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2018•World Journal of MechanicsOpen access

Lissajous Orbits at the Collinear Libration Points in the Restricted Three-Body Problem with Oblateness

Ahmed H. Ibrahim, Mohammed N. Ismail, Afaf A. S. Zaghrout, Saher H. Younis, Mayadah O. El Shikh

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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.

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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.

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Available 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.

Key concepts: Lissajous curve, Libration (molecule), Lagrangian point, Periodic orbits, Physics, Three-body problem, Classical mechanics, Equilibrium point

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