A Euler vs. Tait (steady precession vs... what?)

  • A
  • Thread starter Thread starter Trying2Learn
  • Start date Start date
  • Tags Tags
    Euler Precession
AI Thread Summary
Euler angles and Tait-Bryan angles are two approaches to studying body rotations, with key differences in their axis representation. Tait-Bryan angles involve distinct rotations about three axes, while Euler angles use the same axis for the first and third rotations. In Euler angles, the concept of "Steady Precession" describes a scenario with constant precession and spin rates. The analogous case in Tait-Bryan angles is known as "Steady Turn," where the yaw rate is constant, pitch rate is zero, and roll rate is constant. This term is frequently applied in aviation and aerospace contexts.
Trying2Learn
Messages
375
Reaction score
57
TL;DR Summary
what is the analogue of steady precession when using the Tait -Bryan angles
Good Morning

When one studies body rotations, there are two general approaches one uses: Euler Angles vs. Tait-Bryan Angles.

The significant difference is that:
  • Tait–Bryan angles represent rotations about three distinct axes (e.g. x-y-z, or x-y′-z″): Yaw, Pitch, Roll
  • Euler angles use the same axis for both the first and third elemental rotations (e.g., z-x-z, or z-x′-z″): Precession, Nutation, Spin

With Euler angles, there is a special case of STEADY PRECESSION: precession rate is constant, nutation rate is 0, spin rate is constant.

Is there a NAME for the analogous case, when modeling with Tait? Yaw rate is constant, pitch rate is 0, roll rate is constant?
 
Physics news on Phys.org
Yes, there is a name for the analogous case in Tait-Bryan angles. It's called "Steady Turn," also known as "Constant Turn" or "Banked Turn." In this case, the yaw rate is constant, the pitch rate is zero, and the roll rate is constant. The term "banked turn" refers to the fact that the vehicle or object is banked or tilted to one side, like an airplane during a turn. This term is commonly used in aviation and aerospace engineering.
 
Thread 'Question about pressure of a liquid'
I am looking at pressure in liquids and I am testing my idea. The vertical tube is 100m, the contraption is filled with water. The vertical tube is very thin(maybe 1mm^2 cross section). The area of the base is ~100m^2. Will he top half be launched in the air if suddenly it cracked?- assuming its light enough. I want to test my idea that if I had a thin long ruber tube that I lifted up, then the pressure at "red lines" will be high and that the $force = pressure * area$ would be massive...
I feel it should be solvable we just need to find a perfect pattern, and there will be a general pattern since the forces acting are based on a single function, so..... you can't actually say it is unsolvable right? Cause imaging 3 bodies actually existed somwhere in this universe then nature isn't gonna wait till we predict it! And yea I have checked in many places that tiny changes cause large changes so it becomes chaos........ but still I just can't accept that it is impossible to solve...
Back
Top