Linear Rossby wave dispersion relationships suggest that Jupiter's Gre
at Red Spot (GRS) is a baroclinic structure embedded in a barotropic s
hearing zonal flow. Quasi-Geostrophic (QG) two-layer simulations suppo
rt the theory, as long as an infinitely deep zonal flow is assumed. Ho
wever. once a finite depth of the lower layer is assumed, a self-inter
action of the baroclinic eddy component produces a barotropic radiatin
g field, so that the GRS-like eddy can no longer remain compact. Compa
ctness is recovered by explicitly introducing a deep dynamics of the i
nterior for the lower layer, instead of the shallow QG formulation. An
implication of the result is a strong coupling of the GRS to a convec
tively active interior.