Gliders don't always go where they are pointing
You may have seen recently a K-13 plunging Stuka-like
to the ground at 80 knots, rounding out at the last second. This was a try-out of
the energy-dumping idea of the National Coach, intended to show that landing ahead
after a cable break was possible more often than many pilots think. (The obvious
questions of where will the first too-late round out and the first through the far
hedge incidents occur was quickly answered in part by the Lasham pilot who performed
the latter feat.) This reminded me of a 1987 Newsletter article which has a message
some of you may not be too aware of, that gliders don't always go where they are
pointing. At that time, our puny Ford diesel winch had a struggle getting gliders
high enough to reach the hill into stiffish winds, and I showed that if you pointed
a K-13 at the top of the hill after the winch launch you would probably arrive at
the bottom, and if you pointed it at the bottom you might well arrive at the top.
Many pilots get an exaggerated idea of how much the
flight path angle changes with speed, which they get partly from the typical plots
of glider performance polars. These are always shown with different airspeed and
sink scales as in the left hand figure below. The true polar shape is shown drawn
to identical scales in the right hand figure. This polar is taken from a K-13 brochure,
and it shows that over a sensible speed range the flight path angle changes by roughly
2 degrees, from about 2 to 4 degrees. This 2 to 1 ratio is quite typical for most
gliders.

The other reason for the misconception is the changes
in the glider angle of attack, or AoA, its own attitude relative to the flight path.
The next figure shows that while the flight path angle changes by 2 degrees between
40 and 90 knots, the AoA changes by about 9 degrees, so the total change in glider
attitude seen by the pilot is 11 degrees.

The glide angle is the same at both 40 and at 60 knots,
despite the 6 degree change in attitude. With a stiff headwind, however, the glide
angle over the ground is much better at 60 knots than at 40 knots, for reasons which
of course you all know, hence the earlier article's "point" about getting
to the hill. At that period I could often almost see a cloud of disbelief filling
the front cockpit while trying to persuade pupils to go fast enough to reach the
hill. I doubt if that is a problem now, but there is another condition which catches
the pupil out. If orographic cloud starts to form ahead, a common reaction is to
put the nose down to get underneath. The polar shows this is pretty useless, since
you will hit the cloud at the same spot at 60 knots as if you kept plodding on at
40 knots. From a distance of 1000 feet, even 90 knots would make only a 35 foot
difference to the height on reaching the cloud (though in both cases there would
actually be a bit of extra height lost in diving to reach the higher speed). Obviously
you simply open the airbrakes instead (the blue thingy on the left is not just a
going-in-to-land lever).
Now return to the death-plunge approach. With no wind,
the nose points roughly along the glide path at 80 knots with brakes open, rather
than below it as the figure above shows for brakes closed. This is because the brakes
cause a loss of lift, needing an increased angle of attack to maintain lift. You
can obviously see the reference point in a sensible place in the canopy. A strong
wind introduces a remarkable effect, however. Assume a top-end approach with a 35
knot wind at circuit height, a bit strong but quite possible even with only 20 knots
on the ground. At this wind speed, with full brakes the glide angle over the ground
is about the same at 60 and 80 knots, so assume a 60 knot approach for illustration
even if more would be prudent in such a wind. Because the ground rises as you approach,
the general airflow is downwards, so add another 2 knots to the sink. The figure
below shows how the elements add up to an approach path very much steeper than the
glider's attitude. Now the reference point is far beneath the nose, and if you think
you are going to reach the ground about where you are pointing you are in for a
huge surprise. It shows clearly why crossing the fence at 800 feet would not be
too high and why going more than a short distance behind the fence is unwise in
a strong wind. I once saw a bold instructor, insisting on flying the Pilatus when
nobody else wanted to operate, show that 1000 feet was a good idea.

In case you are thinking of doing an 80 knot approach
all the way to the round out, the polar for full brakes doesn't go that far but
suggests a sink rate of well over 2000 feet per minute, which is possibly some 40
feet per second. Don't dither about starting the round-out!
John Gibson
12/1/96
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