Distortion of the shape of a sphere modeled by a potential dipole in a uniform flow caused by a second dipole

The paper studies the interaction of a uniform flow of an incompressible inviscid fluid running on two spaced point dipoles. We assume that the flow is potential one described by the classical sum of elementary potentials. In the case of one isolated dipole in a flow, there is such a spherical surface surrounding the dipole on which the impermeability condition is satisfied. If we add a second dipole to the flow at a distance much greater than the radius of the specified sphere, its surface is slightly perturbed. In this work, the perturbed surface of the sphere due to the presence of the second dipole, is found by asymptotic methods.