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 …

The concentric Sitnikov problem: Circular case

MS Ullah, MJ Idrisi - Chaos, Solitons & Fractals, 2023 - Elsevier
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 …

Halo orbits around , , and in the photogravitational Sun–Mars elliptical restricted three-body problem

D Sheth, VO Thomas - Astrophysics and Space Science, 2022 - Springer
In the framework of Elliptical Restricted Three-Body Problem (ERTBP), we consider the
equations of motion of an infinitesimal body in dimensionless synodic coordinate system …

Halo Orbits under Some Perturbations in cr3bp

AB Albidah - Symmetry, 2023 - mdpi.com
The general idea of this paper is to study the effect of mass variation of a test particle on
periodic orbits in the restricted three-body model. In the circular restricted three-body …

Dynamics of the restricted three-body problem having elongated smaller primary with disc-like structure

G Mahato, BS Kushvah, AK Pal, RK Verma - Advances in Space Research, 2022 - Elsevier
In this paper, we have analysed the dynamical behavior of the restricted three-body problem
having elongated smaller primary with disc-like structure. We discuss the zero-velocity …

Analysis of albedo and disc effects in the generalized restricted four-body problem

M Kumar, AK Pal, RK Verma, BS Kushvah - Advances in Space Research, 2024 - Elsevier
This manuscript explores the Generalized Restricted Four-Body Problem within the context
of radiation pressure, the albedo effect, oblateness, and a disc-like structure that orbits …

Periodic solution of circular Sitnikov restricted four-body problem using multiple scales method

R Kumari, AK Pal, LK Bairwa - Archive of Applied Mechanics, 2022 - Springer
The main purpose of present work is to find approximated periodic solution in the compact
form of the circular Sitnikov restricted four-body problem by getting liberate of the secular …

On the periodic motion in the photo-gravitational planar elliptic restricted four body problem

P Meena, R Kishor - Chaos, Solitons & Fractals, 2024 - Elsevier
Since, orbital analysis in the vicinity of an equilibrium point of a dynamical system is a
fundamental key to explore and understand about its dynamical behaviour. This paper …

Floquet stability analysis of equilibrium points and numerical exploration of pulsating zero-velocity curves and Newton–Raphson basins of attraction

P Meena, R Kishor - Advances in Space Research, 2022 - Elsevier
An important and pivot aspect of a dynamical system is the stability property and its range,
which play a crucial role towards the stabilisation of a mission design. Present paper deals …

The photo-gravitational concentric Sitnikov problem

MJ Idrisi, MS Ullah - Astronomy and Computing, 2023 - Elsevier
The current framework involves a configuration of two pairs of primary celestial bodies
engaged in synchronized circular orbits around a central point of mass. Additionally, an …