Classical Perturbation Theory in Celestial Mechanics. The Equations of Planetary Motion
In this chapter, we mainly aim to give an idea of the infancy and the adolescence of perturbation theory. Keeping in mind the general assumption according to which the whole book is built up, we have tried, as far as possible, to account for the developme
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ASTRONOMY AND ASTROPHYSICS LIBRARY 1. Appenzeller, Heidelberg, Germany G. Borner, Garching, Germany M. Harwit, Washington, DC, USA R. Kippenhahn, Gottingen, Germany J. Lequeux, Paris, France V. Trimble, College Park, MD, and Irvine, CA, USA
Springer-Verlag Berlin Heidelberg GmbH
Physics and Astronomy
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D. Boccaletti G. Pucacco
Theory of Orbits Volume 2: Perturbative and Geometrical Methods
With 81 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 pic/ure: A wide-field view of the colliding galaxies NGC 4038 and NGC 4039, taken by the Hubble Space Telescope, October 21, 1997 (B. Whitmore (St ScI) and NASA), with an insert from a miniature of the XII century God archi/ect of/he cosmos, miniature from "Bible moraIisee", Cod. 2554 f.lv. (Osterr. NationaIbibliothek, Vienna)
Library of Congress Cataloging-in-Publication Data applied for. Die Deutsche Bibliothek - CIP-Einheitsaufnahme Bocca1etti, Dino: Theory of orbits/D. BoccaIetti ; G. Pucacco. (Astronomy and astrophysics Iibrary) VoI 2. Perturbative and geometricaI methods. - Corr. 2. printing. - 2002 ISBN 978-3-642-08222-1 ISBN 978-3-662-09240-8 (eBook) DOI 10.1007/978-3-662-09240-8
First Edition 1999. Corrected Second Printing 2002 ISSN 0941-7834 ISBN 978-3-642-08222-1 This work is subject to copyright. AII rights are reserved, whether the whole or part of the material is concemed, specifically the rights of translation, reprinting, reuse of iIIustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication ofthis 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 Iiable for prosecution under the German Copyright Law. http://www.springer.de
© Springer-Verlag Berlin Heidelberg 1999 Originally published by Springer-Verlag Berlin Heidelberg New York in 1999 Softcover reprint of the hardcover I st edition 1999 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: Ready-to-print version from the authors using a Springer TEX macro package Cover design: design & produc/ion GmbH, Heidelberg
To my wife Maria Grazia for her love and understanding. And to the memory of my father, Aido Boccaletti, my first teacher
To Marinella for her warmth and love
Preface
Half a century ago, S. Chandrasek
