On the perturbed restricted three-body problem
- Elbaz I. Abouelmagd 1
- Juan L.G. Guirao 2
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1
National Research Institute of Astronomy and Geophysics
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National Research Institute of Astronomy and Geophysics
Ḩalwān, Egipto
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2
Universidad Politécnica de Cartagena
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ISSN: 2444-8656
Año de publicación: 2016
Volumen: 1
Número: 1
Páginas: 118-139
Tipo: Artículo
Otras publicaciones en: Applied Mathematics and Nonlinear Sciences
Resumen
In this survey paper we offer an analytical study regarding the perturbed planar restricted three-body problem in the case that the three involved bodies are oblate. The existence of libration points and their linear stability are explored under the effects of the perturbations in Coriolis and centrifugal forces. The periodic orbits around these points are also studied under these effects. Moreover, the elements of periodic orbits around these points are determined.