Basins of Escape of the Particle’s Planar Motion in the Rectilinear (3 + 1)-Body Ring Problem
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| Title: | Basins of Escape of the Particle’s Planar Motion in the Rectilinear (3 + 1)-Body Ring Problem |
|---|---|
| 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: | Ordinary differential equations | Simulation of dynamical systems | N-body problems |
| Issue Date: | 31-Jul-2023 |
| Publisher: | Springer Nature |
| Citation: | Few-Body Systems. 2023, 64:71. https://doi.org/10.1007/s00601-023-01852-7 |
| Abstract: | The objective of this work is to study the motion of an infinitesimal particle in the gravitational field of three big bodies in a ring configuration consisting of two peripheral and one central bodies, when the energy of the particle does not allow the escape from the potential well of the system. We have numerically determined the basins of escape using a new surface of section. Additionally, we have computed and analyzed the geometry of the set of asymptotic trajectories of the periodic orbit that governs the escape from the neighborhood of one of the two satellites, which also defines the limiting curves of the basins of escape from this region. |
| Sponsor: | Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature. |
| URI: | http://hdl.handle.net/10045/136721 |
| ISSN: | 1432-5411 |
| DOI: | 10.1007/s00601-023-01852-7 |
| 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/10.1007/s00601-023-01852-7 |
| Appears in Collections: | INV - GEDE - Artículos de Revistas |
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| File | Description | Size | Format | |
|---|---|---|---|---|
 Belgharbi_Navarro_2023_Few-BodySyst.pdf | 758,01 kB | Adobe PDF | Open Preview | |
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