- #1

Trying2Learn

- 373

- 57

- TL;DR Summary
- Which to use; and in which problems: Tait or Euler angles?

Good Morning!

I understand that the definitions and notations used for Tait–Bryan angles are similar to those described above for proper Euler angles, and I can work problems in either. However, I lack the ability to "rise above both" and categorize them.

I do understand that the only difference is that Tait–Bryan angles represent rotations about three distinct axes (yaw, pitch, roll) , while Euler angles use the same axis for both the first and third elemental rotations (precession, nutation spin).

That said, it SEEMS to me that Euler angles are preferred in mechanical engineering

Tait are preferred in marine and aerospace

Is there any reason (or any special problems) such that one is better than the other? Or does it really not matter?

And while I am at it: why do we talk about "steady PRECESSION" and never "steady YAW"

I understand that the definitions and notations used for Tait–Bryan angles are similar to those described above for proper Euler angles, and I can work problems in either. However, I lack the ability to "rise above both" and categorize them.

I do understand that the only difference is that Tait–Bryan angles represent rotations about three distinct axes (yaw, pitch, roll) , while Euler angles use the same axis for both the first and third elemental rotations (precession, nutation spin).

That said, it SEEMS to me that Euler angles are preferred in mechanical engineering

Tait are preferred in marine and aerospace

Is there any reason (or any special problems) such that one is better than the other? Or does it really not matter?

And while I am at it: why do we talk about "steady PRECESSION" and never "steady YAW"