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Symplectic Tangent map for Planetary Motions

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Abstract

Equations are presented for the computation of tangent maps for use in nearly Keplerian motion, approximated by use of a symplectic leapfrog map. The resulting algorithms constitute more accurate and efficient methods to obtain the Liapunov exponents and the state transition matrix, and can be used to study chaos in planetary motions, as well as in orbit determination procedures from observations. Applications include planetary systems, satellite motions and hierarchical, nearly Keplerian systems in general.

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Authors and Affiliations

  1. Turku University Observatory, Tuorla, 21500, Piikkiö, Finland

    Seppo Mikkola

  2. Department of Physics and Astronomy, York University, 4700, Keele Street, Toronto, Ontario, Canada, M3J 1P3

    Kimmo Innanen

Authors
  1. Seppo Mikkola
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  2. Kimmo Innanen
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Mikkola, S., Innanen, K. Symplectic Tangent map for Planetary Motions. Celestial Mechanics and Dynamical Astronomy 74, 59–67 (1999). https://doi.org/10.1023/A:1008312912468

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  • DOI: https://doi.org/10.1023/A:1008312912468

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