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Abstract
The classical electrostatic image principle for a perfectly conducting object consisting of two orthogonally intersecting spheres is revisited through vector analysis. A method for finding the image of a given charge distribution by splitting it in three virtual single-sphere problems is described. Also, a simple relation between the image charges of a given point charge is found. The method is applied to finding exact expressions for the polarizability dyadic of the object to be used as a bechmark for testing computing schemes on a nontrivial geometry. Application of the present object as a model for an oblong particle in a composite dielectric is also discussed.