How to Calculate Courses and Distances at Sea

You will learn about how to calculate courses and distances by plane sailings, parallel sailings, Mercator sailings, great circle sailings and composite great circle sailing.

Each calculation features a “how to” guide and a worked example video for each question type.

You will also learn about the magnetic and gyro compass.

This online training for Deck Cadets is aligned with the Standards of Training, Certification and Watchkeeping (STCW) and the UK MCA / Scottish Qualifications Authority (SQA) Level 7 Navigational Maths and Science unit.

This learning can be used to study and prepare for:

  • Navigational Maths and Science assessment
  • SQA Navigation assessment
  • UK MCA Orals assessment.

You can see the contents of what is contained in this unit in the contents list below, and subscribe here.

  1. Calculating Courses and Distances
  2. Difference of Latitude (D’Lat)
  3. Mean Latitude
  4. D’Long
  5. Departure
  6. Plane Sailings
  7. Traverse Sailing
  8. Parallel Sailings
  9. Mercator Sailing
  10. How to Complete a Mercator Sailing – Finding Course and Distance
  11. How to Complete a Mercator Sailing – Finding a Final Position
  12. Great Circle Sailings
  13. How to Complete a Great Circle Sailing
  14. Napier’s Rules
  15. How to Complete a Great Circle Sailing using Napier’s Wheel
  16. Finding the Vertex
  17. Composite Great Circles
  18. How to Complete a Composite Great Circle
  19. Magnetic Compass
  20. The Earth’s Magnetic Field
  21. The Three Components of the Earth’s Magnetic Field
  22. Variation and the Magnetic Compass
  23. Permanent and Induced Magnetic Fields
  24. The Compass Binnacle
  25. Maintaining the Magnetic Compass
  26. Gyro Compass
  27. The Properties of the Free Gyroscope
  28. The Operation of the Marine Gyrocompass
  29. Errors on a Gyroscope
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Calculating Courses and Distances

Difference of Latitude (D’Lat)

As you move from one latitude to another, you will change latitudes. This is known as the difference in Latitude, or D’Lat.

D’Lat can be ‘N’ if you are moving in a Northerly direction but does not necessarily mean you are in the Northern Hemisphere. You name D’Lat in the direction you are moving.

How to calculate the direction of D’Lat using the lines of latitude
Step-by-step instructions for calculating D’Lat

Mean Latitude

Finding the mean latitude is not quite as simple as adding both latitudes and dividing by two, it depends on which hemisphere you are in.

Step-by-step instructions in how to calculate the mean latitude

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