Theory · topic 7 of 10 · 7 min

Compass checking & satellite navigation

Mid-ocean there is no transit to check the compass against: you use the Sun and the stars. When the satellites fail, that checked compass, the log and the sextant bring you in.

1 · Compass error

Variation plus deviation

How do I work out compass deviation from a true bearing?

Find the compass error, true minus compass, then subtract the variation for your position: what is left is the deviation. Count east as plus and west as minus.

The compass error is the difference between a true bearing and the same bearing by compass. It is the sum of variation, which belongs to the place, and deviation, which belongs to the boat on that heading. Count east as plus, west as minus.

263°C + 2°E − 16°W = 249°T.

Take the variation for your DR position from the pilot chart's isogonic lines or the chart's rose, corrected for the annual change; it alters by degrees across an ocean. Subtract it from the error: what is left is the deviation.

Rule

Error = true − compass. Compass least, error east; compass best, error west. Deviation = error − variation.

2 · Amplitude

The Sun's bearing as it rises or sets

How do I check my compass with the rising or setting Sun?

Compare its compass bearing with the true bearing from its amplitude, the angle from due east or west: sin Amp = sin Dec ÷ cos Lat, no time needed. Take it with the Sun's centre on the celestial horizon.

The amplitude is the angle between the rising or setting Sun and due east or west. It needs only latitude and declination, not the time: sin Amp = sin Dec ÷ cos Lat. Name it E at rising or W at setting, then N or S like the declination: in either hemisphere the Sun rises and sets towards the name of its declination.

Sunrise at 40°N with declination N10°: the Sun bears 077°T.

Sunrise amplitude
  • Lat 40°N, Dec N10°
    sin Amp = sin 10° ÷ cos 40° = 0.227
  • Amp E13°N: 090° − 13° = 077°T
  • Sun by compass 085°C: error 8°W
  • Variation 11°W: deviation 3°E

Take the bearing with the Sun's centre on the celestial horizon: its lower limb then stands about half a diameter above the visible horizon. Near the equator the amplitude equals the declination; it grows with latitude, and in high latitudes the slanting Sun makes a late bearing degrees out. At the equinoxes it rises due east everywhere.

3 · Azimuth

A bearing at any time, of any body

How do I check the compass by the Sun at any time of day?

Compare the compass bearing with the Sun's azimuth, Zn, worked from latitude, declination and LHA in the PZX triangle, so you need the time to the minute. Best take it low, under about 30°.

At any other moment the body's true bearing is its azimuth, Zn: the angle at your zenith in the PZX triangle, worked from latitude, declination and local hour angle (LHA = GHA − west longitude, or + east). So you need the time to the minute. LHA over 180° puts the body east of you.

Tables give ZLHA over 180°LHA under 180°
North latitudeZn = ZZn = 360° − Z
South latitudeZn = 180° − ZZn = 180° + Z

Choose a low body, under about 30°: a high one is hard to sight across the compass, and near the zenith its bearing swings fast. Stars and planets serve at twilight; for their amplitude take the bearing a Sun's diameter above the horizon. Polaris bears within about 1° of north in low and middle latitudes, but is out of sight south of the equator; there the Southern Cross bears 180°T when its long axis is vertical.

4 · Deviation log

One heading, one deviation

Does compass deviation change when I change tack or heading?

Yes: a deviation holds only for the heading and heel it was found on, so record it by heading and tack in a deviation log. After a gybe it is unknown until checked again.

A deviation holds only for the heading it was found on, and for that heel: log it by heading and tack. After a gybe it is unknown until checked again. A sudden jump means steel or electronics stowed near the compass.

Ship's headDeviation
000°C2°E
090°C5°W
180°C2°W
270°C5°E

To swing the compass at sea, steer each heading in turn and bear the Sun on each, with a fresh azimuth for every bearing, since the Sun moves degrees in half an hour. Between headings interpolate: on 045°C this card gives about 1½°W. Steer by the card; leave the corrector magnets to an adjuster in port.

A fluxgate compass also feels the boat's magnetism: run its calibration turns, then compare it with the steering compass. A satellite compass has no deviation but dies with the GNSS signal; only the magnetic compass needs no power.

5 · GNSS

Good to metres, until it is not

How can I tell if my GPS is being jammed or spoofed at sea?

Jamming loses the fix on every receiver at once, since GPS, Galileo, GLONASS and BeiDou share one band. Spoofing gives a plausible position that the log and radar disagree with.

A receiver finds its range from each satellite by the signal's travel time; three ranges and its own clock error need four satellites. Bunched satellites give a high HDOP, a poor fix. GPS, Galileo, GLONASS and BeiDou together improve the geometry, but share one band: a jammer blocks them all.

What you seeWhat it means
All receivers lose the fix at onceJamming
A plausible position, but log and radar disagreeSpoofing
Plotter lost, handheld fineThe shared antenna or its cable
Two sets disagreeA third decides: DR or a sight

The fix may be right and the chart wrong: an old survey can put a reef a mile out. Log position, course and distance every hour, take a daily sight, and keep a handheld GPS with sealed spare batteries; in lightning, into the oven, unplugged.

