03061nam 2200589 450 991048063550332120170822144210.01-4704-1483-X(CKB)3780000000000296(EBL)3114114(SSID)ssj0001352070(PQKBManifestationID)11751716(PQKBTitleCode)TC0001352070(PQKBWorkID)11309999(PQKB)11108579(MiAaPQ)EBC3114114(PPN)19540856X(EXLCZ)99378000000000029620150417h20132013 uy 0engur|n|---|||||txtccrRelative equilibria in the 3-dimensional curved n-body problem /Florin DiacuProvidence, Rhode Island :American Mathematical Society,2013.©20131 online resource (92 p.)Memoirs of the American Mathematical Society,1947-6221 ;Volume 228, Number 1071"Volume 228, Number 1071 (third of 5 numbers)."0-8218-9136-7 Includes bibliographical references.""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 _{ }Â³ and â??_{ }Â³""; ""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 _{ }Â³""""15. Qualitative behaviour of the relative equilibria in â??_{ }Â³""; ""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""Memoirs of the American Mathematical Society ;Volume 228, Number 1071.Many-body problemSpaces of constant curvatureCelestial mechanicsElectronic books.Many-body problem.Spaces of constant curvature.Celestial mechanics.531.16Diacu Florin1959-63014MiAaPQMiAaPQMiAaPQBOOK9910480635503321Relative equilibria in the 3-dimensional curved n-body problem1948140UNINA