Consider the average radius of Jupiter's orbit around the Sun equal to 5 times the average radius of Earth's orbit. Using Kepler's third law, calculate the period of Jupiter's revolution around the Sun. Express all calculations and set the expression for Kepler's third law as in the application exercise.
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Kepler discovered that the size of a planet's orbit (the semi-major axis of the ellipse) is simply related to sidereal period of the orbit. If the size of the orbit (a) is expressed in astronomical units (1 AU equals the average distance between the Earth and the Sun) and the period (P) is measured in years, then Kepler's Third Law says:
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