Numerical exploration of the quantized Hill problem dynamics
AE Vincent, EI Abouelmagd, EA Perdios… - Chaos, Solitons & …, 2024 - Elsevier
In this paper, a numerical exploration of the perturbed Hill three-body problem under
quantum corrections is performed. In particular, the existence of location for the equilibrium …
quantum corrections is performed. In particular, the existence of location for the equilibrium …
The concentric Sitnikov problem: Circular case
A new configuration in the sense of concentric Sitnikov problem is introduced in this paper.
This configuration consists of four primaries P i (i= 1, 2, 3, 4) of masses mi, respectively …
This configuration consists of four primaries P i (i= 1, 2, 3, 4) of masses mi, respectively …
[HTML][HTML] Three-body problem—From Newton to supercomputer plus machine learning
The famous three-body problem can be traced back to Newton in 1687, but quite few
families of periodic orbits were found in 300 years thereafter. In this paper, we propose an …
families of periodic orbits were found in 300 years thereafter. In this paper, we propose an …
Equilibrium points and lyapunov families in the circular restricted three-body problem with an oblate primary and a synchronous rotating dipole secondary: Application …
AE Vincent, GA Tsirogiannis, AE Perdiou… - New Astronomy, 2024 - Elsevier
We numerically study a version of the synchronous circular restricted three-body problem,
where an infinitesimal mass body is moving under the Newtonian gravitational forces of two …
where an infinitesimal mass body is moving under the Newtonian gravitational forces of two …
Numerical investigation for periodic orbits in the Hill three-body problem
VS Kalantonis - Universe, 2020 - mdpi.com
The current work performs a numerical study on periodic motions of the Hill three-body
problem. In particular, by computing the stability of its basic planar families we determine …
problem. In particular, by computing the stability of its basic planar families we determine …
Finite-sized orbiter's motion around the natural moons of planets with slow-variable eccentricity of their orbit in ER3BP
S Ershkov, D Leshchenko, EY Prosviryakov… - Mathematics, 2023 - mdpi.com
This article is devoted to the study of the stability of movement of a satellite of finite size
around the natural satellites of the planets in the solar system, using the new concept of …
around the natural satellites of the planets in the solar system, using the new concept of …
Investigating the properties of equilibrium points of the collinear restricted 4-body problem
HI Alrebdi, NAM Alsaif, MS Suraj, EE Zotos - Planetary and Space Science, 2023 - Elsevier
The circular version of the planar restricted 4-body problem is considered. We assume that
the two peripheral bodies have no spherical shape, but they are either prolate or oblate. The …
the two peripheral bodies have no spherical shape, but they are either prolate or oblate. The …
Families of periodic orbits about Lagrangian points L1, L2 and L3 with continuation method
This study deals the impact of radiation pressure and albedo from the respective primaries in
the context of regularized periodic motion of infinitesimal mass under the frame of restricted …
the context of regularized periodic motion of infinitesimal mass under the frame of restricted …
Interaction of bodies in the circular restricted 3-body problem with variable mass
AB Albidah, AA Ansari, R Kellil - Astronomy and Computing, 2023 - Elsevier
This paper presents the motion properties of a test particle under gravitational forces
generated by the primaries. The interactions of three-body and the effects of the Coriolis as …
generated by the primaries. The interactions of three-body and the effects of the Coriolis as …
Approximation solution of the nonlinear circular sitnikov restricted four–body problem
R Kumari, AK Pal, EI Abouelmagd, S Alhowaity - Symmetry, 2021 - mdpi.com
In this paper, the approximated periodic solutions of the circular Sitnikov restricted four–body
problem (RFBP) were constructed using the Lindstedt–Poincaré method, by removing the …
problem (RFBP) were constructed using the Lindstedt–Poincaré method, by removing the …