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Regular polygon central configurations of the N-body problem with general homogeneous potential

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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 .

Keywords: body problem; polygon central; regular polygon

Journal Title: Nonlinearity
Year Published: 2019

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