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Third order uranus-neptune planetary theory
Authors:Osman M Kamel  Abdel Aziz Bakry
Institution:(1) Astronomy Dept., Faculty of Sciences, Cairo University, Giza, Egypt;(2) Astronomy Dept., Faculty of Sciences, King Abdel Aziz University, Jeddah, Saudi Arabia
Abstract:We calculate in this paper 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. We truncate our expansions at the second degree of eccentricity-inclination. Our planetary theory is expressed in terms of the canonical variables of H. Poincaré.
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