A second-order Uranus-Neptune theory by Hori's method

Details A second-order Uranus-Neptune theory by Hori's method A second-order Uranus-Neptune theory by Hori's method

Feb 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988em%26p...40..119k&link_type=abstract

Earth, Moon, and Planets (ISSN 0167-9295), vol. 40, p. 119-147.

Physics

4

Canonical Forms, Neptune (Planet), Perturbation Theory, Planetary Mass, Planetology, Uranus (Planet), Equations Of Motion, Hamiltonian Functions, Lie Groups, Poincare Problem

Scientific paper

The perturbation theory of Hori-Lie (Hori, 1966) is used to establish a second order Uranus-Neptune canonical planetary theory. Elliptic expansions are performed taking into account the 0, 1, and 2 powers of the eccentricity-inclination. The present analysis only includes the principal part of the planetary Hamiltonian. The canonical variables of Poincare are adopted to avoid the appearance of small divisors in the partial derivatives of the determining function with respect to the linear variables. Only Uranus-Neptune critical terms are taken as the periodic terms.

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