On the stability of motion of a rigid body containing a fluid possessing surface tension

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In the paper [1] a theorem was established which reduced the question of the stability of stationary motion (in particular, equilibrium) of a rigid body with a cavity wholly or partially filled with an ideal or viscous fluid to the problem of the minimum of the potential energy. The surface tension of the fluid was not taken Into account in the paper. However, in a number of cases, particularly under zero-gravity conditions, the Inclusion of surface tension may prove to be significant [2]. Theorems on the stability of equilibrium and stationary motion of a rigid body containing a cavity filled with a fluid possessing surface tension are proved below.