When will we have to add or remove a day from the Gregorian calendar?

Question

Given the Gregorian calendar with its 400-year cycle there must be some time in the future when a day will have to be added or removed. Since 365.2425 days per year in not exact.

Answer 1

In the Gregorian calendar which is currently in use in most countries, there is a leap year every year divisible by four except for years which are both divisible by 100 and not divisible by 400. Therefore, the year 2000 will be a leap year, but the years 1700, 1800, and 1900 were not. The complete list of leap years in the first half of the 21st century is therefore 2000, 2004, 2008, 2012, 2016, 2020, 2024, 2028, 2032, 2036, 2040, 2044, and 2048.

In the Gregorian calendar, 97 years out of every 400 are leap years, giving the total number of days in 400 years as:

400 * 365 +100 - 3 = 146, 097


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Answer 2

We add one every leap year, and only the centuries divisible by 400 are leap years. So 2100, 2200, and 2300 are not leap years. Occasionally, there is a leap second added to the atomical clock to adjust to the slowing rotation of the earth. Beyond that, I don't know.

Answer 3

So? By the time it becomes a problem the Earth's orbit will have slowed down anyway. But they do have "Leap Seconds" every few years to take care of it anyway. Google it.