One of the most beautiful achievements in scientific history was to realize, and then to prove, that the same physics that governs the fall of an eraser in a classroom governs the orbits of the planets. That achievement, hundreds of years ago, not only gave us a glimpse of the machinery of the heavens but also helped establish the physics that underlies our modern technological world. A big part of that scientific revolution was Kepler's Law, the relationship between the periods and the radii of the orbits of the planets. That Law was part of the evidence that supported Newton's theory of gravitation. In this problem, you'll use Kepler's law to get a sense for how vast our solar system is, and how different the circumstances of the different planets are. Part A Neptune, the farthest planet from the sun, has an orbital radius 30 times greater than that of Earth. Using Kepler's Law, calculate (to within 5%) how many Earth-years it takes for Neptune to orbit the sun. That is, calculate the ratio of the period of Neptune's orbit to the period of the Earth's orbit. View Available Hint(s)