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Trying2Learn

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- What is the corresponding case of steady precession but for Tait-Bryan angles

(This has continued to bother me. I tried asking, and no response. May I please try again?)

Using Euler angles, we rotate about an axis (often, axis three of a gyroscope frame), then a second (axis one of the gimbal frame), then return to the same axis as the first one (back to axis 3, but of the rotor frame) (all in the moving body frame): Precession, then Nutation, then Spin.

Using Tait Bryan angles, we go through a simliar process but this time, all three axes are different: Yaw, pitch, roll?

For Euler angles, there emerges a special case of Steady Precession:

What is the corresponding phenomena for the Tait-Bryan angles?

Or is that a non-sensical question? And why?

Sometimes, I think the case of steady precession is only for mechanical devices, and can best be described using Euler angles (precession, nutation, spin); and that there is NO SUCH corresponding phenomena when modeling a ship or plane using Tait Bryan (pitch, yaw, roll).

I think I am being a bit OCD trying to draw a parallel. I think I should accept the fact that one just choose the most suitable angles for the problem at hand, and just note that there is a special case of steady precssion for Euler angles (gyroscopes) and not for Tait-Bryan (planes and ships)

Thus, is it ridiculous to even ask about a special case when using Tait Angles (as we do with Euler angles)?

Using Euler angles, we rotate about an axis (often, axis three of a gyroscope frame), then a second (axis one of the gimbal frame), then return to the same axis as the first one (back to axis 3, but of the rotor frame) (all in the moving body frame): Precession, then Nutation, then Spin.

Using Tait Bryan angles, we go through a simliar process but this time, all three axes are different: Yaw, pitch, roll?

For Euler angles, there emerges a special case of Steady Precession:

- Precession RATE constant
- Nutation constant
- Spin RATE constant

What is the corresponding phenomena for the Tait-Bryan angles?

Or is that a non-sensical question? And why?

Sometimes, I think the case of steady precession is only for mechanical devices, and can best be described using Euler angles (precession, nutation, spin); and that there is NO SUCH corresponding phenomena when modeling a ship or plane using Tait Bryan (pitch, yaw, roll).

I think I am being a bit OCD trying to draw a parallel. I think I should accept the fact that one just choose the most suitable angles for the problem at hand, and just note that there is a special case of steady precssion for Euler angles (gyroscopes) and not for Tait-Bryan (planes and ships)

Thus, is it ridiculous to even ask about a special case when using Tait Angles (as we do with Euler angles)?

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