Nominal Solar Luminosity

L⊙N=3.828×1026 W\mathcal{L}^{\mathrm{N}}_\odot = 3.828 \times 10^{26}\ \text{W}
Value1 Lsun (3.828 × 10²⁶ W)
StatusExact by definition: no uncertainty
SourceIAU 2015 Resolution B3
CategoriesAstronomicalStars & Sun
Nominal Solar Luminosity in every power unit
UnitValue
solar luminosity1 Lsun
20 more power units
nanowatt3.8280000e+35 nW
erg per second3.8280000e+33 erg/s
microwatt3.8280000e+32 μW
milliwatt3.8280000e+29 mW
foot pound-force per minute1.6940327e+28 ft·lbf/min
BTU per hour1.3061678e+27 BTU/h
watt3.8280000e+26 W
kilocalorie per hour3.2914875e+26 kcal/h
foot pound-force per second2.8233879e+26 ft·lbf/s
thousand BTU per hour1.3061678e+24 MBH
metric horsepower5.2046316e+23 PS
horsepower (mechanical)5.1334326e+23 hp
electrical horsepower5.1313673e+23 hp (elec)
kilowatt3.8280000e+23 kW
ton of refrigeration1.0884732e+23 ton
boiler horsepower3.9023396e+22 bhp
million BTU per hour1.3061678e+21 MMBTU/h
megawatt3.8280000e+20 MW
gigawatt3.8280000e+17 GW
terawatt382,800,000,000,000 TW

Learning zone

The Sun's total radiant power follows from one measurement and one sphere: take the total solar irradiance at Earth's distance, about 1361 W/m², and multiply by the area of a sphere of radius one au. The nominal value fixed by the IAU in 2015 is exactly 3.828 × 10²⁶ W, deliberately rounded so that it does not change when irradiance monitoring improves, and so that "L = 10⁵ L⊙" means the same thing in every paper.

The real Sun varies by about 0.1 per cent over the 11-year sunspot cycle: enough to matter for climate reconstructions, nowhere near enough to matter for stellar classification. For scale, that output is roughly 10¹⁴ times humanity's entire primary energy consumption, and it comes from converting about 4.3 million tonnes of mass into energy every second in the core.

Revised 16 October 2026
Cite this page

formula.expert. (2026, October 16). Nominal Solar Luminosity. https://formula.expert/constants/nominal-solar-luminosity