Chaotic worlds : from order to disorder in gravitational N-body dynamical systems

著者

• Steves, Bonnie A
• Maciejewski, A. J.
• Hendry, M.

書誌事項

Chaotic worlds : from order to disorder in gravitational N-body dynamical systems

edited by B.A. Steves, A.J. Maciejewski and M. Hendry

（NATO science series, Sub-series 2 . Mathematics, physics and chemistry ; v. 227）

Springer, c2006

• : pbk
• : hbk

注記

Proceedings of the NATO Advanced Study Institute on Chaotic worlds : from order to disorder in gravitational N-body dynamical systems, held in Cortina, Italy, 8-20 September 2003

Includes bibliographical references and index

内容説明・目次

内容説明

Based on the recent NATO Advanced Study Institute "Chaotic Worlds: From Order to Disorder in Gravitational N-Body Dynamical Systems", this state of the art textbook, written by internationally renowned experts, provides an invaluable reference volume for all students and researchers in gravitational n-body systems. The contributions are especially designed to give a systematic development from the fundamental mathematics which underpin modern studies of ordered and chaotic behaviour in n-body dynamics to their application to real motion in planetary systems. This volume presents an up-to-date synoptic view of the subject.

目次

• Preface.- Lecturers.- Part I Tools of Order.- Canonical perturbation theory for nearly integrable systems
• A. Giorgilli, U. Locatelli.- Periodic orbits in gravitational systems
• J.D. Hadjedemetriou.- Periodic solutions in gravitational problems and the structure of solution space
• P.J. Message.- General properties of three-body systems with Hill-type stability
• C. Marchal.- Part II Tools for investigation of chaos and its sources.- The fine structure of Hamiltonian systems revealed using The Fast Lyapunov Indicator
• C. Froeschle, E. Lega.- Fourier analysis of chaotic motions and applications to celestial mechanics
• M. Guzzo.- Part III Sources of chaos.- Basics of regularization theory
• A. Celletti.- Order and chaos in satellite encounters
• J. Waldvogel.- Part IV Applications.- Regular motions in extra-solar planetary systems
• S. Ferraz-Mello et al.- Tides on Europe
• R. Greenberg.- Numerical evaluation of love's solution for tidal amplitude
• T.A. Hurford et al.- On the general solutions of Hilbert-Einstein field equations in vacuum
• C. Marchal.- Participants.-

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詳細情報

• NII書誌ID(NCID): BA78406481
• ISBN:
  • 1402047053
  • 1402047045
• 出版国コード: ne
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Dordrecht
• ページ数/冊数: xi, 342 p.
• 大きさ: 25 cm
• 親書誌ID:
  • BA40559140