Study of the ejection/collision orbits in the spatial RTBP using the McGehee regularization
Autor: | M. Ollé, Ó. Rodríguez, J. Soler |
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Přispěvatelé: | Universitat Politècnica de Catalunya. Departament de Matemàtiques, Universitat Politècnica de Catalunya. UPCDS - Grup de Sistemes Dinàmics de la UPC |
Rok vydání: | 2022 |
Předmět: |
Numerical Analysis
Física::Mecànica quàntica [Àrees temàtiques de la UPC] Ejection-collision orbits Parameterization method Applied Mathematics Modeling and Simulation Dinàmica 70 Mechanics of particles and systems::70F Dynamics of a system of particles including celestial mechanics [Classificació AMS] McGehee’s regularization Dynamics |
Zdroj: | Communications in Nonlinear Science and Numerical Simulation. 111:106410 |
ISSN: | 1007-5704 |
DOI: | 10.1016/j.cnsns.2022.106410 |
Popis: | 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. M. Ollé and O. Rodríguez were supported by the Spanish MINECO/FEDER grant PGC2018-100928-B-I00 and the Catalan, Spain grant 2017SGR-1049. M. Ollé is also supported by the Spanish Maria de Maeztu grant R&D CEX2020-001084-M. J. Soler was supported by MTM2016-77278-P. |
Databáze: | OpenAIRE |
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