Tropical Year

Ttrop=31,556,925.2 sT_{\mathrm{trop}} = 31,556,925.2\ \text{s}
Value26.0887278439 fn (31,556,925.2 s)
StatusReference value; the source states no uncertainty
SourceIERS Conventions (2010); mean tropical year at epoch J2000
CategoriesAstronomical
Tropical Year in every time unit
UnitValue
fortnight26.088728 fn
hour8,765.8126 h
day365.24219 d
year0.99997862 yr
sidereal day366.24219 sd
week52.177456 wk
month11.99999 mo
decade0.099997862 dec
14 more time units
Planck time5.8533629e+50 tP
attosecond3.1556925e+25 as
femtosecond3.1556925e+22 fs
picosecond3.1556925e+19 ps
nanosecond3.1556925e+16 ns
shake3.1556925e+15 shake
microsecond31,556,925,000,000 µs
millisecond31,556,925,000 ms
second31,556,925 s
minute525,948.75 min
century0.0099997862 cent
millennium0.00099997862 mil
megayear9.9997862e-07 Myr
eon9.9997862e-10 eon

Learning zone

Because the equinox slides backwards under precession, the seasonal year is about 20 minutes shorter than the orbital one: 365.242 19 days rather than 365.256 36. Every calendar is a rational approximation to that awkward number. The Julian rule of 365.25 is 11 minutes too long and drifts a day every 128 years; the Gregorian fix of skipping leap years in century years not divisible by 400 gives 365.2425, accurate to one day in 3200 years, at the cost of dropping ten dates in October 1582.

The tropical year is also slowly shortening, by roughly half a second per century, and it varies slightly depending on which equinox or solstice you start from. Astronomers therefore avoid it for dynamics and reserve it for exactly what it is good at: keeping the calendar in step with the seasons.

Revised 16 October 2026
Cite this page

formula.expert. (2026, October 16). Tropical Year. https://formula.expert/constants/tropical-year