Dependence of the probability of escape on the Jacobi constant in the N-body ring problem without central body
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Title: | Dependence of the probability of escape on the Jacobi constant in the N-body ring problem without central body |
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Authors: | Belgharbi, Ibrahim | Navarro, Juan F. |
Research Group/s: | Geodesia Espacial y Dinámica Espacial |
Center, Department or Service: | Universidad de Alicante. Departamento de Matemática Aplicada |
Keywords: | N-body ring problem | Absence of a central body | Probability of escape | Jacobi constant |
Issue Date: | 13-Apr-2023 |
Publisher: | Springer Nature |
Citation: | The European Physical Journal Plus. 2023, 138:332. https://doi.org/10.1140/epjp/s13360-023-03899-1 |
Abstract: | In this work, we perform a numerical exploration of the escape in the N-body ring problem in absence of a central body, for 4≤N≤9 and ten values of the Jacobi constant. We show how the probability of escape per interval of time varies as a function of the Jacobi constant, finding that, for values of the Jacobi constant smaller than a certain limit value, the probability of escape from the system tends to decrease with time. However, if we consider values of the Jacobi constant larger than this limit value, the probability of escape grows with time, for times of escape smaller than 100 units of time. |
Sponsor: | Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature. |
URI: | http://hdl.handle.net/10045/133743 |
ISSN: | 2190-5444 |
DOI: | 10.1140/epjp/s13360-023-03899-1 |
Language: | eng |
Type: | info:eu-repo/semantics/article |
Rights: | © The Author(s) 2023. Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. |
Peer Review: | si |
Publisher version: | https://doi.org/10.1140/epjp/s13360-023-03899-1 |
Appears in Collections: | INV - GEDE - Artículos de Revistas |
Files in This Item:
File | Description | Size | Format | |
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Belgharbi_Navarro_2023_EurPhysJPlus.pdf | 1,33 MB | Adobe PDF | Open Preview | |
This item is licensed under a Creative Commons License