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Which of these sciences did the babylonians use to determine their new year?

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Answer:

The Babylonians used astronomy to determine the start of their new year, known as Akitu. They closely observed the movements of the stars and planets, and specifically the vernal equinox, which marks the moment when the sun is directly above the equator and the day and night are of equal length. This usually happened in late March. The exact date of the vernal equinox was used to set the beginning of the new year, and the festival of Akitu was timed to coincide with this astronomical event. The Akitu festival was a religious event and it was associated with the god Marduk, who was considered the ruler of the cosmos.

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