Half a century ago, S. Chandrasekhar wrote these words in the preface to his 1 celebrated and successful book: In this monograph an attempt has been made to present the theory of stellar dy namics as a branch of classical dynamics - a discipline in the same general category as celestial mechanics. [ ... ] Indeed, several of the problems of modern stellar dy namical theory are so severely classical that it is difficult to believe that they are not already discussed, for example, in Jacobi's Vorlesungen. Since then, stellar dynamics has developed in several directions and at var ious levels, basically three viewpoints remaining from which to look at the problems encountered in the interpretation of the phenomenology. Roughly speaking, we can say that a stellar system (cluster, galaxy, etc.) can be con sidered from the point of view of celestial mechanics (the N-body problem with N» 1), fluid mechanics (the system is represented by a material con tinuum), or statistical mechanics (one defines a distribution function for the positions and the states of motion of the components of the system).

*"synopsis" may belong to another edition of this title.*

Theory of Orbits 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 motion. The two volumes are meant for students in astronomy and physics alike. Prerequisite is a physicist's knowledge of calculus and differential geometry.

The first three chapters of this second volume are devoted to the theory of perturbations, starting from classical problems and arriving at the KAM theory, and to the introduction of the use of the Lie transform. A whole chapter treats the theory of adiabatic invariants and its applications in celestial mechanics and stellar dynamics. Also the theory of resonances is illustrated and applications in both fields are shown. Classical and modern problems connected to periodic solutions are reviewed. The description of modern developments of the theory of chaos in conservative systems is the subject of a chapter in which an introduction is given to what happens in both near-integrable and non-integrable systems. The invaluable help provided by computers in the exploration of the long-time behaviour of dynamical systems is acknowledged in a final chapter, where some numerical algorithms and their applications both to systems with few degrees of freedom and to large *N*-body systems are illustrated.

**From the reviews **

"The book is ... didactically written and contains topics from classical to most modern ones, treated rigorously by indicating where complete proofs are to be found."*Zentralblatt für Mathematik, 1999*

*"About this title" may belong to another edition of this title.*

US$ 88.13

**Shipping:**
US$ 3.99

Within U.S.A.

Published by
Springer

ISBN 10: 3540603557
ISBN 13: 9783540603559

New
Quantity Available: 1

Seller:

Rating

**Book Description **Springer. Condition: New. pp. 444. Seller Inventory # 26348633

Published by
Springer
(2004)

ISBN 10: 3540603557
ISBN 13: 9783540603559

New
Hardcover
Quantity Available: 1

Seller:

Rating

**Book Description **Springer, 2004. Hardcover. Condition: New. Corrected. Seller Inventory # DADAX3540603557

Published by
Springer

ISBN 10: 3540603557
ISBN 13: 9783540603559

New
Quantity Available: 1

Seller:

Rating

**Book Description **Springer. Condition: New. pp. 444 52:B&W 6.14 x 9.21in or 234 x 156mm (Royal 8vo) Case Laminate on White w/Gloss Lam. Seller Inventory # 7532038

Published by
Springer
(2017)

ISBN 10: 3540603557
ISBN 13: 9783540603559

New
Paperback
Quantity Available: 10

Seller:

Rating

**Book Description **Springer, 2017. Paperback. Condition: New. PRINT ON DEMAND Book; New; Publication Year 2017; Not Signed; Fast Shipping from the UK. No. book. Seller Inventory # ria9783540603559_lsuk

Published by
Springer Berlin Heidelberg Aug 2002
(2002)

ISBN 10: 3540603557
ISBN 13: 9783540603559

New
Quantity Available: 1

Seller:

Rating

**Book Description **Springer Berlin Heidelberg Aug 2002, 2002. Buch. Condition: Neu. Neuware - Half a century ago, S. Chandrasekhar wrote these words in the preface to his 1 celebrated and successful book: In this monograph an attempt has been made to present the theory of stellar dy namics as a branch of classical dynamics - a discipline in the same general category as celestial mechanics. [ . ] Indeed, several of the problems of modern stellar dy namical theory are so severely classical that it is difficult to believe that they are not already discussed, for example, in Jacobi's Vorlesungen. Since then, stellar dynamics has developed in several directions and at var ious levels, basically three viewpoints remaining from which to look at the problems encountered in the interpretation of the phenomenology. Roughly speaking, we can say that a stellar system (cluster, galaxy, etc.) can be con sidered from the point of view of celestial mechanics (the N-body problem with N' 1), fluid mechanics (the system is represented by a material con tinuum), or statistical mechanics (one defines a distribution function for the positions and the states of motion of the components of the system). 440 pp. Englisch. Seller Inventory # 9783540603559

Published by
Springer

ISBN 10: 3540603557
ISBN 13: 9783540603559

New
Hardcover
Quantity Available: > 20

Seller:

Rating

**Book Description **Springer. Hardcover. Condition: New. 3540603557 Special order direct from the distributor. Seller Inventory # ING9783540603559

Published by
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Germany
(2002)

ISBN 10: 3540603557
ISBN 13: 9783540603559

New
Hardcover
Quantity Available: 1

Seller:

Rating

**Book Description **Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Germany, 2002. Hardback. Condition: New. 1st ed. 1999. Corr. 2nd printing 2002. Language: English. Brand new Book. Half a century ago, S. Chandrasekhar wrote these words in the preface to his 1 celebrated and successful book: In this monograph an attempt has been made to present the theory of stellar dy- namics as a branch of classical dynamics - a discipline in the same general category as celestial mechanics. [ . ] Indeed, several of the problems of modern stellar dy- namical theory are so severely classical that it is difficult to believe that they are not already discussed, for example, in Jacobi's Vorlesungen. Since then, stellar dynamics has developed in several directions and at var- ious levels, basically three viewpoints remaining from which to look at the problems encountered in the interpretation of the phenomenology. Roughly speaking, we can say that a stellar system (cluster, galaxy, etc.) can be con- sidered from the point of view of celestial mechanics (the N-body problem with N" 1), fluid mechanics (the system is represented by a material con- tinuum), or statistical mechanics (one defines a distribution function for the positions and the states of motion of the components of the system). Seller Inventory # LIB9783540603559

Published by
Springer
(2004)

ISBN 10: 3540603557
ISBN 13: 9783540603559

New
Hardcover
Quantity Available: 1

Seller:

Rating

**Book Description **Springer, 2004. Hardcover. Condition: New. Corrected. Ships with Tracking Number! INTERNATIONAL WORLDWIDE Shipping available. Buy with confidence, excellent customer service!. Seller Inventory # 3540603557n