Basically, under the Persian Empire, Kidinnu or Cidenas: famous Babylonian astronomer (fourth century BCE?), one of the most important persons in the history of science, created the saros cycle.
At first, intercalary months were announced by the king (who had an astronomical adviser), but after Babylon had been captured by the Persian king Cyrus in 539, priestly officials took over. They started to look for a standard procedure for the intercalation of months. It was introduced in 503 BCE by Darius I the Great (if not earlier).
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The concept of the saros cycle was not "invented" but rather observed and documented by ancient civilizations. The Chaldeans, Babylonians, and Greeks were among the early astronomers who recognized this cycle of approximately 18 years, 11 days, and 8 hours that predicts when eclipses will repeat.
A lunar eclipse occurs roughly every 6 months, so it would be about 18.6 years before a lunar eclipse happens again on February 20th. This cycle of lunar eclipses repeating on the same date is known as the Saros cycle.
The first 365-day calendar, known as the solar calendar, is believed to have been developed by the ancient Egyptians around 2700 BC. This calendar was based on the annual cycle of the sun and consisted of 12 months of 30 days each, with an additional 5 or 6 days added at the end of the year to align with the solar cycle.
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The water cycle is the cycle that the atmosphere does not play a role in. While the atmosphere is involved in many other Earth cycles, such as the carbon cycle and nitrogen cycle, the water cycle primarily involves the movement of water between the Earth's surface, oceans, and freshwater sources.
The average sunspot cycle is approximately 11 years, with periods of high sunspot activity followed by lower activity levels. This cycle is known as the solar cycle or the sunspot cycle.