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Celestial Mechanics and Dynamical Astronomy

, Volume 58, Issue 1, pp 37–52 | Cite as

The convergence domain of the Laplacian expansion of the disturbing function

  • S. Ferraz-Mello
Article

Abstract

A computer-assisted reformulation of Sundman's determination of the the domain of absolute convergence of the Laplacian expansion fo the disturbing function is given. Sundman's results are extended to the cases of librating perihelions and a convergence criterion is established for the case of mutually inclined orbits.

Key words

Convergence criteria Sundman's criterion disturbing function 

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Copyright information

© Kluwer Academic Publishers 1994

Authors and Affiliations

  • S. Ferraz-Mello
    • 1
  1. 1.Instituto Astronômico e GeofísicoUniversidade de São PauloSão Paulo, SPBrasil

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