On the analysis of the fractal basins of escape in the  N ‐body ring problem | Zendy

Navarro Juan F. | Zendy; MartínezBelda M. C. | Zendy

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On 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.

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