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math-ph2014
Central Configurations Formed By Two Twisted Regular Polygons
Xiang Yu, Shiqing Zhang
In this paper, we study the necessary conditions and sufficient conditions for the central configurations formed by two twisted regular polygons (one N-regular polygon and one L-re…
math-ph2014
Action Minimizing Solutions of The One-Dimensional -Body Problem With Equal Masses
Xiang Yu, Shiqing Zhang
When we use variational methods to study the Newtonian -body problem, the main problem is how to avoid collisions. C.Marchal got a remarkable result, that is, a path minimizing…