
The maximum luminosity an object can achieve while balancing gravitational attraction and radiation pressure.The Eddington limit is the maximum luminosity a celestial object can emit before the outward pressure of its radiation overwhelms the inward pull of gravity. When an object approaches this threshold, radiation pressure becomes so intense that it can blow away surrounding matter, effectively capping how bright an object can be while remaining gravitationally bound. This limit is fundamental to understanding the lives of massive stars, the accretion disks around black holes, and the behavior of supernovae.
The concept was formulated by British astrophysicist Arthur Eddington in the 1920s while he was studying the stability of stars, particularly in the context of radiation pressure in stellar interiors.
Photons carry momentum, so when they are emitted by a hot object, they exert a tiny push on any matter they encounter. In a star, the outward flow of radiation pushes against the gas, while gravity pulls it inward. The Eddington limit is the luminosity at which these two forces balance for a given mass. If the luminosity exceeds this value, the radiation pressure overcomes gravity, driving material outward and potentially disrupting the object.
It is used to estimate the maximum mass of stars, to model the accretion rates onto black holes and neutron stars, and to interpret observations of luminous quasars and X-ray binaries.
The most massive known stars, like R136a1, are close to the Eddington limit, which is why they shed mass through powerful stellar winds and are not the largest in size despite being the most massive.








