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On the asymmetric diurnal tide
Authors:Richard S Lindzen
Institution:(1) National Center for Atmospheric Research, Boulder, Colorado, USA
Abstract: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 2 1 (cos THgr), THgr 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 2 1 gives rise to no surface pressure oscillation.
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