Chazal tell us in Sukkah (quoted by Rashi in Bereishis) that eclipses are ominous signs. I have often been asked whether this is true with regard to contemporary times because we know how to predict eclipses. My answer has always been, "Yes." Even amongst the other ancient civilizations we find the ability to predict eclipses. The ability to predict eclipses was known as far back as the time of the Chaldeans. Even the Babylonians and Greeks were also very familiar with the necessary calculations.
The calculation required is knowledge of the Saros Cycle. The Saros Cycle is a duration of 18 years, 11 days and 8 hours. In each cycle, one will have eclipses at the same intervals as the one that preceded it. Every three cycles will have an eclipse at the same approximate location relative to Earth.
In fact, in the early 1900's an ancient Greek shipwreck was discovered. One of the items found was something that became known as the Antikythera Device (named for the location of the wreck). Its gearwork was so intricate that scientists were astounded. Something like this should not have been able to have been made in the time period this ship went down (approximately 100 years prior to the Churban Bayis Sheini). Not only was it clear that it had been made, it was clear that many prototypes had had to have been made prior to it, because this one was perfected. After much analysis, it became clear that the device was an ancient "calculator". It would display the movement of the Sun, Moon, stars and planets. It also would show when the next eclipse would happen.
This is more proof that they were able to calculate eclipses. They had even put the calculations into machines to do the dirty work for them. When Chazal made their statement, eclipses were already predictable events. If so, how could an eclipse be an ominous sign?
It seems that the answer is that when Hashem created the world He placed in it times that are naturally times of judgment (similar to Rosh Hashana). It was through His mercy that He shows us (and we can even predict) when these times will be, so the affected parties can repent.
THE BOOK (BEING PUBLISHED BY ISRAEL BOOK SHOP), THE SECRETS OF THE STARS, WILL BE IN STORES NEXT WEEK!!! KEEP YOUR EYES OPEN!
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