Rudolf,

 

If the day length starts at 86400 seconds and grows by 0.000017 second each 
year, it would indeed reach 86401 seconds in about 60000 years.  But if this 
rate is uniform, the tiny fractional increases would accumulate to 1 second in 
just 343 years, so I think that's when the first leap second would be needed.

 

      Roger

 

From: sundial [mailto:[email protected]] On Behalf Of Rudolf 
Hooijenga
Sent: Monday, November 23, 2015 5:18 PM
To: 'Brooke Clarke'; [email protected]
Subject: RE: No decision on future of leap seconds

 

. . . In fact, the Earth does slow down – and not just lately –, but this 
effect amounts to about 17 microseconds each year on average, and would only 
necessitate an extra leap second every sixty thousand years or so. The 
day-to-day fluctuations are much larger than this.

 

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