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Title:
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Symmetric planar non–collinear relative equilibria for the Lennard–Jones potential 3–body problem with two equal masses
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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 |
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Notes:
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In this paper we study the planar relative equilibria for a system of three point
particles with only two equal masses moving under the action of a Lennard–Jones
potential. A central configuration is a special position of the particles where the
position and acceleration vectors of each particle with respect to the center of mass
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 convenient rotating frame the orbits
coming from central configurations 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 of the system. In
this work we characterize the symmetric planar non–collinear relative equilibria and
we give the values of I depending on the parameters of the Lennard–Jones potential
for which the number of relative equilibria changes. |
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Subject(s):
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-Matemàtica |
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Rights:
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Tots els drets reservats
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Document type:
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Article
info:eu-repo/publishedVersion |
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Published by:
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Real Academia de Ciencias de Zaragoza
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