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About this calculation: inputs, formula and confidence

Is my guide setup sufficiently precise?

Compare guide-camera and imaging-camera angular scales.

Exact geometry

Formula

q = sguide ÷ simage

Guiding ratio compares angular sampling in the guide and imaging systems.

Where to find the inputs

  • Imaging trainEquipment profile
  • Guide focal lengthGuide-scope and guide-camera specifications
  • Guide pixel pitchGuide-scope and guide-camera specifications

Related

Guiding Exposure →Polar Alignment →Field Rotation →

Guiding Ratio

Match the guider to the imaging train.

Compare the angular scale of the main camera with the guide camera and see the centroid precision needed to hold an imaging pixel.

Purpose and method

What this calculator does

Is my guide setup sufficiently precise? Compare guide-camera and imaging-camera angular scales.

In words: Guiding ratio compares angular sampling in the guide and imaging systems.

The main imaging scale comes from the saved telescope, modifier, camera and binning. Guide-scope and guide-camera measurements remain local because they are not part of the equipment profile.

Working geometry

Imaging and guiding scales

Two optical systems sample the same tracking motion at different angular scales.

imaging scaleguide scalesame motion

Inputs

Two optical paths

Main imaging train

Unit: mm
Unit: µm
Unit: ×

Guide train

Unit: mm
Unit: µm
Unit: ×

Calculated now

Scale and demand

Imaging scale
0.776″ / px
Guide scale
3.223″ / px
Guide : imaging ratio
4.16 : 1angular scale per pixel
Half-pixel demand
0.120 guide px0.388″ on sky

Equations

Image scale for each optical path
s=206.265⁢p⁢bf
Guide to imaging scale ratio
R=sguidesimage

A guide star centroid can be measured to a fraction of a guide pixel, so the ratio alone is not a pass/fail rule.

Guide-star signal, seeing, exposure time, mount response, flexure, calibration and software settings often matter more than a single ratio. An off-axis guider can also avoid differential flexure.