Using a Sextant

The Instrument That Connects You to the Sky

Sextant Mechanics — How It Actually Works

A sextant measures the angle between two objects — typically a celestial body and the sea horizon. It does this using two mirrors and a precisely machined arc. The index mirror is mounted on the movable index arm, pivoting around the center of the instrument. The horizon mirror is fixed, half-silvered: the top half reflects, the bottom half is clear glass. The observer looks through the telescope at the horizon through the clear half of the horizon mirror, while the index mirror reflects the celestial body down into the silvered half.

When the index arm is moved along the arc, the index mirror tilts, raising or lowering the reflected image of the body. When the reflected image of the body appears to sit exactly on the visible horizon, the angle on the arc is the sextant altitude (Hs). The key property that makes this work — and makes the sextant far more accurate than a simple protractor — is the law of reflection: because the angle of incidence equals the angle of reflection, the angle on the arc is exactly half the angle between the two lines of sight. The arc is graduated to account for this factor of two.

The main arc is graduated in whole degrees, typically from −5° to 120° or more. The micrometer drum (or vernier, on older instruments) reads the minutes within each degree. A standard drum reads to 1 arcminute, with the vernier or digital readout adding tenths of a minute (0.1'). A careful observer can read to 0.1' with practice — that's 6 arc-seconds, corresponding to about 185 meters of position error at the equator.

Optical filters — shade glasses — attach to the index arm (for viewing the body) and to the horizon mirror (for reducing horizon glare). Never look at the Sun through a sextant without shade glasses on the index arm. For the Sun, you typically use two or three shade glasses stacked; for stars and planets, no shades are needed.

Diagram of a sextant showing the optical path from the index mirror through the horizon mirror to the eye, with the arc and micrometer drum labeled
The optical path of a sextant. Light from a celestial body reflects off the index mirror, then off the half-silvered horizon mirror to the telescope. Light from the horizon passes directly through the clear half of the horizon mirror. The angle between the two images equals the altitude of the body.
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When you first pick up a sextant, set the index arm to 0° and look at the horizon. The direct and reflected images of the horizon should form a perfectly straight, unbroken line. Any misalignment at this point is your index error — record it before every session, not just once.

Sextant Mechanics Check 2 Questions

Why is the sextant arc graduated so that the reading equals the full angle between the two lines of sight, rather than half the mirror angle?

What is the function of the half-silvered horizon mirror in a sextant?

Taking a Sight — Technique and Common Errors

Body identification comes first. Know which body you intend to observe before bringing the sextant to your eye. For the Sun, identification is obvious. For stars and planets at twilight, you need to know which bright objects are which — a star finder like HO 229 volume 1, a star chart, or a planning app will show you which stars will be above the horizon during evening or morning twilight and in which direction to look. Set the sextant to approximately the body's altitude before searching — it's faster than scanning from zero.

The rocking technique: Once the body is in view in the sextant, rotate ('rock') the sextant slightly from side to side around the line of sight. As you rock, the body traces an arc — the lowest point of that arc is the true altitude measurement. This works because if the sextant is tilted off-vertical, the body appears higher than the true altitude; rocking finds the minimum, which is the correctly-vertical measurement. A body at the bottom of its rocking arc is properly centered in the vertical plane.

Timing the sight: For a body that is rising or setting quickly (which is everything except Polaris at high latitude), you call 'mark' at the exact moment the body touches the horizon while rocking. Your assistant records the time to the nearest second. Alternatively, note the time yourself immediately after calling mark — practice makes this fast. Write down arc degrees, drum minutes (and tenths), and time (to the second) before moving from your position.

Common errors: The most frequent mistake is rocking on the wrong axis — rotating around the arc instead of the line of sight. This doesn't find the minimum and produces high readings. Another error is not having the horizon mirror perpendicular to the plane of the instrument (side error) — this causes the horizon to appear at an angle in the mirror. A third mistake is observing too low (below 10°) where refraction dominates. Finally, recording the time before reading the arc, or vice versa, risks mixing up observations in a busy workbook.

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If you're taking morning star sights, set up in advance: look up altitude and bearing for each planned star, preset the sextant drum to the expected altitude, and know which direction to point. At nautical twilight the horizon and stars are both visible for roughly 20–30 minutes — short enough that preparation makes the difference between three good sights and a frustrating scramble.

