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To convert leap years to days: multiply by 366. To seconds: multiply by 31,622,400.
1 leap year = 366 d = 8,784 h = 527,040 min = 31,622,400 s. That's 86,400 s more than a common year.
For example, 1 Year (Leap) (yr (Leap)) = 1.002074815 Year (Tropical) (yr (Trop)).
| Year (Leap) (yr (Leap)) | Year (Tropical) (yr (Trop)) |
|---|---|
| 0.1 | 0.1002074815 |
| 0.5 | 0.5010374075 |
| 1 | 1.002074815 |
| 2 | 2.00414963 |
| 5 | 5.010374075 |
| 10 | 10.02074815 |
| 25 | 25.05187038 |
| 50 | 50.10374075 |
| 100 | 100.2074815 |
| 500 | 501.0374075 |
| 1000 | 1002.074815 |
A leap year is a calendar year containing 366 days (31,622,400 seconds), with an extra day added as February 29th to correct calendar drift.
1 leap year = 366 d = 8,784 h = 527,040 min = 31,622,400 s. That's 86,400 s more than a common year.
To convert leap years to days: multiply by 366. To seconds: multiply by 31,622,400.
Calendar systems, date arithmetic in software (handling Feb 29), birthday celebrations for 'leaplings,' and financial calculations.
People born on February 29 are called 'leaplings' — they technically have a birthday only once every 4 years. The odds of being born on Feb 29 are about 1 in 1,461.
The most common bug: not handling Feb 29. Many software failures have occurred on leap day. Also, the 100/400 rule is often forgotten.
Leap year test: divisible by 4? Yes → leap year, UNLESS divisible by 100, UNLESS also divisible by 400. Code it: (y%4==0 && y%100!=0) || y%400==0.
The tropical year is the time for the Sun to return to the same equinox point — approximately 365.24219 days (31,556,925.216 seconds).
1 tropical year ≈ 365.24219 days ≈ 365 d 5 h 48 min 45 s. Shorter than the sidereal year by about 20 minutes due to precession.
To convert tropical years to days: multiply by 365.24219. To Julian years: multiply by 365.24219/365.25.
Calendar design — the Gregorian calendar's average year (365.2425 days) approximates the tropical year to within 26 seconds.
The tropical year is slowly shortening — by about 0.53 seconds per century. In the year 1900, it was 365.24220 days.
Confusing tropical year with sidereal year — the tropical year is ~20 minutes shorter due to axial precession.
The tropical year governs seasons. If we used the sidereal year for calendars, seasons would slowly drift through the months over ~26,000 years.



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