Symmetry of planar four-body convex central configurations
نویسندگان
چکیده
منابع مشابه
Convex Four Body Central Configurations with Some Equal Masses
We prove that there is a unique convex non-collinear central configuration of the planar Newtonian four-body problem when two equal masses are located at opposite vertices of a quadrilateral and, at most, only one of the remaining masses is larger than the equal masses. Such central configuration posses a symmetry line and it is a kite shaped quadrilateral. We also show that there is exactly on...
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ژورنال
عنوان ژورنال: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
سال: 2008
ISSN: 1364-5021,1471-2946
DOI: 10.1098/rspa.2007.0320