Ingersoll, Andrew P. and Miller, Ronald L. (1986) Motions in the Interiors and Atmospheres of Jupiter and Saturn: 2. Barotropic Instabilities and Normal Modes of an Adiabatic Planet. Icarus, 65 (2-3). pp. 370-382. ISSN 0019-1035 http://resolver.caltech.edu/CaltechAUTHORS:20121205-152332184
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The low-frequency motions in a rotating, adiabatic, inviscid fluid planet are barotropic, quasigeostrophic, and quasi-columnar. The only steady motions are differentially rotating cylinders in which zonal velocity ū is a function of cylindrical radius r. Projected onto the planetary surface the limiting curvature at which the flow becomes unstable is negative; its amplitude is three to four times the amplitude for thin atmospheres, for planets in which density decreases linearly to zero at the surface. This result, derived first by A.P. Ingersoll and D. Pollard (1982, Icarus 52, 62–80) for low zonal wavenumber perturbations, is shown to hold for all quasi-columnar perturbations. When ū = 0 the small amplitude motions are oscillatory. The lowest mode, as regards structure parallel to the axis, propagates eastward with a speed proportional to (wavelength)^2. Both the barotropic stability criterion and the phase speed of the normal mode oscillations have features in common with Jupiter and Saturn observations, although the test is inconclusive with current data and theory.
|Additional Information:||© 1986 by Academic Press Inc. Received June 3. 1985; revised September 30. 1985. This research was started while one of us (RLM) held a Summer Undergraduate Research Fellowship (SURF Program) at Caltech. Further support was provided through the Planetary Atmospheres Program of NASA.|
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|Official Citation:||Andrew P. Ingersoll, Ronald L. Miller, Motions in the Interiors and atmospheres of Jupiter and Saturn: 2. Barotropic instabilities and normal modes of an adiabatic planet, Icarus, Volume 65, Issues 2–3, February–March 1986, Pages 370-382, ISSN 0019-1035, 10.1016/0019-1035(86)90144-2. (http://www.sciencedirect.com/science/article/pii/0019103586901442)|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Ruth Sustaita|
|Deposited On:||07 Dec 2012 22:12|
|Last Modified:||07 Dec 2012 22:12|
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