So in my study of using Euler Angles to represent rotations in euclidean space I came across the following quote that you can find all over the place:
"To add to the confusion, flight and aerospace engineers, when using yaw, pitch, roll (also called heading, attitude, bank) to refer to rotations about the x, y, z axes, respectively, often call these the Euler angles. These x-''y''-''z'' angles are properly known as the Tait-Bryan angles,.."
Wikipedia on
Euler angles: "
Euler angles are the classical way of representing rotations in 3-dimensional Euclidean space, named after Leonhard Euler."
Wikipedia on
Tait-Bryan angles:
"In geometry, Tait-Bryan angles are three angles used to describe a general rotation in three-dimensional Euclidean space by three successive rotations, once about the x-axis, once about the y-axis, and once about the z-axis."
So can someone knowlegable in the subject please explain the difference to me? Is it the abstraction? Is this a case of semantics or am I just a large ape that needs to stick to beating a stick?
[Edited:]
Ok, so my understanding is that the difference is this - after each rotation using Tait-Bryan the axis will be redefined, the coordinate system relying on the object itself. Whereas when applying Euler angles the axis will not move. In other words the object defines the coordinate system.