Ultra-long baroclinic waves and Jupiter's Great Red SPOT

Mathematics – Logic

Scientific paper

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Atmospheric Circulation, Baroclinic Waves, Jupiter Atmosphere, Jupiter Red Spot, Long Wave Radiation, Atmospheric Models, Boundary Value Problems, Eigenvalues, Galilean Satellites, Linear Equations, Temperature Distribution

Scientific paper

The main features of the Jovian general circulation can be reproduced in solutions to Phillip's (1956) two-level quasi-geostropic beta plane model, if the latter is integrated with the appropriate planetary parameter values. While the large-scale bands of multiple jet streams can be explained in terms of the concepts of two-dimensional (quasi-barotropic) turbulence, the large-scale eddies, comparable to the Great Red Spot, depend critically on the baroclinic aspects of the flow for their existence. The scale of the Great Red Spot places it within the domain of ultralong baroclinic waves. The representation of ultralong baroclinic waves requires a Hirota-type (1968) quasi-geostrophic model with at least four levels. The geopotential and thermodynamic equations for such an inviscid adiabatic model are derived and solved.

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