Formula
SNR = N·S ÷ √[N·(S + pixels·(background + dark + read noise²))]
S is source electrons per frame and N is stacked frames.
What the result means
Use the main result as a transparent first-order planning value. The supporting metrics expose intermediate quantities so assumptions can be checked and compared across scenarios.
The equation assumes independent Poisson and read noise. Saturation, scintillation, trailing losses, flat-field errors, correlated backgrounds, and source-extraction losses are not represented.