Stokes flow is analysed for a combination body, consisting of a sphere attached to a slender body, moving in an infinite and otherwise undisturbed fluid.
The slender body is represented by a distribution of stokeslet, stokes doublet and source doublet along its axis and the strength of the singularities are obtained by applying the no-slip condition to the combination body.
The interactive effect of head-tail attachment is manifested by the presence of image singularities located within the sphere.
The solution follows the line of traditional slender body theory, an expression being performed in ascending powers of the reciprocal of the logarithm of the aspect ratio.
