sundial  

Longest day calculations

John Goodman
Thu, 01 Jul 2010 10:13:17 -0700

Hello all, 

I usually shudder when I see equations in messages posted to the list, but now 
I have a problem than needs a mathematical solution.

I'm looking for a simple formula which calculates the number of hours that the 
sun will be above the horizon on the summer solstice for any given latitude. I 
don't need to worry about refraction, or take into account the sun's diameter. 
I'm just interested in the simple geometric case, using the center of the sun's 
disk for determining the start and end times. 

For my purposes, these simple relationships will be true: If the answer for 
summer solstice hours is SSH, then winter solstice hours will be 24 - SSH, and 
equinox hours will be 12, regardless of the latitude. 

Thanks very much,
John

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