many-body problem; Spaces of constant curvature; Celestial mechanics; Electronic books.
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: "Volume 228, Number 1071 (third of 5 numbers)."
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: ""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 â??_{ }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 â??_{ }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""