An elimination of the critical terms of a first-order Uranus-Neptune theory by Hori's method. III

Details An elimination of the critical terms of a first-order Uranus-Neptune theory by Hori's method. III An elimination of the critical terms of a first-order Uranus-Neptune theory by Hori's method. III

Nov 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992em%26p...59..111k&link_type=abstract

Earth, Moon, and Planets (ISSN 0167-9295), vol. 59, no. 2, p. 111-140.

Computer Science

Neptune (Planet), Orbital Mechanics, Solar System, Uranus (Planet), Differential Equations, Poincare Problem

Scientific paper

We eliminate the 1:2 critical terms - after a previous elimination of the short period terms - in the Hamiltonian of a first order U-N theory. We take into account terms of degree 0, 1, 2, 3, 4 in the eccentricity-inclination. We apply for this elimination the Hori-Lie technique through the Poincare canonical variables and the Jacobi coordinates. The purely principal first order secular U-N Hamiltonian admits a complete solution. We obtained the U-N equations of motion generated by the principal first order long period U-N Hamiltonian.

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