The speed of the Earth's rotation varies from day to day. One of the main factors are the celestial bodies surrounding us.
For example, the Moon's gravitational pull causes tides and changes the Earth's shape, ultimately resulting in a lower rotational speed. The distance between Earth and Moon changes constantly, which makes for daily variations in the speed our planet rotates around its axis.
How Earth’s rotation affects eclipse paths
Super-accurate atomic clocks were first developed in the 1950s and 1960s. So measurements of the Earth's rotation using atomic clocks only go back as far as then.
However, telescopic timings of stellar occultations by the Moon provide information about the Earth's rotation going back to the 17th century. An occultation is when the Moon, as seen from the Earth, passes in front of a star.
This chart, produced using data from the IERS, shows the length of day going back to 1830. It indicates that Earth was spinning particularly fast around the year 1870, and particularly slow around the start of the 1900s.
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Going back even further, records of solar and lunar eclipses provide information from the 8th century BCE onwards.
For example, a Babylonian clay tablet tells us that a total solar eclipse was observable in the ancient city of Babylon on April 15, 136 BCE.
Modern computer models can calculate the path of totality for this eclipse with a high degree of accuracy. From this, we can work out the Earth's spin. For instance, if the Earth had been spinning a bit faster at that time, the path of totality would have passed to the west of Babylon—not directly over the city.