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[null,"1.","Record Nr.",null,"UNINA9910827760803321"]
[null,null,"Autore",null,"Celletti A (Alessandra)"]
[null,null,"Titolo",null,"KAM stability and celestial mechanics / / Alessandra Celletti, Luigi Chierchia"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , 2007"]
[{"$nulls":4},"©2007"]
[null,null,"ISBN",null,"1-4704-0482-6"]
[null,null,"Descrizione fisica",null,"1 online resource (150 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 187, Number 878"]
[null,null,"Classificazione",null,"39.23"]
[{"$nulls":4},"31.81"]
[null,null,"Disciplina",null,"521"]
[null,null,"Soggetti",null,"Three-body problem"]
[{"$nulls":4},"Celestial mechanics"]
[{"$nulls":4},"Perturbation (Mathematics)"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"Volume 187, Number 878 (third of four numbers).\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"\"\"Contents\"\"; \"\"Chapter 1. Introduction\"\"; \"\"1.1. Quasi-periodic solutions for the n-body problem\"\"; \"\"1.2. A stability theorem for the Sun-Jupiter-Victoria system viewed as a restricted, circular, planar three-body problem\"\"; \"\"1.3. About the proof of the Sun-Jupiter-Victoria stability theorem\"\"; \"\"1.4. A short history of KAM stability estimates\"\"; \"\"1.5. A section-by-section summary\"\"; \"\"Chapter 2. Iso-energetic KAM Theory\"\"; \"\"2.1. Notations\"\"; \"\"2.2. KAM tori\"\"; \"\"2.3. Newton scheme for finding iso-energetic KAM tori\"\"; \"\"2.4. The KAM Map\"\"; \"\"2.5. Technical Tools\"\""]
[{"$nulls":4},"\"\"2.6. The KAM Norm Map\"\"\"\"2.7. Iso-energetic KAM Theorem\"\"; \"\"2.8. Iso-energetic Lindstedt series\"\"; \"\"Chapter 3. The Restricted, Circular, Planar Three-body Problem\"\"; \"\"3.1. The restricted three-body problem\"\"; \"\"3.2. Delaunay action-angle variables for the two-body problem\"\"; \"\"3.3. The restricted, circular, planar three-body problem viewed as nearly-integrable Hamiltonian system\"\"; \"\"3.4. The Sun-Jupiter-Asteroid problem\"\"; \"\"Chapter 4. KAM Stability of the Sun-Jupiter-Victoria Problem\"\""]
[{"$nulls":4},"\"\"4.1. Iso-energetic Lindstedt series for the Sun-Jupiter-Asteroid problem and choice of the initial approximate tori (u[sup((0)Â±)], v[sup((0)Â±)], w[sup((0)Â±)])\"\"\"\"4.2. Evaluation of the input parameters of the KAM norm map associated to the approximate tori (u[sup((0)Â±)], v[sup"]
[{"$nulls":4},"((0)Â±)], w[sup((0)Â±)])\"\"; \"\"4.3. Iterations of the KAM map\"\"; \"\"4.4. Application of the iso-energetic KAM theorem and perpetual stability of the Sun-Jupiter-Victoria problem\"\"; \"\"Appendix A. The Ellipse\"\"; \"\"Appendix B. Diophantine Estimates\"\"; \"\"B.1. Diophantine estimates for special quadratic numbers\"\""]
[{"$nulls":4},"\"\"B.2. Estimates on s[sub(p)],k(Î?)\"\"\"\"Appendix C. Interval Arithmetic\"\"; \"\"Appendix D. A Guide to the Computer Programs\"\"; \"\"Bibliography\"\""]