Abstract
In the present note we show how a simple canonical transformation in extended phase space makes the transition from classical Delaunay elements to the Scheifele variables. We do not use spherical coordinates or Hamilton-Jacobi theory. The meaning of the new variables is briefly explained, especially the use of the true anomaly as one of the variables.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Aksnes, K.: 1970,Astron. J. 75, 1066.
Brouwer, D., 1959,Astron. J. 64, 378.
Iszak, I. G., 1963,Astron. J. 68, 559.
Scheifele, G., 1970,C.R. Acad. Sc. Paris 271, 729.
Scheifele, G. and O. Graf, 1974, AIAA paper 74-838 (Anaheim meeting, August 5–9, 1974).
Bond, V., 1976,Celestial Mechanics 13, 287.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Bond, V., Broucke, R. Analytical satelite theory in extended phase space. Celestial Mechanics 21, 357–360 (1980). https://doi.org/10.1007/BF01231274
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF01231274