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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.

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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.

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Keplers Laws - Preliminaries pt1

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.

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