Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5500091 | Journal of Geometry and Physics | 2017 | 7 Pages |
Abstract
For any convex non-collinear central configuration of the planar Newtonian 4-body problem with adjacent equal masses m1=m2â m3=m4, with equal lengths for the two diagonals, we prove it must possess a symmetry and must be an isosceles trapezoid; furthermore, which is also an isosceles trapezoid when the length between m1 and m4 equals the length between m2 and m3.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Yiyang Deng, Bingyu Li, Shiqing Zhang,