After tackling the cad model in a different way it became clear that the tips of the incoming ray vectors all lay on a circle offset from the circle traced by the centre of the elevation mirror. Knowing this and using some similar triangles I came up with these two equations:
az = sin-1(sin(off)/cos(e))
em = tan-1(tan(off).tan(e)/(sin(az) + tan(off).cos(az)))
where :
az = additional azimuth angle added by primary mirror
em = required elevation of the primary mirror
off = offset of the primary mirror from centre
e = calculated elevation of the sun
Now the required machine position can be calculated from the elevation and azimuth angles of the sun.
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