Analytic, baroclinic solutions to Euler's equation for a rotating fluid in an external gravitational field are obtained by a nonlinear superposition of two or more barotropes. As an example, the addition of a constant angular momentum toroid to a rigid rotor barotrope is shown to generate large, thick baroclinic toroids with steep central funnels and favorable local stability properties.
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Amendt et al. (1989) studied this question.
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