Theory · topic 1 of 10 · 9 min

Charts, chartwork instruments & publications

Offshore the chart is small in scale and nobody checks the plot but you. Know what the projection does to distance, what each publication gives, and how far to trust the plotter.

1 · Mercator and gnomonic

What the projection does to distance and course

How do I measure distance correctly on a Mercator chart?

On the latitude scale level with the leg: Mercator scale grows towards the pole as the secant of the latitude, so the scale in the chart's title holds only at the latitude it names.

On a Mercator chart a straight line is a rhumb line: one true course throughout. The price is scale, which grows towards the pole as the secant of the latitude. Measure distance on the latitude scale level with the leg; the scale in the title holds only at the latitude it names.

Scale by latitude: worked example
  • Chart 1:300,000 at 50°N, landfall at 45°N
  • Scale there: 300,000 × cos 45° ÷ cos 50°
  • = 1:330,000, so 1 mm is 330 m
  • Leg at 48°N read on the scale at 42°N: 50.0'
  • True: 50.0 × cos 48° ÷ cos 42° = 45.0 M

A great circle is a straight line on a gnomonic chart, but that chart keeps no angles. Take points off the line every 5° of longitude, plot them on the Mercator and sail rhumb lines between them. Over a few hundred miles it saves almost nothing.

2 · Latitude and longitude

Course and distance by calculation

How do I calculate course and distance between two positions without plotting them?

By Mercator sailing: tan course = d.long ÷ the difference of meridional parts, and distance = d.lat ÷ cos course. To work a position forward, use mid-latitude sailing, with departure = d.long × cos latitude.

A minute of latitude is a mile; a minute of longitude is a mile only on the equator. East–west miles are departure: d.long × cos latitude. Decimals of a degree are not minutes: 0.25° is 15.0'. On a chart too small to plot on, work the position by mid-latitude sailing, or a long leg by Mercator sailing.

Mid-latitude sailing: worked example
  • From 44°10.0'N 008°30.0'W: 220°T, 100 M
    d.lat 100 × cos 220° = 76.6' S: 42°53.4'N
  • Departure 100 × sin 220° = 64.3 M W
  • Mid-latitude 43°31.7': cos = 0.725
    d.long 64.3 ÷ 0.725 = 88.7' = 1°28.7' W
  • DR 42°53.4'N 009°58.7'W
Mercator sailing: worked example
  • From 48°00.0'N 006°00.0'W
  • To 45°30.0'N 008°20.0'W
  • Mer. parts 3274.4 − 3056.1: DMP 218.3
    tan C = d.long 140' ÷ 218.3: S 32.7° W
  • Course 213°T
  • Distance = d.lat 150' ÷ cos 32.7° = 178.2 M
3 · Scale, folio and datum

How much a millimetre is worth

Which chart should I plot on when two charts of the same area disagree?

On the largest-scale chart that covers the leg: where two charts differ, believe the larger scale. Offshore, carry the plot onto the next chart by latitude and longitude.

Plot on the largest-scale chart that covers the leg; where two charts differ, believe the larger scale. The folio holds, on paper, the passage chart and the approaches and plans of the destination, every port of refuge and any pilotage on the way. Offshore, carry the plot onto the next chart by latitude and longitude.

A horizontal datum shift of 0.08' is 150 m: invisible on the passage chart, 6 mm on a 1:25,000 approach. An old plan sounded to MLWS shows more water than one reduced to LAT. Read the units: 7₃ on a fathoms chart is 7 fathoms 3 feet, 13.7 m.

4 · Chartwork

Instruments, bearings, speed and time

How do I convert a true course to magnetic?

Add westerly variation, subtract easterly: 205°T with 6°W variation is 211°M. Set the variation on a Breton plotter and it is applied for you.

A Breton plotter needs only a meridian or parallel under its grid, never the table's edge; its arrow points the way you go, or you read the reciprocal. Creeping dividers and a bowed plotter falsify every leg: 3° over 60 M is 3 M. Plot lightly in soft pencil. Take hand bearings where a transit has proved the compass.

True to magnetic: add westerly variation, subtract easterly. Set on the plotter, it is applied for you. Light sectors are true, from seaward: convert your bearing first.

