I need some assistance.  I understand the formula to calculate the change 
in altitude of the sun due to refraction.
 
http://en.wikipedia.org/wiki/Atmospheric_refraction#Calculating_refraction
 
What I can’t figure out is once altitude is changed what does that do to 
all the other co-ordinates of the sun’s position.
 
What I am looking for is a way to calculate the temporal hour including 
refraction, which is what you would see on an actual ancient sundial.
 
My problem is that the results that I get for the temporal hour including 
refraction can be up to a fifteen minute difference at the 11th temporal hour, 
which doesn’t seem right.
 
I am obviously not doing something right.
 
Any help would be appreciated.
Thanks,
Noam Kaplan
031:39:06 N
035:07:35 E                                       
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