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Scholars Journal of Physics, Mathematics and Statistics | Volume-7 | Issue-04
A Special Case of Central Configuration for Planar Concave 5-body Problem with Newtonian Potentials
Yangshanshan LIU
Published: April 30, 2020 | 116 82
DOI: 10.36347/sjpms.2020.v07i04.001
Pages: 40-45
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Abstract
In this paper we discuss a kind of symmetric configuration for planar concave 5-body problem with four of the five bodies on the vertex of an isosceles trapezoid and the other on the axis of symmetry inside the isosceles trapezoid. Then we give a special case to prove that there exist a set of positive masses to make this configuration a central configuration when the inner body not coincident with the center of mass.