Second order secular planetary theory for the four major planets

Details Second order secular planetary theory for the four major planets Second order secular planetary theory for the four major planets

Oct 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984em%26p...31..123k&link_type=abstract

Earth, Moon, and Planets (ISSN 0167-9295), vol. 31, Oct. 1984, p. 123-134.

Mathematics

3

Celestial Mechanics, Planetology, Secular Variations, Von Zeipel Method, Disturbing Functions, Jupiter (Planet), Perturbation Theory, Saturn (Planet), Series (Mathematics)

Scientific paper

In the present generalization of the Kamel and Bakry (1982) results for a second-order Jupiter-Saturn planetary theory, so that they may be applied to the Jupiter, Saturn, Uranus and Neptune four-planet system, the Von Zeipel method is used. Powers higher than the third with respect to the eccentricities and sines of the inclinations in the present expansions are neglected, and only the critical terms are considered as periodic. Attention is given to second-order secular terms arising from the indirect part of the disturbing function, as well as the secular part arising from the principal part of the disturbing function.

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