From Newton's gravitational law to orbital motion, with geometric algebra
Peeter's math and physics play
In this video, we demonstrate how to find conic (in particular, elliptical) solution to the Newton's gravitational problem, using our geometric algebra toolbox, understanding how to find the orbits of earth/sun like systems.
We use the unit radial vector derivative and our bivector valued angular momentum that we derived in the last video to do most of the work.
Prerequisites: introductory physics, calculus (derivatives and chain rule), and geometric algebra basics (vector multiplication, grade selection, vector/bivector products, ...)
Wordpress and PDF versions of this video can be found at:
https://peeterjoot.com/2023/09/14/new-video-elliptical-motion-from-newtons-law-of-gravitation/
If you liked this material you may be interested in my blog:
or my book (Geometric Algebra for Electrical Engineers), which is available for free in pdf form at:
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