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The Restricted 3-Body Problem : Plane Periodic Orbits - Alexander D. Bruno

The Restricted 3-Body Problem

Plane Periodic Orbits

Hardcover Published: 1st September 1994
ISBN: 9783110137033
Number Of Pages: 376
For Ages: 22+ years old

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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 Ceara, 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

Yakov G. Berkovich and Z. Janko, Groups of Prime Power Order, Volume 6 (2018)
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 Urbanski, and Anna Zdunik, Random and Conformal Dynamical Systems (2021)
Ioannis Diamantis, Botjan Gabrovek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

Preface
Basic notation
Introductionp. 1
Mathematical meansp. 11
The normal form of a Hamiltonian systemp. 13
Normalization of a Hamiltonian system near a cycle or a torusp. 54
Solutions of the limiting problem ([mu] = 0)p. 93
Periodic solutions and arc solutionsp. 95
Properties of arc solutions of the families S and T[subscript N]p. 133
Extrema of the Hamiltonian function on families of arc solutionsp. 178
Trajectories of collisionsp. 194
Regular generating solutionsp. 233
Solutions of the second kindp. 235
Solutions of the first kindp. 266
Generating arc solutions from [actual symbol not reproducible]p. 298
Perturbations of hyperbolic orbitsp. 317
Appendix: Tables of generating families and their perturbationsp. 327
Bibliographyp. 347
Author indexp. 357
Subject indexp. 359
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783110137033
ISBN-10: 3110137038
Series: De Gruyter Expositions in Mathematics
Audience: Professional
For Ages: 22+ years old
Format: Hardcover
Language: English
Number Of Pages: 376
Published: 1st September 1994
Publisher: De Gruyter
Country of Publication: DE
Dimensions (cm): 23.0 x 15.5  x 3.1
Weight (kg): 0.78