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Never look at the Sun through the telescope without shade glasses mounted on the index arm. Solar glare will damage your eyesight faster than you expect, and the damage is cumulative. Even an overcast sky can transmit enough solar radiation through the optics to cause harm. When in doubt, add an extra shade glass.

Sight-Taking Technique Check 2 Questions

What is the purpose of rocking the sextant from side to side during an observation?

When taking star sights at twilight, why should the sextant be preset to the expected altitude before searching for the star?

Index Error — Finding It, Understanding It, Applying It

Index error (IE) is the reading on the arc when the two images of the horizon form a perfectly straight line. If that happens at exactly 0° 00.0', there is no IE. In practice, almost every sextant has some IE, and a well-maintained instrument typically has less than 3 arcminutes. IE is not a defect — it is a known, stable, measurable characteristic that you correct for mathematically.

Testing IE against the horizon: Set the arc to zero, look at the horizon through the telescope, and use the micrometer drum to bring the direct and reflected horizon images into a perfectly straight, unbroken line. If you have to move the drum forward (onto the arc, increasing the reading) to align the images, the IE is on the arc (positive) and is subtracted from all sights. If you move the drum backward (off the arc, below zero) to align, IE is off the arc (negative) and is added.

Testing IE against the Sun: Set the sextant near 0° and look at the Sun. You'll see two images of the Sun in the eyepiece — one direct, one reflected. Bring the two Suns into exact tangency (touching edge-to-edge, lower edge of reflected touching upper edge of direct, or vice versa), then rock and average the two positions. This method is more precise than the horizon method because the Sun's disc gives a sharper reference than the horizon.

IE should be checked at the start of every sight session and recorded. If IE is stable (same value over days or weeks), the instrument is healthy. If IE drifts significantly between sessions, the index mirror may be loose or the instrument may have been dropped. A small, consistent IE — say 2.1' on the arc — is perfectly acceptable. Record it and subtract it every time.

View through a sextant eyepiece showing the horizon split in the horizon mirror, with the direct and reflected images slightly misaligned to illustrate index error
Index error visible through the eyepiece. When the direct horizon (lower, through the clear glass) and reflected horizon (upper, in the silvered half) don't form a continuous straight line at 0°, the sextant has index error. In this example the reflected horizon sits above the direct — the IE is 'on the arc' and is subtracted.
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The navigator's mnemonic for applying IE: 'On, off; off, on' — if IE is on the arc, take it off (subtract); if IE is off the arc, put it on (add). This is just a memory aid for the sign convention. Write the IE value with its sign in your sight form and let the form do the arithmetic.

Index Error Check 2 Questions

A sextant is set to 0° and the navigator aligns the horizon images. The drum reads 0° 02.4' on the arc (past zero). What is the IE and how is it applied?

Why is the Sun method for measuring IE generally more precise than the horizon method?

Sextant Care and Maintenance

A sextant is a precision optical instrument. The tolerances that allow it to measure angles to 0.1 arcminute are built into its components at the factory and maintained only by careful handling. Dropping a sextant even once can shift mirror alignment, distort the arc, or crack the arc gearing. Transport it only in its box, with the box secured against motion when underway. At anchor, the box belongs in a locker — not on the chart table where it can slide off.

Plastic sextants (Davis Mark 15 and similar) are functional, affordable instruments well-suited to learning and to backup use. They are less subject to corrosion than brass but are more vulnerable to arc distortion if dropped, and their mirrors are typically less precisely aligned from the factory. Brass/aluminum sextants (Astra III, Tamaya, Freiberger) are professional instruments with finer optics and more durable arc and gearing. They cost more but hold their calibration better over time.

Arc error is a systematic error across the arc — the instrument reads differently at different altitudes. A good sextant has arc error of less than 0.2 arcminutes across its range. Arc error is tested with a specialized autocollimator at a repair facility or by comparison with a known-accurate instrument. It cannot be corrected by the navigator — an instrument with significant arc error needs professional service.

Cleaning the mirrors: Use only clean, soft cotton or the lens tissue provided, with a small amount of lens-cleaning solution. Never use paper towels or abrasive materials. Clean in circular motions, not strokes, to avoid streaks. The silvering on sextant mirrors can corrode in a marine environment — if you see brown edges or pitting on a mirror, the instrument needs re-mirroring. Telescope lenses collect salt spray and need cleaning after every offshore passage. A fogged lens reduces contrast and makes star sights significantly harder.

