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arXiv · 1806.00246

Homographic Solutions of the N-body Generalized Lennard-Jones System

Bowen Liu
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Abstract

In this paper, we obtain the existence of non-planar circular homographic solutions and non-circular homographic solutions of the $(2+N)$- and $(3+N)$-body problems of the Lennard-Jones system. These results show the essential difference between the Lennard-Jones potential and the Newton's potential of universal gravitation.

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Bowen Liu. 2018-06-01. Homographic Solutions of the N-body Generalized Lennard-Jones System. https://doi.org/10.1007/s10114-020-8252-5

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