Generalized F and G series and convergence of the power series solution of the n-body problem

Details Generalized F and G series and convergence of the power series solution of the n-body problem Generalized F and G series and convergence of the power series solution of the n-body problem

Jul 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983cemec..30..275p&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 30, July 1983, p. 275-282. Research supported by the University of St. Andrews.

Physics

1

Celestial Mechanics, Convergence, Many Body Problem, Power Series, Equations Of Motion, Numerical Integration, Recursive Functions, Series Expansion, Taylor Series

Scientific paper

The existence of power series, analogous to the familiar f and g series of the two-body problem, is demonstrated in the case of the n-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 the n-body problem is given, based on the developed series.

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