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Once one becomes used to the rotating frame it is easy to "feel" why this
should be, by the way. A physicist who is aculturated to thinking this way
would never say flatly that rotation does not give rise to the tidal
bulges because he invokes the concept of centrifugal force.
Those who
choose to look at the world as though centrifugal forces do not exist may
well say that rotation does not cause the bulges.
I claim that if the
bulges can be derived exactly by a model which invokes centrifugal force,
then it is logically defensible to say that rotation causes the tidal
bulges in part.
Just what fraction of the tidal bulge is due to rotation
can readily be calculated from this model by redoing the calculation and
leaving out the centrifugal term. The bulges remain, but they are smaller
if only the gravitational terms are invoked.