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Nonaxisymmetric solutions of Laplace's tidal equation and Rossby waves
Authors:M I Ivanov
Abstract:The Laplace tidal equation which plays a basic role in tide theory is investigated. A method of numerically-analytic integration of the Laplace tidal equation over the entire sphere without using the β-plane approximation is developed and its nonaxisymmetric solutions are investigated. Harmonics corresponding to long-period oscillations known as planetary or Rossby waves are obtained.
Keywords:Laplace’  s tidal equation  Hough functions  nonaxisymmetric harmonics  Rossby waves  singular points  Fuchs series
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