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The convergence domain of the Laplacian expansion of the disturbing function
Authors:S. Ferraz-Mello
Affiliation:(1) Instituto Astronômico e Geofísico, Universidade de São Paulo, Caixa Postal 9638, São Paulo, SP, Brasil
Abstract:A computer-assisted reformulation of Sundman's determination of the the domain of absolute convergence of the Laplacian expansion fo the disturbing function is given. Sundman's results are extended to the cases of librating perihelions and a convergence criterion is established for the case of mutually inclined orbits.
Keywords:Convergence criteria  Sundman's criterion  disturbing function
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