  We analyze a notable class of states relevant to an immiscible bosonic binary
mixture loaded in a rotating box-like circular trap, i.e. states where vortices
in one species host the atoms of the other species, which thus play the role of
massive cores. Within a fully-analytical framework, we calculate the
equilibrium distance distinguishing the motion of precession of two corotating
massive vortices, the angular momentum of each component, the vortices healing
length and the characteristic size of the cores. We then compare these
previsions with the measures extracted from the numerical solutions of the
associated coupled Gross-Pitaevskii equations. Interestingly, making use of a
suitable change of reference frame, we show that vortices drag the massive
cores which they host thus conveying them their same motion of precession, but
that there is no evidence of tangential entrainment between the two fluids,
since the cores keep their orientation constant while orbiting.
