Analysis of stability of non-collinear equilibrium points: Application to Sun–Mars and Proxima Centauri systems
R Mia, BR Prasadu, EI Abouelmagd - Acta Astronautica, 2023 - Elsevier
In the present work, we employ the modified elliptic restricted three-body problem by
considering some additional perturbed forces such as: the radiation pressure, the primaries' …
considering some additional perturbed forces such as: the radiation pressure, the primaries' …
First order stability test of equilibrium points in the planar elliptic restricted four body problem with radiating primaries
P Meena, R Kishor - Chaos, Solitons & Fractals, 2021 - Elsevier
This paper presents a rigorous analysis of existence of equilibrium points and
corresponding their first order stability test in the planar elliptic restricted four body problem …
corresponding their first order stability test in the planar elliptic restricted four body problem …
Impact of some perturbations on the generalized elliptic hill problem
AA Ansari, R Kellil, SK Sahdev - Mechanics of Solids, 2022 - Springer
The aim of the present work is to investigate the dynamical behavior of a variable mass
smallest body in R3BP configuration under the assumptions that both the massive bodies …
smallest body in R3BP configuration under the assumptions that both the massive bodies …
Semi-analytical approach in BiER4BP for exploring the stable positioning of the elements of a Dyson sphere
In this study, we present a new approach with semi-analytical and numerical findings for
solving equations of motion of small orbiter m, which is moving under the combined …
solving equations of motion of small orbiter m, which is moving under the combined …
Stability Analysis of the Rhomboidal Restricted Six‐Body Problem
MAR Siddique, AR Kashif, M Shoaib… - Advances in …, 2021 - Wiley Online Library
We discuss the restricted rhomboidal six-body problem (RR6BP), which has four positive
masses at the vertices of the rhombus, and the fifth mass is at the intersection of the two …
masses at the vertices of the rhombus, and the fifth mass is at the intersection of the two …
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 …
which play a crucial role towards the stabilisation of a mission design. Present paper deals …
Collinear and out-of-plane equilibrium points in the photo-gravitational ER4BP with oblate primaries
RR Dewangan, A Chakraborty… - AIP Conference …, 2023 - pubs.aip.org
This paper studies the presence of collinear and out of plane equilibrium points in the elliptic
restricted four body problem under the influence of radiation pressure and oblateness …
restricted four body problem under the influence of radiation pressure and oblateness …
Effect of the radiation and oblateness of primaries on the equilibrium points and pulsating ZVS in elliptic triangular restricted four body problem
RR Dewangan, A Chakraborty, MD Pandey - New Astronomy, 2023 - Elsevier
The problem studied in this paper models the system of four bodies, three of which are of
finite mass (primaries), moving in elliptic orbits around the centre of mass always …
finite mass (primaries), moving in elliptic orbits around the centre of mass always …
[PDF][PDF] Semi-Analytical Approach in BiER4BP for Exploring the Stable Positioning of the Elements of a Dyson Sphere. Symmetry 2023, 15, 326
S Ershkov, D Leshchenko, EY Prosviryakov - 2023 - researchgate.net
In this study, we present a new approach with semi-analytical and numerical findings for
solving equations of motion of small orbiter m, which is moving under the combined …
solving equations of motion of small orbiter m, which is moving under the combined …
Dynamics of a small planetoid in Newtonian gravity field of Lagrangian configuration of three primaries
Novel method for semi-analytical solving of equations of a trapped dynamics for a planetoid
m 4 close to the plane of mutual motion of main bodies around each other (in case of a …
m 4 close to the plane of mutual motion of main bodies around each other (in case of a …