We conclude our study by proving, with mathematical rigour as always, Kepler's Third Law - the square of the period of a planet moving around its elliptical orbit is proportional to the cube of its semimajor axis of that orbit. Check out www.gaussianmath.com for an indepth study or more calculus related content.
We shall prove Kepler's First Law: A planet revolves in an elliptical orbit with the sun at one of its focus. This simple looking law actually turns out to be the hardest one to derive.
Before we prove Kepler's Laws, we need to formulate some preliminaries namely setting up the coordinate axis. Check out www.gaussianmath.com for a more indepth explanation and more calculus-related content.