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Alexander Burton, CFI
Pacific Rim Aviation Academy Inc.
Pitt Meadows Regional Airport
393-11465 Baynes Road
Pitt Meadows, BC V3Y 2B4
Lines of Position
“Skill'd in the globe and sphere, he gravely stands,
And, with his compass, measures seas and lands.”
- John Dryden-
I like to tell students the best way to avoid getting lost
is to stay found.
It sounds simple enough; it just sort of rolls off the
tongue, but “staying found” does take
a certain amount of situational awareness and a continual
effort to pay attention. We
normally know where we are when we take off. We normally
know where we are headed
on any particular flight. The trick is to get from here to
there without the inconvenience
of becoming disoriented and “lost”.
Lost, of course, is relative term. We are never totally
lost; we may just not know our
precise location. In VFR flight in small aircraft, it’s
pretty hard to become confused about
which hemisphere we are in or which country or even which
province. If we find
ourselves unsure of our exact position, we more than likely
have a pretty good idea of
where we were not long before, if, of course, we have been
paying attention. VFR cross
country flight is, after all, conducted with reference to
the ground: point to point along a
given track.
One of the skills that can be very helpful in the process of
staying found is using Lines of
Position from identifiable references either visual or
electronic. The principles are the
same; we just use different equipment.
For visual reference, we make use of our eyes, our heading
indicator or compass, and a
chart. For electronic reference, we make use of radio
navigational aids. Even if we are
equipped with sophisticated navigational aids, it is an
excellent plan to keep track of our
position on a chart as we fly so we are not risking
disorientation in the event of a
navigational aid failure.
Learning to develop a Line of Position is an excellent
practice and can be very helpful
while enroute to assist us in pinpointing our position.
Whether we do this visually or with
reference of a navigational aid, the same principles apply.
We want to determine where
we are in relation to one or more fixed points.
We’ll leave GPS aside for the moment. If the device is
working properly, it will give us
our exact position immediately—by establishing several Lines
of Position from
satellites—and provide us with a direct track from our
position to wherever else we might
want to go.
Using more conventional navigation aids, VOR or ADF, is
simple and quick, so let’s start
there. If you are planning to or considering using your
navigational aids during a flight, it
is an excellent idea to make sure you know how to operate
them and to perform the
appropriate checks on the ground prior to takeoff to make
sure they are functioning
properly.
To establish a Line of Position with VOR, tune in the
appropriate frequency, perform the
identification procedure using the Morse Code identifier
indicated next to the station on
the chart and turn the omni bearing selector (OBS) which
turns the azimuth dial until you
see a “From” flag and the course deviation indicator (CDI)
is centred. At the top of the
azimuth dial, you will find the degree number of the radial
over which you are currently
flying, the track outbound from the station.
On your map, draw a line extending outward FROM the station
along the radial indicated
at the top of your azimuth dial. You are somewhere along
that line. You have established
a Line of Position. If there is a handy geographic feature,
for example a road, river, power
line, coastline, or railroad track nearby, you can find
yourself quite accurately by
reference to the point where your Line of Position crosses
that geographic feature. Ideally
the Line of Position and the feature will lie ninety degrees
to one another.
Using the ADF is a similar process and, since ADF is not
dependent on line of sight
reception, you may have more flexibility in available
stations. There are some accuracy
issues involved with the ADF-NDB system and it might be wise
to be aware of those.
However, for our purposes we can normally obtain sufficient
accuracy to achieve our
goal of establishing a workable Line of Position.
With a fixed card ADF, tune, identify, and test the
equipment to make sure all is working
properly, observe your relative bearing—oh dear—take the
reciprocal of that bearing,
draw your Line of Position FROM the station, and carry on as
you would with the VOR.
Don’t get too excited about the fancy terminology. If the
head of the needle points thirty
degrees to the right, the tail of the needle will point 150
degrees to the left of your current
heading (relative bearing 210 degrees). Remember, the fixed
card ADF dial always uses
“0” as the direction your aircraft is flying. Simply
transfer that 150 degrees left indicated
by the tail of the needle to your heading indicator. If the
head of the needle indicates a
relative bearing of 30 degrees, the bearing FROM the station
is 150 degrees to the left of
your current heading.
