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need data-point: count rate of APD (avalanche photo-diode) for specific aperture and stellar magnitude

I hope lab / experimental physics is fair game for this web-site. If not, sorry! I'm designing a sensor system to perform specialized [astronomy and space-sciences] experiments, and need a "reality ...
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Does Lambert's formula give correct results of luminous flux density?

A uniform point-source S, having luminous intensity, $I$, is located at a point at a distance $r(=OS)$ from the center O of a plane having area $A$ such that $\theta$ is the angle between the line ...