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KAM stability and celestial mechanics / / Alessandra Celletti, Luigi Chierchia
| KAM stability and celestial mechanics / / Alessandra Celletti, Luigi Chierchia |
| Autore | Celletti A (Alessandra) |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2007 |
| Descrizione fisica | 1 online resource (150 p.) |
| Disciplina | 521 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Three-body problem
Celestial mechanics Perturbation (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0482-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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""
""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"" ""4.1. Iso-energetic Lindstedt series for the Sun-Jupiter-Asteroid problem and choice of the initial approximate tori (u[sup((0)±)], v[sup((0)±)], w[sup((0)±)])""""4.2. Evaluation of the input parameters of the KAM norm map associated to the approximate tori (u[sup((0)±)], v[sup((0)±)], w[sup((0)±)])""; ""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"" ""B.2. Estimates on s[sub(p)],k(Î?)""""Appendix C. Interval Arithmetic""; ""Appendix D. A Guide to the Computer Programs""; ""Bibliography"" |
| Record Nr. | UNINA-9910480507803321 |
Celletti A (Alessandra)
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
KAM stability and celestial mechanics / / Alessandra Celletti, Luigi Chierchia
| KAM stability and celestial mechanics / / Alessandra Celletti, Luigi Chierchia |
| Autore | Celletti A (Alessandra) |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2007 |
| Descrizione fisica | 1 online resource (150 p.) |
| Disciplina | 521 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Three-body problem
Celestial mechanics Perturbation (Mathematics) |
| ISBN | 1-4704-0482-6 |
| Classificazione |
39.23
31.81 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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""
""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"" ""4.1. Iso-energetic Lindstedt series for the Sun-Jupiter-Asteroid problem and choice of the initial approximate tori (u[sup((0)±)], v[sup((0)±)], w[sup((0)±)])""""4.2. Evaluation of the input parameters of the KAM norm map associated to the approximate tori (u[sup((0)±)], v[sup((0)±)], w[sup((0)±)])""; ""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"" ""B.2. Estimates on s[sub(p)],k(Î?)""""Appendix C. Interval Arithmetic""; ""Appendix D. A Guide to the Computer Programs""; ""Bibliography"" |
| Record Nr. | UNINA-9910788744103321 |
|
Celletti A (Alessandra)
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
KAM stability and celestial mechanics / / Alessandra Celletti, Luigi Chierchia
| KAM stability and celestial mechanics / / Alessandra Celletti, Luigi Chierchia |
| Autore | Celletti A (Alessandra) |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2007 |
| Descrizione fisica | 1 online resource (150 p.) |
| Disciplina | 521 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Three-body problem
Celestial mechanics Perturbation (Mathematics) |
| ISBN | 1-4704-0482-6 |
| Classificazione |
39.23
31.81 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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""
""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"" ""4.1. Iso-energetic Lindstedt series for the Sun-Jupiter-Asteroid problem and choice of the initial approximate tori (u[sup((0)±)], v[sup((0)±)], w[sup((0)±)])""""4.2. Evaluation of the input parameters of the KAM norm map associated to the approximate tori (u[sup((0)±)], v[sup((0)±)], w[sup((0)±)])""; ""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"" ""B.2. Estimates on s[sub(p)],k(Î?)""""Appendix C. Interval Arithmetic""; ""Appendix D. A Guide to the Computer Programs""; ""Bibliography"" |
| Record Nr. | UNINA-9910827760803321 |
|
Celletti A (Alessandra)
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||