Open AccessOn the analysis of the fractal basins of escape in the N ‐body ring problem
Author(s) -
Navarro Juan F.,
MartínezBelda M. C.
Publication year - 2021
Publication title -
computational and mathematical methods
Language(s) - English
Resource type - Journals
ISSN - 2577-7408
DOI - 10.1002/cmm4.1131
Subject(s) - fractal , ring (chemistry) , computation , constant (computer programming) , surface (topology) , body surface , geometry , physics , mechanics , mathematics , geology , statistical physics , mathematical analysis , computer science , algorithm , chemistry , organic chemistry , programming language
This article summarizes the results of a numerical investigation of the phenomenon of escape in the N ‐body ring configuration, focusing on the scenarios that result for N = 5, 6, 7, 8 peripheral bodies. There is a critical value of the Jacobi constant of the system such that for smaller values, the potential well opens and test particles may leave the potential through any of its N openings. By means of a surface of section, we show the results of the computation of the basins of escape towards the different directions of escape, analyzing the structures that appear in them.