Dark frames remove thermal signal and amplifier glow from your light frames, but each dark is itself noisy, and that noise gets injected during subtraction. Averaging many darks into a master dark smooths it out. This calculator shows the diminishing-returns curve so you take enough darks without wasting a clear night.
How it works
A master dark made by averaging N darks has noise reduced by the square root of N. The residual noise it adds to each calibrated light, relative to one raw dark, is:
residual(N) = 1 / √N
The marginal benefit of one more frame is the difference between 1/√N and
1/√(N+1), which shrinks rapidly. The tool reports both the residual penalty at
your chosen count and the gain from adding a single extra frame, so you can see
when the curve has flattened.
Example and tips
With 1 dark the residual is 1.0 — the master adds as much noise as a single dark. With 16 darks it drops to 0.25, a 75 percent reduction. By 50 darks it is about 0.14, and pushing to 100 only reaches 0.10. Most astrophotographers find 20 to 50 darks gives a clean master with little benefit beyond. Always match exposure, gain, and temperature to your lights, and reuse a temperature-matched master dark library so you are not re-shooting darks every session.