Re: Rotation matrix

From: Marek Kowalski (Marek.Kowalski@cern.ch)
Date: Thu Feb 11 1999 - 08:52:07 MET


Hi Federic,

The TRotMatrix constructor wit six angles uses the GEANT convention:

theta1 is the polar angle of the x-prim axis inthe main reference system
(MRS), theta2 and theta3 have the same meaning for the y-prim and z-prim
axis.

Phi1 is the azimuthal angle of the x-prim in the MRS and phi2 and phi3
have the same meaning for y-prim and z-prim.


for example, the unit matrix is defined in the following way.


x-prim || x, y-prim || y, z-prim || z 

means:  theta1=90, theta2=90, theta3=0, phi1=0, phi2=90, phi3=0


You can find all the details in the GEANT manual.



Regards, Marek


On Wed, 10 Feb 1999, Frederic MACHEFERT wrote:

> 	Hi, 
> 
>   I use 3d objects with Root. The rotation matrix for a 3D object doesn't
> seem to be defined by three angles but its calculation involves six angles
> called theta1, theta2, theta3, psi1, psi2, psi3. What is the meaning
> of these angles ?
> 
> Thank you in advance.
> Frederic.
> 	
> 
> -------- Frederic Machefert ------------
> DAPNIA/SPP - Bat. 141 - Piece 26B
> CEA-SACLAY - 91191 GIF-SUR-YVETTE Cedex - FRANCE
> tel: (33) 01 69 08 46 03  fax: (33) 01 69 08 36 49
> Frederic.Machefert@cea.fr
> 
> 



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