Technical Notes
ROTATION SEQUENCES AND EULER ANGLES
ROTATION SEQUENCES AND EULER ANGLES
(c) 1993, 2009 M.Lampton
STELLAR SOFTWARE
The orientation of an object in three dimensions can be
described an a variety of ways. One such description as
follows: take an arbitrary point P that is not the origin, and
write its coordinates (x,y,z) in a frame of reference fixed in
the object. Also, write its coordinates (X,Y,Z) in a lab frame
of coordinates having the same center. The matrix M that HOW TO SET UP AN AUXILIARY OPTICAL AXIS
HOW TO SET UP AN AUXILIARY OPTICAL AXIS
(c) 1992, 2003, 2009 M.Lampton
STELLAR SOFTWARE
Suppose a group of optical elements is to be lined up along
some axis that is neither the lab X, Y, or Z directions. How
does one express the positions and orientations of its elements
in the lab frame to enter them into a BEAM optics table?
This auxiliary axis will have its origin somewhere in space,
say (Xa Ya Za). It will also have some direction along which