Symplectic Tangent map for Planetary Motions |
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Authors: | Seppo Mikkola Kimmo Innanen |
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Affiliation: | 1. Turku University Observatory, Tuorla, 21500, Piikki?, Finland 2. Department of Physics and Astronomy, York University, 4700, Keele Street, Toronto, Ontario, Canada, M3J 1P3
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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. This revised version was published online in July 2006 with corrections to the Cover Date. |
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Keywords: | planetary systems Liapunov exponents chaos symplectic integration |
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