Dino Boccaletti, Giuseppe Pucacco

Theory of Orbits (eBook, PDF)

Volume 1: Integrable Systems and Non-perturbative Methods

• Format: PDF

Produktbeschreibung

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 physics with a knowledge of calculus and differential geometry.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 392
• Erscheinungstermin: 9. März 2013
• Englisch
• ISBN-13: 9783662033197
• Artikelnr.: 53391791

Autorenporträt

Dino Boccaletti, Universita degli Studi di Roma "La Sapienza", Rome, Italy / Prof. Giuseppe Pucacco, Universita degli Studi di Roma "Tor Vergata", Rome, Italy

Inhaltsangabe

- The Theory of Orbits from Epicycles to "Chaos".- 1. Dynamics and Dynamical Systems - Quod Satis.- 2. The Two-Body Problem.- 3. The N-Body Problem.- 4. The Three-Body Problem.- 5. Orbits in Given Potentials.- Mathematical Appendix.- A.1 Spherical Trigonometry.- A.2 Curvilinear Coordinate Systems.- A.3 Riemannian Geometry.- Bibliographical Notes.- Name Index.

Rezensionen

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