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The physical shape of a giant planet can reveal important information about its centrifugal potential, and therefore, its rotation. In this paper we investigate the response of Jupiter's shape to differential rotation on cylinders of various cylindrical radii using a simple equipotential theory. We find that both solid‐body rotation (with System III rotation rate) and differential rotation on cylinders up to a latitude between 20 and 30 degrees are consistent with Jupiter's measured shape. Occultation measurements of Jupiter's shape could provide an independent method to constrain the depth of its zonal winds.

Jupiter's occultation radii: Implications for its internal dynamics