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extract 'relative' yaw from a world rotation on a sphere

Hi

I’ve been searching, and trying to solve this for quite some time now, but can’t seem to find an answer (and hardly have any hair left to pull out).

I need to find the yaw (angle) of an objects rotation (on a sphere). I was thinking of converting the rotation to have it’s up vector at 0,0,1, so I then can use atan2 to calculate the angle. However, I’m stuck there, and not sure if that’s even the proper solution. It also needs to work around the poles.

I lack the proper knowledge of matrices and quaternions to solve this. Was hoping anybody here could help solve this.

rotation_02.PNG

I did find this on stackoverflow, but not sure if that’s of any use (and not sure if/how applicable to ue4 matrices)

Thanks!

cheers
-Frank