We consider a solid in a two-dimensional perfect incompressible fluid. The fluid is driven by the classical Euler equation, and the solid evolves according to Newton's law under the
influence of the pressure on its surface. We consider the limit of the system as the solid shrinks to a point. We obtain various different models in the limit. A first model is obtained when the mass of the solid and the circulation around it are fixed; in that case the system
converges to a variant of Marchioro and Pulvirenti's vortex-wave system where the vortex, placed in the point occupied by the shrunk body, is accelerated by a lift force similar to the Kutta-Joukowski force. A second one is obtained when the mass of the solid and its density are
fixed; in that case, we recover in the limit the vortex-wave system itself. These results are obtained in collaboration with Christophe Lacave (Paris-Diderot), Alexandre Munnier (Nancy) and Franck Sueur (Bordeaux).