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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| Institution: | (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 ofF
1,F
2,F
3 and the critical terms ofF
1,F
2 in terms of the canonical variables of H. Poincaré neglecting powers higher than the second inH, K, P, Q. |
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| Keywords: | |
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