If the head of the needle is to the left, the tail will be
to the right. Keep it simple.
Using the tail of the needle automatically gives us the
reciprocal of the bearing TO the
station and allows us to determine the Line of Position
without a lot of complex
computation. We may already be under some level of stress if
we are unsure of our
position. There is no sense adding to our difficulties with
a math problem. Practicing this
procedure on the ground or in your local area when you know
exactly where you are is an
excellent plan. Then, when you need it, it will be second
nature.
Of course, two NDBs, two VORs or an NDB and a VOR can be
used together to develop
two Lines of Position, or more if we really want to be
precise, which will locate or “fix”
our position fairly precisely. Typically, when using three
or more stations, we will end up
with a small triangle rather than a single point of
intersection. We are located within that
triangle (1). We’ll talk about fixes in more detail next
month.
We can apply the same principle visually, also with
excellent results, and we don’t need a
navigational beacon handy to do it.
Sailors who have done some coastal cruising will be familiar
with this technique. On a
boat, mariners typically will make use of a pelorus which
provides a relative bearing
similar to a fixed card ADF or an azimuth compass which
provides a magnetic bearing.
At sea, out of sight of land, a sextant, and before that an
octant and before that a quadrant
served the same purpose: to establish a Line of Position
from the sun, the moon or a star.
My father's generation, with the help of a few simple
calculations and a table of
corrections, navigated aircraft across the Atlantic to
Europe using a sextant .We don’t
normally carry any of these instruments with us in an
aircraft, but we can perform
essentially the same function using our chart, our eyes, and
a little imagination.
Orient your chart so what you are seeing outside is the same
as what you are seeing
inside: look straight ahead and match the chart to the
direction of flight. Find some
identifiable reference point within visual range: a lake, a
bridge, a mountain peak, an
island. Almost any point will do as long as we can see it
outside and find it on our chart
inside.
What is the relative bearing FROM your aircraft to the
geographic reference? Is it left or
right? You can use a compass rose, if one is handy on the
chart, or you can simply make
a reasonable estimate using the clock method referencing the
aircraft’s nose as 12:00
o’clock: 1:00 o’clock is 30 degrees; 10:00 o’clock is 300
degrees; 15:30 is 105 degrees
(3.5 x 30 = 105) (2).
You can translate that into its reciprocal by laying a
pencil or your hand on the map and
drawing a line outwards FROM the reference point on the
correct bearing. You have
established a Line of Position.
If you can locate yourself within a couple of miles, all the
rest should fall into place quite
nicely. Why not? It isn’t rocket science. People have been
using this type of navigational
technique quite successfully for more than 3000 years.
Playing with and practicing the techniques of developing
Lines of Position both visually
and electronically in a safe and known environment will
enable you to make use of these
techniques when venturing into unfamiliar areas. Having a
few extra tricks up your sleeve
is all to the good, and it’s pretty cool to learn something
new.
Enjoy.
Notes:
1. Ideally, the angle of interception between Lines of
Position extending from reference points will equal
90 degrees. If the reference points are too close together,
or, for that matter, too far apart, the angle of
interception formed by the Lines of Position will be too
steep (acute) or too shallow (oblique) to
determine an accurate “fix” or position. You can easily draw
some triangles and see the problem. As the
reference points get closer or farther apart the inevitable
error in the bearing of your Lines of Position is
magnified.
2. Time times 30 equals True bearing: 2 o’clock times 30 =
60 degrees True; 10 o’clock times 30 = 300
degrees True. Or, we can use our relative bearing and add
that to our indicated heading on the HI, giving
a magnetic bearing to or from a reference point. It’s
probably easier to just work with True bearings on
the chart rather than worry about translating True to
Magnetic and back again. The idea is to find our
location not necessarily to establish a particular heading
to fly. Once we have established our location,
we can make decisions about headings.
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