What Are the Steps to Calculate Euler's Angles for Rotating a Vector?

  • Thread starter Thread starter theboss2012
  • Start date Start date
  • Tags Tags
    Angles
Click For Summary
To calculate Euler's angles for rotating a vector, one must identify the specific rotation sequence, such as zyz, and determine the angles alpha, theta, and gamma. The user is attempting to rotate a vector from (0,0,15) to (3,-12,15) and is struggling with the angle calculations after the initial rotation in the x-y plane. It is suggested to use quaternion to Euler conversion methods, which can be found in various online resources. The focus should remain on the orientation of the vector rather than scaling factors. Accurate calculations can be achieved by following established quaternion conversion algorithms.
theboss2012
Messages
1
Reaction score
0
Hello,

I have read about Euler's angles and matrices, including zxz,zyz, etc . I am not obliged to use a specific rotation but rather I want to figure out what angles I need to use for alpha,theta, gamma in the specific matrix. For example, I have a vector from the centre with vertex x,y,z of (0,0,15), I want to rotate it to (3,-12,15), what angles should I use or how can I obtain these angles ?

If let's say I choose zyz, i am finding difficulties finding the corresponding angles after the first x-y plane rotation.

Please disregard the scaling factor and just consider the orientation.

Look forward to hearing from you
 
Physics news on Phys.org

Thread 'Does acceleration affect impact energy vs constant velocity?'

I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...
View full post »

Similar threads

Undergrad How can Euler angles be visualized using a polar plot?
  • · Replies 1 ·
Replies
1
Views
2K
Understanding the Differences between Euler Versus Tait Angles
  • · Replies 2 ·
Replies
2
Views
6K
Graduate Euler vs. Tait (steady precession vs... what?)
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Calculating Pitch and Roll Relative to a Velocity Vector from IMU Data
  • · Replies 5 ·
Replies
5
Views
3K
Undergrad How Does the Angle at P1 Change Over Time Until the Object Falls?
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Can the orientation of a body be defined by Euler angles?
  • · Replies 18 ·
Replies
18
Views
2K
Undergrad Why are rotated parallel axes still parallel?
  • · Replies 5 ·
Replies
5
Views
955
Graduate Are Tait and Euler angles a complete parametrization of 3D space?
  • · Replies 7 ·
Replies
7
Views
2K
Graduate Corresponding case of steady precession but for Tait-Bryan angles
  • · Replies 1 ·
Replies
1
Views
1K
The order of Euler Angle rotations for a top
  • · Replies 7 ·
Replies
7
Views
2K