Michel Henon

Generating Families in the Restricted Three-Body Problem (eBook, PDF)

II. Quantitative Study of Bifurcations

• Format: PDF

Produktbeschreibung

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.

---

Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.

Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 304
• Erscheinungstermin: 1. Juli 2003
• Englisch
• ISBN-13: 9783540447122
• Artikelnr.: 53147793

Inhaltsangabe

Introduction.- Definition and Properties.- Generating Orbits of the First Species.- Generating Orbits of the Second Species.-Generating Orbits of the Third Species.- Bifurcation Orbits.-Junctions: Symmetry.- Junctions: Broucke's Principle.- Fragments.- Generating Families.- Correspondence Between Old and New Notations.- The Domain D2.- Number of Branches.- Index of Definitions.- Index of Notations.- References.

Rezensionen

From the reviews
"The book is an excellent overview of the state-of-the-art of the restricted three-body problem."
Zentralblatt für Mathematik, 1998

From the reviews

"The book is an excellent overview of the state-of-the-art of the restricted three-body problem."

Zentralblatt für Mathematik, 1998