Methods of Celestial Mechanics
Methods of Celestial Mechanics

Author: Dirk Brouwer

Publisher: Elsevier

Published: 2013-09-03

Total Pages: 611

ISBN-13: 148322578X

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Methods of Celestial Mechanics provides a comprehensive background of celestial mechanics for practical applications. Celestial mechanics is the branch of astronomy that is devoted to the motions of celestial bodies. This book is composed of 17 chapters, and begins with the concept of elliptic motion and its expansion. The subsequent chapters are devoted to other aspects of celestial mechanics, including gravity, numerical integration of orbit, stellar aberration, lunar theory, and celestial coordinates. Considerable chapters explore the principles and application of various mathematical methods. This book is of value to mathematicians, physicists, astronomers, and celestial researchers.

Lectures on the Geometry of Numbers
Lectures on the Geometry of Numbers

Author: Carl Ludwig Siegel

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 168

ISBN-13: 366208287X

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Carl Ludwig Siegel gave a course of lectures on the Geometry of Numbers at New York University during the academic year 1945-46, when there were hardly any books on the subject other than Minkowski's original one. This volume stems from Siegel's requirements of accuracy in detail, both in the text and in the illustrations, but involving no changes in the structure and style of the lectures as originally delivered. This book is an enticing introduction to Minkowski's great work. It also reveals the workings of a remarkable mind, such as Siegel's with its precision and power and aesthetic charm. It is of interest to the aspiring as well as the established mathematician, with its unique blend of arithmetic, algebra, geometry, and analysis, and its easy readability.

New Methods of Celestial Mechanics
New Methods of Celestial Mechanics

Author: Jan Vrbik

Publisher: Bentham Science Publishers

Published: 2010-01-01

Total Pages: 124

ISBN-13: 1608051870

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"The book attempts to explain the main features of celestial mechanics using a new and unique technique. Its emphasis, in terms of applications, is on the Solar System, including its most peculiar properties (such as chaos, resonances, relativistic correct"

Stability and Chaos in Celestial Mechanics
Stability and Chaos in Celestial Mechanics

Author: Alessandra Celletti

Publisher: Springer Science & Business Media

Published: 2010-03-10

Total Pages: 265

ISBN-13: 3540851461

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This overview of classical celestial mechanics focuses the interplay with dynamical systems. Paradigmatic models introduce key concepts – order, chaos, invariant curves and cantori – followed by the investigation of dynamical systems with numerical methods.

Celestial Mechanics
Celestial Mechanics

Author: Alessandra Celletti

Publisher: Springer Science & Business Media

Published: 2007-06-24

Total Pages: 277

ISBN-13: 0387685774

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The aim of this book is to demonstrate to a wider audience, as well as to a more skilled audience, the many fascinating aspects of modern celestial mechanics. It sets out to do this without the use of mathematics. After giving the reader the technical tools needed for a basic understanding of the underlying physical phenomena (using only elementary mathematics), facts and figures are provided on historical events, modern discoveries and future applications. Contents are divided into major topics where the three "souls" of modern celestial mechanics (dynamical systems, Solar System and stellar systems, spaceflight dynamics) play a major role.