Geometric Algebra Applications - Kepler Problem (Part 3)

In this video, we will finish our discussion of the Kepler problem by deriving Kepler's 3rd Law, total energy, the Vis-Viva equation, and the Virial Theorem. Along the way, we'll review some facts about the ellipse and observe the total energies for the different conic sections. References / Further reading: References / Further Reading: 1. http://adsabs.harvard.edu/full/1983CeMec..30..151H 2. Lasenby and Doran's "Geometric Algebra for Physicists" 3. https://en.wikipedia.org/wiki/Classical_central-force_problem#Specific_angular_momentum 4. https://en.wikipedia.org/wiki/Virial_theorem 5. https://en.wikipedia.org/wiki/Laplace%E2%80%93Runge%E2%80%93Lenz_vector 6. https://en.wikipedia.org/wiki/Semi-major_and_semi-minor_axes