Computer Science
Scientific paper
Oct 1970
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1970p%26ss...18.1393j&link_type=abstract
Planetary and Space Science, Volume 18, Issue 10, p. 1393-1416.
Computer Science
4
Scientific paper
A general theory of atmospheric oscillations is developed in which, by expanding in a complete set of vector harmonics, the system of differential equations for the motion can be reformulated, giving a system of matrix differential equations in the vertical variable. General formulae are derived for the matrix elements using group-theoretical methods. The separable case is considered in detail and a matrix representation of the Hough functions and associated eigenvalues is obtained, from which the orthogonality property follows directly; detailed calculations of these eigenfunctions and eigenvalues are made for the lunar diurnal and semi-diurnal oscillations. In Paper II the method will include the determination of the forced tidal oscillations of the combined atmosphere-ionosphere system, with the full Coriolis force.
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