Summary
The response of the atmosphere to a diurnally oscillating thermal drive, asymmetric with respect to the equator, is investigated. It is found that the solutions ofLaplace's tidal equation do not form a complete set; all of them being orthogonal to the associated Legendre polynomial,P 12 (cos Θ), Θ being the latitude. As an extension ofLaplace's theorem for gravitationally excited ocean tides to thermally driven atmospheric tides, it is shown that a diurnal drive whose latitude dependence is given byP 12 gives rise to no surface pressure oscillation.
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Lindzen, R.S. On the asymmetric diurnal tide. PAGEOPH 62, 142–147 (1965). https://doi.org/10.1007/BF00875296
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DOI: https://doi.org/10.1007/BF00875296