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Prove the Kepler's laws with calculus. 1.- The orbit of a planet is an ellipse with...

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Physics

Prove the Kepler's laws with calculus.

1.- The orbit of a planet is an ellipse with the Sun at one ofthe two foci.

2.- A line segment joining a planet and the Sun sweeps out equalareas during equal intervals of time.

3.- The square of the orbital period of a planet is directlyproportional to the cube of the semi-major axis of its orbit.

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