Solution of the Two Body Problem

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The discussion focuses on the two-body problem as a precursor to understanding the unsolvable nature of the three-body problem. Participants suggest resources for a closed-form solution to the two-body problem, including a link to ScienceWorld's entry and references to Landau's text on Mechanics. The conversation also touches on Brun's theorem and its relevance, with one user noting that the three-body problem has an infinite-series solution derived by Sundman, although it converges too slowly to be practical. Overall, the thread emphasizes the importance of grasping the two-body problem to better comprehend the complexities of the three-body problem.
Ed Quanta
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I have been trying to understand why the three body problem is unsolvable for some time now. But I realized that it would probably help to see a closed form solution to the two body problem first. I was wondering if anyone can direct me to such a solution via link or just shed some light on the topic. Peace.
 
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Try scienceworlds's Two-Body Problem entry. It's the second thing that came up on google.
 
It's done in Landau's text on Mechanics,too.

Daniel.
 
Ed Quanta said:
I have been trying to understand why the three body problem is unsolvable for some time now.

Have you gotten as far as Brun's theorem?
 
What's Brun's Theorem got to do with it?
I just looked up what it is.
 

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