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Modern Celestial Mechanics: From Theory to Applications

Proceedings of the Third Meeting on Celestical Mechanics — CELMEC III, held in Rome, Italy, 18–22 June, 2001

  • Conference proceedings
  • © 2002

Overview

Editors:
  1. Alessandra Celletti

    1. Dipartimento di Matematica, Università di Roma “Tor Vergata”, Italy

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  2. Sylvio Ferraz-Mello

    1. Instituto de Astronomia, Geofísica e Ciências Atmosféricas, Universidade de São Paulo, Brazil

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  3. Jacques Henrard

    1. Département de Mathématique, FNDP, Namur, Belgium

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Table of contents (45 papers)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Space Dynamics and Applications

    1. GOCE: The Earth Gravity Field by Space Gradiometry

      • Alberta Albertella, Federica Migliaccio, Fernando Sansó
      Pages 1-15

    2. Symmetries and Rank Deficiency in the Orbit Determination around Another Planet

      • Claudio Bonanno, Andrea Milani
      Pages 17-33

    3. The Rotation of Europa

      • Richard Greenberg, Gregory V. Hoppa, Paul Geissler, Alyssa Sarid, B. R. Tufts
      Pages 35-47

    4. Resonant Fly-by Missions to near Earth Asteroids

      • Ettore Perozzi, Lorenzo Casalino, Guido Colasurdo, Alessandro Rossi, Giovanni B. Valsecchi
      Pages 49-62

    5. Analysis of the Space Debris Impacts Risk on the International Space Station

      • G. B. Valsecchi, A. Rossi
      Pages 63-76

  3. Solar and Extrasolar Systems

    1. On the Stability of the Terrestrial Planets as Models for Exosolar Planetary Systems

      • R. Dvorak, Á. Süli
      Pages 77-95

    2. Generalized Averaging Principle and the Secular Evolution of Planet Crossing Orbits

      • Giovanni Federico Gronchi
      Pages 97-120

    3. Probing the Nekhoroshev Stability of Asteroids

      • Massimiliano Guzzo, Zoran Knežević, Andrea Milani
      Pages 121-140

    4. Resonant Periodic Motion and the Stability of Extrasolar Planetary Systems

      • John D. Hadjidemetriou
      Pages 141-154

    5. Stability in the Full Two-Body Problem

      • D. J. Scheeres
      Pages 155-169

  4. Chaos and Order

    1. Geometry of Chaos in Models of Stellar Dynamics

      • Guido Ciraolo, Marco Pettini
      Pages 171-190

    2. Order and Chaos in Self-Consistent Galactic Models

      • G. Contopoulos, N. Voglis, C. Kalapotharakos
      Pages 191-204

    3. On the Relationship between Fast Lyapunov Indicator and Periodic Orbits for Continuous Flows

      • Marc Fouchard, Elena Lega, Christiane Froeschlé, Claude Froeschlé
      Pages 205-222

  5. Periodic Orbits and Resonance

    1. Effective Hamiltonian for the D’Alembert Planetary Model near a Spin/Orbit Resonance

      • Luca Biasco, Luigi Chierchia
      Pages 223-237

    2. A Systematic Study of the Stability of Symmetric Periodic Orbits in the Planar, Circular, Restricted Three-Body Problem

      • Alessandra Celletti, Andrea Chessa, John Hadjidemetriou, Giovanni Battista Valsecchi
      Pages 239-255

    3. Estimate of the Transition Value of Librational Invariant Curves

      • Alessandra Celletti, Gabriella Della Penna, Claude Froeschlé
      Pages 257-274

    4. Ideal Resonance Problem: The Post-Post-Pendulum Approximation

      • S. Ferraz-Mello
      Pages 275-289

    5. The Web of Periodic Orbits at L 4

      • Jacques Henrard
      Pages 291-302
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Keywords

About this book

At the opening of the "Third Meeting on Celestial Mechanics - CELMEC III", strong sensations hit our minds. The conference (18-22 June 2001) was being held in Villa Mondragone, a beautiful complex of buildings and gardens located within the township of Monte Porzio Catone, on the hills surrounding Rome. A former papal residence, the building has been recently restored by the University of Rome "Tor Vergata" to host academic activities and events. The conference room is called "Salone degli Svizzeri": here, Gregory XIII, on February 24, 1582, gave its sanction to the reform of the Julian calendar and declared officially in use the calendar still adopted nowadays. The magnificent high walls and tall ceiling strongly resounded, giving to our voice a peculiar Vatican sound, which took us by surprise. May be - we thought - a distant echo of the very words of Gregory XIII proclaiming the modem calendar was still haunting the room. Around us, in the audience, many countries were represented, thus indicating that the idea of putting together the three "souls" of modem Celestial Mechanics - perturbation theories, solar and stellar system studies, spaceflight dynamic- had been successful. CELMEC III is in fact the latest of a series of meetings (the first two editions took place in 1993 and 1997 in L' Aquila, Italy) whose aim is to establish a common ground among people working in Celestial Mechanics, yet belonging to different institutions such as universities, astronomical observatories, research institutes, space agencies and industries.

Editors and Affiliations

  • Dipartimento di Matematica, Università di Roma “Tor Vergata”, Italy

    Alessandra Celletti

  • Instituto de Astronomia, Geofísica e Ciências Atmosféricas, Universidade de São Paulo, Brazil

    Sylvio Ferraz-Mello

  • Département de Mathématique, FNDP, Namur, Belgium

    Jacques Henrard

Bibliographic Information

  • Book Title: Modern Celestial Mechanics: From Theory to Applications

  • Book Subtitle: Proceedings of the Third Meeting on Celestical Mechanics — CELMEC III, held in Rome, Italy, 18–22 June, 2001

  • Editors: Alessandra Celletti, Sylvio Ferraz-Mello, Jacques Henrard

  • DOI: https://doi.org/10.1007/978-94-017-2304-6

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 2002

  • Hardcover ISBN: 978-1-4020-0762-0Published: 30 November 2002

  • Softcover ISBN: 978-90-481-6078-5Published: 08 December 2010

  • eBook ISBN: 978-94-017-2304-6Published: 29 June 2013

  • Edition Number: 1

  • Number of Pages: X, 476

  • Additional Information: Reprinted from CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY, 83/1-4

  • Topics: Astronomy, Observations and Techniques, Applications of Mathematics, Planetology, Automotive Engineering

  • Industry Sectors: Aerospace, Electronics

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