How to Rotate a Vector in Different Coordinate Spaces?

[ronslow]

I have a vector v(r, theta, phi) in one coordinate space.

I need to calculate the values r', theta' and phi' for the same vector in another coordinate space which is rotated by alpha, beta and gamma about the x, y and z axis respectively
Is there an easy way to do this?

Thanks

Robert

 

[tiny-tim]

Welcome to PF!

Hi Robert! Welcome to PF!

(have an alpha: α and a beta: β and a gamma: γ and a theta: θ and a phi: φ )

I have a vector v(r, theta, phi) in one coordinate space.

I need to calculate the values r', theta' and phi' for the same vector in another coordinate space which is rotated by alpha, beta and gamma about the x, y and z axis respectively
Is there an easy way to do this?

Not that I know of … except that r =r'

(you could try http://en.wikipedia.org/wiki/Euler_angles)

 

[Office_Shredder]

Euler angles is probably the standard way to do this (I know it's how I was taught) but they're a bit of a pain to do. I recommend switching to a subject that doesn't rotate vectors