Two periodic models for the earth-moon system
This paper discusses two alternative models to the Restricted Three Body Problem (RTBP) for the motion of a massless particle in the Earth-Moon system. These models are the Bicircular Problem (BCP) and the Quasi-Bicircular Problem (QBCP). While the RTBP is autonomous, the BCP and the QBCP are period...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2018 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/454359 |
| Acceso en línea: | https://hdl.handle.net/2117/454359 https://dx.doi.org/10.3389/fams.2018.00032 |
| Access Level: | acceso abierto |
| Palabra clave: | Restricted three body problem Bicircular problem Quasi-bicircular problem Periodic hamiltonian Stroboscopic map Invariant manifolds Àrees temàtiques de la UPC::Matemàtiques i estadística |
| Sumario: | This paper discusses two alternative models to the Restricted Three Body Problem (RTBP) for the motion of a massless particle in the Earth-Moon system. These models are the Bicircular Problem (BCP) and the Quasi-Bicircular Problem (QBCP). While the RTBP is autonomous, the BCP and the QBCP are periodically time dependent due to the inclusion of the Sun's gravitational potential. Each of the two alternative models is suitable for certain regions of the phase space. More concretely, we show that the BCP is more adequate to study the dynamics near the triangular points while the QBCP is more adequate for the dynamics near the collinear points. |
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