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ברכות נט,ב
Kiddush Hachama comes around every twenty eight years. It is the time when the sun is in the same position as at creation Tuesday night 6:00 PM. According to Shmuel the sun travels in a 365 1/4 days such that there is a difference of 6 hours every year so it takes 4 years to get to the same time on a day. To get back to that particular day, it requires a 7 day cycle. So to get to this hour above for Tuesday it will require 7×4 or 28 years. We have another calculation of 19 years where the moon catches up with the sun. A moon year is around 354 days whereas a sun year is around 365 so there is a difference of 11 days. Every 3,6,8,11,14,17,19 years of the 19 year cycle we add an extra month. The question the Masas Binyomin asks why can’t we make a kiddush hachama after 19 years? He explains it does not guarantee that the sun will be in the same place as the time of creation. The Yaaros Devash,1 asks, how does this work when Adam Harishon was created in Tishri and we make Kiddush Hachama in Nissan? He explains that before Adam Harishan sinned the sun traveled in an accelerated rate covering six months in 3 days.