Central configurations in planar n-body problem with equal masses for $$n=5,6,7$$
2019 ◽
Vol 131
(10)
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Abstract We give a computer-assisted proof of the full listing of central configuration for n-body problem for Newtonian potential on the plane for $$n=5,6,7$$ n = 5 , 6 , 7 with equal masses. We show all these central configurations have a reflective symmetry with respect to some line. For $$n=8,9,10$$ n = 8 , 9 , 10 , we establish the existence of central configurations without any reflectional symmetry.
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1996 ◽
Vol 16
(5)
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pp. 1059-1070
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2013 ◽
Vol 118
(1)
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pp. 89-97
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2009 ◽
Vol 50
(10)
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pp. 102901
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1991 ◽
Vol 50
(1)
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pp. 89-96
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