Theory · topic 2 of 10 · 9 min

The compass, position lines & fixes

Offshore every heading and bearing passes through a compass you must trust; a fix is as good as its worst line.

1 · The steering compass

Lubber line, liquid, variation

How do I bring the variation on an old chart up to this year?

Multiply the rose's annual change by the years since its date and apply it: 4°10'W in 2016, changing 8'E a year, is 2°50'W in 2026.

A compass reads the heading if its lubber line is parallel to the fore-and-aft line. A bubble makes the card stick and jump: cross-check against another compass, refill ashore. After a hard turn the liquid drags the card; log the heading once it settles. Keep gear outside its compass safe distance; a loudspeaker needs the most.

Variation comes from the nearest rose or, on a small-scale sheet, the isogonic line, updated by its annual change; a long leg crosses several. Heeling error, iron below the compass tilting with the boat, is largest heading north or south: check the deviation heeled.

Variation brought up to date
  • Rose: 4°10'W 2016 (8'E)
  • 2026: 10 years × 8' = 1°20' less westerly
  • Variation now 2°50'W
  • Old chart: 1°30'W 2010 (9'E)
  • 16 years × 9' = 2°24': 0°54'E
  • It has passed through zero
2 · Deviation

The swing and the card

How do I check my compass deviation at sea?

On a steady heading, compare the compass with a known magnetic direction: a transit, the sun's or Polaris's tabled azimuth, or a satellite compass, never COG. A compass reading low has easterly deviation.

Deviation is the boat's own magnetism; it changes with the heading, so the card lists it heading by heading, and each compass has its own. Find it on a steady heading against a known magnetic direction: a transit, the sun's or Polaris's tabled azimuth, a satellite compass; never COG, which a current sets off the heading. A compass reading low has easterly deviation.

Deviation by azimuth: worked example
  • Heading steady 165°C; sun over the pin 119°C
  • Tabled azimuth 118°T + variation 4°W = 122°M
  • Compass reads 3° low: deviation 3°E on 165°C
  • Swing on a far peak: mean of 8 bearings 222°
  • That mean is magnetic; on 090°C it read 218°
  • Deviation 4°E there; on 270°C, 226°: 4°W

Large deviation calls for an adjuster and a new swing. A steel hull changes her magnetism after a winter bow-north, welding or hours on one heading; new wiring or instruments by the compass change it too: swing again. On steel take bearings over the steering compass. A fresh check that disagrees with the card is logged and used.

3 · Electronic heading

Fluxgate, satellite compass, COG

Can I use GPS COG instead of a heading sensor for radar overlay?

No: COG is your track over the ground, not a heading, so it is no good for radar overlay or MARPA. A satellite compass gives true heading, even stopped.

SourceGivesWeakness
Magnetic compassMagnetic heading, no powerDeviation
FluxgateMagnetic headingIron, cables, tilt in a turn
Satellite compassTrue heading, even stoppedJamming
GNSS COGTrack over the groundNot a heading: no good for overlay or MARPA

Calibration circles take out a fluxgate's deviation, not an alignment error: set the offset after a transit check. Mount it low, central, clear of iron. A satellite compass needs no card and feeds autopilot, radar and AIS. The magnetic compass keeps its card and, under jamming, is the only heading left.

4 · Position lines

What each line tells you

In what order should I take bearings for a three-point fix?

Slow-changing bearings ahead and astern first, the beam one last, with the lines crossing near right angles. A cocked hat the size the errors give is honest: treat it as an area.

A position line fixes you across itself, not along it: a bearing of the light ahead checks the cross-track error, a contour across the track checks the distance run, a sounding helps where contours cross your line. Take bearings near right angles, slow-changing ones ahead and astern first, the beam one last. 3° at 20 M is 1 M.

