Mathematics
Scientific paper
Dec 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980zhpmr..32..632p&link_type=abstract
(ZHETF Pis'ma v Redaktsiiu, vol. 32, Dec. 5, 1980, p. 632-635.) JETP Letters, vol. 32, Dec. 5, 1980, p. 619-622. Translation.
Mathematics
Jupiter Red Spot, Magnetohydrodynamic Flow, Planetary Waves, Plasma Drift, Solitary Waves, Vortices, Coriolis Effect, Lorentz Force, Planetary Atmospheres, Planetary Rotation, Steady Flow
Scientific paper
A simplified mathematical description of the Great Red Spot of Jupiter is derived and compared with the drift soliton in an inhomogeneous plasma. A simplified equation is obtained which describes Rossby waves in a rotating inhomogeneous atmosphere with depth much less than the wavelength. Solution of the equation results in a steady-state, isolated vortex that travels along a parallel with a velocity higher than the Rossby velocity and directions of rotation and propagation in the atmosphere opposite to the direction of planetary rotation, which is similar to Jovian spots or terrestrial anticyclones. The Rossby waves are noted to be similar to drift waves in a plasma, due to the similarities between the Coriolis force and the Lorentz force, and the vortex solutions are noted to differ from drift soliton solutions in a plasma by the natures of the major gradients in the waves (Coriolis force vs. temperature and density gradients).
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