The stability problems for equilibrium standard "double bubble" and "double drop" configurations are considered. Recent work has shown that a double bubble is stable to volume-preserving perturbations. In this paper, the stability to perturbations that do not conserve the volumes of the individual bubbles is examined. It is shown that a double bubble shape is also stable to these perturbations and, thus, is stable to arbitrary perturbations. The analysis is based on the principle of minimum total energy. A variational principle is used to formulate the stability problem for an equilibrium double drop configuration formed under zero gravity by two drops of immiscible incompressible liquids. (C) 2003 Elsevier Science (USA). All rights reserved.