Generating families in the restricted three-body problem. II, quantitative study of bifurcations
The classical restricted three-body problem is of fundamental importance because of its applications in astronomy and space navigation, and also as a simple model of a non-integrable Hamiltonian dynamical system. A central role is played by periodic orbits, of which many have been computed numerical...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Livre numérique |
| Sprache: | Anglais |
| Veröffentlicht: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Schriftenreihe: | Lecture notes in physics. M, Monographs
65 |
| Schlagworte: | |
| Online Zugang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Anmerkung: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Generating families in the restricted three-body problem, II, quantitative study of bifurcations, Michel Hénon, New York, Springer, 2001, 1 vol. (XII-300 p.), Lecture notes in physics, 3-540-41733-8 • Generating Families in the Restricted Three-Body Problem, Texte imprimé, 9783662145166 • Generating Families in the Restricted Three-Body Problem, Texte imprimé, 9783662145173 |
| LEADER | 03626nam a22003737a 4500 | ||
|---|---|---|---|
| 001 | 970350 | ||
| 008 | 110927q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN155188747 | ||
| 020 | |a 9783540447122 (PDF) | ||
| 041 | 0 | |a eng | |
| 082 | |a 521 | ||
| 100 | 1 | |a Hénon, Michel, |d 1931-2013, |c astronome. | |
| 245 | 1 | 0 | |a Generating families in the restricted three-body problem. |n II, |p quantitative study of bifurcations |c Michel Hénon. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in physics. M, Monographs |v 65 |x 1619-3407 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Definitions and General Equations -- Quantitative Study of Type 1 -- Partial Bifurcation of Type 1 -- Total Bifurcation of Type 1 -- The Newton Approach -- Proving General Results -- Quantitative Study of Type 2 -- The Case 1/3 v < 1/2 -- Partial Transition 2.1 -- Total Transition 2.1 -- Partial Transition 2.2 -- Total Transition 2.2 -- Bifurcations 2T1 and 2P1. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a The classical restricted three-body problem is of fundamental importance because of its applications in astronomy and space navigation, and also as a simple model of a non-integrable Hamiltonian dynamical system. A central role is played by periodic orbits, of which many have been computed numerically. This is the second volume of an attempt to explain and organize the material through a systematic study of generating families, the limits of families of periodic orbits when the mass ratio of the two main bodies becomes vanishingly small. We use quantitative analysis in the vicinity of bifurcations of types 1 and 2. In most cases the junctions between branches can now be determined. A first-order approximation of families of periodic orbits in the vicinity of a bifurcation is also obtained. This book is intended for scientists and students interested in the restricted problem, in its applications to astronomy and space research, and in the theory of dynamical systems. | ||
| 650 | |a Problème à trois corps | ||
| 650 | |a Théorie de la bifurcation | ||
| 650 | |a Mécanique céleste | ||
| 776 | 0 | |0 058895140 |t Generating families in the restricted three-body problem |h II |i quantitative study of bifurcations |f Michel Hénon |c New York |n Springer |d 2001 |p 1 vol. (XII-300 p.) |s Lecture notes in physics |z 3-540-41733-8 | |
| 776 | 0 | |t Generating Families in the Restricted Three-Body Problem |b Texte imprimé |z 9783662145166 | |
| 776 | 0 | |t Generating Families in the Restricted Three-Body Problem |b Texte imprimé |z 9783662145173 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/3-540-44712-1 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-K2LPN3C5-Q |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750664134 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/3-540-44712-1 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754013480 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/3-540-44712-1 |z Accès INSA CVL | |
| 997 | |0 970350 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||