Non-canonical perturbations in symplectic integration

Details Non-canonical perturbations in symplectic integration Non-canonical perturbations in symplectic integration

Jul 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997cemda..68..249m&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 68, Issue 3, pp.249-255

Astronomy and Astrophysics

Astronomy

14

Symplectic Integration, Relativistic Terms, Drag Forces

Scientific paper

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

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