Spectral decomposition of geopotential, earth and ocean tidal perturbations in linear satellite theory

Details Spectral decomposition of geopotential, earth and ocean tidal perturbations in linear satellite theory Spectral decomposition of geopotential, earth and ocean tidal perturbations in linear satellite theory

Jun 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990cemda..50..125c&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 50, Issue 2, pp.125-141

Astronomy and Astrophysics

Astronomy

Geopotential, Spectral Decomposition, Artificial Satellite Orbits

Scientific paper

The spectra of geopotential, Earth and ocean tidal perturbations on a satellite can be obtained using Kaula's linear theory, or an extension thereof, as summations of terms depending on four indices l, m, p, q. In this work algorithms are presented that generate the equivalence classes induced by the composition rule of frequency on the set of all (l, m, p, q) combinations up to a maximum degree L and maximum value Q of the last index. These algorithms eliminate the need to search the set of frequencies when the linear theory is programmed on a computer.

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