Details

Subject(s)

• Celestial mechanics [Browse]

Series

• Princeton landmarks in mathematics and physics. [More in this series]
• Hermann Weyl lectures. [More in this series]
• Princeton Landmarks in Mathematics and Physics ; 77

Summary note

For centuries, astronomers have been interested in the motions of the planets and in methods to calculate their orbits. Since Newton, mathematicians have been fascinated by the related N-body problem. They seek to find solutions to the equations of motion for N masspoints interacting with an inverse-square-law force and to determine whether there are quasi-periodic orbits or not. Attempts to answer such questions have led to the techniques of nonlinear dynamics and chaos theory. In this book, a classic work of modern applied mathematics, Jürgen Moser presents a succinct account of two pillars of the theory: stable and chaotic behavior. He discusses cases in which N-body motions are stable, covering topics such as Hamiltonian systems, the (Moser) twist theorem, and aspects of Kolmogorov-Arnold-Moser theory. He then explores chaotic orbits, exemplified in a restricted three-body problem, and describes the existence and importance of homoclinic points. This book is indispensable for mathematicians, physicists, and astronomers interested in the dynamics of few- and many-body systems and in fundamental ideas and methods for their analysis. After thirty years, Moser's lectures are still one of the best entrées to the fascinating worlds of order and chaos in dynamics.

Notes

"The Institute for Advanced Study."

Bibliographic references

Includes bibliographical references.

Source of description

Description based on online resource; title from PDF title page (publisher's Web site, viewed 08. Jul 2019)

Language note

English

Contents

• Frontmatter
• TABLE OF CONTENTS
• I. INTRODUCTION
• II. STABILITY PROBLEMS
• III. STATISTICAL BEHAVIOR
• V. FINAL REMARKS
• V. EXISTENCE PROOF IN THE PRESENCE OF SMALL DIVISORS
• VI. PROOFS AND DETAILS FOR CHAPTER III
• BOOKS AND SURVEY ARTICLES

Show 6 more Contents items

Other format(s)

Issued also in print.

ISBN

1-4008-8269-9

OCLC

979633883

Doi

• 10.1515/9781400882694

Statement on language in description

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