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

Bruno

Hardcover

ISBN 10: 3110137038 ISBN 13: 9783110137033

Publisher: De Gruyter, 1994

Synopsis

The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

About this title

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

Edition details

• Publisher: De Gruyter
• Publication date: 1994
• Language: English
• ISBN 10: 3110137038
• ISBN 13: 9783110137033
• Binding: Hardcover
• Number of pages: 378