The elimination of the critical terms of a first order Uranus-Neptune theory through Hori's method. I

Details The elimination of the critical terms of a first order Uranus-Neptune theory through Hori's method. I The elimination of the critical terms of a first order Uranus-Neptune theory through Hori's method. I

Dec 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982m%26p....27..407k&link_type=abstract

Moon and the Planets, vol. 27, Dec. 1982, p. 407-415.

Physics

3

Neptune (Planet), Orbit Perturbation, Perturbation Theory, Planetology, Uranus (Planet), Canonical Forms, Differential Equations, Eccentric Orbits, Poincare Problem

Scientific paper

A method is proposed for the elimination of the 1:2 critical terms of a first order theory of Uranus, under perturbation by Neptune, by means of Hori's (1966) method and in the terms of the Poincare canonical variables after the initial removal of the Uranus-Neptune system's Hamiltonian short period terms. The disturbing function is reduced to the terms of degrees zero, 1, 2, 3, and 4, in the eccentricities and sines of inclinations. Uranus is referred to the sun, and Neptune to the center of mass of the sun and Uranus.

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