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GeneralizedF andG series and convergence of the power series solution of theN-body problem

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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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Author notes

  1. D. N. Papadakos

    Present address: Department of Applied Mathematic, Queen Mary College, Mile End Road, El 4NS, London

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  1. University Observatory, St. Andrews, Fife, Scotland

    D. N. Papadakos

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  1. D. N. Papadakos
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Papadakos, D.N. GeneralizedF andG series and convergence of the power series solution of theN-body problem. Celestial Mechanics 30, 275–282 (1983). https://doi.org/10.1007/BF01232193

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  • DOI: https://doi.org/10.1007/BF01232193

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