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The WEIZAC was used to study problems like worldwide changes in tide, and it took hundreds of hours to compute any problem. The computer found out that there was a point in the South Atlantic at which the tide doesn't change. The computer also calculated the relationship between a helium nucleus and its two electrons* and yielded results that were experimentally confirmed by the Brookhaven National Laboratory. The computer solved a problem to see how earthquakes worked and to test a theory about the internal structure of the earth.
(* Note that no general solution exists for the three body problem, of which the Helium nucleus–electron relationship is a special case.)