Theory of Orbits Volume 1: Integrable Systems and Non-perturbative M

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 dynam

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ASTRONOMY AND ASTROPHYSICS LIBRARY I. Appenzeller, Heidelberg, Germany G. Borner, Garching, Germany A. Burkert, Miinchen, Germany M. A. Dopita, Canberra, Australia T. Encrenaz, Meudon, France M. Harwit, Washington, DC, USA R. Kippenhahn, Gottingen, Germany 1. Lequeux, Paris, France A. Maeder, Sauverny, Switzerland V. Trimble, College Park, MD, and Irvine, CA, USA

Springer-Verlag Berlin Heidelberg GmbH

Physics and Astronomy

ONLINE LIBRARY

http://www.springer.de

D. Boccaletti G. Pucacco

Theory of Orbits Volume 1: Integrable Systems and Non-perturbative Methods

With 71 Figures

Springer

Dino Boccaletti Universita degli Studi di Roma "La Sapienza" Dipartimento di Matematica "Guido Castelnuovo" Piazzale Aldo Moro, 2, 00185 Roma, Italy e-mail: [email protected]

Giuseppe Pucacco Universita degli Studi di Roma "Tor Vergata" Dipartimento di Fisica Via della Ricerca Scientifica, 1,00133 Roma, Italy e-mail: [email protected]

Cover picture: A wide-field view of the Carina region in the Southern Sky, kindly supplied by ESO (European Southern Observatory), with an insert from a miniature of the XII century God architect of the cosmos, miniature from "Bible moralisee", Cod. 2554 f. Iv (Osterreichische Nationalbibliothek, Vienna)

Cataloging-in-Publication Data applied for. A catalog record for this book is available from the Library of Congress. Bibliographic information published by Die Deutsche Bibliothek Die Deutsche Bibliothek lists this publication in the Deutsche Nationalbibliografie; detailed bibliographic data is available in the Internet at http://dnb.ddb.de

Corrected Third Printing 2004 ISSN 0941-7834 ISBN 978-3-642-08210-8 DOI 10.1007/978-3-662-03319-7

ISBN 978-3-662-03319-7 (eBook)

This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer-Verlag Berlin Heidelberg GmbH. Violations are liable for prosecution under the German Copyright Law. http://www.springer.de

© Springer-Verlag Berlin Heidelberg 1996 Originally published by Springer-Verlag Berlin Heidelberg New York in 1996 Softcover reprint of the hardcover I st edition 1996 The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Typesetting: Data conversion Frank Herweg, Cover design: design & production GmbH, Heidelberg Printed on acid-free paper

SPIN 10955321

55/3141lba - 5 432 I 0

Preface to the Corrected Third Printing

As a third edition of this book has been called for, we ha