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welcome to my lecture online now letamp;#39;s talk about the third law of kepler this is the law that enabled kepler and astronomers after him to determine the distance to the various planets in our solar system at least the ones that they were aware of and that was an incredible discovery he discovered the relationship between the period of the orbital motion to the average distance between the sun and the planet the semi-major axis so if we keep in mind that the area of the circle is pi r squared which most people know and then the area of an ellipse is simply pi times a times b of course you can see that if a equals b end up with pi r squared circle again you can see why that would be the case then letamp;#39;s use that concept to try to figure out how kepler determined that p squared was proportional to aq so first of all we go back to the concept that the amount of areas swept up per unit time is going to be a constant and so that means that if we take the entire area of an elli
