Difference between revisions of "Roll-Pitch-Yaw"

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m (Nickchen moved page Roll, pitch and yaw to Roll-Pitch-Yaw)
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There are different notations to define the axes of an object. Usually and in recent publications the vertical axis is the z-axis, the longitudal axis is x and then the lateral axis is the y-axis and directed to the left.
 
There are different notations to define the axes of an object. Usually and in recent publications the vertical axis is the z-axis, the longitudal axis is x and then the lateral axis is the y-axis and directed to the left.
  
So the roll-pitch-yaw
+
So the roll-pitch-yaw representation of the orientation is defined as follows:
 +
:<math>
 +
RPY(\phi,\theta,\psi)=Rot(x,\phi)Rot(y,\theta)Rot(z,\psi)
 +
</math>

Revision as of 11:17, 6 May 2015

The roll, pitch and yaw angles are three angles defined in regard of absolute transformation to describe the orientation of an object, generally vehicles, in three-dimensional space. In general the three angles can be described as follows:

  • Yaw: Rotation around the vertical axis of the object or vehicle, respectively
  • Pitch: Rotation around the lateral axis
  • Roll: Rotation around the longitudinal axis (what is generally the movement axis of a vehicle)

There are different notations to define the axes of an object. Usually and in recent publications the vertical axis is the z-axis, the longitudal axis is x and then the lateral axis is the y-axis and directed to the left.

So the roll-pitch-yaw representation of the orientation is defined as follows:


RPY(\phi,\theta,\psi)=Rot(x,\phi)Rot(y,\theta)Rot(z,\psi)