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Notes on Hori method for non-canonical systems. (English) Zbl 1106.70304

The author discusses computational algorithms for integration of canonical and non-canonical systems. Early it was shown by G. Hori [Publ. Astron. Soc. Japan 23, 567–587 (1971)] (the author of the general perturbations method based on Lie series) that his method previously oriented to canonical systems only, is applicable to non-canonical systems as well. Later W. Sessin [Celestial Mech. 31, 109–113 (1983; Zbl 0563.70010)] has been generalized Hori algorithm. Here Sessin’s general algorithm is revised and simplified for nonlinear oscillation problems.

MSC:

70-08 Computational methods for problems pertaining to mechanics of particles and systems
70F15 Celestial mechanics
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