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Expression of the initial Poincaré canonical variables as functions of the new in a ninth order J-S theory
Authors:Osman M Kamel  Adel S Soliman
Institution:(1) Astronomy Dept., Faculty of Sciences, Cairo University, Giza, Egypt;(2) Theoretical Physics Dept., National Research Center, Dokki, Giza, Egypt
Abstract:We establish the solution of the ninth order — in masses — canonical J-S equations of motion by Hori-Lie technique — i.e., by expressing the initial Poincaré canonical variables as functions of the new variables through the Hori-Lie canonical transformation. Terms of order higher than 9 in the masses are neglected.
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