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

  2. 2 Universidad Politécnica de Cartagena
    info

    Universidad Politécnica de Cartagena

    Cartagena, España

    ROR https://ror.org/02k5kx966

Journal:
Applied Mathematics and Nonlinear Sciences

ISSN: 2444-8656

Year of publication: 2016

Volume: 1

Issue: 1

Pages: 118-139

Type: Article

DOI: 10.21042/AMNS.2016.1.00010 DIALNET GOOGLE SCHOLAR

More publications in: Applied Mathematics and Nonlinear Sciences

Abstract

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.

Data source: Dialnet