Article ID Journal Published Year Pages File Type
4629609 Applied Mathematics and Computation 2013 6 Pages PDF
Abstract

We characterize the planar Central configurations of the 4-body problem with masses m1=m2≠m3=m4 which have an axis of symmetry.It is known that this problem has exactly two classes of convex Central configurations, one with the shape of a rhombus and the other with the shape of an isosceles trapezoid.We show that this 4-body problem also has exactly two classes of concave Central configurations with the shape of a kite, this proof is assisted by computer.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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