Data Model of Kepler's Second Law of Planetary Motion

  • #1
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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
 

Answers and Replies

  • #2
mathman
Science Advisor
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You could make it up based on Newton's laws for a two body problem with one body much bigger than the other.
 

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