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A special family of stacked central configurations: Lagrange plus Euler in one

Author
Lino, J.; Alvarez-Ramírez, M.; Cors, J.
Type of activity
Journal article
Journal
Journal of dynamics and differential equations
Date of publication
2019-06
Volume
31
Number
2
First page
711
Last page
718
DOI
https://doi.org/10.1007/s10884-018-9647-1 Open in new window
Repository
http://hdl.handle.net/2117/116852 Open in new window
URL
https://link.springer.com/article/10.1007/s10884-018-9647-1 Open in new window
Abstract
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 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, toge...
Citation
Lino, 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.
Keywords
Collinear central configurations, Equilateral central configuration, Laura-Andoyer equations

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