Regular polygon central configurations of the N-body problem with general homogeneous potential
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DOI: 10.1088/1361-6544/ab130f
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… read more here.
Keywords: body problem; polygon central; regular polygon;
Regular Polygon Central Configuration of the Restricted 1 + N-Body Problem
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DOI: 10.3390/universe9060254
Abstract: We consider the central configurations of the 1+N-body problem, where N bodies are infinitesimal and the remaining one body is dominant. For regular polygon central configurations, we prove that the masses of all the infinitesimal… read more here.
Keywords: body problem; polygon central; regular polygon; body ... See more keywords