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I am doing an end of the year presentation/project for calculus BC class, and I was considering examining orbital motion and Kepler's laws in terms of basic calculus. So far I have been reading this site:

http://www.alcyone.com/max/physics/kepler/index.html

Does anyone have any suggestions for variations or examinations of this topic? I was also considering Lagrangian points. The site uses cross products, partial differentiation, and other concepts that I am unfamiliar with, so if there is a way to understand these in terms of BC calculus, I would appreciate an explanation. Thanks in advance for any advice!