English

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

Dynamical Systems 2021-07-06 v1

Abstract

In this paper, we obtain the existence of non-planar circular homographic solutions and non-circular homographic solutions of the (2+N)(2+N)- and (3+N)(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.

Keywords

Cite

@article{arxiv.1806.00246,
  title  = {Homographic Solutions of the N-body Generalized Lennard-Jones System},
  author = {Bowen Liu},
  journal= {arXiv preprint arXiv:1806.00246},
  year   = {2021}
}