Consider the situation far from any planets or stars.
 
If the ball-bearing is initially at the centre of the shell it will remain
there. If it is initially off centre, the ball bearing and the shell will
move so as to minimize the distance between the point on the shell that was
initially closest to the ball bearing.


This is my prediction. It does not violate conservation of momentum,
but it is not based on Newton's or Einstein's conception of gravity.

Harry



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