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Message: <blockquote data-quote="imhotep" data-source="post: 29745500" data-attributes="member: 562115">No... not the Netflix one. [MEDIA=youtube]6GfIDwwxfsM[/MEDIA]PS:  Though it's not mentioned in this video both Euler and Lagrange found solutions for special configurations. Five central configurations correspond to the five families of solutions discovered by Euler and Lagrange. Their solutions are the only three-body solutions for which the shape of the triangle does not change as the triangle evolves! In the Lagrange solutions, the triangle remains equilateral at each instant. Ever heard of Lagrange Points? Later on in the 1900's the Finnish mathematician  Karl F Sundman found a generalized solution using an infinite series which converges. But the convergence is very slow and to calculate it took ages.But now with AI and fast computing available there are said to be more than 10,000 solutions depending on various initial conditions.Note that it most cases one body is always ejected out of the system and the remaining "Binary" system is the stable configuration.</blockquote>

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