Third-order Uranus-Neptune theory by Hori's method

Details Third-order Uranus-Neptune theory by Hori's method Third-order Uranus-Neptune theory by Hori's method

May 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989em%26p...45..127k&link_type=abstract

Earth, Moon, and Planets (ISSN 0167-9295), vol. 45, May 1989, p. 127-137.

Physics

2

Neptune (Planet), Perturbation Theory, Planetology, Uranus (Planet), Canonical Forms, Differential Equations, Equations Of Motion, Secular Variations

Scientific paper

A U-N secular canonical planetary theory of the third order with respect to planetary masses is constructed. The Hori-Lie procedure is adopted to solve the problem. Expansions have been carried out by hand, neglecting powers higher than the second with respect to the eccentricity-inclination. The principal as well as the indirect part of the planetary disturbing function is taken into account. The theory is expressed in terms of the Poincare canonical variables, referring to the Jacobi-Radau set of origins. It is assumed that the 1:2 U-N critical terms and its multiples are the only periodic terms.

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