Abstract
For an analytical treatment of Gylden-Meščerskij systems, in order to reduce the Gylden model to a perturbed Keplerian system, a canonical transformation from extended polar nodal variables to universal Delaunay-Similar variables is developed. This TR-like transformation is then followed by a change of independent variable. Our considerations are based on Deprit’s approach to Scheifele’s reducing TR-mapping and Deprit’s treatment of the Gylden problem.
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Floría, L. (2001). Solving a Gylden-Meščerskij System in Delaunay-Scheifele-Like Variables. In: Pretka-Ziomek, H., Wnuk, E., Seidelmann, P.K., Richardson, D.L. (eds) Dynamics of Natural and Artificial Celestial Bodies. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1327-6_30
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DOI: https://doi.org/10.1007/978-94-017-1327-6_30
Publisher Name: Springer, Dordrecht
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