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...

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Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Hénon, Michel, 1931-2013, astronome
Μορφή: Livre numérique
Γλώσσα:Anglais
Έκδοση: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Σειρά:Lecture notes in physics. M, Monographs 65
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Σημείωση: Archives Springer e-books (Licence nationale)
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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
Πίνακας περιεχομένων:
  • 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.