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Expansion of the disturbing function for high eccentricity and large amplitude of libration
Authors:Tadashi Yokoyama
Institution:(1) Departamento de Estatística Matemática Aplicada e Computacional, Universidade Estadual Paulista, Rio Claro, Brasil
Abstract:Following some ideas, developed by Woltjer (1928), Message (1989), Yokoyama (1988, 1989) and Duriez (1990) an expansion of the disturbing function is given for high values of the eccentricity and large amplitude of libration. The classical expansion can be obtained as a particular case of the present model. Several asteroids with high eccentricity and large amplitude of libration are tested and the results are much better than those obtained from the classical theory.
Keywords:Disturbing function  high eccentricity  libration  resonances  asteroids
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