Data Model of Kepler's Second Law of Planetary Motion

[icecats]

Hello,
I am completing a research project for differential equations class. I am to derive Kepler's three laws and then compare the results of the derivation with real-world data. For Kepler's second law (a planet sweeps out an equal area in an equal time), I was hoping to find orbital data for a couple of planets and calculate the area at a couple of different parts of the orbit, proving that they are the same. How could I do this using calculus, numerical approximation, or similar?
Thanks

 

[mathman]

You could make it up based on Newton's laws for a two body problem with one body much bigger than the other.