The Kepler Problem: Group Theoretical Aspects, Regularization and Quantization, with Application to the Study of Perturbations [With CDROM] Hardcover - 2002
by Bruno Cordani
First line
The aim of this book is rather ambitious, namely to gather and order in a logical way most of the important ideas published on the Kepler Problem, i.e., on the motion of a particle under an attractive or repulsive force, decreasing with the square of the distance from a fixed point.
From the rear cover
This book contains a comprehensive treatment of the Kepler problem, i.e., the two body problem. It is divided into four parts. In the first part, written at an undergraduate student level, the arguments are presented in an elementary fashion, and the properties of the problem are demonstrated in a purely computational manner. In the second part a unifying point of view, original to the author, is presented which centers the exposition on the intrinsic group-geometrical aspects. This part requires more mathematical background, which the reader will find in the fourth part, in particular, the basic tools of differential geometry and analytical mechanics used in the book. The third part exploits some results of the second part to give a geometrical description of the perturbation theory of the Kepler problem.
Each of the four parts, which are to some extent independent, could itself form the basis for a one-semester course. The accompanying CD contains mainly the Microsoft Windows program KEPLER developed by the author. This program calculates the effects of any perturbation of the Kepler problem and plots the resulting trajectories.
Details
- Title The Kepler Problem: Group Theoretical Aspects, Regularization and Quantization, with Application to the Study of Perturbations [With CDROM]
- Author Bruno Cordani
- Binding Hardcover
- Edition First
- Pages 442
- Volumes 1
- Language ENG
- Publisher Birkhauser
- Date 2002-12-11
- Illustrated Yes
- Features Bibliography, Illustrated, Index, Table of Contents
- ISBN 9783764369026 / 3764369027
- Weight 2.06 lbs (0.93 kg)
- Dimensions 9.38 x 6.34 x 1.17 in (23.83 x 16.10 x 2.97 cm)
- Library of Congress Catalog Number 2002038465
- Dewey Decimal Code 521.3
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The Kepler Problem: Group Theoretical Aspects, Regularization and Quantization, With Application to the Study of Perturbations
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The Kepler Problem: Group Theoretical Aspects, Regularization and Quantization, with Application to the Study of Perturbations (Progress in Mathematical Physics, 29)
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The Kepler Problem: Group Theoretical Aspects, Regularization and Quantization, with Application to the Study of Perturbations (Progress in Mathematical Physics, 29)
by Cordani, Bruno
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