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  • Textbook
  • © 1999

Theory of Orbits

Perturbative and Geometrical Methods

  • Whilst the first volume treats the classical theory, this second one is the first book on stellar dynamics that presents modern chaos dynamics and its applications to astronomical problems to the students
  • Includes supplementary material: sn.pub/extras

Part of the book series: Astronomy and Astrophysics Library (AAL)

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Table of contents (7 chapters)

  1. Front Matter

    Pages I-XV
  2. Canonical Perturbation Theory

    • Dino Boccaletti, Giuseppe Pucacco
    Pages 69-123
  3. Lie Transform Perturbation Theory

    • Dino Boccaletti, Giuseppe Pucacco
    Pages 125-178
  4. The Theory of Adiabatic Invariants

    • Dino Boccaletti, Giuseppe Pucacco
    Pages 179-233
  5. Periodic Orbits and Resonances

    • Dino Boccaletti, Giuseppe Pucacco
    Pages 235-295
  6. Chaos

    • Dino Boccaletti, Giuseppe Pucacco
    Pages 297-354
  7. Numerical Experiments

    • Dino Boccaletti, Giuseppe Pucacco
    Pages 355-397
  8. Back Matter

    Pages 399-423

About this 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).

Reviews

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

Authors and Affiliations

  • Dipartimento di Matematica “Guido Castelnuovo”, Università degli Studi di Roma “La Sapienza”, Roma, Italy

    Dino Boccaletti

  • Dipartimento di Fisica, Università degli Studi di Roma “Tor Vergata”, Roma, Italy

    Giuseppe Pucacco

Bibliographic Information

Buy it now

Buying options

eBook USD 89.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 119.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access