<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

On the perturbed restricted three-body problem

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"On the perturbed restricted three-body problem"}

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...

On the perturbed restricted three-body problem

Published Online: Jan 28, 2016

Page range: 123 - 144

Received: Nov 25, 2015

Accepted: Jan 28, 2016

DOI: https://doi.org/10.21042/AMNS.2016.1.00010

© 2016 Elbaz I. Abouelmagd, Juan L.G. Guirao, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Fig. 1

Fig. 2