Fractal basins of attraction in the planar circular restricted three-body problem with oblateness and radiation pressure

EE Zotos - Astrophysics and Space Science, 2016 - Springer
In this paper we use the planar circular restricted three-body problem where one of the
primary bodies is an oblate spheroid or an emitter of radiation in order to determine the …

[PDF][PDF] Effect of Albedo on the motion of the infinitesimal body in circular restricted three-body problem with variable masses

AA Ansari - Italian Journal of Pure and Applied Mathematics, 2017 - researchgate.net
This paper presents the investigation of the effect of Albedo on the motion of the infinitesimal
body in the circular restricted three body problem with the variation of all masses (primaries …

Semi-analytical solution for the trapped orbits of satellite near the planet in ER3BP

S Ershkov, A Rachinskaya - Archive of Applied Mechanics, 2021 - Springer
In this paper, we present a new ansatz for solving equations of motion for the trapped orbits
of the infinitesimal mass (satellite), which is locked in the space trap to be moving near the …

A study of albedo effects on libration points in the elliptic restricted three-body problem

MJ Idrisi, MS Ullah - The Journal of the Astronautical Sciences, 2020 - Springer
This paper deals with the libration points in the elliptic restricted three-body problem. The
combined effects of the primary bodies' orbital eccentricity and albedo on the existence and …

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 …

Solving procedure for 3D motions near libration points in CR3BP

SV Ershkov, D Leshchenko - Astrophysics and Space Science, 2019 - Springer
In a novel approach for solving the equations of the Circular Restricted Three-Body Problem
(CR3BP) first formulated in Ershkov (Acta Mech. 228 (7): 2719–2723, 2017a), we apply in …

Revisiting the dynamics of finite-sized satellite near the planet in ER3BP

S Ershkov, D Leshchenko, A Rachinskaya - Archive of Applied Mechanics, 2022 - Springer
A novel approach for solving equations of motion of finite-sized satellite supposed to be
moving in a proximity and around the planet in the elliptic restricted three-body problem …

Capture in Regime of a Trapped Motion with Further Inelastic Collision for Finite-Sized Asteroid in ER3BP

S Ershkov, D Leshchenko, A Rachinskaya - Symmetry, 2022 - mdpi.com
The application of a modern solving algorithm or method of resolving dynamical equations
for small projectile of finite sizes orbiting to be captured in a trapped zigzaging oscillations …

The dynamics of asteroid rotation, governed by YORP effect: the kinematic ansatz

SV Ershkov, RV Shamin - Acta Astronautica, 2018 - Elsevier
The main motivation of this research is the analytical exploration of the dynamics of asteroid
rotation when it moves in elliptic orbit through Space. According to the results of Efroimsky …

Existence and stability of equilibrium points in the R3BP with triaxial-radiating primaries and an oblate massless body under the effect of the circumbinary disc

AE Vincent, AE Perdiou, EA Perdios - Frontiers in Astronomy and …, 2022 - frontiersin.org
The aim of this article is to study the existence, location, and stability of equilibrium points in
a generalized restricted three-body problem (R3BP) that consists of an oblate infinitesimal …