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 …

Robe's restricted three-body problem when one of the primaries is a finite straight segment

D Kumar, B Kaur, S Chauhan, V Kumar - International Journal of Non …, 2019 - Elsevier
In this paper we study the existence and linear stability of the equilibrium points in the
Robe's restricted three-body problem when one of the primaries is a finite straight segment …

Perturbed Robe's CR3BP with viscous force

AA Ansari, J Singh, ZA Alhussain… - Astrophysics and Space …, 2019 - Springer
This paper investigates the motion of a test particle (third body) in the frame work of Robe's
circular restricted three-body problem (RCR3BP) when it also experiences the viscous force …

Exploring the fractal basins of convergence in the restricted four-body problem with oblateness

MS Suraj, A Mittal, M Arora, R Aggarwal - International Journal of Non …, 2018 - Elsevier
The present manuscript deals with the restricted four-body problem when all the primaries
are oblate spheroids. This paper unveils the effect of oblateness on the existence, locations …

On the photo-gravitational restricted four-body problem with variable mass

A Mittal, R Agarwal, MS Suraj, M Arora - Astrophysics and Space Science, 2018 - Springer
This paper deals with the photo-gravitational restricted four-body problem (PR4BP) with
variable mass. Following the procedure given by Gascheau (CR 16: 393–394, 1843) and …

Effect of oblateness and viscous force in the Robe's circular restricted three-body problem

AA Ansari, J Singh, ZA Alhussain, H Belmabrouk - New Astronomy, 2019 - Elsevier
This paper studies the motion of a test particle (third body) in the Robe's circular restricted
three-body problem (CR3BP) when the fluid of the first primary is assumed to be viscous and …

The effect of small perturbations in the Coriolis and centrifugal forces on the existence of libration points in the restricted four‐body problem with variable mass

R Aggarwal, A Mittal, MS Suraj… - Astronomische …, 2018 - Wiley Online Library
This paper shows the effect of small perturbations in the Coriolis and centrifugal forces in the
restricted four‐body problem (R4BP) with variable mass. The existence, location, and …

Effect of finite straight segment and oblateness in the restricted 2+ 2 body problem

RK Verma, AK Pal, BS Kushvah, G Mahato - Archive of Applied Mechanics, 2023 - Springer
In this paper, we studied the oblateness and segment-length effect on the dynamics of the
restricted 2+ 2 body problem. It consists of two primaries and two infinitesimal bodies …

Effect of perturbations in the Coriolis and centrifugal forces in the Robe‐finite straight segment model with arbitrary density parameter

B Kaur, D Kumar, S Chauhan - Astronomische Nachrichten, 2020 - Wiley Online Library
The present article is a study of the effect of small perturbations ϵ and ϵ′ in the Coriolis
and centrifugal forces, respectively, on the existence and stability of the equilibrium points in …

On the perturbed restricted 2+ 2 body problem when the primaries are non-spherical

D Kumar, R Aggarwal, B Kaur - Few-Body Systems, 2021 - Springer
The present investigation deals with the outcomes of the small perturbations σ _1 σ 1 and σ
_2 σ 2 in the Coriolis and centrifugal forces respectively, in the oblate straight segment setup …