Oscillatory orbits in the restricted planar four body problem
The restricted planar four body problem describes the motion of a massless bodyunder the Newtonian gravitational force of other three bodies (the primaries), of which themotion gives us general solutions of the three body problem.A trajectory is calledoscillatoryif it goes arbitrarily faraway but re...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2020 |
| 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:2117/345185 |
| Acceso en línea: | https://hdl.handle.net/2117/345185 https://dx.doi.org/10.1088/1361-6544/abaf5f |
| Access Level: | acceso abierto |
| Palabra clave: | Classificació AMS::70 Mechanics of particles and systems Àrees temàtiques de la UPC::Matemàtiques i estadística |
| Sumario: | The restricted planar four body problem describes the motion of a massless bodyunder the Newtonian gravitational force of other three bodies (the primaries), of which themotion gives us general solutions of the three body problem.A trajectory is calledoscillatoryif it goes arbitrarily faraway but returns infinitely manytimes to the same bounded region. We prove the existence of such type of trajectoriesprovided the primaries evolve in suitable periodic orbi |
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