Understanding Multivariable Calculus: Problems, Solutions, and Tips
Kepler's Laws - The Calculus of Orbits
S1 E14:
Blast off into orbit to examine Johannes Kepler's laws of planetary motion. Then apply vector-valued functions to Newton's second law of motion and his law of gravitation, and see how Newton was able to take laws Kepler had derived from observation and prove them using calculus.