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Four-body co-circular central configurations

Author
Cors, J.; Roberts, G.
Type of activity
Journal article
Journal
Nonlinearity
Date of publication
2012-02
Volume
25
Number
2
First page
343
Last page
370
DOI
https://doi.org/10.1088/0951-7715/25/2/343 Open in new window
Repository
http://hdl.handle.net/2117/21123 Open in new window
URL
http://iopscience.iop.org/0951-7715/25/2/343/ Open in new window
Abstract
We classify the set of central configurations lying on a common circle in the Newtonian four-body problem. Using mutual distances as coordinates, we show that the set of four-body co-circular central configurations with positive masses is a two-dimensional surface, a graph over two of the exterior side-lengths. Two symmetric families, the kite and isosceles trapezoid, are investigated extensively. We also prove that a co-circular central configuration requires a specific ordering of the masses a...
Citation
Cors, J.; Roberts, G. Four-body co-circular central configurations. "Nonlinearity", Febrer 2012, vol. 25, núm. 2, p. 343-370.
Keywords
Convex central configurations, Relative equilibria

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