Analytical satellite theory in extended phase space

Details Analytical satellite theory in extended phase space Analytical satellite theory in extended phase space

May 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980cemec..21..357b&link_type=abstract

Celestial Mechanics, vol. 21, May 1980, p. 357-360.

Mathematics

6

Astrodynamics, Canonical Forms, Orbital Elements, Transformations (Mathematics), Hamiltonian Functions

Scientific paper

It is noted that a satellite theory, based on extended phase space and on the true anomaly, was introduced by Scheifele (1970). In the present paper a simple canonical transformation is shown that makes the transition from the classical Delaunay elements to the Scheifele variables. It is stressed that neither spherical coordinates nor Hamilton-Jacobi theory is used. Finally, attention is given to the meaning of the new variables, especially the use of the true anomaly as one of the variables.

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