Talk:Three-body problem

Relation and possible merger between articles on 3-body problem and n-body problem

"It has been suggested that this article or section be merged with n-body problem."

Most of the material currently in Wikipedia on the 3-body problem already seems to be in the "n-body problem" article. There is very little of anything in the "3-body" article right now. That might seem to support a merger. On the other hand, much of the most intense and historically early work was focussed on the 3-body problem; and those are also the results that figure in much of the foundational description that readers would want to find in an encyclopedia. If this subject is developed in an appropriately encyclopedic way, I suggest that the 3-body problem would make a substantial and potentially very good article, probably too big to be a section in the "n-body problem" article. Terry0051 (talk) 20:51, 4 June 2009 (UTC)[reply]

Oppose merge. I agree with Terry0051. Although the math for n-body includes the narrow case of 3-body, the separate article for the special case is useful for historical and foundational reasons. --Jack-A-Roe (talk) 05:58, 11 June 2009 (UTC)[reply]
The articles should not be merged. A wide variety of research was done on topics specifically related to the three body system. i.e. the Pythagorean three body system. There is no space to include all this information in the n-body problem article. 217.93.180.18 (talk) 11:43, 21 July 2009 (UTC)[reply]

tag removed

The 'unreferenced' template has been removed, because the article does indeed have some citations. This makes the tag inappropriate in view of WP:Unreferenced, which says that "Wikipedia articles that have no citations belong in this category".

Existing citations are mainly in support of one section (history). So there might easily be room for 'citation needed' tags elsewhere. I didn't have time to explore that aspect. Terry0051 (talk) 12:46, 22 July 2009 (UTC)[reply]

[From Terry0051] I've added some 'citation-needed' tags: this is on the basis that they replace the previous general 'unreferenced' tag that was removed a short time ago. A few references are present, but large sections of the pre-existing content seems in need of RS or perhaps any reasonable explanation at all for general comprehensibility. (What these sections very probably need is recasting into more encyclopedic form and language). Terry0051 (talk) 17:27, 24 July 2009 (UTC)[reply]

Solution?

So, has the damn' thing been solved for classical mechanics, or not? The article doesn't say. *Septegram*Talk*Contributions*

Re: Septegram 01:13, 8 November 2009 (UTC): it is by Sundman around 1913. That is described in detail in the article about the n-body problem. The solution however is useless for practical purposes.Oub (talk) 12:26, 13 December 2009 (UTC):[reply]

Problems withe section n-body problem

It is stated

N-Body problems deal with the question of how n objects will move under one of the physical forces such as gravity. These problems don’t have an analytic solution for n greater than two (Except for special cases). Thus, for these kinds of problems using numerical solutions is unavoidable.

and there is a link to solutions in closed form. That is confusing and partially wrong.

The n-body problem has an analytical solution, expressed by a convergent power series. This was found by Sundman/Wang. The solution is useless for practical purposes and that is why numerical analysis is at the moment the only way to obtain quantitative results.

What is not known is a solution in closed form, but it is not proven that such a solution does not exist.

So I suggest to change the relevant text. I wait a day or two then I do it myself.Oub (talk) 12:32, 13 December 2009 (UTC):[reply]