A special family of stacked central configurations: Lagrange plus Euler in one
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hdl:2117/116852
Document typeArticle
Defense date2019-06
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Abstract
We show the existence of a family of stacked central configurations in the planar five-body problem with a special property. Three bodies m1, m2 and m3, ordered from left to right, are collinear and form an Euler central configuration, and the other two bodies m4 and m5, together with m2 are at the vertices of an equilateral triangle and form a Lagrange central configuration.
Description
This is a post-peer-review, pre-copyedit version of an article published in Journal of dynamics and differential equations. The final authenticated version is available online at: http://dx.doi.org/10.1007/s10884-018-9647-1
CitationLino, J., Alvarez-Ramírez, M., Cors, J. A special family of stacked central configurations: Lagrange plus Euler in one. "Journal of dynamics and differential equations", June 2019, Vol. 31, no 2, p. 711-718.
ISSN1040-7294
Publisher versionhttps://link.springer.com/article/10.1007/s10884-018-9647-1
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