© 1996

Theory of Orbits

Volume 1: Integrable Systems and Non-perturbative Methods


  • First textbook which treats celestial mechanics and stellar dynamics at the same level of presentation

  • Both fields are extremely active for theoretical as well as observational reasons


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

Table of contents

  1. Front Matter
    Pages I-XIV
  2. Dino Boccaletti, Giuseppe Pucacco
    Pages 1-13
  3. Dino Boccaletti, Giuseppe Pucacco
    Pages 15-124
  4. Dino Boccaletti, Giuseppe Pucacco
    Pages 125-175
  5. Dino Boccaletti, Giuseppe Pucacco
    Pages 177-235
  6. Dino Boccaletti, Giuseppe Pucacco
    Pages 237-299
  7. Dino Boccaletti, Giuseppe Pucacco
    Pages 301-362
  8. Back Matter
    Pages 363-393

About this book


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.


Celestial mechanics Chaotic motion Orbits Star Stellar dynamics Three-body problem astronomy stellar

Authors and affiliations

  1. 1.Dipartimento di Matematica “Guido Castelnuovo”Università degli Studi di Roma “La Sapienza”RomaItaly
  2. 2.Dipartimento di FisicaUniversità degli Studi di Roma “Tor Vergata”RomaItaly

Bibliographic information


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