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Generating Families in the Restricted Three-Body Problem
By:Michel Henon
Published on 2001-04-24 by Springer Science & Business Media


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.

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Book ID of Generating Families in the Restricted Three-Body Problem's Books is 0N0axkgboTUC, Book which was written byMichel Henonhave ETAG "d3K5DLUtxaE"

Book which was published by Springer Science & Business Media since 2001-04-24 have ISBNs, ISBN 13 Code is 9783540417330 and ISBN 10 Code is 3540417338

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