AIS repeats the other ship's own GPS. A steady compass bearing is a risk of collision, whatever the AIS says.

6 · EPIRB and satcom

Satellites that carry your messages

How long should I leave my EPIRB switched on after activating it?

Until you are picked up: a 406 MHz EPIRB alerts an MRCC through the Cospas-Sarsat satellites, but rescuers home on its 121.5 MHz signal. The Return Link light only confirms the alert was received.

A 406 MHz EPIRB sends its identity through the Cospas-Sarsat satellites to an MRCC, so register it to you and this boat. With built-in GNSS it sends your position within minutes. Rescuers home on its 121.5 MHz signal, so leave it on until you are picked up. The Return Link light only confirms receipt of the alert.

False alert
  • Switch the EPIRB off
  • Call an MRCC at once
  • Give the beacon's hex ID,
    the boat's name, position and time
  • Say that all is well
SystemSatellitesLimits
IridiumLow polar orbits, whole globeNeeds open sky
InmarsatGeostationary over the equatorLost beyond about 75°; the rig can mask it

Without satcom only HF reaches mid-ocean: high-seas bulletins and weatherfax. A passing ship will relay a routine message.

Practice questions

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

Landfall, the Azores
  • Two charted lights in transit: 248°T
  • Over the steering compass: 252°C
  • Chart: variation 7°W

Making landfall in the Azores, you steer along this transit. What deviation do you log for this heading?

  1. 3°E
  2. 3°W
  3. 11°W
  4. 4°W
Show the answer

A. 3°E

A transit needs no almanac: error = 248° − 252° = 4°W; deviation = error − variation = 4°W − 7°W = 3°E.

Compass error, variation & deviation · Explained in: Compass error

Sunrise amplitude
  • ARC route, 16°N 32°W
  • Clear eastern horizon, light trade wind
  • Hand-bearing compass at the ready

You plan a compass check by amplitude at sunrise on the ARC route. At which moment do you take the Sun's bearing?

  1. Lower limb half a diameter above the visible horizon
  2. Upper limb just clearing the visible horizon
  3. Sun's centre about 5° above the visible horizon
  4. Lower limb just touching the visible horizon
Show the answer

A. Lower limb half a diameter above the visible horizon

The amplitude is for the Sun's centre on the celestial horizon: with refraction and dip, the lower limb then shows about half a diameter up.

Compass check — amplitude · Explained in: Amplitude

Morning sun, 10 February
  • DR 25°N 20°W, Canaries to Cape Verde
  • Almanac: Dec S14°20′
  • LHA of the Sun 315°

You take the Sun's bearing mid-morning for a compass check. Which true azimuth do you compare it with?

  1. 233°T
  2. 053°T
  3. 307°T
  4. 127°T
Show the answer

D. 127°T

Zn = atan2(−cos Dec sin LHA, cos Lat sin Dec − sin Lat cos Dec cos LHA) = 127°; LHA over 180° puts the Sun in the east.

Compass check — azimuth · Explained in: Azimuth

Deviation log, day 6
  • 0730: amplitude on 260°C, deviation 1°E
  • 1100: wind veers, you gybe onto 200°C
  • No check yet on the new heading

In the trades you gybe onto a new heading. What do you now take as the deviation?

  1. 1°E — it was found only this morning
  2. 1°W — it reverses after a gybe
  3. 0° — deviation is negligible at sea
  4. Unknown until you check it on 200°C
Show the answer

D. Unknown until you check it on 200°C

Deviation changes with the ship's head: a value found on 260°C does not hold on 200°C — check again or use the card for that heading.

Compass — the deviation log · Explained in: Deviation log

GNSS status page
  • Satellites tracked: 3
  • Status: searching — no fix
  • Antenna clear of the rig, open sky

You switch on the backup GPS mid-ocean and see this. Why is there no position yet?

  1. It needs a fourth satellite to solve its clock error
  2. Three satellites give only a line, not a point
  3. It needs one satellite in each quadrant of the sky
  4. It needs six — two for each of three axes
Show the answer

A. It needs a fourth satellite to solve its clock error

Each satellite gives a range from the signal's travel time; with the receiver's clock unknown, three ranges and the clock need four.

Satellite navigation — GNSS · Explained in: GNSS

Message from home, day 9
  • Family: 'We see you on a tracking website'
  • Nearest ship on your AIS: none for 2 days
  • 1,100 M from the nearest land

Mid-Atlantic, your family sees your AIS position online. How does it reach them?

  1. Ships within VHF range relay it by DSC
  2. Satellites pick up your AIS signal and relay it
  3. Your EPIRB transmits it every six hours
  4. Your AIS sends it by HF radio every hour
Show the answer

B. Satellites pick up your AIS signal and relay it

Satellites in orbit receive AIS transmissions and pass them ashore; ships still see you only within VHF range, some 20 M.

Satellite communications at sea · Explained in: EPIRB and satcom

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.