On the perturbed restricted three-body problem-Reference-Cited by-同舟云学术

On the perturbed restricted three-body problem

Published:2016-01-01 Issue:1 Volume:1 Page:123-144
ISSN:2444-8656
Container-title:Applied Mathematics and Nonlinear Sciences
language:en
Short-container-title:

Author:

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

Affiliation:

1. Celestial Mechanics Unit, Astronomy Department, National Research Institute of Astronomy and Geophysics (NRIAG) , Cairo , Egypt

2. Departamento de Matemática Aplicada y Estadística, Hospital de Marina , Universidad Politécnica de Cartagena , 30203 Cartagena, Región de Murcia , Spain

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Modeling and Simulation,General Computer Science

Link

https://www.sciendo.com/pdf/10.21042/AMNS.2016.1.00010

Reference30 articles.

1. Abouelmagd, E.I. (2012), Existence and stability of triangular points in the restricted three-body problem with numerical applications, Astrophys. Space Sci. 342: 45–53. 10.1007/s10509-012-1162-y

2. Abouelmagd, E.I., El-Shaboury, S.M. (2012), Periodic orbits under combined effects of oblateness and radiation in the restricted problem of three bodies, Astrophys. Space Sci. 341: 331–341. 10.1007/s10509-012-1093-7

3. Abouelmagd, E.I., Sharaf, M.A. (2013), The motion around the libration points in the restricted three-body problem with the effect of radiation and oblateness, Astrophys. Space Sci. 344: 321–332. 10.1007/s10509-012-1335-8

4. Abouelmagd, E.I., Asiri, H.M., Sharaf, M.A. (2013), The effect of oblateness in the perturbed restricted three-body problem, Meccanica 48: 2479–2490. 10.1007/s11012-013-9762-3

5. Abouelmagd, E.I. (2013), Stability of the triangular points under combined effects of radiation and oblateness in the restricted three-body problem, Earth Moon and Planets 110: 143–155. 10.1007/s11038-013-9415-5

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