Differential rotation of the Jovian atmosphere. I - Criterion for convective instability and geostrophic motion

Astronomy and Astrophysics – Astronomy

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Convective Flow, Jupiter Atmosphere, Planetary Rotation, Turbulent Mixing, Atmospheric Models, Baroclinity, Entropy, Geostrophic Wind, Meridional Flow

Scientific paper

A theoretical model of a rapidly rotating shell with turbulent mixing within caused by heat transfer from the interior outwards is constructed to investigate the rotation of the Jovian atmosphere. The averaged rotational motion is assumed to be steady and axisymmetric. A system of model equations is developed, proceeding from the assumptions that the strength of meridional circulation and turbulent motions is small due to the weak heat transfer responsible for them and that the required motion regime with an appropriate 'slow' instability is slightly different from the limiting regime with neutral equilibrium relative to specific small perturbations. A criterion analogous to the Schwarzschild criterion is derived for convective instability in a rapidly rotating baroclinic medium. The extreme geostrophic regime of 'pure' rotation is analyzed, and it is found that the gas entropy at all depths must change equally with latitude.

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