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Polar Alignment Calculator — Equatorial Mount Setup

Calculate polar alignment requirements and tolerances for your equatorial tracking mount.

How We Calculate This

The celestial pole altitude equals your geographic latitude, so you set the mount altitude to your latitude. In the northern hemisphere, Polaris sits approximately 0.65° from the true North Celestial Pole (as of 2026), which is why pointing at Polaris alone is not precise enough.

Pole altitude = observer latitude

Star trailing from a polar-alignment error is driven by the sidereal rate (≈15 arcsec/s) acting on the misalignment angle expressed in radians. A 1-arcminute alignment error causes a worst-case declination drift of about 0.262 arcsec per minute of time (≈0.0044 arcsec per second) — measured for a star on the celestial equator near the meridian. The drift is largest at the celestial equator and falls to zero at the pole.

Trail (arcsec) = error (arcmin) × 0.00437 × exposure (s)

The alignment tolerance is the largest error that keeps this trail within an acceptable budget (here ≈2 arcsec, about one pixel for a typical deep-sky rig) over your chosen exposure. Longer exposures therefore demand tighter alignment.

Frequently Asked Questions

Last updated: February 2026

All calculations are estimates based on standard optical and photographic formulas. Results may vary with specific equipment.