Asymptotic eigensolutions of Laplace's tidal equation

Details Asymptotic eigensolutions of Laplace's tidal equation Asymptotic eigensolutions of Laplace's tidal equation

Mar 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977rspsa.353..377m&link_type=abstract

Royal Society (London), Proceedings, Series A, vol. 353, no. 1674, Mar. 25, 1977, p. 377-400.

Other

4

Asymptotic Methods, Atmospheric Tides, Eigenvalues, Laplace Equation, Planetary Atmospheres, Rossby Regimes, Earth Atmosphere, Eigenvectors, Gravity Waves, Ocean Currents, Planetary Rotation, Propagation Modes, Tropical Regions

Scientific paper

Analytic approximations of the eigensolutions (Hough functions) of Laplace's tidal equation (singular) are obtained in the asymptotic limit of rapid rotation for prescribed values of lambda (angular frequency of oscillations divided by two times the angular velocity of the planet) and large values of Lamb's parameter regarded as eigenvalue. Waves of the first and second class are considered. The results may be useful for terrestrial and other planetary atmospheres, especially for rapidly rotating planets.

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