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Dead reckoning and estimated position

On chart 3: EP with a tidal diamond

How to think it through

  1. 1You know where you are, course and speed for an hour; you want where you will be, with the chart's real tide.
  2. 2Read the tide at the nearest diamond: the row for the hour from HW Victoria, the rate between neaps and springs.
  3. 3Lay off the water track first (DR), then the tide from its end: the tip is the EP.

Worked example

Every step says why you do it, which formula you use, the working and the answer.

An EP on chart 3, with diamond H

At 13:30 you are at 46°03.6′N 006°15.2′W, near diamond H. You sail for one hour on 040°T at 5.5 kn through the water, no leeway. Today HW Victoria is 11:20, range 2.7 m. Where are you at 14:30?

Start
13:30 · 46°03.6′N 006°15.2′W
True course and speed
040°T · 5.5 kn
HW Victoria · range
11:20 · 2.7 m
Diamond H, row HW+3
293° · 2.0 / 1.1 kn
  1. For the hour 13:30–14:30 (mid-point 14:00), which row of diamond H do you use? (hours from HW Victoria, −6 to +6)

    Why: The chart's tidal stream table is referred to HW Victoria: each row covers the hour centred on it.

    Working: 14:00 − 11:20 = +160 min → row HW+3: 293°, 2.0 kn springs, 1.1 kn neaps

    Answer: 3 h

  2. What is today's rate, between neaps and springs?

    Why: The diamond gives two rates: today's is interpolated with the range at Victoria (springs 4.9 m, neaps 2.4 m).

    Working: (2.7 − 2.4) ÷ 2.5 = 0.12; 1.1 + 0.12 × 0.9 = 1.2 kn towards 293°

    Answer: 1.2 kn

  3. Where would you be after one hour with no tide (DR)?

    Why: The DR is just the water track for the distance run: it is the first side of the triangle.

    Working: DR: 46°07.8′N 006°10.1′W

    Answer: 46°07.8′N 006°10.1′W

  4. Now add the tide: where is the estimated position (EP)?

    Why: In one hour the tide moves the boat its set for its rate: add it to the end of the DR.

    Working: EP: 46°08.3′N 006°11.7′W

    Answer: 46°08.3′N 006°11.7′W

  5. What is the course over the ground (COG) from the start to the EP?

    Why: The line from the start to the EP is the real track over the ground: two arrows.

    Working: COG 027°T, SOG 5.3 kn

    Answer: 027°

Now you try

With the examiner (even from a photo)