Softcover ISBN:  9780821832509 
Product Code:  CBMS/104 
List Price:  $52.00 
Individual Price:  $41.60 
Electronic ISBN:  9781470424640 
Product Code:  CBMS/104.E 
List Price:  $49.00 
Individual Price:  $39.20 

Book DetailsCBMS Regional Conference Series in MathematicsVolume: 104; 2005; 235 ppMSC: Primary 70;
Written by wellknown expert Donald Saari, this book is directed toward readers who want to learn about the Newtonian \(N\)body problem. It is also intended for students and experts who are interested in new expositions of past results in this area, previously unpublished research conclusions, and new research problems.
Professor Saari has written the book for a broad audience, including readers with no previous knowledge about this fascinating area. He begins each chapter with introductory material motivated by unanswered research questions. He then includes some history, discussions intended to develop intuition, descriptions of open problems, and examples taken from real problems in astronomy.
The first chapter starts with simple explanations of the apparent "looping" orbit of Mars and the unexpected "Sunrise, Sunset" behavior as viewed from Mercury and then leads up to the unexplained and weird dynamics exhibited by Saturn's Fring. The second chapter, which introduces a way to decompose the velocity of the system, is motivated by a seemingly easy but unanswered conjecture involving the dynamics of the system when the system's diameter is a constant. The third chapter, which describes questions about the structure of the rings of Saturn, introduces new and surprisingly simple ways to find configurations of the particles that are "central" to any discussion of the \(N\)body problem. The fourth chapter analyzes collisions, and the last chapter discusses the likelihood of collisions and other events.
The book is suitable for graduate students and researchers interested in celestial mechanics.ReadershipGraduate students and research mathematicians interested in celestial mechanics.

Table of Contents

Chapters

1. Introduction

2. Central configurations

3. Finding central configurations

4. Collisions–Both real and imaginary

5. How likely is it?


Additional Material

Reviews

The book can be useful for readers who are interested in learning celestial mechanics and particularly the Newtonian Nbody problem as well as for students, postgraduate students and experts in this area who are interested in new expositions of past results, previously unpublished research conclusions, and new research problems.
Zentralblatt MATH


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Written by wellknown expert Donald Saari, this book is directed toward readers who want to learn about the Newtonian \(N\)body problem. It is also intended for students and experts who are interested in new expositions of past results in this area, previously unpublished research conclusions, and new research problems.
Professor Saari has written the book for a broad audience, including readers with no previous knowledge about this fascinating area. He begins each chapter with introductory material motivated by unanswered research questions. He then includes some history, discussions intended to develop intuition, descriptions of open problems, and examples taken from real problems in astronomy.
The first chapter starts with simple explanations of the apparent "looping" orbit of Mars and the unexpected "Sunrise, Sunset" behavior as viewed from Mercury and then leads up to the unexplained and weird dynamics exhibited by Saturn's Fring. The second chapter, which introduces a way to decompose the velocity of the system, is motivated by a seemingly easy but unanswered conjecture involving the dynamics of the system when the system's diameter is a constant. The third chapter, which describes questions about the structure of the rings of Saturn, introduces new and surprisingly simple ways to find configurations of the particles that are "central" to any discussion of the \(N\)body problem. The fourth chapter analyzes collisions, and the last chapter discusses the likelihood of collisions and other events.
The book is suitable for graduate students and researchers interested in celestial mechanics.
Graduate students and research mathematicians interested in celestial mechanics.

Chapters

1. Introduction

2. Central configurations

3. Finding central configurations

4. Collisions–Both real and imaginary

5. How likely is it?

The book can be useful for readers who are interested in learning celestial mechanics and particularly the Newtonian Nbody problem as well as for students, postgraduate students and experts in this area who are interested in new expositions of past results, previously unpublished research conclusions, and new research problems.
Zentralblatt MATH