Astrophysicists analyzing the habitable zone of a newly catalogued star system, Gliese-X, measure the host star's radiant power output to be 6.4 × 10²⁶ W. An Earth-like exoplanet orbits this star at an average distance of 3.1 × 10¹¹ m.

The intensity of electromagnetic radiation, $I$, received at a distance $d$ from a star of power output $P$ is given by the formula:

$$I=\frac{P}{4\pi d^2}$$