Kepler's third law of planetary motion
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Kepler's third law states that the square of the period is proportional to the cube of the semi-major axis of the orbit. In Satellite Orbits and Energy, we derived Kepler's third law for the special case of a circular orbit. Equation 13.8 gives us the period of a circular orbit of radius r about Earth: T=2π√r3GME.
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Kepler's third law of planetary motion defines that the ratio of the squares of the orbital period for two planets is equal to the ratio of the cubes of their mean orbit radius. This indicates that the length of time for a planet to orbit the Sun increases rapidly with the increase of the radius of the planet's orbit.
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