Astrophysics

   

Triangle Exact Solution of 3-Bodies Problem

Authors: Sergey V. Ershkov

Here is presented a system of equations of 3-bodies problem in well-known Lagrange's form (describing a relative motions of 3-bodies). Analyzing of such a system, we obtain an exact solution in special case of constant ratios of relative distances between the bodies. Above simplifying assumption reduces all equations of initial system to a proper similar form, which leads us to a final solution: initial triangle of bodies m1 , m2, m3 is moving as entire construction, simultaneously rotating over the common center of masses as well as increasing or decreasing of it's size proportionally.

Comments: 9 pages.

Download: PDF

Submission history

[v1] 30 Aug 2011
[v2] 10 Sep 2011
[v3] 13 Sep 2011

Unique-IP document downloads: 210 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus