The elimination of the 1:2 critical terms of a first order theory of Uranus perturbed by Neptune through Von Zeipel method |
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| Authors: | Osman M Kamel |
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| Institution: | (1) Astronomy Dept., Faculty of Sciences, Cairo University, Giza, Egypt |
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| Abstract: | In this paper we eliminate in a first order U-N theory the 1 : 2 critical terms up to the third degree with respect to eccentricity — inclination in both parts, main and indirect of the U-N planetary Hamiltonian. We operate the Von Zeipel technique. We adopt, in this theory, the Jacobi-Radau coordinates, and the Poincaré canonical variables. We neglect powers higher than the third in the eccentricity-inclination. This paper is related to the two previous articles (Kamel, 1982; 1983). |
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