Generating Families in the Restricted Three-Body Problem (Lecture Notes in Physics Monographs, 52, Band 52) - Hardcover

Henon, Michel

Hardcover

ISBN 10: 3540638024 ISBN 13: 9783540638025

Verlag: Springer, 1997

Inhaltsangabe

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The classical restricted problem of three bodies is of fundamental importance for its applications to 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 a large number have been computed numerically. In this book an attempt is made to explain and organize this material through a systematic study of generating families, which are the limits of families of periodic orbits when the mass ratio of the two main bodies becomes vanishingly small. The most critical part is the study of bifurcations, where several families come together and it is necessary to determine how individual branches are joined. Many different cases must be distinguished and studied separately. Detailed recipes are given. Their use is illustrated by determining a number of generating families, associated with natural families of the restricted problem, and comparing them with numerical computations in the Earth-Moon and Sun-Jupiter case.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 1997
• Sprache: Englisch
• ISBN 10: 3540638024
• ISBN 13: 9783540638025
• Einband: Gebundene Ausgabe
• Anzahl der Seiten: 291
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