No way, it would be near instantaneous. Position of the sun in the sky is really trivial stuff. Hell, don't even bother, just use this: http://aa.usno.navy.mil/data/docs/AltAz.php
Wikipedia apparently has a pretty nice page on calculating the position of the Sun if anybody is interested: http://en.wikipedia.org/wiki/Position_of_the_Sun It's basically a lot of trig and a bunch of constants; pretty neat. Interestingly the information given on that page is only valid for a shorter timeframe than the information given on the USNO page.
