56 citations · 186 across the 6 of their papers we have counts for
6 papers
On the motion of satellite around the natural moons of planets using the concept of ER3BP with variable eccentricity
Sergey Ershkov, Dmytro Leshchenko, Evgeniy Prosviryakov
In the current study, we explore stability of motion of satellite around the natural moons of planets in Solar system using the novel concept of ER3BP with variable eccentricity. T…
About influence of differential rotation in convection zone of gaseous or fluid giant Planet (Uranus) onto the parameters of orbits of satellites
Sergey V. Ershkov, Dmytro Leshchenko, Elbaz I. Abouelmagd
Tidal interactions between Planet and its satellites are known to be the main phenomena, which are determining the orbital evolution of the satellites. We suggest in the current re…
Numerical integration of a relativistic two-body problem via a multiple scales method
Elbaz. I. Abouelmagd, S. M Elshaboury, H. H. Selim
We offer an analytical study on the dynamics of a two-body problem perturbed by small post-Newtonian relativistic term. We prove that, while the angular momentum is not conserved,…
Dynamics of a dumbbell satellite under the zonal harmonic effect of an oblate body
Elbaz I. Abouelmagd, Juan L. G. Guirao, Juan A. Vera
The aim of the present paper is to study the dynamics of a dumbbell satellite moving in a gravity field generated by an oblate body considering the effect of the zonal harmonic par…
Reduction the secular solution to the periodic solution in the generalized restricted three-body problem
Elbaz I. Abouelmagd, M. E. Awad, E. M. A. Elzayat +1
The aim of the present work is to reduce the secular solution around the triangular equilibrium points to periodic solution in the frame work of the generalized restricted thee-bod…
Revisiting solving procedure for Ermakov-Pinney equation (with applications in the field of cosmology)
Sergey Ershkov, Victor Christianto, Elbaz I. Abouelmagd
It is known that Ermakov-Pinney equation is a nonlinear equation with wide applications in dynamics, physics, cosmology (e.g., Ermakov equation can be connected to Bose-Einstein Co…