Study of the ejection/collision orbits in the spatial RTBP using the McGehee regularization

In this paper we analyse the McGehee regularization of the collision in the spatial Restricted three-body problem (3D RTBP). As a particular application, we study the ejection (collision) orbits. The parameterization method is applied up to high order to obtain suitable initial conditions of ejectio...

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Detalles Bibliográficos
Autores: Ollé Torner, Mercè|||0000-0002-8050-9055, Rodríguez del Río, Óscar|||0000-0002-4545-5135, Soler Villanueva, Jaume|||0000-0002-6220-5170
Tipo de recurso: artículo
Fecha de publicación:2022
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:2117/382356
Acceso en línea:https://hdl.handle.net/2117/382356
https://dx.doi.org/10.1016/j.cnsns.2022.106410
Access Level:acceso abierto
Palabra clave:Dynamics
McGehee’s regularization
Parameterization method
Ejection-collision orbits
Dinàmica
Classificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanics
Àrees temàtiques de la UPC::Física::Mecànica quàntica
Descripción
Sumario:In this paper we analyse the McGehee regularization of the collision in the spatial Restricted three-body problem (3D RTBP). As a particular application, we study the ejection (collision) orbits. The parameterization method is applied up to high order to obtain suitable initial conditions of ejection (collision) orbits. Moreover, assuming ejection orbits, different methods are discussed to detect which of them are also collision orbits. Finally we explore the so called ejection-collision (EC) orbits, that is, orbits where the particle ejects from one primary, reaches a maximum in the distance with respect to the same primary, and ends at collision with that primary. Some results concerning the existence of spatial EC orbits are described.