A time harmonic pressure is applied at the inner boundary of an acoustic fluid body, composed of two parallel, nonconcentric circular cylinders, which is itself embedded in another infinite acoustic fluid. The resulting radiation is determined as an expansion in terms of the nonconcentricity. For an applied internal pressure in ajth spatial mode, each order of this expansion introduces a “nearest neighbor” mode, e.g., the first order requires a (j+i)th and a (j−i)th mode. The solution procedure is based on an expansion of the Helmholtz integral equation formulation.