Putting aside the Wolfram Language related content, this is a really interesting introduction to the mechanics of solar eclipses. The notion of a "synodic" vs "draconic" really clears up a lot of my questions about why there are not eclipses during every new moon.<p>One thing I was wondering from looking at this is whether there is a good map projection that preserves the shape of the "solar disc" (my term) that represents the side of the earth illuminated by the sun, weighted by the solid angle from the view of the sun, so that eclipse paths would look like straight lines of constant width.