Author(s)

Ahmed H. Ibrahim¹, Mohammed N. Ismail¹, Afaf S. Zaghrout², Saher H. Younis², Mayadah O. El Shikh³

¹Astronomy and Meteorology Department, Faculty of Science, Al-Azhar University, Cairo, Egypt.
²Mathematics Department, Faculty of Science (Girls), Al-Azhar University, Cairo, Egypt.
³Mathematics Department, Faculty of Science (Girls), Al Qassim University, Buraidah, Saudi Arabia.

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.

Lissajous Orbits, Periodic Orbits, Libration Points, Restricted Three-Body Problem, Oblate Spheroid

Ibrahim, A. , Ismail, M. , Zaghrout, A. , Younis, S. and El Shikh, M. (2018) Lissajous Orbits at the Collinear Libration Points in the Restricted Three-Body Problem with Oblateness. World Journal of Mechanics, 8, 242-252. doi: 10.4236/wjm.2018.86020.