On the perturbed restricted three-body problem

Elbaz I. Abouelmagd ^[1] ; Juan L.G. Guirao ^[2]
1. [1] National Research Institute of Astronomy and Geophysics
  
  National Research Institute of Astronomy and Geophysics
  
  Egipto
2. [2] Universidad Politécnica de Cartagena
  
  Universidad Politécnica de Cartagena
  
  Cartagena, España
Localización: Applied Mathematics and Nonlinear Sciences, ISSN-e 2444-8656, Vol. 1, Nº. 1, 2016, págs. 118-139
Idioma: inglés
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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.