On the perturbed restricted three-body problem

  1. Elbaz I. Abouelmagd 1
  2. Juan L.G. Guirao 2
  1. 1 National Research Institute of Astronomy and Geophysics
    info
    National Research Institute of Astronomy and Geophysics

    Ḩalwān, Egipto

    ROR https://ror.org/01cb2rv04

    Localització geogràfica de l'organització National Research Institute of Astronomy and Geophysics
  2. 2 Universidad Politécnica de Cartagena
    info
    Universidad Politécnica de Cartagena

    Cartagena, España

    ROR https://ror.org/02k5kx966

    Localització geogràfica de l'organització Universidad Politécnica de Cartagena
Revista:
Applied Mathematics and Nonlinear Sciences

ISSN: 2444-8656

Any de publicació: 2016

Volum: 1

Número: 1

Pàgines: 118-139

Tipus: Article

DOI: 10.21042/AMNS.2016.1.00010 DIALNET GOOGLE SCHOLAR

Altres publicacions en: Applied Mathematics and Nonlinear Sciences

Resum

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.

Font de les dades: Dialnet