The construction of a third-order secular analytical J-S-U-N theory by the Hori-Lie technique |
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| Authors: | Abdel Aziz Bakry Osman M. Kamel Salwa M. Waziry |
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| Affiliation: | (1) Institute of Astronomy and Geophysics, Helwan, Cairo, Egypt;(2) Astronomy Dept., Faculty of Sciences, Cairo University, Giza, Egypt;(3) Institute of Astronomy and Geophysics, Helwan, Cairo, Egypt |
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| Abstract: | We expand both parts, the principal and indirect, of the Hamiltonian function up to the third order in the masses for the four major planets Jupiter-Saturn-Uranus-Neptune. Accordingly we write down the secular terms ofF1,F2,F3 and the critical terms ofF1,F2 in terms of the canonical variables of H. Poincaré neglecting powers higher than the second inH, K, P, Q. |
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