Mean Solar Day

d=86,400 sd = 86,400\ \text{s}
Value86,400 s
StatusExact by definition — no uncertainty
SourceSI definition of the day (BIPM); mean solar day from IERS length-of-day series
CategoriesAstronomical
Mean Solar Day in every time unit
Planck time1.6025977e+48 tP
attosecond8.6400000e+22 as
femtosecond8.6400000e+19 fs
picosecond8.6400000e+16 ps
nanosecond86,400,000,000,000 ns
shake8,640,000,000,000 shake
microsecond86,400,000,000 µs
millisecond86,400,000 ms
second86,400 s
minute1,440 min
hour24 h
sidereal day1.0027379 sd
day1 d
week0.14285714 wk
fortnight0.071428571 fn
month0.032854884 mo
year0.0027378508 yr
decade0.00027378508 dec
century0.000027378508 cent
millennium0.0000027378508 mil
megayear2.7378508e-09 Myr
eon2.7378508e-12 eon

Learning zone

The second was originally 1/86 400 of a mean solar day, so by construction the day was exactly 86 400 of them. When the second was redefined in 1967 in terms of caesium-133, the definition was pinned to the rotation rate of the mid-nineteenth century, and the planet has been slowly losing ground ever since: the mean length of day currently runs about 1–2 milliseconds over 86 400 s, mostly because tidal friction with the Moon is braking the spin.

Those milliseconds accumulate, which is why UTC has needed 27 leap seconds since 1972 to stay within 0.9 s of Earth's actual rotation. The "mean" also hides the equation of time: because the orbit is elliptical and the axis tilted, real solar days vary by up to 30 seconds through the year, so sundials run up to 16 minutes ahead of or behind clocks — the analemma printed on old globes.