Birds have been flying across the oceans
for millennia… people for not quite so long. Interestingly when people finally
managed to defy gravity and leap into the air, one of the first things they
attempted to do was to cross the oceans. Flying the English Channel and the
Atlantic are still some of the most important milestones of world as well as
aviation history.
Birds of the same species as these over-wintering Bar-tailed Godwits at Shoalhaven Heads in New South Wales have flown the longest non-stop migration flight ever recorded.
The story of E7, a female Bar-tailed Godwit
who flew a round trip of 29,000 kilometers when she left New Zealand and flew
to Alaska via China and Korea and then back to New Zealand is to us humans
nothing short of astonishing.
The flight from Alaska back to New Zealand
is over 11,600 kilometres and is the longest recorded non-stop journey of a
migrating bird. What makes this flight even more incredible is that she
navigated across the seemingly featureless Pacific Ocean for eight days
arriving just 14 kms from where she had departed seven months earlier. Her
track was not one straight line. She basically flew three straight tracks or
“legs”. According to information from the US Geological Survey she left Alaska
heading in a southerly direction towards Hawaii. Before she reached the
Hawaiian Archipelago she turned south west towards Fiji and then before
reaching Fiji turned south towards New Zealand. Just offshore from New
Zealand’s North Cape she turned southeast landing in the late evening.
There is no conclusive explanation on how a
bird navigates across such a vast ocean devoid of visible landmarks. But is it
really so featureless and what other senses do birds utilize that we don’t
understand.
Walden, Henry
David Thoreau:
"In the
midst of this chopping sea of civilized life, such are the clouds and storms
and quicksand’s and thousand-and-one items to be allowed for, that a man has to
live, if he would not founder and go to the bottom and not make his port at
all, by dead reckoning, and he must be a great calculator indeed who
succeeds."
First we need to try to understand just how
airborne navigation is accomplished.
Lets assume we have a small nuclear powered
aeroplane… no conventionally powered aeroplane has the endurance to remain
airborne for anything like eight days…
and we planned to fly it from the Yukon Delta in Alaska to the Miranda
mudflats on the North Island of New Zealand.
A basic aircraft compass and a compensation table. Compasses are subject to many variables which make flying an accurate track prone to error. With a basic compass like this one pilot's could only expect to fly an accuracy of two to three degrees either side of the intended compass direction. Fortunately the table which takes into account the errors caused by magnetic materials in the aircraft's structure is not required for birds.
Some have suggested that birds can navigate
using a built in compass so lets assume that the only piece of navigation
equipment we have on board our little aeroplane is a compass.
If we intend to navigate using a compass it
would be helpful (actually essential) if we knew what compass direction to fly…
known as the heading to steer. The first thing we would need is a chart so we
can plot where we are and where we are going. Birds obviously don’t carry
charts because they have no where to put them… so they would have to have that
information stored within…
Knowing what heading to steer is not as
straightforward as we might imagine. If we wanted to fly the shortest distance
between Alaska and NZ… other than digging a huge tunnel… we would fly what is
known as a “Great Circle” course. This deceptively simple idea of having a
straight line across the world belies the fact that calculating the compass
directions to keep on that Great Circle course is an extremely complicated
process. It’s all to do with the world being round. It’s actually an oblate
spheroid, which I realise sounds like an unmentionable male disorder… moving
on… so in fact to steer such a direct course requires constant changes to the
compass direction and a sophisticated mathematical process to work out what
those changes should be.
For example if we were to fly our little
aeroplane on the great circle (shortest distance) from the Middle East to Japan
we would depart heading northeast and finish up heading south east.
For that matter the same applies for any
route flown, short or long…they are all great circle routes… whether direct as
in our little aeroplane, an Airbus 380 crossing the Pacific or flying a number
of “legs” as E7 did. The only way we can fly a great circle without this
complicated process is to fly either exactly true north or south or fly east or
west along the equator but that’s hardly practical.
If some of you were thinking... didn't sailors used to (and still occasionally do) steer their vessels across the oceans on constant compass headings... you'd be right, they did and do. They sailed what is known as the Rhumb Line... maybe it was the amount of rum they drank. It is much easier to steer a constant compass heading that be constantly figuring out new compass directions every few miles. However the distance using the rhumb line between the Yukon and NZ is approximately 30% longer than the great circle and would describe a large "S" curving towards the north until crossing the equator when it would swing the other way in a large curve to the south. E7's track was a kind of "S" shape but curved in the opposite direction making it even less a rhumb line.
This Tiger Moth at the Historical Aviation Restoration Society's hangar at Wollongong, New South Wales was navigated with little more than a compass and a chart and looking over the side. Nowadays the pilot probably has a GPS in his pocket.
So lets be generous and give us a chart so
we can plot our course and work out all the compass changes and E7 has somehow
done the same. However there is another complication in relying on navigating
solely by compass.
The magnetic field to which our compass
aligns itself has three major problems. The magnetic poles are not at the
geographic poles; the magnetic field is not in a regular pattern and thirdly
the magnetic poles are constantly moving. These are basically lumped together
and called magnetic variation.
