From Wikipedia, Lagrange points are points of equilibrium for small-mass objects under the gravitational influence of two massive orbiting bodies. There are five such points in the Sun-Earth system, called $latex L_1$, $latex L_2$, $latex L_3$, $latex L_4$, and $latex L_5$. The stable equilibrium points $latex L_4$ and $latex L_5$ are easiest to explain: they are the…

Mean Green Math

08.11.2024

Lagrange Points and Polynomial Equations: Part 5 – Mean Green Math

This series was motivated by a terrific article that I read in the American Mathematical Monthly about Lagrange points, which are (from Wikipedia) "points of equilibrium for small-mass objects under the gravitational influence of two massive orbiting bodies." There are five such points in the Sun-Earth system, called $latex L_1$, $latex L_2$, $latex L_3$, $latex L_4$, and…

Mean Green Math

15.11.2024

My Mathematical Magic Show: Index – Mean Green Math

I'm doing something that I should have done a long time ago: collecting a series of posts into one single post. The links below show the mathematical magic show that I'll perform from time to time. Part 1: Introduction. Part 2a, Part 2b, and Part 2c: The 1089 trick. Part 3a, Part 3b, and Part…

Mean Green Math

22.11.2024

Confirming Einstein’s General Theory of Relativity with Calculus: Index – Mean Green Math

I'm doing something that I should have done a long time ago: collecting a series of posts into one single post. The links below show my series on general relativity and the precession of Mercury's orbit. Part 1: Introduction Part 1a: Introduction Part 1b: Observed precession of Mercury Part 1c: Outline of argument Part 2:…

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Lagrange Points and Polynomial Equations: Part 4 – Mean Green Math

Lagrange Points and Polynomial Equations: Part 5 – Mean Green Math

My Mathematical Magic Show: Index – Mean Green Math

Confirming Einstein’s General Theory of Relativity with Calculus: Index – Mean Green Math

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