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Lissajous Orbits at the Collinear Libration Points in the Restricted Three-Body Problem with Oblateness
Astronomy and Meteorology Department, Faculty of Science, Al-Azhar University, Cairo, Egypt
Astronomy and Meteorology Department, Faculty of Science, Al-Azhar University, Cairo, Egypt
Mathematics Department, Faculty of Science (Girls), Al-Azhar University, Cairo, Egypt
Mathematics Department, Faculty of Science (Girls), Al-Azhar University, Cairo, Egypt
Mathematics Department, Faculty of Science (Girls), Al Qassim University, Buraidah, Saudi Arabia
- 1 Astronomy and Meteorology Department, Faculty of Science, Al-Azhar University, Cairo, Egypt
- 2 Astronomy and Meteorology Department, Faculty of Science, Al-Azhar University, Cairo, Egypt
- 3 Mathematics Department, Faculty of Science (Girls), Al-Azhar University, Cairo, Egypt
- 4 Mathematics Department, Faculty of Science (Girls), Al-Azhar University, Cairo, Egypt
- 5 Mathematics Department, Faculty of Science (Girls), Al Qassim University, Buraidah, Saudi Arabia
World Journal of Mechanics·Volume 08 (2018)·Pages 242–252·Published 12 June 2018·DOI10.4236/wjm.2018.86020
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Abstract
In the present work, the collinear equilibrium points of the restricted three-body problem are studied under the effect of oblateness of the bigger primary using an analytical and numerical approach. The periodic orbits around these points are investigated for the Earth-Moon system. The Lissajous orbits and the phase spaces are obtained under the effect of oblateness.
KeywordsLissajous OrbitsPeriodic OrbitsLibration PointsRestricted Three-Body ProblemOblate Spheroid
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