Transit regions and ejection/collision orbits in the RTBP
In this paper we analyse the global behaviour of the whole set of ejection orbits in the planar circular RTBP. We consider ejection from the big or the small primary, that is we take the mass parameter µ, the mass traditionally associated with the small primary, in a range of values µ ∈ (0,1) (the o...
| Autores: | , , |
|---|---|
| Tipo de documento: | artigo |
| Data de publicação: | 2021 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositório: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglês |
| OAI Identifier: | oai:ddd.uab.cat:236657 |
| Acesso em linha: | https://ddd.uab.cat/record/236657 https://dx.doi.org/urn:doi:10.1016/j.cnsns.2020.105550 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Ejection/collision orbits Transit regions Massive numerical simulations Global visualization |
| Resumo: | In this paper we analyse the global behaviour of the whole set of ejection orbits in the planar circular RTBP. We consider ejection from the big or the small primary, that is we take the mass parameter µ, the mass traditionally associated with the small primary, in a range of values µ ∈ (0,1) (the other primary has mass 1-µ). A discussion on the relation between the Lyapunov periodic orbit around the collinear equilibrium point L1 and the ejection orbits is carried out in the range of values of the Jacobi constant such that the associated Hill regions permit only a bounded movement. In particular a chaotic infinity of heteroclinic connections between a primary and the LPO1 are obtained. As a consequence a chaotic infinity of ejection-collision orbits is also derived. Finally, 2D plots, called colour code diagrams, allow to describe the global dynamics of the ejection orbits given a range of time. Such diagrams provide a very accurate understanding of the dynamics of the orbits under discussion. |
|---|