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.
Unique-IP document downloads: 123 times
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.