LineTrust
Radar range (VRM)±0.05 M off steep charted targets
Radar bearing±1–2°; head-up adds the heading; land paints half a beamwidth wide
Transit · raconWeak beyond 3× the spacing · range to the flash's inner end
Compass bearingSame deviation in each: the same cocked hat every time

A cocked hat the size the errors give is honest: treat it as an area. Horizontal sextant angles need no compass. Fix on charted lighthouses, not aero lights or flare stacks; AIS targets come from your own GNSS. A soft echo far down is plankton; soundings at equal intervals, on tracing paper slid over the chart, fix you offshore.

5 · Running fixes and bow angles

Two bearings of one mark

How do I get a fix from two bearings of the same light?

By a running fix: take a bearing, run on, take a second, and move the first line along the ground run, water legs and stream added as vectors. Where the lines cut is the fix.

With one mark: a bearing, a run, a second bearing, and the first line moved by the ground run: water legs and hours of stream added as vectors. A range circle moves by its centre, a contour likewise. The fix is as good as the run: 0.4 kn of doubt over 2.5 h is 1 M.

Running fix with stream
  • 0100: light bears 050°T
  • Water track 080°T, 8.0 kn, 2 h: 16.0 M
  • Stream 170°T 1.0 kn, 2 h: 2.0 M
  • Ground run: 16.1 M along 087°T
  • Move the 0100 line 16.1 M along 087°T
  • 0300: light bears 330°T; the cut is the fix
Bow anglesDistance off
22½° → 45°At 45°: the run; abeam 0.7 × run
26½° → 45°Abeam: the run
45° → abeamThe run

They need the ground run on a steady course: a stream along the track goes into the run; a cross-set breaks them: plot.

6 · Rising lights and landfall

Rising range and distance off

At what distance will a lighthouse rise above the horizon?

At its rising range, 2.08 × (√H + √h) miles with heights in metres, within its nominal range. The charted height is above MHWS, so at low water add the tide's fall.

A light rises at 2.08 × (√H + √h) miles, within its nominal range; its charted height is above MHWS, so add the tide's fall at low water. Seen only from the crests, it is on your horizon, at its rising range. Abnormal refraction shows it far beyond. Card each expected light: characteristic, rising range, bearing. One 15–20° off may still be yours if the EP is miles out: time it. Nothing after rising time: an obscured sector. A colour change puts you on the sector's edge.

Rising range and distance off
  • Light 40 m above MHWS; MHWS 5.0 m; tide 2.0 m
  • H = 40 + 3.0 = 43 m; height of eye 4 m
  • Rising range 2.08 × (√43 + √4) = 17.8 M
  • 24 M to go at 11 kn: it rises in 34 min
  • Vertical sextant angle 0°20.0' of the 43 m:
    1.854 × 43 ÷ 20.0 = 4.0 M off

A vertical sextant angle, light to the shoreline below it, gives 1.854 × H ÷ angle in minutes, index error applied, tide added to H.

7 · Trust and record

Believing a fix, recording it

How do I check that my GPS position is right?

Against something independent: depth, radar, lights or, offshore, the EP from the last fix. Plotter, AIS and DSC share one receiver, so their agreement proves nothing.

Plotter, AIS and DSC share one receiver: their agreement proves nothing; nor does HDOP without RAIM. Cross-check against depth, radar, lights or, offshore, the EP from the last fix. Jumps, a frozen speed or a wrong date mean spoofing: back to DR from the last non-GNSS fix. A visual fix 0.5 M from the GNSS at 20 M agrees; hand bearings beside steel share one error.

Fix hourly in open water, and before the EP's doubt, about 10% of the run, reaches half the gap to a bank. Keep a single line: plot it with its time, log the bearing and the log.

On the chartIn the log
Circle with a dotFix: time, position, method, log
TriangleEP: log, compass, stream, leeway
Line with its timeOne line: bearing and log

Practice questions

Questions from this topic, as the app asks them. Open one to see the answer.

