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About this calculation: inputs, formula and confidence

How far out is my polar alignment?

Estimate polar-axis error from measured stellar drift.

Measured model

Formula

ε ≈ drift ÷ (15t cos δ)

Measured drift over time estimates the corresponding polar-axis error.

Where to find the inputs

  • Measured driftGuiding log or reticle measurement
  • Elapsed timePlate-solved target coordinates
  • Target declinationPlate-solved target coordinates

Related

Guiding Ratio →Guiding Exposure →Field Rotation →

Drift & Polar Alignment

Turn measured drift into alignment error.

Measure signed north–south star movement over time. The configured full imaging train converts detector pixels into sky angle.

Purpose and method

What this calculator does

How far out is my polar alignment? Estimate polar-axis error from measured stellar drift.

In words: Measured drift over time estimates the corresponding polar-axis error.

The saved imaging scale converts measured detector drift into sky drift. Latitude, hour angle, duration and signed pixel movement remain observation-specific.

Working geometry

Polar drift geometry

Alignment error produces a measurable signed drift over elapsed time.

axis errorsigned drift over time

Inputs

Measured drift and geometry

Unit: px
Unit: min
Unit: mm
Unit: µm
Unit: ×
Unit: °
Unit: °

Calculated now

Alignment estimate

Image scale
0.776″ / px
Sky drift rate
1.551″ / min
Azimuth-axis error
9.62′ (positive signed error)
Altitude-axis error
Low sensitivity at this hour angle

Equations

Measured sky drift rate
dsky=dpx⁢st
Small-angle polar error
ε≈dskyω⁢S

For azimuth error, sensitivity S = cos(latitude) cos(hour angle). For altitude error, S = sin(hour angle).

Treat one axis at a time: near the meridian mainly tests azimuth; near six hours east or west mainly tests altitude. Camera orientation determines how a detector direction maps to north or south, so verify the sign before adjusting the mount.