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

Antonio Carlos Fernandes; Jaume Llibre; Luis Fernando Mello

doi:10.1007/s00205-017-1134-z

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

Antonio Carlos Fernandes, Jaume Llibre, Luis Fernando Mello

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

9 Citations (Scopus)

Abstract

© 2017, Springer-Verlag Berlin Heidelberg. 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.

Original language	English
Pages (from-to)	303-320
Journal	Archive for Rational Mechanics and Analysis
Volume	226
Issue number	1
DOIs	https://doi.org/10.1007/s00205-017-1134-z
Publication status	Published - 1 Oct 2017

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Fernandes, A. C., Llibre, J., & Mello, L. F. (2017). Convex Central Configurations of the 4-Body Problem with Two Pairs of Equal Adjacent Masses. Archive for Rational Mechanics and Analysis, 226(1), 303-320. https://doi.org/10.1007/s00205-017-1134-z

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AB - © 2017, Springer-Verlag Berlin Heidelberg. 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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