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Non-canonical perturbations in symplectic integration

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Abstract

The inclusion of non-canonical perturbations in symplectic integration schemes has been discussed. A rigorous derivation of an analog for theWisdom–Holman (1991) method, such that velocity dependent forces can be included, has been outlined. This is done both by using the δfunction formalism and also by means of formal Hamiltonization. Application to the relativistic corrections in Solar System integrations is discussed as an example. Numerical experiments confirm the usefulness of the method.

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

    Seppo Mikkola

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  1. Seppo Mikkola
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Mikkola, S. Non-canonical perturbations in symplectic integration. Celestial Mechanics and Dynamical Astronomy 68, 249–255 (1998). https://doi.org/10.1023/A:1008278821576

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  • DOI: https://doi.org/10.1023/A:1008278821576

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