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About this calculation: inputs, formula and confidence

How long should my guide-camera exposure be?

Find a guide exposure that measures the star before mount motion becomes excessive.

Measured model

Formula

SNR = Ft ÷ √((F+B)t + R²)

The guide star must reach centroid SNR before the motion-limited cadence expires.

Where to find the inputs

  • Guide-star rateGuiding software star profile
  • Guide sky rateGuide-camera specification
  • Read noiseGuiding log
  • Mount error rateGuiding log

Related

Guiding Ratio →Polar Alignment →Field Rotation →

Guiding exposure

Measure the guide star before the mount moves on.

Solve the exposure needed for centroid SNR and compare it with the mount-motion ceiling.

Purpose and method

What this calculator does

How long should my guide-camera exposure be? Find a guide exposure that measures the star before mount motion becomes excessive.

In words: The guide star must reach centroid SNR before the motion-limited cadence expires.

Change a value and the result updates immediately. The mount error rate is a local slope, not total periodic error. Multi-star guiding and seeing usually favour a cadence range rather than one exact value.

Working geometry

Guide cadence envelope

Guide-star signal must become measurable before uncorrected mount motion exceeds the allowed distance.

SNR limitmotion limit

Inputs

Guide signal and mount motion

Unit: e⁻/s
Unit: e⁻/s
Unit: e⁻
Unit: ″/s
Unit: ″

Calculated now

Guiding cadence

SNR-limited minimum
0.84 s
Motion-limited maximum
2.00 s
Recommended guide exposure
0.84 s
Requested SNR is feasible
Yes

Governing equation

Guide-star signal-to-noise
SNR=Ft/√((F+B)t+R²)

In words: Guide-star signal grows with time while photon noise, sky noise and read noise determine the centroid measurement quality.

Show the working

The calculator applies the equation above to the values currently entered, without rounding until this display.

SNR-limited minimum
0.84 s
Motion-limited maximum
2.00 s
Recommended guide exposure
0.84 s
Requested SNR is feasible
Yes

The mount error rate is a local slope, not total periodic error. Multi-star guiding and seeing usually favour a cadence range rather than one exact value.