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Math EE (Kepler's laws)


Anonymouser

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This is the first and hopefully the last time I'd need to ask for help.

Anywho..

I've done my EE in Math and to be specific, I've proven Kepler's three laws of planetary motion to be correct.

Kepler's laws of planetary motion state:

  1. “All planets move in elliptical orbits with the Sun at one focus.”
  2. “The radius vector drawn from the Sun to a planet sweeps out equal areas in equal time intervals.”
  3. ”The square of the orbital period of any planet is proportional to the cube of the semimajor axis of the elliptical orbit.”

Basically, I introduce planetary motion and the models presented by the different astronomers, then I introduce Kepler's laws and prove them Mathematically.

I've finished my EE and it's ready to submit... but I just can't think of a good research question.

What role does mathematics play in planetary motion?

What can Mathematics contribute to Kepler's laws?

How can planetary motion models be proven correct using just Math?

...

Please help me out, I really can't think of one.

Thanks in advance folks!

PS. The EE is going to be sent to the examiner in around 12 hours or so, so I need help as urgently as possible.

Edited by Anonymouser
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