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Theory of Orbits Volume 1 Integrable Systems

by

Theory of Orbits Volume 1 Integrable Systems Cover

 

Synopses & Reviews

Publisher Comments:

This textbook treats celestial mechanics as well as stellar dynamics from the common point of view of orbit theory making use of concepts and techniques from modern geometric mechanics. It starts with elementary Newtonian mechanics and ends with the dynamics of chaotic motions. The book is meant for students in astronomy and physics alike. Prerequisite is a physicist's knowledge of calculus and differential geometry. The first volume begins with classical mechanics and with a thorough treatment of the 2-body problem, including regularization, followed by an introduction to the N-body problem with particular attention given to the virial theorem. Then the authors discuss all important non-perturbative aspects of the 3-body problem. They end with a final chapter on integrability of Hamilton-Jacobi systems and the search for constants of motion.

Synopsis:

This textbook treats Celestial Mechanics as well as Stellar Dynamics from the common point of view of orbit theory making use of the concepts and techniques from modern geometric mechanics. It starts with elementary Newtonian Mechanics and ends with the dynamics of chaotic motions. The book is meant for students in astronomy and physics alike. Prerequisite is a physicist's knowledge of calculus and differential geometry. Volume 1 begins with classical mechanics and a thorough treatment of the 2-body problem, including regularization, followed by an introduction to the N-body problem with particular attention given to the virial theorem. Then the authors discuss all important non-perturbative aspects of the 3-body problem. A final chapter deals with integrability of Hamilton-Jacobi systems.

Table of Contents

v. 1. Integrable systems and non-perturbative methods.

Product Details

ISBN:
9783540589631
Author:
Boccaletti, Dino
Author:
Boccaletti, D.
Author:
Pucacco, Prof. Giuseppe
Author:
Boccaletti, Dino
Author:
Pucacco, G.
Publisher:
Springer
Location:
Berlin, Heidelberg
Subject:
Astronomy
Subject:
Orbits
Subject:
Astronomy - General
Subject:
Celestial mechanics
Subject:
Chaotic motion
Subject:
Stellar dynamics.
Subject:
Three-body problem.
Subject:
Astronomy, Observations and Techniques
Subject:
Statistical Physics, Dynamical Systems and Complexity
Subject:
Extraterrestrial Physics, Space Sciences
Subject:
Geophysics/Geodesy
Subject:
Geophysics/Geodesy This textbook treats celestial mechanics as well as stellar dynamics from the common point of view of orbit theory making use of concepts and techniques from modern geometric mechanics. The book is meant for students in astronomy and ph
Subject:
Physics
Subject:
Language, literature and biography
Subject:
Physics and Astronomy
Subject:
Astrophysics
Subject:
Physical geography
Copyright:
Edition Number:
2
Edition Description:
1st ed. 1996. Corr. 3rd printing
Series:
Astronomy and Astrophysics Library,
Series Volume:
Volume 1: Integrable
Publication Date:
20031008
Binding:
HARDCOVER
Language:
English
Illustrations:
Yes
Pages:
407
Dimensions:
235 x 155 mm 1660 gr

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Related Subjects

Science and Mathematics » Astronomy » General
Science and Mathematics » Biology » Cytology and Cell Biology
Science and Mathematics » Physics » Astrophysics
Science and Mathematics » Physics » General

Theory of Orbits Volume 1 Integrable Systems New Hardcover
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Product details 407 pages Springer-Verlag - English 9783540589631 Reviews:
"Synopsis" by , This textbook treats Celestial Mechanics as well as Stellar Dynamics from the common point of view of orbit theory making use of the concepts and techniques from modern geometric mechanics. It starts with elementary Newtonian Mechanics and ends with the dynamics of chaotic motions. The book is meant for students in astronomy and physics alike. Prerequisite is a physicist's knowledge of calculus and differential geometry. Volume 1 begins with classical mechanics and a thorough treatment of the 2-body problem, including regularization, followed by an introduction to the N-body problem with particular attention given to the virial theorem. Then the authors discuss all important non-perturbative aspects of the 3-body problem. A final chapter deals with integrability of Hamilton-Jacobi systems.
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