An example of the metric information (points
5-8 above) that should be supplied is given schematically
below for the LRA on the GIOVE-A satellite. Given the positions
and characteristics of the cubes within the LRA tray (points
8-12), it is possible to compute the location of the array
phase centre. Then given the C and L vectors
(points 5 and 7) it is straightforward to calculate the
vector from the satellite’s centre of mass (CoM)
in a spacecraft-fixed frame to the LRA phase centre. Further
analysis to derive the array far-field diffraction patterns
will be possible using the information given in points
8-16.

A good example of a well-specified LRA is
that prepared by GFZ for the CHAMP mission in the paper ‘'The
Retro-Reflector for the CHAMP Satellite: Final Design and
Realization', which is available on the ILRS website
at http://ilrs.gsfc.nasa.gov/docs/rra_champ.pdf
The final and possibly most complex piece
of information is a description (for an active satellite)
of the satellite’s attitude regime as a function
of time, which must be supplied in some form by the operating
agency. This algorithm will relate the spacecraft reference
frame to, for example, an inertial frame such as J2000.
References.
Two reports, both by David Arnold, are of
particular interest in the design and analysis of laser
retro-reflector arrays.
Method of Calculating Retroreflector-array
Transfer Functions, David A. Arnold, Smithsonian
Astrophysical Observatory Special Report 382, 1979.
Retroreflector Array Transfer Functions, David
A. Arnold, ILRS Signal Processing Working Group, 2002.
Paper available at http://nercslr.nmt.ac.uk/sig/signature.html |