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Funny, I was just using those same sources to calculate sunrise and sunset for Curiosity.

I think the latitude for Curiosity is wrong on that Nasa site and in the data file for the downloadable clock they have. I think it should be negative, based on the other sources. I emailed the listed contact to ask.

EDIT- Before I found that site, I was working from an ancient clock written in QBasic, described here: http://www.spaceacademy.net.au/spacelab/projects/marsclok/ma...

I don't use latitude yet for any calculations. The longitude is given in degrees E but the formula requires degrees W so I just subtract it from 360.