Speed and time: worked example
  • 2130 log 512.4 · 0415 log 561.9: 49.5 M
  • 6 h 45 min is 6.75 h, not 6.45 h
  • 49.5 ÷ 6.75 = 7.3 kn
  • Log reads 4% high: 130.0 ÷ 1.04 = 125.0 M
  • 96 M at 8.0 kn = 12 h: leave 1900 BST,
    arrive 0700 BST = 0800 French time
Remember

Minutes are sixtieths, not decimals. A knot is 1.852 km/h.

5 · Offshore symbols

Routes, installations and areas

How close can a yacht go to an oil platform or rig?

No closer than its 500 m safety zone, which rigs and single buoy moorings have too. In fog a platform sounds Mo(U), heard about 2 M off.

Platformwhite Mo(U), red at its ends
Wind farmyellow, flashing together
On the chartFor a yacht
DW routeDeep-draught ships: keep out, or cross at right angles
Precautionary areaShips converge and turn: extra care
Pecked arrowA recommended flow, no lane rule
Area to be avoidedBinds the ships its note names
Platform, rig, SBM500 m safety zone
Cable, wellhead, dumping groundNever anchor
Submarine exercise areaOpen: get the broadcast, keep a lookout

In fog a platform sounds Mo(U), heard about 2 M off. A wind farm has national rules in its chart note: who may transit, and when. Check the blade-tip height against your mast; never anchor among its cables. A fouled cable is slipped, buoyed and reported. An ODAS data buoy is a yellow special mark, Fl(5) Y 20s. A light buoy replacing a lightvessel has a fraction of its range.

6 · Publications and corrections

What to open, and how to keep it current

How far away will I see a lighthouse at night?

At the lesser of two ranges: the geographical range, 2.08 × (√H + √h) miles for heights in metres, and the luminous range, the nominal range cut down by tonight's visibility.

PublicationWhat it gives
Sailing DirectionsCoast from seaward, local rules; passage notes: sets, steep seas, fish farms
List of LightsEach light in full, corrected weekly
List of Radio SignalsNAVTEX and weather schedules, VTS rules
Routeing chartA month's winds, currents, gales; the rose's centre figure: % of calms
Tidal stream atlasHourly pages; 08,15 is 0.8 kn at neaps, 1.5 at springs
AlmanacApply the supplements; check each waypoint on the chart

You see a light at the lesser of two ranges: the geographical, 2.08 × (√H + √h) miles for heights in metres, and the luminous, the nominal range cut down by tonight's visibility. Beyond both there is only the loom.

Corrections before sailing
  • Stamp: corrected to NM Week 31. Now Week 36:
    apply Weeks 32–36 to each chart, log them
  • New Edition published: replace the chart
  • T notices: keep only those still in force
    (P) notices, warnings: pencil, with the number
  • ENC and paper differ: find the notice

Weekly Notices to Mariners correct the charts and, in their later sections, the publications. Navigational warnings stand until cancelled: read the lists for each NAVAREA you cross, plot them in pencil, convert their UTC times.

7 · Electronic charts

Settings that make the plotter worth trusting

How do I set the safety contour on my chart plotter?

Safety contour = draught + squat + half the swell + margin; the plotter then bolds the next deeper contour in the cell. Only an ENC can sound the alarm, not an RNC, which is a picture of the paper chart.

An RNC is a picture of the paper chart; an ENC is data, so only an ENC can sound an alarm, about what you set and what its cells hold.

SettingRule
Safety contourDraught + squat + half the swell + margin; the next deeper contour in the cell is bolded
Safety depthSoundings equal or shallower show bold
Look-aheadSpeed × warning time
Route checkCorridor as wide as your likely set
Safety contour: worked example
  • Draught 2.1 m, squat 0.3 m
  • Swell 1.6 m: allow half, 0.8 m
  • Margin under the keel 1.0 m: total 4.2 m
  • Cell contours 2, 5, 10, 20 m: 5 m is bold
  • General cell, 10, 20, 50 m: 10 m is bold
  • Look-ahead: 18 kn × 10 min = 3.0 M

A contour at the bare draught misses a shoal the troughs uncover; a factory 30 m alarm cries wolf. A leg with no cell is unchecked; the 'Basic' display hides soundings. Overscale: the cell's error, about 0.5 mm at its compilation scale, grows with the zoom: buy the approach cells. At speed, zoom out to see minutes ahead. A plot copied from the plotter checks nothing: keep a DR, cross-check by bearings, depth or radar. No alarm replaces the lookout.

