It was never a 180.
Turn a half-circle and you are pointing at the airfield, flying parallel to the runway and displaced sideways by twice the radius of your turn. That is not a landing, it is a downwind leg with no engine. To arrive lined up you must overshoot the reversal by roughly thirty degrees, then take those thirty degrees back the other way — so the manoeuvre is closer to 240 degrees of turning than 180, and every degree is bought with height.
This is the first reason the turn-back surprises people. They rehearse it as a half-circle, arrive abeam the runway with the numbers apparently working, and then discover the last third of the manoeuvre, which they had not budgeted for, at a height where there is nothing left to spend.
Bank steeply, but not as steeply as you can.
Height lost in a turn is sink rate multiplied by time. Steepening the bank cuts the time — the turn radius collapses — but it also raises the load factor, and sink rate in a turn climbs as the load factor to the power of one and a half. The two effects fight, and the product has a genuine minimum: in this model the height cost is proportional to 2/sin 2φ, which is smallest at exactly 45 degrees.
The curve around that minimum is comfortingly flat — anything between about 40 and 50 degrees costs within a few per cent of the best — and unforgivingly steep outside it. A timid 25-degree turn costs about a third more height than 45 does. But steeper is not safer either: at 45 degrees the stall speed is already 19% higher than the wings-level figure, and the pilot who rolls to 60 in a moment of urgency has raised it by 41% while looking over their shoulder at a runway. That is how a survivable forced landing becomes a spin.
¿Cuadra la aritmética?
The trainer at two hundred metres with four seconds of thinking does not make it, and that is the honest headline. Take the reaction to zero — the impossible fantasy of instant recognition — and it still falls short. Now switch to the motor glider and the same two hundred metres is comfortable, because a glide ratio of 25 turns the long journey home into the cheap part. The aircraft decides this, and then your reaction time argues with it.
The seconds nobody puts in the plan.
Engine failures on climb-out are rarely clean. Power decays, the aircraft yaws, the noise changes character, and the first honest human response is to check the obvious — fuel, pump, carburettor heat — because engines usually keep running and this one probably will too. Measured reaction times from the sound of the failure to a nose lowered are commonly three to five seconds even among pilots who knew a test was coming.
At a glide-ratio-of-nine sink rate, four seconds is around fourteen metres. That sounds trivial next to the ninety the turn will cost, and it is exactly the amount by which most marginal cases fail. Which is why the drill is not diagnose then act but lower the nose, then diagnose: the attitude change buys back the speed that the climb was consuming and costs nothing if the engine turns out to be fine.
The wind helps twice and hurts once.
A headwind on takeoff is generous at first. It steepens the climb over the ground, so at any given height you are closer to the airfield than you would be in still air, and while you turn it blows you back toward it. Both effects shorten the glide home. Then it collects: the return is downwind, so the touchdown is fast, the float is long and the runway remaining is the runway you have already used.
This is the part of the manoeuvre that kills people who got the height arithmetic right. Arriving over the threshold with fifty metres in hand and a four-metre-per-second tailwind is not a landing — it is an arrival at the far hedge. If the numbers say the turn works but the runway is short, the turn does not work.
En tu cabina.
The best turn-back is the one you never fly, and engines usually give notice. A cylinder head that has been creeping up for ten hours, a fuel flow that no longer matches the power setting, an exhaust gas temperature spread that has widened — none of those are visible on a glance at a gauge, and all of them are obvious in a logged trend, which is what el artículo de monitorización del motor is about. The height you start from is the other half: el artículo de la actuación en despegue covers what density altitude does to the climb that puts you there. And the stall speed that rises with bank is el artículo del ángulo de ataque — the wing stalls at an angle, not at a number on the dial, and never more usefully than in this turn.
Logs the trend, because the failures that give notice give it in the weeks before — never on the gauge that morning.
Airspeed, attitude and height in one scan, for the steepest turn you will ever fly at two hundred metres.
Attitude and airspeed on the iPad in your lap, from a box with its own battery — a second scan of the turn, at eye level.