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Record Nr. |
UNINA9910796032503321 |
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Autore |
Diacu Florin <1959-> |
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Titolo |
Relative equilibria in the 3-dimensional curved n-body problem / / Florin Diacu |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2013 |
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©2013 |
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ISBN |
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Descrizione fisica |
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1 online resource (92 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 1947-6221 ; ; Volume 228, Number 1071 |
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Disciplina |
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Soggetti |
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Many-body problem |
Spaces of constant curvature |
Celestial mechanics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 228, Number 1071 (third of 5 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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"" |
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