Practice questions

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

Passage chart, Mercator
  • Covers 45°N to 52°N
  • The leg lies at about 50°N
  • Dividers read at 45°N: 66.0'

Your mate measured tonight's leg on the small-scale passage chart, reading the dividers on the latitude scale at the bottom edge. What is the leg's true length?

  1. 60.0 M
  2. 66.0 M
  3. 72.6 M
  4. 42.4 M
Show the answer

A. 60.0 M

Mercator minutes of latitude grow as sec lat: 66.0 × cos 50° ÷ cos 45° = 60.0 M. Measure beside the leg.

Charts — distance on the latitude scale · Explained in: Mercator and gnomonic

Crossing, rhumb line
  • From 50°19.0'N 004°09.0'W (Plymouth)
  • To 48°38.0'N 004°36.0'W (Aber Wrac'h)
  • Mercator chart, true north up

You check the plotter's figures for tonight's Channel crossing against the chart. What course and distance do you lay off?

  1. 195°T, 104.5 M
  2. 010°T, 102.5 M
  3. 190°T, 102.5 M
  4. 170°T, 102.5 M
Show the answer

C. 190°T, 102.5 M

d.lat 101.0' S; d.long 27.0' W × cos 49.5° = 17.5 M W. √(101.0² + 17.5²) = 102.5 M; S 9.9° W = 190°T.

Charts — latitude and longitude · Explained in: Latitude and longitude

Chart notes
  • Passage chart 1:750,000: shift 0.08'
  • Approaches 1:25,000 (old): shift 0.08'
  • Landfall: rocks either side of the entrance

Your passage chart and the older approach chart of your landfall both note that their datum differs from WGS84. Where does it matter on tomorrow's 130 M passage?

  1. Nowhere — 0.08' is under 150 m
  2. Equally on both charts, all the way
  3. At the landfall, on the approach chart
  4. Offshore, where you fix every hour
Show the answer

C. At the landfall, on the approach chart

0.08' ≈ 150 m: 0.2 mm on the 1:750,000, below plotting accuracy; 6 mm on the 1:25,000 — enough to put you on the rocks.

Charts — horizontal datum · Explained in: Scale, folio and datum

Laying off the leg
  • Destination: south-west of departure
  • Plotter grid lined up on a meridian
  • Plotter's arrow points from the
    destination back to departure

Your mate lays the Breton plotter along the leg on the passage chart and calls out 058°. You glance at the chart. What true course goes in the plan?

  1. 238°T
  2. 302°T
  3. 148°T
  4. 058°T
Show the answer

A. 238°T

The arrow must point the way you go: reversed, it reads the reciprocal, 058° + 180° = 238°T — and the leg runs SW.

Chartwork instruments — the plotter · Explained in: Chartwork

On the chart along your route
  • A lane with magenta arrows and DW
  • Note: 'DW route, least depth 28 m'
  • Your yacht: 24 m ketch, draught 3.2 m

Your planned track runs down the lane marked on the chart. What do you do?

  1. Cross it diagonally to save distance
  2. Use it at night only, when it is quieter
  3. Use it — its depths are the best surveyed
  4. Replan to keep out — it is for deep ships
Show the answer

D. Replan to keep out — it is for deep ships

A deep-water route is kept for deep-draught ships; vessels that don't need it should avoid it.

Chart symbols — traffic separation schemes — deep-water routes · Explained in: Offshore symbols

Coastal navigational warning
  • Gunnery firing, 0800–1600 daily
  • Area: four positions, in the warning
  • Your route crosses it about 1100

Tomorrow's route crosses the area in this coastal warning. What do you do?

  1. Wait for the range to call you on VHF
  2. Cross it at full speed, keeping a lookout
  3. Plot the area and route round it while firing
  4. Nothing — warnings are for big ships
Show the answer

C. Plot the area and route round it while firing

A navigational warning defines its area by positions: plot it on the chart and keep out of it at the times given.

Navigational warnings · Explained in: Publications and corrections

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.