My entry to the Summer of Math Exposition contest (SoME1).
www.3blue1brown.com/blog/some1
Newton's superb theorem (also called the shell theorem) says that a spherically symmetric body affects external objects gravitationally as if all of its mass were concentrated at a point at its center. This video is my take on a relatively new proof of the theorem, which presents a geometric argument without calculus.
References:
C. Schmid, American Journal of Physics 79, 536 (2011)
arxiv.org/abs/1201.6534
Many thanks to 3Blue1Brown, both for setting up the contest and for making such fantastic videos. The channel is truly an inspiration.
Негізгі бет Newton's superb theorem: simplicity through symmetry
Пікірлер: 70