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Dynamics of Natural and Artificial Celestial Bodies pp 263–264Cite as

A Mapping Model for the Coorbital Problem

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Abstract

In this work we developed a symplectic mapping to study the phase space structure of the coorbital region in the restricted three-body problem (RTBP). This was constructed using the method suggested by Hadjidemetriou (1991), in which the averaged Hamiltonian is the generating function of the mapping. Although this mapping technique has been applied widely for several cases of different mean motion resonances, no application has ever been done for the 1: 1 resonance, which is the main feature of the coorbital dynamics. However, the 1: 1 resonance is an outstanding problem (see Érdi (1997) for a recent overview) and it deserves continuous attention.

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References

  • Brown, E. W. and Shook, C. A.: 1933, Planetary Theory,Cambridge University Press

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  • Érdi, B.: 1997, Cel. Mech. and Dyn. Astron. 65, 149–164.

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  • Hadjidemetriou, J. D.: 1991, in A. E. Roy (ed.) Predictability, Stability, and Chaos in Ar-Body Dynamical Systems, Plenum Press, New York, pp. 157–175.

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Author information

Authors and Affiliations

  1. Konkoly Observatory of the Hungarian, Academy of Sciences H-1525 Budapest, P.O. Box 67, Hungary, Germany

    Zsolt Sándor

  2. Queen Mary and Westfield College, Astronomy Unit, Mile End Road, London, El 4NS, UK

    Maria Helena Morais

Authors
  1. Zsolt Sándor
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  2. Maria Helena Morais
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Editor information

Editors and Affiliations

  1. Astronomical Observatory, A. Mickiewicz University, ul. Słoneczna 36, 60-286, Poznań, Poland

    Halina Pretka-Ziomek  & Edwin Wnuk  & 

  2. Department of Astronomy, University of Virginia, Univ Station, Box 3818, 22903-0818, Charlottesville, VA, USA

    P. Kenneth Seidelmann

  3. Dept. of Aerospace Engineering, University of Cincinnati, 45221-007, Cincinnati, OH, USA

    David L. Richardson

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© 2001 Springer Science+Business Media Dordrecht

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Sándor, Z., Morais, M.H. (2001). A Mapping Model for the Coorbital Problem. In: Pretka-Ziomek, H., Wnuk, E., Seidelmann, P.K., Richardson, D.L. (eds) Dynamics of Natural and Artificial Celestial Bodies. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1327-6_36

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  • DOI: https://doi.org/10.1007/978-94-017-1327-6_36

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5865-2

  • Online ISBN: 978-94-017-1327-6

  • eBook Packages: Springer Book Archive

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