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Pure and Applied Geophysics PAGEOPH

, Volume 62, Issue 1, pp 142–147 | Cite as

On the asymmetric diurnal tide

  • Richard S. Lindzen
Article

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 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 2 1 gives rise to no surface pressure oscillation.

Keywords

Pressure Oscillation Diurnal Tide Atmospheric Tide Equivalent Depth Latitude Dependence 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    M. Siebert,Atmospheric Tides, Advances in Geophysics7 (1961), 105.CrossRefGoogle Scholar
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    B. Haurwitz,The diurnal surface-pressure oscillation, Arch. Meteorol., Geophysik, Bioklimatol. [A] (1965), in press.Google Scholar
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    B. Haurwtiz andA. D. Cowley,The lunar and solar air tides at six stations in North and Central America, Monthly Weather Rev.93 (1965), 505.CrossRefGoogle Scholar
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    R. Lindzen,On the theory of the diurnal tide (1965), submitted to Monthly Weather Review.Google Scholar
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    S. S. Hough,On the application of harmonic analysis to the dynamical theory of the tide—Part II. On the general integration of Laplace's dynamical equations, Phil. Trans. Roy. Soc. London [A]191 (1898), 139.CrossRefGoogle Scholar
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    H. Lamb,Hydrodynamics (Dover Publ., New York 1932).Google Scholar

Copyright information

© Birkhäuser Verlag 1965

Authors and Affiliations

  • Richard S. Lindzen
    • 1
  1. 1.National Center for Atmospheric ResearchBoulderUSA

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