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Keplerian expansions in terms of Henrard's practical variables
Authors:S?awomir Breiter  Gilles Metris
Institution:(1) Astronomical Observatory of A. Mickiewicz University, Slstrokoneczna 36, PL60-286 Poznanacute, Poland;(2) Observatoire de la Côte d'Azur, Av. Copernic, F06-130 Grasse, France
Abstract:Formulae for the Keplerian expansions in terms of Henrard's ldquopractical variablesrdquo are given. Two different methods were applied: one using the Bessel functions and one based on the Lie transforms. The former involves less series products, but the latter is more flexible and universal.
Keywords:Keplerian expansions  Henrard variables  Lie transforms
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