Classical and Celestial Mechanics: The Recife Lectures

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Overview

"This is an excellent text and reference. I know of no comparable book. Its scope is wide, and the quality of the authors is extremely high."—James Meiss, University of Colorado, Boulder

"These lectures, in addition to containing some new significant results, perform the service of collecting together the material on diverse topics in celestial mechanics in an accessible form."—Edward Belbruno, Princeton University

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What People Are Saying

James Meiss
This is an excellent text and reference. I know of no comparable book. Its scope is wide, and the quality of the authors is extremely high.
James Meiss, University of Colorado, Boulder
Edward Belbruno
These lectures, in addition to containing some new significant results, perform the service of collecting together the material on diverse topics in celestial mechanics in an accessible form.
Edward Belbruno, Princeton University
Read More Show Less

Product Details

  • ISBN-13: 9780691050225
  • Publisher: Princeton University Press
  • Publication date: 9/23/2002
  • Series: Mathematical Sciences Ser.
  • Pages: 384
  • Product dimensions: 6.18 (w) x 9.80 (h) x 1.23 (d)

Table of Contents

Foreword
Preface
Central Configurations and Relative Equilibria for the N-Body Problem 1
App. A The Area of a Triangle 26
App. B Mathematica Code for the Four-Body Problem 29
App. C Mathematica Code for the Planar Five-Body Problem 30
Singularities of the N-Body Problem 35
Lectures on the Two-Body Problem 63
Normal Forms of Hamiltonian Systems and Stability of Equilibria 117
Poincare's Compactification and Applications to Celestial Mechanics 171
The Motion of the Moon 205
App. A Canonical Transformation to Jacobi Coordinates 230
App. B MACSYMA Program for the Intermediate Orbit 233
App. C MACSYMA Program for Inclination 234
App. D MACSYMA Program for First Order Terms in e 235
Lectures on Geometrical Methods in Mechanics 239
Momentum Maps and Geometric Phases 281
Bifurcation from Families of Periodic Solutions 351
References 381
Index 383
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Recipe

"This is an excellent text and reference. I know of no comparable book. Its scope is wide, and the quality of the authors is extremely high."—James Meiss, University of Colorado, Boulder

"These lectures, in addition to containing some new significant results, perform the service of collecting together the material on diverse topics in celestial mechanics in an accessible form."—Edward Belbruno, Princeton University

Read More Show Less

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