Equilic quadrilateral central configurations

Martha Alvarez–Ramírez; Jaume Llibre

doi:10.1016/j.cnsns.2019.104872

Equilic quadrilateral central configurations

Martha Alvarez–Ramírez, Jaume Llibre

Department of Mathematics

Research output: Contribution to journal › Article › Research

Abstract

© 2019 An equilic quadrilateral is a quadrilateral with one pair of opposite sides having the same length, which has angles of inclination whose sum is 2π/3. We characterize the central configurations of the 4–body problem whose four positive masses are at the vertices of equilic quadrilaterals.

Original language	English
Article number	104872
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	78
DOIs	https://doi.org/10.1016/j.cnsns.2019.104872
Publication status	Published - 1 Nov 2019

Keywords

Convex central configuration
Equilic quadrilateral
Four–body problem

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Alvarez–Ramírez, M., & Llibre, J. (2019). Equilic quadrilateral central configurations. Communications in Nonlinear Science and Numerical Simulation, 78, [104872]. https://doi.org/10.1016/j.cnsns.2019.104872

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AU - Llibre, Jaume

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AB - © 2019 An equilic quadrilateral is a quadrilateral with one pair of opposite sides having the same length, which has angles of inclination whose sum is 2π/3. We characterize the central configurations of the 4–body problem whose four positive masses are at the vertices of equilic quadrilaterals.

KW - Convex central configuration

KW - Equilic quadrilateral

KW - Four–body problem

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DO - 10.1016/j.cnsns.2019.104872

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JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

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