Flybridge steering compass
  • 22 m motor yacht
  • Compass 1.2 m to starboard of the centreline
  • Lubber line: to be checked before sailing

You are taking over a 22 m motor yacht whose flybridge compass sits 1.2 m to starboard of the centreline. What must be true for it to read her heading?

  1. Its lubber line is parallel to the fore-and-aft line
  2. It is moved onto the centreline before you sail
  3. A small offset is added to every heading read
  4. Its lubber line points straight at the stem head
Show the answer

A. Its lubber line is parallel to the fore-and-aft line

A compass reads the heading anywhere aboard if its lubber line is parallel to the keel; aiming it at the bow from off-centre builds in an error.

Compass — lubber line · Explained in: The steering compass

Azimuth check, 1040
  • Heading steady on 165°C
  • Sun over the shadow pin: 228°C
  • Tabled azimuth now: 227°T
  • Variation 3°W

Forty miles offshore you check the steering compass with the sun's bearing over its shadow pin. What is its deviation on this heading?

  1. 2°E
  2. 2°W
  3. 1°W
  4. 4°W
Show the answer

A. 2°E

Sun 227°T + 3°W = 230°M; the compass reads 228°, 2° low, so deviation is 2°E (C + dev = M).

Compass — deviation by the sun's azimuth · Explained in: Deviation

Radar overlay and MARPA
  • Heading source set: GNSS COG
  • No fluxgate or satellite compass
  • 4 kn with a 2 kn cross-tide
  • COG 25° off the bow

You set up the radar overlay and MARPA like this, and the targets plot in the wrong places. What do you fix?

  1. Set the plotter display to north-up
  2. Slow down so that the COG steadies
  3. Turn up the radar gain until they settle
  4. Fit a heading sensor — COG is not the heading
Show the answer

D. Fit a heading sensor — COG is not the heading

Overlay and MARPA need the boat's heading; COG is her track over the ground, here 25° off the bow in the cross-tide.

Compass — heading sensors · Explained in: Electronic heading

Making a night landfall, this bearing of the light ahead is your only position line. What does it give you?

  1. Nothing until a second light comes up
  2. How far to go, not whether you are on track
  3. A fix, once you add the log reading to it
  4. Whether you are on track, not how far to go
Show the answer

D. Whether you are on track, not how far to go

A bearing along your track checks the cross-track error only; distance to go needs a line that cuts across it.

Position lines — a single line · Explained in: Position lines

Running fix, 2200 to 0100
  • Water track 250°T at 9.0 kn, no leeway
  • Stream 2200–2300: 010°T 1.2 kn
  • 2300–0000: 030°T 0.8 kn
  • 0000–0100: 200°T 0.6 kn

You work a running fix on one light from 2200 to 0100 in this stream. How do you transfer the 2200 position line?

  1. 27.8 M along 248°T
  2. 27.0 M along 250°T
  3. 25.4 M along 257°T
  4. 26.2 M along 252°T
Show the answer

D. 26.2 M along 252°T

Water track 27.0 M on 250°T plus three hours of stream (010° 1.2, 030° 0.8, 200° 0.6) gives the ground run: 26.2 M on 252°T.

Running fix — with tide · Explained in: Running fixes and bow angles

Light list extract
  • Fl(4) 20s, height 64 m
  • Nominal range 24 M
  • Your height of eye 3.0 m
  • Range = 2.08 × (√H + √h) M, in metres

You are watching for this light from the cockpit of a 22 m sailing yacht. At what distance do you expect it to rise?

  1. 17.0 M
  2. 16.6 M
  3. 20.2 M
  4. 11.4 M
Show the answer

C. 20.2 M

2.08 × (√64 + √3.0) = 2.08 × (8 + 1.73) = 20.2 M, inside the 24 M nominal range, so it rises there.

Position lines — rising lights · Explained in: Rising lights and landfall

Practise it

All 100 questions of this topic are in the app: practice by topic with the reason after every answer, your mistakes brought back, and a timed mock exam. Free, no sign-up, in the browser or in Telegram.