Gimbal lock


Gimbal lock

Gimbal lock occurs when the axes of two of the three gimbals needed to compensate for rotations in three dimensional space are driven to the same direction.

For example, assume a level sensing platform on an aircraft flying due north has its three gimbal axes mutually at right angles, i.e., Roll, Pitch and Yaw angles each zero. If the aircraft pitches up 90 degrees, the plane's and platform's Roll axes become parallel to the Yaw axis, and changes about Yaw can no longer be compensated for. This problem may be overcome by use of a fourth gimbal, driven so as to maintain a large angle between Roll and Yaw gimbal axes.

A similar situation occurs with the use of the Azimuth angle (rotation clockwise from North) to define a direction. This works everywhere on earth except at the poles (latitude 90° north or south). Azimuth becomes meaningless there because the poles are singularity points, where all directions in terms of Azimuth are South (or North). In other words, if you were standing on the north pole, no matter what direction you turn your body you will always be facing south.

ee also

* Charts on SO(3)
* Flight dynamics
* Quaternions and spatial rotation
* Euler angles
* Rigid rotor

External links

* [http://www.hq.nasa.gov/alsj/gimbals.html Gimbal lock during the mission] of Apollo 11
* [http://www.hq.nasa.gov/alsj/e-1344.htm Gimbal lock constraints and the Apollo IMU (inertial measurement unit)]


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Look at other dictionaries:

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  • Gimbal lock — bezeichnet ein geometrisches Problem, welches bei Transformationen in Verbindung mit Eulerwinkeln auftreten kann. Der Begriff stammt aus dem Englischen, Gimbal heißt hier Kardanische Aufhängung, Gimbal Lock ist also deren Blockade. Eulerwinkel… …   Deutsch Wikipedia

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  • gimbal lock — A situation in which two gimbals coincide in the same plane. This results in the restriction on the freedom of movement of a gyroscope, robbing it of its useful properties. Inner and outer gimbals are in the same plane …   Aviation dictionary

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  • Blocage de cardan — Animation : un ensemble de trois cardans montés de façon à accorder trois degrés de liberté Le blocage de cardan est la perte d un degré de liberté, connue aussi sous le nom anglais de gimbal lock, qui survient quand les axes de deux des… …   Wikipédia en Français

  • Eulerwinkel — Eulersche Winkel oder auch Eulerwinkel sind eine Möglichkeit zur Beschreibung der Orientierung (Winkellage) von Objekten im dreidimensionalen Raum. Es handelt sich um drei Winkel, welche jeweils eine Drehung (Rotation) um bestimmte Achsen… …   Deutsch Wikipedia


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