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On the use of surfaces of section in the N ‐body ring problem
Author(s) -
Navarro Juan F.,
Martínez–Belda M.C.
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6040
Subject(s) - mathematics , ring (chemistry) , massless particle , polygon (computer graphics) , section (typography) , geometry , motion (physics) , three body problem , order (exchange) , classical mechanics , mathematical physics , physics , computer science , telecommunications , chemistry , organic chemistry , finance , frame (networking) , economics , operating system
In the N ‐body ring problem, we investigate the motion of a massless body interacting with N bodies of equal masses at the vertices of a regular polygon that rotates around a central mass. In this paper, we analyze the use of different surfaces of section in the numerical exploration of the escape in the N ‐body ring problem in order to get some conclusions about the geometry of the basins of escape in the corresponding configuration spaces.