The total amount of energy a star emits per unit time.Luminosity is the total amount of energy a star radiates into space every second. It is a fundamental measure of a star's power, often expressed in units of the Sun's luminosity. Unlike apparent brightness, which depends on distance, luminosity is an intrinsic property of the star itself, telling us how much nuclear fuel it is burning in its core.
The concept of luminosity as a measure of a star's total energy output was formalized in the late 19th and early 20th centuries, with key contributions from astrophysicists like Ejnar Hertzsprung and Henry Norris Russell, who used it in their famous diagram.
Luminosity is determined by the star's radius and surface temperature, following the Stefan-Boltzmann law: a hotter or larger star radiates more energy per unit area and thus has higher luminosity. For main-sequence stars, luminosity scales strongly with mass, so more massive stars are dramatically more luminous. In practice, astronomers measure a star's apparent brightness and distance to calculate its luminosity.
Luminosity is used to determine distances to stars and galaxies (via standard candles like Cepheid variables) and to classify stars into evolutionary stages.
The most luminous known stars, like R136a1, are millions of times more luminous than the Sun, but they live only a few million years because they burn fuel so rapidly.
| M | variable | stellar mass — mass kilogram |
| L | variable | stellar luminosity — luminosity watt |
| M_sun | variable | solar mass — mass kilogram |
| L_sun | variable | solar luminosity — luminosity watt |
| a | constant | empirical slope of the relation — empirical slope = 3.5 |
| b | constant | empirical intercept of the relation — empirical intercept = 0 |
| log10 | operator | base-10 logarithm — logarithm base 10 |
| L_{\rm Edd} | variable | Eddington luminosity — luminosity watt |
| M | variable | Mass of the object — mass kilogram |
| c | variable | Speed of light — speed metre per second |
| G | constant | Newtonian gravitational constant — gravitational constant = 6.67430e-11 cubic metre per kilogram per second squared |
| \kappa | constant | Opacity of the stellar material — opacity = 0.034 square metre per kilogram |
| \dot{n}_{\text{ion}} | variable | ionization rate per unit volume — ionization rate metre per second per cubic metre |
| L | variable | line luminosity — luminosity watt |
| R | variable | emission coefficient — emission coefficient watt per cubic metre per steradian |
| c | variable | speed of light — speed of light metre per second |
| f_{\text{esc}} | variable | escape fraction of ionizing photons — escape fraction |
| M_BH | variable | Black hole mass — mass kilogram |
| L | variable | Continuum luminosity (e.g., at 5100 Å) — luminosity watt |
| FWHM | variable | Full width at half maximum of emission line — line width metre per second |
| α | variable | Power-law index for luminosity — power law index |
| β | variable | Power-law index for line width — power law index |
| L_Edd | variable | Eddington luminosity — luminosity watt |
| M | variable | Mass of the object — mass kilogram |
| κ | variable | Opacity of the accreting material — opacity square metre per kilogram |
| G | constant | Newtonian gravitational constant — gravitational constant = 6.67430e-11 cubic metre per kilogram per second squared |
| c | constant | Speed of light in vacuum — speed of light = 299792458 metre per second |
| L | variable | Luminosity (total power radiated) — luminosity watt |
| R | variable | Radius of the radiating body — radius metre |
| T | variable | Effective temperature of the surface — temperature kelvin |
| \sigma | constant | Proportionality constant relating blackbody radiated power to temperature — stefan boltzmann constant = 5.670374419e-8 watt per metre squared per kelvin to the fourth |




