LX ACADEMY/SENSORS & SIGNALS

How an AHRS knows which way is up.

No sensor on your glider can measure "up". Gyros forget it within minutes, and accelerometers point at the wrong "up" in every banked turn. An attitude reference is an argument between flawed witnesses — and the argument, run well, is more reliable than any of them.

ADVANCED·11 MIN·UPDATED AUG 2026

The witness with perfect reflexes and no memory.

A MEMS rate gyro is a vibrating silicon tine that feels rotation through the Coriolis effect. It reports degrees per second — beautifully, hundreds of times a second, through any manoeuvre you can fly. But attitude is the integral of rate, and integration hoards every tiny error: a bias of a few hundredths of a degree per second — invisible in any single reading — compounds into several degrees of false bank within minutes. A gyro-only horizon starts perfect and tips over slowly, always.

So the gyro gives the AHRS its shape — every twitch, every roll rate, instantly — but something else must keep pinning that shape back to the real vertical. The obvious candidate measures gravity itself.

The witness that swears the turn is level.

An accelerometer does not measure gravity — it measures specific force: everything pushing on the sensor except gravity. Sitting still, the only push is the case holding it up against gravity, so it happens to point "up". But bank the glider into a coordinated turn and, in your seat's rotating world, the centrifugal push of the turn joins gravity. The two add, and their resultant — the "down" you and the sensor feel — points, precisely, treacherously, along the glider's own vertical axis. Straight through your seat.

This is the same physics that lets you pour coffee in a 45° bank without spilling: your inner ear and the accelerometer agree that "down" is at your feet. Both are wrong by exactly the bank angle, for as long as the turn lasts — and a thermalling glider turns for minutes at a time. An attitude system that trusted its accelerometers would slowly erase every sustained turn back to "level".

INTERACTIVE

Bank the glider. Find "down".

rear view · coordinated turn
BANK ANGLE40°
TRUE HORIZONGRAVITYCENTRIFUGALWHAT THE SENSOR FEELS
LOAD FACTOR
1.31 g
ACCELEROMETER-ONLY HORIZON ERROR
40°

The red vector is the whole problem in one picture: however far you bank, the felt force stays aligned with the glider's own axis — the direction an accelerometer reports in a coordinated turn contains no information about the bank at all (only the load factor hints that anything is happening). Everything else the AHRS knows about a sustained turn must come from the gyros and from aiding sources that live outside the airframe.

The argument, refereed.

The fusion filter — complementary in simple units, a Kalman filter in serious ones — assigns each witness the timescale it is honest on. Short term, believe the gyros: their errors need minutes to matter. Long term, believe the references: gravity's direction averaged over enough time is exactly vertical, because the turning errors eventually cancel. The filter is a weighted average across timescales — attitude follows the integrated gyros, and a slow correction perpetually herds that attitude toward what the long-term references report.

The referee gets smarter with better outside information. Feed it TAS from the pitot-static system and it can compute the centripetal term — turn rate times speed — and subtract the very error that fools the accelerometer, instead of waiting for it to average out. Feed it GNSS velocity and it gains an earth-fixed witness that no manoeuvre can confuse. A magnetometer anchors heading, where gravity offers no help at all. This is why an aviation AHRS wants to be connected to everything: each source patches a specific blindness of the others.

What this buys you in the cockpit.

An AHRS in a glider is not a blind-flying licence, and clouds have their own regulations. What the fused attitude buys, day to day, is quieter and more valuable: an inertial platform that makes the wind solution converge in seconds instead of circles, a vario that can subtract airframe motion faster than pressure alone allows, and — the day a wave gap closes or the haze eats the horizon over water — a display whose "up" you already trust, because it has been earning that trust silently on every ordinary flight.

The instrument is an argument between flawed sensors, settled a hundred times per second. Choose one where the referee was tuned by people who thermal.

ATTITUDE, EARNED