Stability and asymptotic behaviour of the vertical family of periodic orbits around L_5 of the restricted three-body problem
In this work we study some numerical results about a family of periodic orbits of the Restricted Three Body Problem (RTBP). The family considered is one of the Lyapunov families related to the equlibrium point $L_5$. More concretely, we deal with the family related to the vertical oscillations aroun...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 1997 |
| 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:2117/1230 |
| Acceso en línea: | https://hdl.handle.net/2117/1230 |
| Access Level: | acceso abierto |
| Palabra clave: | Dynamics three-body problem periodic orbits Partícules (Física nuclear) Classificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanics |
| Sumario: | In this work we study some numerical results about a family of periodic orbits of the Restricted Three Body Problem (RTBP). The family considered is one of the Lyapunov families related to the equlibrium point $L_5$. More concretely, we deal with the family related to the vertical oscillations around this point. Here we present a study of the normal behaviour of this family for several values of the mass parameter $\mu$. We focus on the case in which $\mu$ tends to zero (note that $\mu=0$ is a degenerate case), and we identify the orbits for $\mu=0$ (they are Keplerian orbits around the primary) that give rise to the vertical family when $\mu\ne 0$. |
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