Motion in Polar Coordinates, Kepler's Laws, Worked Examples - Calculus 3

This video explains motion (velocity and acceleration) in polar and cylindrical coordinates for particles moving in the plane and 3D space, proves the orbit of a planet around a star is planar, how to derive Kepler's first (elliptical orbit), second (equal areas or conservation of angular momentum) and third law (orbital period) for planetary orbits. You will be able to explain why a leap year has 366 days.

0:00 Motion in polar coordinates
6:08 Motion in cylindrical polar coordinates
7:50 Proving the orbit of a planet around a star is planar
13:45 Deriving Kepler's first law
28:28 Deriving Kepler's second law
33:35 Deriving Kepler's third law
41:06 Worked examples