A Comparison of the Dynamical Evolution of Planetary Systems Proceed
The papers in this volume cover a wide range of subjects covering the most recent developments in Celestial Mechanics from the theoretical point of nonlinear dynamical systems to the application to real problems. We emphasize the papers on the formation o
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A Comparison of the Dynamical Evolution of Planetary Systems Proceedings of the Sixth Alexander von Humboldt Colloquium on Celestial Mechanics Bad Hofgastein (Austria), 21–27 March 2004
Edited by Rudolf Dvorak and Sylvio Ferraz-Mello
Reprinted from Celestial Mechanics and Dynamical Astronomy, Volume 92(1–3), 2005
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A C.I.P. catalogue record for this book is available from the Library of Congress
ISBN 1-4020-4218-3 Published by Springer, P.O. Box 17, 3300 AA Dordrecht, The Netherlands Sold and distributed in North, Central and South America By Springer, 101 Philip Drive, Norwell, MA 02061, USA In all other countries, sold and distributed By Springer, P.O. Box 322, 3300 AH Dordrecht, The Netherlands
Printed on acid-free paper
All Rights Reserved 2005 Springer No part of the material protected by this copyright notice may be reproduced or utilized in any form or by any means, electric or mechanical, including photocopying, recording or by any information storage and retrieval system, without written permission from the copyright owner. Printed in the Netherlands
Cover photograph: Alexander von Humboldt und Aime´ Bonpland in der Urwaldhu¨tte (Alexander von Humboldt and Aime´ Bonpland in the Forest Cottage). Picture by: Eduard Ender, ca. 1850. Supplied courtesy: Berlin-Brandenburgische Akademie der Wissenschaften, Berlin, Germany.
TABLE OF CONTENTS
ANDREA MILANI and ZORAN KNEZˇEVIC´ / From Astrometry to Celestial Mechanics: Orbit Determination with Very Short Arcs
1–18
RUDOLF DVORAK and RICHARD SCHWARZ / On the stability regions of the Trojan asteroids
19–28
CHRISTOS EFTHYMIOPOULOS / Formal Integrals and Nekhoroshev Stability in a Mapping Model for the Trojan Asteroids
29–52
P. ROBUTEL, F. GABERN and A. JORBA / The Observed Trojans and the Global Dynamics Around the Lagrangian Points of the Sun–Jupiter System
53–69
KLEOMENIS TSIGANIS, HARRY VARVOGLIS and RUDOLF DVORAK / Chaotic Diffusion and Effective Stability of Jupiter Trojans
71–87
O. MILONI, S. FERRAZ-MELLO and C. BEAUGE´ / Analytical Proper Elements for the Hilda Asteroids I: Construction of a Formal Solutions
89–111
BA´LINT E´RDI and ZSOLT SA´NDOR / Stability of Co-orbital Motion in Exoplanetary Systems
113–121
C. MARCHAL / The General Solution of the Planar Laplace Problem
123–134
DIONYSSIA PSYCHOYOS and JOHN D. HADJIDEMETRIOU / Dynamics of 2/1 Resonant Extrasolar Systems Application to HD82943 and GLIESE876
135–156
C. KALAPOTHARAKOS and N. VOGLIS / Global Dynamics in SelfConsistent Models of Elliptical Galaxies
157–188
G. CONTOPOULOS and M. HARSOULA / Chaotic Motions in the Field of Two Fixed Black Holes
189–217
J. E. HOWARD / Discrete Virial Theorem
219–241
CLAUDE FROESCHLE´, MASSIMILIANO GUZZO and ELENA LEGA / Local and Global Diffusion Along Resonant Lines in Discrete Quasi-Integrable Dynamical Systems
243–255
YI-SUI SUN, LI-YONG ZHOU and JI-LIN ZHOU / The Role of Hyperbolic Invariant Sets in Stickiness Effects
257–272
H. LAMMER, YU. N. KULIKOV, T. PENZ, M. LEITNER, H. K. BIERNAT and N. V. ERKAEV / Stellar-Planetary
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