Kepler's Second Law: A Planet's Orbit Sweeps out Equal Areas in Equal Times - & In this video, I derive Kepler's 2nd law of planetary motion and show that the line joining the Sun to a planet sweeps

In this video, I derive Kepler's 1st law of planetary motion entirely from Newton's second law of motion and Newton's law of universal gravitation, while making extensive use of the calculus of vector

Yesterday, poking around, I asked myself how you could generalize the ellipse for more than two focal points, and I found out that a Scottish boy had asked himself the same question back in the 1840's,