Further reflections on the tether

Robert H. McNaught, Anglo-Australian Observatory (RMN@aaocbn2.aao.gov.au)
Fri, 15 Mar 1996 17:58:26 +1100 (EST)

Re: Reflections from a smooth vertical cylinder (tether)

Further reflection (pun intended) indicated I gave only the optimal
circumstance.  Reflections at all angles can be possible, but the geometry
is less simple to describe.  In all of these, the angle of the Sun above
the tether "equator" is equal to the reflected angle below it.

I believe the cirmumstances for a reflection at a specific moment is defined by
the intersection of a cone with the Earth's surface.  The tether is at the
cone's tip and has its axis along the tether.  The angle of the axis to the
slope of the cone equals the solar zenith distance (90 - elevation) as seen
from the satellite.  Points on this intersection would witness a reflection.

Hopefully this is correct, but probably pointless!  

Rob McNaught
rmn@aaocbn1.aao.gov.au