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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Hori, G. I.: 1966, Publications of the Astronomical Society of Japan, 18(4), 287–296.
Kamel, O. M.: 1989, Earth, Moon, and Planets 44, 275–289.
Lie, S.: 1888, Theorie der Transformationgruppen I, Teubner, Leipzig, Section 12.
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Kamel, O.M., Soliman, A.S. Expression of the initial Poincaré canonical variables as functions of the new in a ninth order J-S theory. Earth Moon Planet 56, 209–231 (1992). https://doi.org/10.1007/BF00116288
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DOI: https://doi.org/10.1007/BF00116288