The FE person to ask would be Mr. Tom Bishop. Apparently, this project is as easy as just making a table and plot the positions for a while and figure out the pattern. Ancient astronomers did it this way and were perfectly accurate so some believe. This method can be used to predict eclipses, their duration, width, exact location on the earth, their direction as well. So, just copy what the ancients were able to do with their eyes and parchment, a little math, should be easy.