A proper surface of section to study a new Hénon–Heiles potential with additional singular gravitational terms
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http://hdl.handle.net/10045/115290
Title: | A proper surface of section to study a new Hénon–Heiles potential with additional singular gravitational terms |
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Authors: | Navarro, Juan F. |
Research Group/s: | Geodesia Espacial y Dinámica Espacial |
Center, Department or Service: | Universidad de Alicante. Departamento de Matemática Aplicada |
Keywords: | Surface of section | Hénon–Heiles potential | Singular gravitational terms |
Knowledge Area: | Matemática Aplicada |
Issue Date: | 24-May-2021 |
Publisher: | Springer Nature |
Citation: | The European Physical Journal Plus. 2021, 136:573. https://doi.org/10.1140/epjp/s13360-021-01576-9 |
Abstract: | The analysis of the escape of a test particle from a Hénon–Heiles potential requires the computation of the ingoing and outgoing asymptotic trajectories to the periodic orbits located at the openings of the potential well. This analysis must be performed in an adequate surface of section. The presence of an additional gravitational potential, including a singularity at the origin of the system, makes impossible to carry out this study using the classical surfaces of section. The aim of this article is to contribute a new surface of section that allows the analysis of the sequence of intersections of those asymptotic trajectories to the Lyapunov orbits with the surface of section in a very simple way. |
URI: | http://hdl.handle.net/10045/115290 |
ISSN: | 2190-5444 |
DOI: | 10.1140/epjp/s13360-021-01576-9 |
Language: | eng |
Type: | info:eu-repo/semantics/article |
Rights: | © The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021 |
Peer Review: | si |
Publisher version: | https://doi.org/10.1140/epjp/s13360-021-01576-9 |
Appears in Collections: | INV - GEDE - Artículos de Revistas |
Files in This Item:
File | Description | Size | Format | |
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Navarro_2021_EurPhysJPlus_final.pdf | Versión final (acceso restringido) | 985,1 kB | Adobe PDF | Open Request a copy |
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