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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
engineering
The effect of oblateness in the perturbed restricted three-body problem
Meccanica, Volume 48, No. 10, Year 2013
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Description
In this paper the restricted three-body problem is generalized in the sense that the effects of oblateness of the three participating bodies as well as the small perturbations in the Coriolis and centrifugal forces are considered. The existence of equilibrium points, their linear stability and the periodic orbits around these points are studied under these effects. It is found that the positions of the collinear points and y-coordinate of the triangular points are not affected by the small perturbations in the Coriolis force. While x-coordinate of the triangular points is neither affected by the small perturbations in the Coriolis force nor the oblateness of the third body. Furthermore, the critical mass value and the elements of periodic orbits around the equilibrium points such as the semi-major and the semi-minor axes, the angular frequencies and corre- sponding periods may change by all the parameters of oblateness as well as the small perturbations in the Coriolis and centrifugal forces. This model could be applicable to send satellite or place telescope in stable regions in space. © 2013 Springer Science+Business Media Dordrecht.
Authors & Co-Authors
Abouelmagd, Elbaz I.
Saudi Arabia, Jeddah
King Abdulaziz University
Asiri, Hassan M.
Saudi Arabia, Jeddah
King Abdulaziz University
Sharaf, Mohammed Adel
Saudi Arabia, Jeddah
King Abdulaziz University
Statistics
Citations: 3
Authors: 3
Affiliations: 1
Identifiers
Doi:
10.1007/s11012-013-9762-3
ISSN:
00256455