Classical and celestial mechanics : the recife lectures / edited by Hildeberto Cabral and Florin Diacu.

Format:

Book

Contributor:

Cabral, Hildeberto, 1940- editor.

Diacu, Florin, 1959-2018, editor.

Language:

English

Subjects (All):

Mechanics.

Many-body problem.

Celestial mechanics.

Physical Description:

1 online resource (408 pages) : illustrations

Place of Publication:

Princeton, New Jersey : Princeton University Press, [2002]

Summary:

This book brings together a number of lectures given between 1993 and 1999 as part of a special series hosted by the Federal University of Pernambuco, in which internationally established researchers came to Recife, Brazil, to lecture on classical or celestial mechanics. Because of the high quality of the results and the general interest in the lecturers' topics, the editors have assembled nine of the lectures here in order to make them available to mathematicians and students around the world. The material presented includes a good balance of pure and applied research and of complete and incomplete results. Bringing together material that is otherwise quite scattered in the literature and including some important new results, it will serve graduate students and researchers interested in Hamiltonian dynamics and celestial mechanics. The contributors are Dieter Schmidt, Ernesto Pérez-Chavela, Mark Levi, Plácido Táboas and Jack Hale, Jair Koiller et al., Hildeberto Cabral, Florin Diacu, and Alain Albouy. The topics covered include central configurations and relative equilibria for the N-body problem, singularities of the N-body problem, the two-body problem, normal forms of Hamiltonian systems and stability of equilibria, applications to celestial mechanics of Poincaré's compactification, the motion of the moon, geometrical methods in mechanics, momentum maps and geometric phases, holonomy for gyrostats, microswimming, and bifurcation from families of periodic solutions.

Contents:

Frontmatter

Contents

Foreword

Preface

Central Configurations and Relative Equilibria for the TV-Body Problem

Singularities of the N-Body Problem

Lectures on the Two-Body Problem

Normal Forms of Hamiltonian Systems and Stability of Equilibria

Poincare's Compactification and Applications to Celestial Mechanics

The Motion of the Moon

Lectures on Geometrical Methods in Mechanics

Momentum Maps and Geometric Phases

Bifurcation from Families of Periodic Solutions

References

Index

Notes:

Includes bibliographical references and index.

Description based on print version record.

ISBN:

9780691222486

0691222487

OCLC:

1312727117