Abstract
The canonical transformation which Scheifele (1970) proposes to make a coordinate of the true anomaly is the product of a Whittaker transformation by an extension to space-time of the one-parameter family of canonical transformations that Hill (1913) defined for the same purpose.
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References
Andoyer, H.: 1913,Bull. Astron. 30, 425.
Hill, G. W.: 1913,Astron. J. 27, 171.
Scheifele, G.: 1970,C. R. Ac. Sci. Paris 271, 729.
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Scheifele, G. and Graf. O: 1974,AIAA Mechanics and Control of Flight Conference, August 5–9, AIAA Paper No. 74-838.
Whittaker, E. T.: 1904,A Treatise on the Analytical Dynamics of Particles and Rigid Bodies, Cambridge University Press, see footnote on p. 343 of fourth edition.
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Deprit, A. A note concerning the TR-transformation. Celestial Mechanics 23, 299–305 (1981). https://doi.org/10.1007/BF01230743
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DOI: https://doi.org/10.1007/BF01230743