On the analysis of the fractal basins of escape in the N‐body ring problem. Issue 6 (12th November 2020)

• Record Type: Journal Article
• Authors: Navarro, Juan F.; Martínez‐Belda, M. C.
• Is Part Of: Computational and mathematical methods. Volume 3:Issue 6(2021)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2020-11-12
• Subjects: celestial mechanics -- chaos -- escape -- N‐body ring problem; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Periodicals; Numerical analysis; Mathematics -- Data processing; Periodicals; 004.0151
• DOI: 10.1002/cmm4.1131
• Languages: English
• ISSNs: 2577-7408

Abstract

Abstract: 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.