Escaping orbits in the N‐body ring problem. Issue 1 (4th November 2019)

• Record Type: Journal Article
• Authors: Navarro, Juan F.; Martínez‐Belda, M. C.
• Is Part Of: Computational and mathematical methods. Volume 2:Issue 1(2020)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2019-11-04
• Subjects: celestial mechanics -- escape -- N‐body ring problem; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Periodicals; Numerical analysis; Mathematics -- Data processing; Periodicals; 004.0151
• DOI: 10.1002/cmm4.1067
• Languages: English
• ISSNs: 2577-7408

Abstract

Abstract : The aim of this paper is to start a numerical exploration of the escape in the N ‐body ring problem. When the energy of the orbits is larger than the escape energy, test particles may escape through any of the N openings of the potential well. We have computed the "basins" of escape toward the different directions by means of Poincaré sections. We have also analyzed the proportion of escaping orbits and the direction of escape.