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Long atmospheric waves on the sphere and on the polar plane

Lange atmosphärische Wellen in Kugel- und Zylinderkoordinaten

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Summary

In earlier studies of long low-frequency atmospheric waves in the polar atmosphere a cyclindrical coordinate system had been used with the planez=0 tangential to the earth's surface at the pole. It had been found by numerical examples that the results obtained with a cylindrical coordinate system approximate quite well those obtained with a spherical coordinate system. Here, it is shown that the formulae for the wave frequencies in both coordinate systems are the same to a good degree of approximation.

Zusammenfassung

In früheren Untersuchungen langer atmosphärischer Wellen von niedriger Frequenz in der polaren Atmosphäre wurden Zylinderkoordinaten angewendet, wobei die Ebenez=0 die Erdoberfläche am Pole berührt. Dabei wurde mittels numerischer Beispiele gefunden, daß die in Zylinderkoordinaten erhaltenen Resultate gute Annäherungen an die mit Kugelkoordinaten berechneten darstellen. Hier wird gezeigt, daß die Formeln für die Wellenfrequenzen in beiden Koordinatensystemen angenähert gleich sind.

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Author notes

  1. B. Haurwitz

    Present address: Geophysical Institute, University of Alaska, Fairbanks

Authors and Affiliations

  1. Department of Atmospheric Science, Colorado State University, Foothills Campus, 80523, Ft. Collins, CO, USA

    B. Haurwitz

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  1. B. Haurwitz
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Haurwitz, B. Long atmospheric waves on the sphere and on the polar plane. Arch. Met. Geoph. Biokl. A. 29, 197–204 (1980). https://doi.org/10.1007/BF02247761

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  • DOI: https://doi.org/10.1007/BF02247761

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