On the perturbed restricted three-body problem

Applied Mathematics and Nonlinear Sciences

Abouelmagd Elbaz I.¹  Guirao Juan L.G.² 

[1] Celestial Mechanics Unit, Astronomy Department, National Research Institute of Astronomy and Geophysics (NRIAG), Cairo, Egypt;Departamento de Matemática Aplicada y Estadística, Hospital de Marina, Universidad Politécnica de Cartagena, 30203Cartagena, Región de Murcia, Spain;

关键词: restricted three-body problem;    coriolis and centrifugal forces;    oblateness;    libration points;    stability;    periodic orbits;    70f05;    37c27;    37j30;   

DOI  :  10.21042/AMNS.2016.1.00010

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown