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How to Find Latitude with a Noon Sight

The simplest fix in celestial navigation, step by step, with a worked example from sextant reading to latitude.

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A noon sight is the simplest and most reliable fix in celestial navigation. When the Sun crosses your meridian at local noon it reaches its highest point of the day, and its altitude together with its declination from the Nautical Almanac gives your latitude directly. No sight reduction tables and no exact time are needed. Offshore, it is the classic daily check of your position.

What you need

Step 1: work out when local noon will be

The daily page of the almanac gives the time of the Sun's meridian passage at Greenwich, for example 12:06. That is local time on any meridian; to turn it into UTC, add your longitude in time if you are west of Greenwich and subtract it if you are east. One degree of longitude is four minutes of time.

Example: meridian passage 12:06, DR longitude 18°30′ W. 18.5° × 4 = 74 minutes, so noon comes at about 13:20 UTC. The sextant calculator converts arc to time for you.

Step 2: take the sight

Be ready 10 to 15 minutes early. Bring the Sun's lower limb down to the horizon and keep it there as the Sun climbs, rocking the sextant to make sure it is vertical. The altitude rises more and more slowly, seems to hang for a minute or two, and then starts to fall. The highest reading is your meridian altitude. You do not need the exact time of it: latitude comes from the altitude alone.

If the boat is moving fast north or south, the Sun's highest point shifts slightly away from the true meridian passage. For a sailing yacht the error is small.

Step 3: correct the sextant altitude

Example: sextant altitude Hs 52°18.4′, index error 2.0′ off the arc, height of eye 3 m, Sun's lower limb, semi-diameter 15.8′.

CorrectionValueAltitude
Sextant altitude Hs52°18.4′
Index error (off the arc: add)+2.0′52°20.4′
Dip, 3 m height of eye−3.0′Ha 52°17.4′
Refraction−0.8′52°16.6′
Semi-diameter, lower limb+15.8′52°32.4′
Parallax+0.1′Ho 52°32.5′

The sextant altitude correction calculator does these steps for any sight, including the upper limb, the Moon and stars.

Step 4: from altitude to latitude

Subtract the observed altitude from 90° to get the zenith distance: 90° − 52°32.5′ = 37°27.5′. Then take the Sun's declination from the almanac for the time of the sight, here 14°31.6′ N, and combine the two:

Count northern declination and latitude as positive and southern as negative. In the example the Sun bore south, so latitude = 37°27.5′ + 14°31.6′ = 51°59.1′ N.

A check in the southern hemisphere: in latitude 30° S with the Sun at declination 20° N, the Sun is north of you and the zenith distance is 50°; 20° − 50° = −30°, that is 30° S.

Getting an accurate result

With care, a noon sight from a small boat is usually good to a mile or two, enough to confirm or question the GPS and the logbook.

Frequently asked questions

Do I need the exact time for a noon sight?

No. Latitude comes from the highest altitude and the declination. The time only tells you when to start observing and which hour's declination to use.

Can I get longitude from a noon sight?

Only roughly. The time of the highest altitude gives longitude, but the Sun hangs at the top for minutes, so the time is uncertain. Navigators use timed sights before and after noon, or a running fix, for longitude.

Why is the noon sight still taught?

It needs no sight reduction tables, only the almanac and simple arithmetic, so it is the easiest celestial fix to learn and a dependable backup when electronics fail.

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