A second order Jupiter-Saturn planetary theory |
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| Authors: | Osman M. Kamel Abdel Aziz Bakry |
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| Affiliation: | (1) Astronomy Dept., Faculty of Sciences, Cairo University, Giza, Egypt;(2) Astronomy Dept., Faculty of Sciences, King Abdel Aziz University, Jeddah, Saudi Arabia |
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| Abstract: | We present a second order secular Jupiter-Saturn planetary theory through Poincaré canonical variables, von Zeipel's method and Jacobi-Radau referential. We neglect in our expansions terms of power higher than the fourth with respect to eccentricities and sines of inclinations. We assume that the disturbing function is composed of secular and critical terms only. We shall deriveF2si and writeF2s in terms of Poincaré canonical variables in Part II of this problem. |
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