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The Restricted 3-Body Problem: Plane Periodic Orbits: 17 (De Gruyter Expositions in Mathematics, 17) - Hardcover

Book 29 of 95: De Gruyter Expositions in Mathematics

Bruno

 
9783110137033: The Restricted 3-Body Problem: Plane Periodic Orbits: 17 (De Gruyter Expositions in Mathematics, 17)

Synopsis

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Review

"This beautiful book is written by a prominent specialist in the qualitative theory of ordinary differential equations, especially the theory of Hamiltonian systems and applications to celestial mechanics. Although devoted mainly to the restricted 3-body problem (R3BP), it can serve as a perfect model of how such qualitative methods can be applied in the study of a classical problem of mechanics. The book will undoubtedly become a reference source for people interested in the topics mentioned above [...]." Mathematical Reviews (review of the original Russian edition)

Synopsis

A description primarily of the periodic solutions of the restricted problems by means of generating solutions and their perturbations, but also of other solutions (conditionally-periodic, unbounded, arc solutions, etc.). The treatment is based on a systematic application of the local method (in particular, the method of normal forms) and the method

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