These problems require us to make
compensations to our compass direction to maintain our track. The rate of
change of magnetic variation is not even across the globe… I mean the oblate
spheroid. Leaving Alaska the variation is about +15°, passing Hawaii around
+10° and then at NZ about +20°. Each year both E7 and us will have to apply
slightly different corrections to account for the moving magnetic poles.
Departing the Yukon Delta in our little
aeroplane our initial compass direction, for the first 100 km or so until we
need to make changes to maintain the great circle route is 196° “True”. The
compass direction we need to steer in order to fly that direction needs to take
into account the magnetic variation of +15°. We need to subtract the 15° and
steer 196 – 15 = 181° “Magnetic”.
So for the entire flight we are firstly
making changes to our compass direction to maintain the great circle and for
each compass direction apply a non-linear correction appropriate to place on
the globe to account for magnetic variation. Fortunately for us our charts have
the magnetic variations plotted on them but we have to know where we are along
the track to apply the appropriate correction… how does E7 do it?
Migrating birds would fly over the tropical seas such as these north of Australia
But those problems, complex as they are,
pale into insignificance when we are confronted with the problem of wind.
If we were sailing a yacht rather than
flying a plane we could stand on the deck and feel the wind on our faces and
see the effects of it blowing across the surface of the sea. With that sort of
information we could make a reasonable judgement of its direction and speed. No
such capability is possible when flying. Reliable and accurate calculation of
the wind has only been possible since the use of inertial and GPS navigation
systems in aircraft.
Unless we correct for the wind we will be
blown way off course. E7 and our little aeroplane both fly at about 55 kph. If
there is a 20 kph wind from the side at an angle of 45° we need to compensate
our heading by about 14°. What that means is that in order to fly along our
planned track our nose, and E7’s bill, need to be pointing 14° to the side.
Before we took off in our little aeroplane, we, as good pilots would get a weather forecast. That would give us the predicted winds for the whole trip divided up into various sectors. By using a circular slide rule known in the trade as a "whiz wheel" we can work out the corrected heading that take into account the winds that the met service has predicted. Like most weather forecasts they are only partially correct and sometime completely wrong. Inevitably, because the wind is so variable and so difficult to predict to the degree of accuracy that we need, we still get blown off track.
So how do we actually navigate our little
aeroplane? Navigation is a series of “fixes” – known positions that we can
recognise. We know where we are when we begin our journey. We can use our
compass to steer us in the direction that we have planned.
Navigating by compass alone is known as
“dead reckoning” and while the origin of the expression “dead” is unknown its
implication is clear. Sooner or later, fingers crossed, we can positively “fix”
our position by flying over or within sight of a recognisable feature. Like a junkie,
without those regular “fixes” we are in serious trouble!
Incidentally, a GPS does not use a compass
for navigating. A GPS computes its information for us to use by calculating a
rapidly recurring series of “fixes” from which it can tell us the compass
direction in which we are moving across the sea as it were. GPS cannot by itself
work out the wind. For that to occur in flight the GPS requires an input of the
aircraft’s compass direction and airspeed to work out the wind direction and
speed.
So by getting positive fixes we can cancel
out the errors that have occurred so far and start afresh. With a compass
solely for navigation our errors just continue to compound.
In summary in order to fly our journey we
would have to be able to fly to our destination by calculating a constantly
updating compass heading, account for the vagaries of magnetic variation and
apply corrections for the wind and being able to fly the aircraft accurately
according to the compass equipment we have onboard.
One of the rules of navigation is the
one-in-sixty rule. This neat little formula means that for every 60 units of
forward travel, one degree of compass error results in one unit of distance off
track. So for an 11,000 km flight across the wild blue ocean a one-degree error
would be result in being almost 200 km off track. Approaching NZ from the direction
in which E7 arrived, the whole country is about 200 km wide. To be able to fly
on a compass with only a one-degree error is a considerable achievement even
using a sophisticated compass?
All in all it is unlikely that birds would have the knowledge to navigate on compass directions even in the unlikely event that they have some sort of an onboard compass. That such a compass was capable of displaying the accuracy needed to maintain a track and that a bird could fly that accurately is also unlikely.
So even for us will good charts and an accurate compass, the ability to fly precisely as we can on heading and taking into account all the complexities of compass direction, magnetic variation and wind, a five degree error would be a good result. In that case should we attempt to fly such a long distance solely by compass we would more than likely end up missing NZ by at least 1,000 kilometres.
The P8 compass. In the days before gyro-stabilsed compasses this type of compass enabled aircrews to fly much more accurately. The scale was graduated to a much finer degree to make it easier to read precisely. Because it was mounted horizontally it was usually used by the navigator rather than the pilot.
Next post… maybe E7 navigates using the sun
and the stars and we install a sextant in our little aeroplane, carry a bunch
of almanacs and buy a watch.
In "Moby
Dick," Herman Melville wrote:
"...and in these same perilous
seas, gropes he not his way by mere dead reckoning of the error-abounding
log?"