The Inverse Square Law for Intensity
A star radiates its power equally in all directions. At a distance d from the star, that power L is spread over the surface of a sphere of area 4πd2. The intensity received is therefore
I = L ÷ 4πd2
This is an inverse square law: I is proportional to 1/d2. Doubling the distance spreads the same power over four times the area, so the intensity falls to a quarter. Tripling the distance reduces it to a ninth.
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