Here's my explanation : assuming random distribution, the probability of finding a star at a given distance is proportional to the area of the sphere having tha

Here's my explanation : assuming random distribution, the probability of finding a star at a given distance is proportional to the area of the sphere having that radius. So it follows a square law. Correct me if I'm wrong, but I think any function with an increasing rate of change (ie. second derivative > 0) will yield a distribution with the same ordering of digits as Benford's if random numbers are taken from it.