When to send for overhaul: A sextant showing unstable IE (changing significantly between sessions without having been handled roughly) likely has a loose mirror. Arc error greater than 0.3 arcminutes is unacceptable for serious navigation. If the rack-and-pinion mechanism is stiff or has backlash (play in the drum), the instrument needs service. A good marine sextant, properly maintained, should serve decades without needing more than cleaning and occasional mirror replacement.

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After every offshore passage, remove the sextant from its box, clean all optical surfaces and the arc, apply a very thin film of protective oil or wax to the arc teeth and pivot, and verify IE against the horizon. Make this part of your arrival routine, just like checking rigging and bilges. Postponing sextant maintenance means discovering problems on the next departure, not in port.

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Never store a sextant in a sealed box in a hot environment (such as a car in summer or a closed cabin in the tropics). Heat can expand components differentially, distort the arc, and degrade mirror coatings. Store in a cool, ventilated location with the box lid open when the vessel is at rest in hot weather.

Sextant Care Check 2 Questions

A navigator notices that index error changes by 1.5 arcminutes between morning and evening sight sessions without the sextant having been dropped. What is the most likely cause?

What distinguishes 'arc error' from 'index error' in a sextant?

Summary

A sextant measures the angle between a celestial body and the horizon using two mirrors; the arc scale reads the true altitude directly because the reflected beam moves through twice the mirror angle.

The rocking technique — swinging the sextant side to side — finds the lowest point of the body's arc, confirming the instrument is held truly vertical for an accurate altitude measurement.

Index error is the sextant's reading when the horizon images are aligned at 0°; 'on the arc, subtract; off the arc, add' is the rule for applying IE to every sight.

IE should be checked at the start of every sight session; an IE that drifts between sessions indicates a loose mirror requiring repair.

Arc error — a systematic error varying across different altitudes — cannot be corrected by the navigator and requires professional service if significant.

Sextant care requires soft lens tissue for optics, protective oil on the arc, storage away from heat, and a post-passage inspection after every offshore leg.

Key Terms

Index Mirror
The movable mirror on the sextant's index arm that reflects light from the celestial body down to the horizon mirror. Its angle relative to the instrument determines the altitude reading.
Horizon Mirror
A fixed, half-silvered mirror on the sextant's frame. The clear half lets the observer see the horizon directly; the silvered half shows the reflected image of the celestial body.
Arc
The graduated scale on the bottom of the sextant, typically from −5° to 120°+, from which whole degrees of altitude are read.
Micrometer Drum
The fine-adjustment wheel on a modern sextant that reads minutes (and tenths) within each whole degree. Rotates the index arm precisely along the arc.
Index Error (IE)
The sextant reading when the two horizon images are perfectly aligned at the nominal 0° setting. On the arc = subtract from Hs; off the arc = add to Hs.
Arc Error
A systematic, position-dependent error along the sextant's arc — the instrument reads differently at different altitudes. Requires professional testing and cannot be self-corrected.
Rocking Technique
Rotating the sextant around the line of sight during observation to find the minimum altitude, confirming the instrument is held in the true vertical plane.
Shade Glasses
Optical filters attached to the index arm and horizon mirror of a sextant to reduce glare. Sun sights require index arm shade glasses to protect eyesight.
Side Error
Sextant error caused by the horizon mirror not being perpendicular to the plane of the instrument. Visible as a tilted horizon image; adjustable with the horizon mirror adjustment screw.

Using a Sextant — Lesson Quiz

5 Questions Pass: 75%
Question 1 of 5

When you rock a sextant from side to side during a Sun sight, the Sun traces an arc in the field of view. Which point of that arc gives the correct altitude?

Question 2 of 5

A sextant is set to 0°. The navigator finds that the horizon images align when the drum is moved 1.8' off the arc (below zero). What IE correction applies to a Hs of 47° 22.5'?

Question 3 of 5

What is the primary optical advantage of a sextant over a simple protractor or inclinometer for measuring celestial altitudes?

Question 4 of 5

Why must shade glasses be mounted on the index arm (not just the horizon mirror) when taking a Sun sight?

Question 5 of 5

A navigator's sextant has index error of 2.6' on the arc. Hs for a star sight = 33° 48.3'. Height of eye = 9 ft; Dip = −2.9'. Altitude correction (star, Ha ≈ 33°) = −1.5'. What is Ho?

References & Resources