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See also this letter by the Lubavitcher Rebbe on this subject, in which he states: It is my firm belief that the sun revolves around the earth, as I have also declared publicly on various occasions and in discussion with professors specializing in this field of science. He also explains why he believed this way based on the Theory of Relativity.
Here's another "grain of salt" answer. If you accept the Vilna Gaon's drasha on Melachim Aleph 7:23, then Shlomo HaMelech knew pi to be 333/106=3.14151, a value not surpassed in accuracy by the scientific community for more than 1000 years, with Ptolemy's publication of 3.1416 in c150 CE.
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