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_________ was the astronomer who deduced that all the planets orbit the Sun such that (i) their orbits are elliptical. (ii) they sweep out equal areas in equal times. (iii) the square of their periods is proportional to the cube of their mean orbital radii.

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Answer: Johannes Kepler

Explanation: Johannes Kepler (Weil der stadt, December 27th, 1571 - Regensburg, November 15th, 1630), a key figure in the scientific revolution, was a German astronomer and mathematician; known primarily for his laws on the movement of planets in their orbit around the sun. He was a collaborator of Tycho Brahe, whom he replaced as imperial mathematician of Rudolph II.

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