ATPL Navigation study materials
ATPL Navigation study resources

ATPL Navigation (Sri Lanka CAA Pilot Licence Examinations): General Navigation

ATPL Navigation · Work through your exam, one topic at a time.

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General Navigation

General Navigation tests your ability to work with the Earth's geometry, chart projections, tracks and time - not simply to quote definitions but to compute the numbers a flight crew uses. The exam favours short calculations in which one wrong assumption (true versus magnetic, departure versus change of longitude) eliminates every answer option.

Earth and track geometry

  • The Earth is treated as an oblate spheroid. A great circle is the shortest distance between two points; a rhumb line cuts every meridian at the same angle.
  • Departure (NM) = change of longitude (minutes of arc) × cos latitude. Remember that 1° = 60'.
  • Convergence = change of longitude × sin mean latitude. Conversion angle = half the convergence.

Chart projections

  • Mercator: the rhumb line is straight, the great circle plots concave towards the nearer pole, and scale expands with secant latitude - measure distance only at the latitude in use.
  • Lambert conformal conic: parallels are arcs, meridians are straight converging lines, a great circle is almost straight, and scale is nearly constant between the standard parallels.
  • Polar stereographic: meridians radiate from the pole, which suits polar tracks.

Worked example

A and B both lie on 50°N, A at 000°E and B at 020°E. The rhumb-line track is 090°T. Convergence = 20 × sin 50° = 15.3°, so the conversion angle is 7.7°. Eastbound in the northern hemisphere the great circle starts more poleward, that is, on a smaller bearing: initial great-circle track = 090 − 7.7 = 082.3°T. Conversely, from the great-circle track, the rhumb-line track is found by adding the conversion angle.

Traps

  • Applying the conversion angle in the wrong direction: sketch both tracks before choosing the sign.
  • Mixing magnetic and true: with variation west, magnetic bearings are larger than true.
  • Taking a scale bar from the wrong latitude on a Mercator chart.