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Title:
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Equilibrium points and central configurations for the Lennard-Jones 2-and 3-body problems
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Author:
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Corbera Subirana, Montserrat; Llibre, Jaume; Pérez-Chavela, Ernesto
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Other authors:
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Universitat de Vic. Escola Politècnica Superior; Universitat de Vic. Grup de Recerca en Tecnologies Digitals |
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Notes:
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Abstract. In this paper we study the relative equilibria and their stability for
a system of three point particles moving under the action of a Lennard{Jones
potential. A central con guration is a special position of the particles where the
position and acceleration vectors of each particle are proportional, and the constant
of proportionality is the same for all particles. Since the Lennard{Jones potential
depends only on the mutual distances among the particles, it is invariant under
rotations. In a rotating frame the orbits coming from central con gurations become
equilibrium points, the relative equilibria. Due to the form of the potential, the
relative equilibria depend on the size of the system, that is, depend strongly of the
momentum of inertia I. In this work we characterize the relative equilibria, we nd
the bifurcation values of I for which the number of relative equilibria is changing,
we also analyze the stability of the relative equilibria. |
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Subject(s):
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-Matemàtica |
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Rights:
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Tots els drets reservats
(c) Springer (The original publication is available at www.springerlink.com)
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Document type:
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Article
info:eu-repo/acceptedVersion |
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Published by:
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Springer Verlag
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