Canonical Perturbation Theories Degenerate Systems and Resonance
Canonical Perturbation Theories, Degenerate Systems and Resonance presents the foundations of Hamiltonian Perturbation Theories used in Celestial Mechanics, emphasizing the Lie Series Theory and its application to degenerate systems and resonance. This bo
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ASTROPHYSICS AND SPACE SCIENCE LIBRARY VOLUME 345
EDITORIAL BOARD Chairman W.B. BURTON, National Radio Astronomy Observatory, Charlottesville, Virginia, U.S.A. ([email protected]); University of Leiden, The Netherlands ([email protected]) MEMBERS J.M.E. KUIJPERS, Faculty of Science, Nijmegen, The Netherlands F. BERTOLA, Universitá di Padova, Italy J.P. CASSINELLI, University of Wisconsin, Madison, U.S.A. C.J. CESARSKY, European Southern University, Garching bei München, Germany P. EHRENFREUND, Leiden University, The Netherlands O. ENGVOLD, Institute of Theoretical Astrophysics, University of Oslo, Norway A. HECK, Strassbourg Astronomical Observatory, France V.M. KASPI, McGill University, Montreal, Canada P.G. MURDIN, Institute of Astronomy, Cambridge, U.K. F. PACINI, Istituto Astronomia Arcetri, Firenze, Italy V. RADHAKRISHNAN, Raman Research Institute, Bangalore, India F.H. SHU, University of California, Berkeley, U.S.A. B.V. SOMOV, Astronomical Institute, Moscow State University, Russia R.A. SUNYAEV, Space Research Institute, Moscow, Russia E.P.J. VAN DEN HEUVEL, Astronomical Institute, University of Amsterdam, The Netherlands H. VAN DER LAAN, Astronomical Institute, University of Utrecht, The Netherlands
Canonical Perturbation Theories Degenerate Systems and Resonance Sylvio Ferraz–Mello
Sylvio Ferraz-Mello Instituto de Astronomia, Geofísicae e Ciências Atmosféricas Universidade de São Paulo Rua do Matão, 1226 CEP 05508-900 São Paulo, Brasil [email protected] http://www.astro.iag.usp.br/~sylvio/
Library of Congress Control Number: 2006931783 ISBN-10: 0-387-38900-8 ISBN-13: 978-0-387-38900-4
e-ISBN-13: 978-0-387-38905-9 e-ISBN-10: 0-387-38905-9
Printed on acid-free paper. © 2007 Springer Science+Business Media, LLC All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. 9 8 7 6 5 4 3 2 1 springeronline.com
Preface
Au ´nica maneira de cumprir o trabalho era tˆe-lo como coisa lerda e cont´ınua, mansa, sem come¸co nem fim, as m˜ aos sempre sujas da massa. Jo˜ ao Guimar˜ aes Rosa, Buriti
The story of this book began in the late 1960s, when Prof. Buarque Borges invited me to give a graduate course at the Aeronautics Institute of Technology. The course was to deal with the perturbation theories used in Celestial Mechanics, but they should be presented in a universal way, so as to be understandable by investigators and students from related fields
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