M. N. Ismail

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 · 2018

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 collin...

Open access Research Article 10.9734/JAMCS/2018/43370

Variation Mass Effects on the Stability of Libration Points of Restricted Three Body Problem (Laplace Transformation)

Sahar H. Younis, Fatma M. Elmalky & M. N. Ismail · Journal of Advances in Mathematics and Computer Science · 2018

In this work a dynamical system of three bodies with decreasing mass with respect to time is deduced. The Jean’s law is applied onto equations of motion. The equations of motion in this case are differed from that with constant mass only by small perturbing force considered as th...

Open access Research Article 10.9734/JAMCS/2018/40842