GeneralizedF andG series and convergence of the power series solution of theN-body problem |
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Authors: | D N Papadakos |
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Institution: | 1. University Observatory, St. Andrews, Fife, Scotland
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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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