Unstable interaction of gravity-inertial waves with Rossby waves with application to solar system atmospheres

Details Unstable interaction of gravity-inertial waves with Rossby waves with application to solar system atmospheres Unstable interaction of gravity-inertial waves with Rossby waves with application to solar system atmospheres

Jan 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010a%26a...509l..11m&link_type=abstract

Astronomy and Astrophysics, Volume 509, id.L11

Astronomy and Astrophysics

Astrophysics

Hydrodynamics, Instabilities, Planets And Satellites: Atmospheres, Waves

Scientific paper

This letter reports on the important features of an analysis of the combined theory of gravity - inertial - Rossby waves on a β-plane in the Boussinesq approximation. In particular, it is shown that the coupling between higher frequency gravity - inertial waves and lower frequency Rossby waves, arising from the accumulated influences of the β effect, stratification characterized by the Väisäla - Brunt frequency N, the Coriolis frequency f, and the component of vertical propagation wave number kz , may lead to an unstable coupling between buoyancy - inertial modes with westward propagating Rossby waves. “Supersonic” fast rotators (such as Jupiter) are predicted to be unstable in a fairly narrow band of latitudes around their equators. The Earth is moderately supersonic and exhibits instability within about 34° of its equator. Slow “subsonic” rotators (e.g. Mercury, Venus, and the Sun's corona) are unstable at all latitudes except those very close to the poles where the β effect vanishes.

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