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Yes and no. The power of Galileo's discourse was that he recognized thatHi!
This is a suggestion of a new thread to talk about. The subject
is the fact that real phenomena are, practically always, extremely
complicated and not quite suitable for exact study. It is by
disregarding a lot of details (correctly chosen by a good intuition)
that a productive analysis is possible.
I submit that astronomical ephemerides are evidence that physics has
a firm grasp on real phenomena in many cases. The formation of those
shadows should be a good test of the validity of my claim.