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Astron. Astrophys. 329, 339-349 (1998)

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The high-eccentricity asymmetric expansion
of the disturbing function for non-planar resonant problems

F. Roig 1, A. Simula 1, S. Ferraz-Mello 1 and M. Tsuchida 2

1 Instituto Astronômico e Geofísico. Universidade de São Paulo Av. Miguel Stéfano 4200, São Paulo, SP, Brasil
2 Inst. de Biociências, Letras e Ciências Exatas. Universidade Estadual Paulista São José do Rio Preto, SP, Brasil

Received 21 May 1997 / Accepted 22 August 1997

Abstract

In this paper we present an extension to the non-planar case of the asymmetric expansion of the averaged resonant disturbing function of Ferraz-Mello & Sato (1989, A&A 225, 541-547). Comparions with the exact averaged disturbing function are also presented. The expansion gives a good approximation of the exact function in a wide region around the center of expansion.

Key words: celestial mechanics – solar system: general – methods: analytical

Send offprint requests to: F. Roig

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© European Southern Observatory (ESO) 1998

Online publication: November 24, 1997
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