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GeneralizedF andG series and convergence of the power series solution of theN-body problem
Authors:D N Papadakos
Institution:1. University Observatory, St. Andrews, Fife, Scotland
Abstract:The existence of power series, analogous to the familiarf andg series of the two-body problem, is demonstrated in the case of then-body problem, and recursive formulae are deduced for the derivation of the coefficients of these series. In addition a proof of the convergence of the power series solution of then-body problem is given, based on the developed series.
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