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 …

Orbit-attitude coupled motion around small bodies: Sun-synchronous orbits with Sun-tracking attitude motion

S Kikuchi, KC Howell, Y Tsuda, J Kawaguchi - Acta Astronautica, 2017 - Elsevier
The motion of a spacecraft in proximity to a small body is significantly perturbed due to its
irregular gravity field and solar radiation pressure. In such a strongly perturbed environment …

Investigating the impact of non-spherical bodies and three-body interactions on equilibrium dynamics in the circular restricted three-body problem

EM Moneer, S Elaissi, FL Dubeibe, EE Zotos - Chaos, Solitons & Fractals, 2023 - Elsevier
In this paper, we study a modified version of the classical restricted 3-body problem, which
introduces an additional mutual interaction force. Moreover, we extend our analysis to …

Short and long period periodic orbits around a stable collinear equilibrium point in the circular restricted three-body problem with a three-body interaction

O Ragos - New Astronomy, 2023 - Elsevier
We deal with a modification of the circular restricted three-body problem (CR3BP), which
incorporates an additional effect of a three-body interaction. The parameters determining the …

Mode analysis for long-term behavior in a resonant earth–moon trajectory

C Short, K Howell, A Haapala, D Dichmann - The Journal of the …, 2017 - Springer
Trajectory design in chaotic regimes allows for the exploitation of system dynamics to
achieve certain behaviors. For example, for the Transiting Exoplanet Survey Satellite (TESS) …

On the stability of the triangular equilibrium points in the elliptic restricted three-body problem with radiation and oblateness

VS Kalantonis, AE Perdiou, EA Perdios - Mathematical Analysis and …, 2019 - Springer
The elliptic restricted three-body problem when the primary is a source of radiation and the
secondary is an oblate spheroid is considered and the stability of the triangular equilibrium …

Combined effect of small perturbations in the Coriolis and centrifugal forces and three-body interaction on the existence of stationary points in the R3BP

MS Suraj, R Aggarwal, VK Aggarwal, MC Asique - New Astronomy, 2021 - Elsevier
In the present manuscript, the effects of small perturbations in the centrifugal and Coriolis
forces with additional effect of three-body interaction on the locations as well as stability of …

Orbit classification in the restricted three-body problem with the effect of three-body interaction

MS Suraj, S Alhowaity, R Aggarwal, MC Asique - New Astronomy, 2023 - Elsevier
The modified circular restricted three-body problem is numerically investigated to classify the
orbits of the test particle. We perform a numerical analysis on the various two-dimensional …

2D and 3D axi-symmetric horseshoe periodic orbits about Lagrangian points: A global grid search approach

S Yousuf, R Kishor - Icarus, 2022 - Elsevier
This paper presents the numerical exploration of planar as well as spatial periodic
horseshoe orbits about Lagrangian points in the framework of restricted three-body problem …

Stability of orbits near large mass ratio binary systems

N Bosanac, KC Howell, E Fischbach - Celestial Mechanics and Dynamical …, 2015 - Springer
With improved observational capabilities and techniques, an increasing number of
exoplanets have been discovered to orbit in the vicinity of binary star systems. In this …