Article
On the perturbed restricted three-body problem
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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.
Keywords
Restricted three-body problem, Coriolis and centrifugal forces, Oblateness, Libration points, Stability, Periodic orbits, 70F05, 37C27, 37J30
Citation
Abouelmagd, E. I. & Guirao, J. L. (2016). On the perturbed restricted three-body problem. Applied Mathematics and Nonlinear Sciences, 1(1), 123–144. https://doi.org/10.21042/AMNS.2016.1.00010
E. I. Abouelmagd and J. L. Guirao, “On the perturbed restricted three-body problem,” Applied Mathematics and Nonlinear Sciences, vol. 1, no. 1, pp. 123–144, 2016, doi: 10.21042/AMNS.2016.1.00010.
Abouelmagd EI, Guirao JL. On the perturbed restricted three-body problem. Applied Mathematics and Nonlinear Sciences. 2016;1(1):123–144. doi:10.21042/AMNS.2016.1.00010.
Abouelmagd, E. I. and Guirao, J. L. (2016), ‘On the perturbed restricted three-body problem’, Applied Mathematics and Nonlinear Sciences, 1(1), pp. 123–144. Available at: https://doi.org/10.21042/AMNS.2016.1.00010.
Abouelmagd, Elbaz I., and Juan L.G. Guirao. “On the Perturbed Restricted Three-body Problem.” Applied Mathematics and Nonlinear Sciences, vol. 1, no. 1, 2016, pp. 123–144. https://doi.org/10.21042/AMNS.2016.1.00010.
Abouelmagd, Elbaz I., and Juan L.G. Guirao. “On the Perturbed Restricted Three-body Problem.” Applied Mathematics and Nonlinear Sciences 1, no. 1 (2016): 123–144. https://doi.org/10.21042/AMNS.2016.1.00010.
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Published by: Engineering Journals
