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Mapping and Dynamical Systems

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Book cover The Dynamical Behaviour of our Planetary System

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Abstract

This paper reviews various mapping techniques used in dynamical astronomy. It is mostly dealing with symplectic mappings. It is shown that used mappings can be usually interpreted as symplectic integrators. It is not necessary to introduce any 8 functions it is just sufficient to split Hamiltonian into integrable parts. Actually it may be shown that exact mapping with δ function in the Hamiltonian may be non-symplectic. The application to the study of asteroid belt is emphasised but the possible use of mapping in planetary evolution studies, cometary and other problems is shortly discussed.

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Author information

Authors and Affiliations

  1. Astronomical Institute of the Academy of Sciences of the Czech Republic, Boční II 1401, 141 31, Praha 4, Czech Republic

    Miloš Šidlichovský

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  1. Miloš Šidlichovský
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Editor information

Editors and Affiliations

  1. Institut für Astronomie, Universitätssternwarte, Vienna, Austria

    R. Dvorak

  2. Département de Mathématique, FNDP, Namur, Belgium

    J. Henrard

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© 1997 Springer Science+Business Media Dordrecht

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Šidlichovský, M. (1997). Mapping and Dynamical Systems. In: Dvorak, R., Henrard, J. (eds) The Dynamical Behaviour of our Planetary System. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5510-6_5

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  • DOI: https://doi.org/10.1007/978-94-011-5510-6_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6320-3

  • Online ISBN: 978-94-011-5510-6

  • eBook Packages: Springer Book Archive

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