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The number of planar central configurations for the 4-body problem is finite when 3 mass positions are fixed
Alvarez, Martha; Corbera Subirana, Montserrat; Delgado, Joaquin; Llibre, Jaume
First published in The Proceedings of the American Mathematical Society in Volume 133, Number 2, p. 529-536 published by the American Mathematical Society
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American Mathematical Society

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