Third order Uranus-Neptune planetary theory

Details Third order Uranus-Neptune planetary theory Third order Uranus-Neptune planetary theory

Mar 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988em%26p...40..227k&link_type=abstract

Earth, Moon, and Planets (ISSN 0167-9295), vol. 40, March 1988, p. 227-293.

Physics

2

Hamiltonian Functions, Neptune (Planet), Orbit Calculation, Planetology, Secular Variations, Uranus (Planet), Canonical Forms, Orbital Mechanics, Solar Orbits

Scientific paper

The authors calculate the secular and critical terms arising from the principal part of the classical planetary Hamiltonian. This is the first step to establish a third order canonical planetary theory of Uranus-Neptune through the Hori-Lie technique. The authors truncate their expansions at the second degree of eccentricity-inclination. Their planetary theory is expressed in terms of the canonical variables of H. Poincaré.

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