The Restricted 3-Body Problem

Plane Periodic Orbits

By: Alexander D. Bruno

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Hardcover | 1 September 1994

At a Glance

Hardcover
378 Pages

Age
22

Grade
17

Dimensions(cm)
23.0 x 15.5 x 2.54

Hardcover

$343.11

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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

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, Bostjan Gabrovsek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

Industry Reviews

"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)

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You Can Find This Book In

Non-Fiction Science Physics Mathematics Calculus & Mathematical Analysis Differential Calculus & Equations Geometry Fractal Geometry Astronomy, Space & Time Topology Applied Mathematics

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

The Restricted 3-Body Problem

Plane Periodic Orbits

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

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