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This is why the great circle lines will always be the shortest lines along the earth's
surface.
For our purposes, the difference between a great circle and compass line means
nothing. When we produce maps for our type of flying, VFR over short distances,
we use the Gnomonic projection.
When we do this, a straight line between 2 points will be a great circle line and
thus the shortest distance.
The 2 pictures on the next page show a MERCATOR projection at the top. Here
the parallels of latitude are straight lines.
The shortest distance in this type of projection is not a straight line, as is the case
in the GNOMONIC projection shown below, which is what our maps are.
As you can see from the drawing
here, we have to constantly
change course to fly along the
great circle line (because the great
circle line curves (unless we fly
along a meridian).
In practice, we only measure one
value, namely the middle of the
route in relation to a central
meridian.
On the Mercator projection, a straight line is actually a course line, since it
intersects the meridians (which are parallel lines) at the same angle.
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Flyveteori PPL(A)(UL)/LAPL Henning Andersen, Midtjysk Flyveskole© 2025 821