When finding the period of a satellite orbiting the earth we equate the centripetal force to the gravitational force
mv2r=−GMmr2
If I understood well the r cancels into the r2 because the distance from the earth at any point on the orbit equals the radius of the orbit. Now what if we have an ellipse instead of a circle?
And by the way why does Kepler's 1st law say In elliptical orbits
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