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Recent Advances in Dynamical Astronomy

Proceedings of the NATO Advanced Study Institute in Dynamical Astronomy Held in Cortina D’Ampezzo, Italy, August 9–21, 1972

  • Conference proceedings
  • © 1973

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Editors:
  1. B. D. Tapley

    1. Department of Aerospace Engineering and Engineering Mechanics, University of Texas at Austin, Austin, USA

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  2. V. Szebehely

    1. Department of Aerospace Engineering and Engineering Mechanics, University of Texas at Austin, Austin, USA

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Astrophysics and Space Science Library (ASSL, volume 39)

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About this book

IX LIST OF PRINCIPAL SPEAKERS XI LIST OF PARTICIPANTS 1. REGULARIZATION E. STIEFEL / A Linear Theory of the Perturbed Two-Body Problem (Regul- ization) 3 J. WALDVOGEL / Collision Singularities in Gravitational Problems 21 D. C. HEGGIE / Regularization Using a Time-Transformation Only 34 J. BAUMGAR TE / Stabilization of the Differential Equations of Keplerian Motion 38 F. NAHON / The Particular Solutions of Levi-Civita 45 O. GODAR T / Example ofIntegration of Strongly Oscillating Systems 53 w. BLACK / The Application of Recurrence Relations to Special Perturbation Methods 61 D. G. BETTIS / Numerical Solution of Ordinary Differential Equations (Abstract) 71 II. THE THREE-BODY PROBLEM V. SZEBEHELY / Recent Advances in the Problem of Three Bodies 75 R. F. ARENSTORF / Periodic Elliptic Motion in the Problem of Three Bodies (Abstract) 107 G. KATSIARIS and c. L. GOUDAS / On a Conjecture by Poincare 109 G. KATSIARIS / The Three-Dimensional Elliptic Problem 118 P. G. KAZANTZIS / Second and Third Order Variations of the Three Dimensional Restricted Problem 135 c. G. ZAGOURAS / Planar Periodic Orbits Using Second and Third Variations 146 E. RABE / Elliptic Restricted Problem: Fourth-Order Stability Analysis of the Triangular Points 156 P. GUILLAUME / A Linear Description of the Second Species Solutions 161 III. THE N-BODY PROBLEM AND STELLAR DYNAMICS G. CONTOPOULOS / Problems of Stellar Dynamics 177 w. T. KYNER / Invariant Manifolds in Celestial Mechanics 192 s. J.

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Table of contents (43 papers)

  1. The Solar System and Orbital Resonances

    1. Change of Inclination in Passing through Resonance

      • R. R. Allan
      Pages 333-348

  3. Back Matter

    Pages 469-470
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Editors and Affiliations

  • Department of Aerospace Engineering and Engineering Mechanics, University of Texas at Austin, Austin, USA

    B. D. Tapley, V. Szebehely

Bibliographic Information

  • Book Title: Recent Advances in Dynamical Astronomy

  • Book Subtitle: Proceedings of the NATO Advanced Study Institute in Dynamical Astronomy Held in Cortina D’Ampezzo, Italy, August 9–21, 1972

  • Editors: B. D. Tapley, V. Szebehely

  • Series Title: Astrophysics and Space Science Library

  • DOI: https://doi.org/10.1007/978-94-010-2611-6

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: D. Reidel Publishing Company, Dordrecht, Holland 1973

  • Hardcover ISBN: 978-90-277-0348-4Published: 30 November 1973

  • Softcover ISBN: 978-94-010-2613-0Published: 13 October 2011

  • eBook ISBN: 978-94-010-2611-6Published: 06 December 2012

  • Series ISSN: 0067-0057

  • Series E-ISSN: 2214-7985

  • Edition Number: 1

  • Number of Pages: XIV, 470

  • Topics: Astronomy, Observations and Techniques

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