Numerical investigation of a bubble immersed in a liquid of different densi
ty in a container subject to translational oscillations in weightlessness c
onditions shows the following scenario where the bubble, initially located
at the container center, starts to move to the container wall due to an att
raction mechanism having nonviscous origin. This motion is accompanied by s
mall-amplitude oscillations with the frequency equal to the forcing frequen
cy and by ei en-oscillations with long period excited by the initial accele
ration. These eigen-oscillations are gradually damped. Simultaneously, the
deformation of the bubble shape averaged over the external forcing period o
ccurs. The bubble is flattened in the direction of vibration axis. An inter
esting result is the deceleration of the bubble motion when it approaches t
he wall and stops without touching the wall, such that a final state is rea
ched where the bubble centroid remains nearly quiescent (performing small o
scillations around this final mean position). Numerical results on the ecce
ntricity of the inclusion average-shape obtained under assumption that the
inclusion cross-section is an ellipse are compared with the results of anal
ytical investigation for the case of a cylindrical container of large radiu
s. Good agreement is found for a small-size inclusion.