  Glorified dimensional analysis is used to derive scaling rules for internal
and external magnetic field strengths and various time scales. Naive
dimensional analysis is inconclusive because of multiple time scales, but
physical arguments serve to weed out irrelevant parameters. Time scales can be
derived from linearized instability analysis instead of ill-founded assumptions
of Magnetic-Archimedean-Coriolis (MAC) balance. Further relationships can be
derived from high-level models of coupled main field components and
differential rotation. The ratios of the external dipole field to internal
magnetic fields and of differential to overall rotation depend on details of
the dynamo mechanism.
