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Second order secular planetary theory for the four major planets
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 generalize our results of a second order Jupiter-Saturn planetary theory to be applicable for the case of the four major planets.We use the Von Zeipel method and we neglect powers higher than the third with respect to the eccentricities and sines of the inclinations in our expansions. We consider the critical terms as the only periodic terms.
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