Kepler’s third law states that “the squares of the periods of the planets are proportional to the cubes of their mean distance from the Sun.” Listed below are the periods of revolution (x), the mean distances from the sun (y), and the values x2/y3 for the eight planets in the solar system (3).

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Planet Mercury Venus Earth xi (years) yi (astronomical units) x/y} 0.241 0.615 1.000 1.881 Mars Jupiter 11.86 Saturn 29.46 Uranus 84.01 Neptune 164.8 0.387 0.723 1.000 1.524 5.203 9.54 19.18 30.06 1.002 1.001 1.000 1.000 0.999 1.000 1.000 1.000