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

DOI10.1007/BF01232193zbMath0537.70004OpenAlexW1993426457MaRDI QIDQ3323325

D. N. Papadakos

Publication date: 1983

Published in: Celestial Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01232193

zbMATH Keywords

Taylor series expansionrecursive formulaeexistence of f and g series

Mathematics Subject Classification ID

Two-body problems (70F05) Celestial mechanics (70F15) (n)-body problems (70F10)

Related Items (2)

Numerical integration of the equations of motion of celestial mechanics ⋮ \(F\) and \(G\) Taylor series solutions to the Stark and Kepler problems with Sundman transformations

Cites Work

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• Studies in the application of recurrence relations to special perturbation methods
• Comments on the application of power series solutions to problems in celestial mechanics
• Studies in the application of recurrence relations to special perturbation methods
• Studies in the application of recurrence relations to special perturbation methods
• Studies in the application of recurrence relations to special perturbation methods
• Solution of theN-body problem with recurrent power series
• Practical considerations in the numerical solution of theN-body problem by Taylor series methods

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