Abstract
Celestial mechanics is replete with special coordinate systems some of which bear the names of the greatest mathematicians of all times. There is an old saying in celestial mechanics: “No set of coordinates is good enough.”
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References
Mathieu, E. 1874: Mémorire sur les equations différentieles canoniques de la mácanique, J. de Math. Pures et Appl., 39, 265–306.
Pollard, H. 1966: Mathematical Introduction to Celestial Mechanics. Prentice–Hall, New Jersey.
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Meyer, K.R., Offin, D.C. (2017). Special Coordinates. In: Introduction to Hamiltonian Dynamical Systems and the N-Body Problem. Applied Mathematical Sciences, vol 90. Springer, Cham. https://doi.org/10.1007/978-3-319-53691-0_8
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DOI: https://doi.org/10.1007/978-3-319-53691-0_8
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