Classical And Celestial Mechanics

The Recife Lestures

Florin Diacu, Hildeberto Cabral

404 pages, parution le 06/12/2002

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Résumé

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

Central Configurations and Relative Equilibria for The N-Body Problem
Singularities of the N-Body Problem
Lectures on the Two-Body Problem
Normal Forms of Hamiltonian Systems and Stability of Equilibria
Poincaré's Compactification and Applications to Celestial Mechanics
The Motion of the Moon
Lectures of Geometrical Methods in Mechanics
Momentum Maps and Geometric Phases
Bifurcation From Families of Periodic Solutions

L'auteur - Florin Diacu

Florin Diacu is Professor of Mathematics and Director of the Pacific Institute for the Mathematical Sciences at the University of Victoria. He is the author of Singularities of the N-Body Problem and An Introduction to Differential Equations and coauthor of Celestial Encounters (Princeton).

L'auteur - Hildeberto Cabral

Hildeberto Cabral is Professor of Mathematics at the Federal University of Pernambuco in Recife, Brazil. He has published on periodic solutions, stability, and other topics in Hamiltonian systems and celestial mechanics.

Caractéristiques techniques

	PAPIER
Éditeur(s)	Princeton University Press
Auteur(s)	Florin Diacu, Hildeberto Cabral
Parution	06/12/2002
Nb. de pages	404
Format	16,3 x 24
Couverture	Relié
Poids	707g
Intérieur	Noir et Blanc
EAN13	9780691050225
ISBN13	978-0-691-05022-5