Abstract
We have studied the motion of a classical particle within a boundary (an ellipse and a stadium) which rotates anticlockwise around its center. The orbits where the particle rotates anticlockwise (aligned orbits) are shown to possess a peculiar stability opposite to the case where the particle rotates clockwise. Chaotic orbits are also created and conditions are studied for which the motion of the particle is localised. For strong inertial forces the rotating stadium and the ellipse possess a similar phase space. This suggests that the anticlockwise orbits play a similar role as the adiabatic skipping orbits recently discovered by Berry and Robnik for billiards in magnetic fields.
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