Isosceles trapezoid central configurations of the Newtonian four-body problem
2012 ◽
Vol 142
(3)
◽
pp. 665-672
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Keyword(s):
We use a simple direct and basic method to prove that there is a unique isosceles trapezoid central configuration of the planar Newtonian four-body problem when two pairs of equal masses are located at adjacent vertices of a trapezoid. Such isosceles trapezoid central configurations are an exactly one-dimensional family. Explicit expressions for masses are given in terms of the size of the quadrilateral.
2008 ◽
Vol 464
(2093)
◽
pp. 1355-1365
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Keyword(s):
2016 ◽
Vol 15
(1)
◽
pp. 440-458
◽
2019 ◽
Vol 131
(10)
◽
2005 ◽
Vol 93
(1-4)
◽
pp. 147-166
◽
2006 ◽
pp. 192-204
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