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Kandrup, H.E. (2001) Chaos and the Continuum Limit in the Gravitational N-Body Problem: Integrable Potentials. Physical Review E, 64, Article ID: 056209.
https://doi.org/10.1103/PhysRevE.64.056209

has been cited by the following article:

• TITLE: Multi-Barycenter Mechanics, N-Body Problem and Rotation of Galaxies and Stars

  AUTHORS: Honglai Zhu

  KEYWORDS: Multi-Barycenter Mechanics, Translation Principle for a Vector System, Variation Principle for a Vector, Origin and Change Laws for the Rotation Angular Momentum of Galaxies and Stars, Multi-Body Problem

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.11 No.10, October 31, 2023

  ABSTRACT: In the present paper, the establishment of a systematic multi-barycenter mechanics is based on the multi-particle mechanics. The new theory perfects the basic theoretical system of classical mechanics, which finds the law of mutual interaction between particle groups, reveals the limitations of Newton’s third law, discovers the principle of the intrinsic relationship between gravity and tidal force, reasonably interprets the origin and change laws for the rotation angular momentum of galaxies and stars and so on. By applying new theory, the multi-body problem can be transformed into a special two-body problem and for which an approximate solution method is proposed, the motion law of each particle can be roughly obtained.