[sorry for the bad English] I am fond of astronomy and environment. I want to try to make a "light pollution map" but I haven't my satellites... so I use as approximation of light pollution the cities' population. Let say we have for each city $C$ citizens, each one spreads an average of $X$ Watt of electricity for lightning ( I have these data ). Skip the units ( I need just a rough dimensionless "light power" ) : $\text{city light power} = C \times X$
I have a map, with many cities. I know light power is inversely proportional to the square of distance. I don't know about sky, air diffraction, cloud reflections.
Start from the simplest model. A flat terrain map. $N$ light sources, every one at position $X(n)$, $Y(n)$ has a specific $\text{"total light power"} = C(n) \times X(n)$
At a specific point of coordinates $(x, y)$ which is the light power, sum of all the cities light ?
I tried to calculate and plot, but it seems weird ( too far from some real satellite night shot ) and too slow to calculate.
Please help !