Orbital Motion Around the Collinear Libration Points of the Restricted Three-Body Problem

A. H. Ibrahim; M. N. Ismail; A. S. Zaghrout; S. H. Younis; M. O. El Shikh

doi:10.9734/JAMCS/2018/43370

Research Article Open access CC BY 4.0

Orbital Motion Around the Collinear Libration Points of the Restricted Three-Body Problem

A. H. Ibrahim, M. N. Ismail, A. S. Zaghrout, S. H. Younis, M. O. El Shikh

Journal of Advances in Mathematics and Computer Science · pp. 1–16 · Published 25 Sep 2018

10.9734/JAMCS/2018/43370

Abstract

In this work, the special solutions of the Restricted Three-Body Problem (RTBP) are presented which specify the locations of the equilibrium points. The periodic orbits around these libration points are obtained analytically and numerically. The Lissajous orbits around the collinear libration points are focused in this work. Earth-Moon-Spacecraft system is carried out to illustrate this study.

Lissajous orbits periodic orbits libration points restricted three-body problem

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A. H. Ibrahim, M. N. Ismail, A. S. Zaghrout, S. H. Younis, M. O. El Shikh (2018). Orbital Motion Around the Collinear Libration Points of the Restricted Three-Body Problem. Journal of Advances in Mathematics and Computer Science , 1–16. https://doi.org/10.9734/JAMCS/2018/43370

Affiliations

A. H. Ibrahim — Department of Astronomy and Meterology, Faculty of Science, Al-Azhar University, Egypt.
M. N. Ismail — Department of Astronomy and Meterology, Faculty of Science, Al-Azhar University, Egypt.
A. S. Zaghrout — Department of Mathematics, Faculty of Science (Girls), Al-Azhar University, Egypt.
S. H. Younis — Department of Mathematics, Faculty of Science (Girls), Al-Azhar University, Egypt.
M. O. El Shikh — Department of Mathematics, Faculty of Science (Girls), Al Qassim University, Saudi Arabia.

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