In 1985, Perko and Walter showed that masses positioned at the vertices of a regular polygon forms a central configuration if and only if the masses are equal for the… Click to show full abstract
In 1985, Perko and Walter showed that masses positioned at the vertices of a regular polygon forms a central configuration if and only if the masses are equal for the classical Newtonian N-body problem. In this paper, we extend their result to the general potential of homogeneous degree , where .
               
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