Homographic Solutions of the N-body Generalized Lennard-Jones System
Bowen Liu
TL;DR
This paper explores special homographic solutions in the Lennard-Jones N-body system, highlighting fundamental differences from gravitational models through existence proofs of various solution types.
Contribution
It establishes the existence of non-planar and non-circular homographic solutions in Lennard-Jones systems, revealing key differences from Newtonian gravity.
Findings
Existence of non-planar circular homographic solutions
Existence of non-circular homographic solutions
Differences between Lennard-Jones and Newtonian potentials
Abstract
In this paper, we obtain the existence of non-planar circular homographic solutions and non-circular homographic solutions of the - and -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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