Convex Central Configurations of the 4-Body Problem with Two Pairs of Equal Adjacent Masses

We study the convex central configurations of the 4-body problem assuming that they have two pairs of equal masses located at two adjacent vertices of a convex quadrilateral. Under these assumptions we prove that the isosceles trapezoid is the unique central configuration.

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Bibliographic Details
Published in:	Archive for rational mechanics and analysis Vol. 226; no. 1; pp. 303 - 320
Main Authors:	Fernandes, Antonio Carlos, Llibre, Jaume, Mello, Luis Fernando
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01-10-2017
Subjects:	Classical Mechanics Complex Systems Fluid- and Aerodynamics Mathematical and Computational Physics Physics Physics and Astronomy Theoretical
Online Access:	Get full text
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Description
Summary:	We study the convex central configurations of the 4-body problem assuming that they have two pairs of equal masses located at two adjacent vertices of a convex quadrilateral. Under these assumptions we prove that the isosceles trapezoid is the unique central configuration.
ISSN:	0003-9527 1432-0673
DOI:	10.1007/s00205-017-1134-z