  The purpose of this work is to investigate whether a cascading process can be
associated with the rotational motions of compressible three-dimensional
turbulence. This question is examined through the lens of circulicity, a
concept related to the angular momentum carried by large turbulent scales. By
deriving a Monin-Yaglom relation for circulicity, we show that an ``effective''
cascade of this quantity exists, provided the flow is stirred with a force
having a solenoidal component. This outcome is obtained independently from the
expression of the equation of state. To supplement these results, a
coarse-graining analysis of the flow is performed. This approach allows to
separate the contributions of the transfer and production terms of circulicity
and to discuss their respective effects in the inertial range.
