On Robe's restricted problem with a modified Newtonian potential

EI Abouelmagd, AA Ansari… - International Journal of …, 2021 - World Scientific
We analyze the existence of equilibrium points for a particle or dust grain in the framework of
unperturbed and perturbed Robe's motion. This particle is moving in a spherical nebula …

Kind of Robe's restricted problem with heterogeneous irregular primary of N-layers when outer most layer has viscous fluid

AA Ansari - New Astronomy, 2021 - Elsevier
This paper deals with the properties of the motion of the test particle (third body) which is
moving in the outer layer of the heterogeneous body filled with the viscous fluid, under the …

Perturbed restricted problem of three bodies with elongated smaller primary

RK Verma, BS Kushvah, G Mahato, AK Pal - The Journal of the …, 2023 - Springer
This paper presents the study of the perturbed restricted problem of three bodies with an
elongated smaller primary and an oblate radiating bigger primary. The albedo effect and …

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 …

Effect of the Planetesimal Belt on the Dynamics of the Restricted Problem of 2+ 2 Bodies

G Mahato, AK Pal, S Alhowaity, EI Abouelmagd… - Applied Sciences, 2022 - mdpi.com
In this paper, we study the existence and stability of collinear and noncollinear equilibrium
points within the frame of the perturbed restricted problem of 2+ 2 bodies by a planetesimal …

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 …

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 …

An insight on the restricted problem of 2+ 2 bodies with straight segment

D Kumar, R Aggarwal, B Kaur - Astronomische Nachrichten, 2020 - Wiley Online Library
In the present paper, an effort to generalize the restricted problem of 2+ 2 bodies has been
made by considering the primary bodies m 1 and m 2 to be a point mass and straight …