Note on Cid's radial intermediary and the method of averaging

Details Note on Cid's radial intermediary and the method of averaging Note on Cid's radial intermediary and the method of averaging

Sep 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987cemec..40..335d&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 40, no. 3-4, 1987, p. 335-343.

Mathematics

4

Artificial Satellites, Equations Of Motion, Orbit Perturbation, Canonical Forms, Hamiltonian Functions, Transformations (Mathematics)

Scientific paper

The approach to artificial satellite theory has changed in recent years from one of averaging over short and then long periods to one of mapping progressively the initial system onto simpler and simpler intermediaries by canonical transformations like the elimination of the latitude, the elimination of the parallax, or the elimination of the perigee. The simplification procedures, however, are merely analytical; what they mean geometrically or intuitively is yet to be found. As a step in that direction, this paper discusses how the elimination of the latitude relates to the traditional method of averaging over the mean anomaly.

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