A note on Hansen's coefficients in satellite theory

Details A note on Hansen's coefficients in satellite theory A note on Hansen's coefficients in satellite theory

Dec 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976cemec..14..515g&link_type=abstract

Celestial Mechanics, vol. 14, Dec. 1976, p. 515-523.

Mathematics

14

Artificial Satellites, Celestial Mechanics, Perturbation Theory, Eccentricity, Functions (Mathematics), Geopotential, Power Series

Scientific paper

General formulas for Hansen's coefficients in satellite theory are derived along with expressions for the eccentricity functions G and H. Recurrence relations for the eccentricity functions and their derivatives are obtained which are valid for all values of the parameter p. It is noted that the recurrence relations obtained by Challe and Laclaverie (1969) as well as by Balmino (1973) do not satisfy certain parity conditions and therefore involve coefficients outside the range of usage.

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