  In this paper we consider the motion of a rigid body immersed in a two
dimensional unbounded incompressible perfect fluid with vorticity. We prove
that when the body shrinks to a massless pointwise particle with fixed
circulation, the "fluid+rigid body" system converges to the vortex-wave system
introduced by Marchioro and Pulvirenti in [11]. This extends both the paper [2]
where the case of a solid tending to a massive pointwise particle was tackled
and the paper [3] where the massless case was considered but in a bounded
cavity filled with an irrotational fluid.
