Kepler’s Second Law explained with Calculus

Let’s take the yellow circle in the above graph as the sun with the green circles representing a planet at different points in time. As you’ll notice most obviously, sector A is much shorter and wider than sector B. Despite this, when calculated you will find that these sectors are of the same area. This sounds like an interesting coincidence but there is in fact physics behind this phenomenon. To figure out how this is happening, let us consider why the planet is even moving in an orbit at all. This is due to the force of gravity exerted by the sun on the planet. Rather than being attracted in a straight line to the sun, the planet travels in a roughly elliptical shape since it is traveling at a certain velocity. To break down its motion in this orbit we must bring in principles of circular motion. <a href="https://medium.com/@justkushhere/keplers-second-law-explained-with-calculus-b220fa43a42c">Visit Now</a>