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On a Lambert Conformal Chart with standard parallels at 40°N and 55°N, the initial track angle of an airway from point A (54°N 015°W) to Aalborg (57°N 010°E) is 068°(T).
Determine the arrival track at Aalborg:
  • A
    050°(T)
  • B
    068°(T)
  • C
    086°(T)
  • D
    093°(T)

Refer to figure.
The GCT approximates to a straight line on a lambert conformal chart. Between two points on the chart, the GCT will change by the convergency.

Lambert chart: Convergency = Change of longitude º x Convergence factor
Where convergence factor equals sin of Parallel of Origin.

Parallel of Origin: half way between standard parallels - in this case, standard parallels 40ºN and 55ºN => Parallel of origin is (40º + 55º)/2 = 47.5ºN
Convergence factor = Sin 47.5º = 0.737

  • Convergency = 25º x 0.737 = 18.425º (25 longitude change is from 10°E to 15°W)

Rule of Thumb (D.I.I.D.):
N. Hemisphere:
Eastbound => Heading continuously increase if maintaining a constant track.
Westbound => Heading continuously decrease if maintaining a constant track.

S. Hemisphere:
Eastbound => Heading continuously decrease if maintaining a constant track.
Westbound => Heading continuously increase if maintaining a constant track

We are on the Northern hemisphere and flying to the east, we have to add the convergency to the track we are flying to obtain the track on arrival:

  • Arrival track at Aalborg = 068º + 18º = 086º(T)

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