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It would take millennia for such an error to accumulate. Leap seconds are inserted less than once a year and 30 minutes is 1800 seconds.



Falsehoods programmers believe about leap seconds: 1. The rate at which leap seconds are inserted will remain roughly constant. [...]

The Earth's rotation is slowing down (by about 2 ms per day per century), so the difference between TAI and UT1 is increasing quadratically, not linearly.




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