LEADER 03141nam 2200601 450 001 9910819072903321 005 20170822144210.0 010 $a1-4704-1483-X 035 $a(CKB)3780000000000296 035 $a(EBL)3114114 035 $a(SSID)ssj0001352070 035 $a(PQKBManifestationID)11751716 035 $a(PQKBTitleCode)TC0001352070 035 $a(PQKBWorkID)11309999 035 $a(PQKB)11108579 035 $a(MiAaPQ)EBC3114114 035 $a(RPAM)17922638 035 $a(PPN)19540856X 035 $a(EXLCZ)993780000000000296 100 $a20150417h20132013 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aRelative equilibria in the 3-dimensional curved n-body problem /$fFlorin Diacu 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2013. 210 4$dİ2013 215 $a1 online resource (92 p.) 225 1 $aMemoirs of the American Mathematical Society,$x1947-6221 ;$vVolume 228, Number 1071 300 $a"Volume 228, Number 1071 (third of 5 numbers)." 311 $a0-8218-9136-7 320 $aIncludes bibliographical references. 327 $a""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 _{ }A?³ and a???_{ }A?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"" 327 $a""14. Qualitative behaviour of the relative equilibria in _{ }A?³""""15. Qualitative behaviour of the relative equilibria in a???_{ }A?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"" 327 $a""Bibliography"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 228, Number 1071. 517 3 $aRelative equilibria in the three-dimensional curved n-body problem 606 $aMany-body problem 606 $aSpaces of constant curvature 606 $aCelestial mechanics 615 0$aMany-body problem. 615 0$aSpaces of constant curvature. 615 0$aCelestial mechanics. 676 $a531.16 700 $aDiacu$b Florin$f1959-$063014 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910819072903321 996 $aRelative equilibria in the 3-dimensional curved n-body problem$93999467 997 $aUNINA