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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