The construction of a seventh-order Jupiter-Saturn analytical theory |
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Authors: | Osman M. Kamel Adel S. Soliman |
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Affiliation: | (1) Astronomy Department, Faculty of Sciences, Cairo University, Giza, Egypt;(2) Theoretical Physics Department, National Research Center, Dokki, Giza, Egypt |
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Abstract: | We extend the construction of the Jupiter-Saturn theory to include all the terms up to the seventh order in the masses. The Hori-Lie transformation technique is employed. The Jacobian coordinates are adopted and the theory is expressed in terms of the canonical non-singular variables of H. Poincaré. |
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