Rav Yechiel Michel Tukatchinsky, mashgiach of Slabodka in Bnai Brak, and founder of Yeshivas Mekor Chaim in Yerushalayim. In 1925, he published a sefer called Tekufas Hachamoh Uvirchosoh, in preparation for the bracha made when the sun returns to the point at which it began upon Creation. He wrote a sefer called Bein Hashmoshos, published in 1929, which dealt with the International Date Line. In 1941, he changed his mind altogether, as documented in his sefer, Hayomam Bekadur Haaretz.
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Your information is incorrect.
Rav Y.M. Tukatchinsky was never mashgiach of SlobodkaYeshivah in Bnei Brak.
R.Moishe Tikuchinsky was mashgiach of Slobodka
Yeshiva.
I think they were not related.