Abstract
The theory of perturbation based on Lie transforms is considered. Deprit's equation is reduced to a form which enables us to generate simplified general recursion formulae. These expansions are then modified to speed up the implementation of such perturbation theory in the computerized symbolic manipulation.
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Kamel, A.A. Expansion formulae in canonical transformations depending on a small parameter. Celestial Mechanics 1, 190–199 (1969). https://doi.org/10.1007/BF01228838
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DOI: https://doi.org/10.1007/BF01228838