Solar Constant (Total Solar Irradiance)

S0=1361 W/m2S_0 = 1361\ \text{W/m}^{2}
Value1361 W/m²
StatusMeasured: ± 0.5 W/m² (0.00037 relative)
SourceKopp & Lean (2011); TSIS-1 total solar irradiance monitoring
CategoriesAstronomicalsolar-systemenergy
S_0 in every intensity unit
microwatt per square meter1,361,000,000 μW/m²
milliwatt per square meter1,361,000 mW/m²
watt per square meter1,361 W/m²
kilowatt per square meter1.361 kW/m²
milliwatt per square centimeter136.1 mW/cm²

Learning zone

Divide the Sun's luminosity by the area of a sphere one au in radius and you get 1361 watts on every square metre facing the Sun, measured above the atmosphere. It is misnamed twice over. It is not constant over the year — Earth's orbital eccentricity swings it by ±3.4 per cent, peaking in early January at perihelion — and it is not constant over the solar cycle either, varying about 1 W/m² between sunspot maximum and minimum. The accepted value itself moved: satellite radiometers reported 1365–1367 W/m² for decades until the TIM instrument on SORCE exposed a stray-light error in the older designs, revising it down to 1361 in 2011.

Averaged over the whole rotating planet the figure becomes 1361/4 ≈ 340 W/m² at the top of the atmosphere, of which roughly 30 per cent is reflected straight back — the numbers from which Earth's equilibrium temperature, and the size of the greenhouse effect, are derived.